SB1-SB2 Answer Key

34
*2 21 Name Practice Test 5.OA.1 Write and interpret numerical expressions. 1. Find the property that each equation shows. Write the equation in the correct box. Identity Property of Addition 0 + 16 = 16 Commutative Property of Multiplication 87 × 3 = 3 × 87 Identity Property of Multiplication 1 × 9 = 9 Associative Property of Multiplication 15 × (7 × 9) = (15 × 7) × 9 Commutative Property of Addition 23 + 4 + 109 = 4 + 23 + 109 Associative Property of Addition 13 + (3 + 7) = (13 + 3) + 7 2. For numbers 2a–2b, select Yes or No to indicate whether the value of the equation is correct. 2a. 55 (12 + 2), value: 41 Yes No 2b. 25 + (144) ÷ 5, value: 27 Yes No 3. Carmine buys 8 plates for $1 each. He also buys 4 bowls. Each bowl costs twice as much as each plate. The store is having a sale that gives Carmine $3 off the bowls. Which numerical expression shows how much he spent? A (8 × 1) + [(4 × 16) 3] C (8 × 1) + [(4 × 2) 3] B (8 × 1) + [4 × (16 3)] D (8 × 4) + [(4 × 2) 3] 15 × (7 × 9) = (15 × 7) × 9 23 + 4 + 109 = 4 + 23 + 109 13 + (3 + 7) = (13 + 3) + 7 87 × 3 = 3 × 87 1 × 9 = 9 0 + 16 = 16 SB1 Smarter Balanced Test Prep © Houghton Mifflin Harcourt Publishing Company Practice Test 6723 Name Practice Test 4. Valerie earns $24 per hour. Which expression can be used to show how much money she earns in 7 hours? A (7 + 20) + (7 + 4) B (7 × 20) + (7 × 4) C (7 + 20) × (7 + 4) D (7 × 20) × (7 × 4) 5. Evaluate the numerical expression. 2 + (65 + 7) × 3 = 218 6. Jackie followed these steps to evaluate the expression 15 (37 + 8) ÷ 3. 37 + 8 = 45 45 15 = 30 30 ÷ 3 = 10 Mark looks at Jackie’s work and says she made a mistake. He says she should have divided by 3 before she subtracted. Part A Which student is correct? Explain how you know. Mark; Possible answer: According to the order of operations, you should perform division before subtraction. Part B Evaluate the expression. 37 + 8 = 45 45 ÷ 3 = 15 15 15 = 0 SB2 Smarter Balanced Test Prep © Houghton Mifflin Harcourt Publishing Company Practice Test SB1-SB2 Answer Key Smarter Balanced Test Prep © Houghton Mifflin Harcourt Publishing Company

Transcript of SB1-SB2 Answer Key

Page 1: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

5.O

A.1

W

rite a

nd in

terp

ret n

umer

ical

expr

essio

ns.

1

. Fin

d t

he p

rop

ert

y th

at

each

eq

uation

sh

ow

s.

Wri

te t

he e

qu

ation

in

th

e c

orr

ect

box.

Iden

tity

Pro

pert

y

of

Ad

ditio

n

0 +

16

= 1

6

Com

muta

tive

Pro

pert

y

of

Mu

ltip

lication

87

× 3

= 3

× 8

7

Iden

tity

Pro

pert

y

of

Mu

ltip

lication

1 ×

9 =

9

Ass

ocia

tive

Pro

pert

y

of

Mu

ltip

lication

15

× (

7 ×

9)

= (

15

× 7

) ×

9

Com

mu

tative

Pro

pert

y

of

Ad

ditio

n

23

+ 4

+ 1

09

= 4

+ 2

3 +

10

9

Ass

ocia

tive

Pro

pert

y

of

Ad

ditio

n

13 +

(3 +

7)

= (

13 +

3)

+ 7

2

. For

nu

mb

ers

2a–2

b, se

lect

Yes

or

No t

o in

dic

ate

wh

eth

er

the

valu

e o

f th

e e

qu

ation

is

corr

ect.

2a.

55

− (

12

+ 2

), v

alu

e: 4

1

Y

es

N

o

2b

. 2

5 +

(1

4−

4)

÷ 5

, va

lue: 2

7

Y

es

N

o

3

. C

arm

ine b

uys

8 p

late

s fo

r $

1 e

ach

. H

e a

lso b

uys

4 b

ow

ls.

Each

bow

l cost

s tw

ice a

s m

uch

as

each

pla

te. Th

e s

tore

is

havi

ng

a s

ale

th

at

giv

es

Carm

ine $

3 o

ff t

he b

ow

ls. W

hic

h

nu

meri

cal exp

ress

ion

sh

ow

s h

ow

mu

ch

he s

pen

t?

A

(8 ×

1)

+ [

(4 ×

16

) −

3]

C

(8 ×

1)

+ [

(4 ×

2)

− 3

]

B

(8 ×

1)

+ [

4 ×

(1

6 −

3)]

D

(8

× 4

) +

[(4

× 2

) −

3]

15

× (

7 ×

9)

= (1

5 ×

7)

× 9

23 +

4 +

109 =

4 +

23 +

109

13

+ (

3 +

7)

= (

13

+ 3

) +

78

7 ×

3 =

3 ×

87

1 ×

9 =

90

+ 1

6 =

16

SB1

Smar

ter B

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ny

Prac

tice

Test

Na

me

Prac

tice

Test

4

. V

ale

rie e

arn

s $

24

per

hou

r. W

hic

h e

xpre

ssio

n c

an

be u

sed

to s

how

how

mu

ch

mon

ey

she e

arn

s in

7 h

ou

rs?

A

(7 +

20

) +

(7

+ 4

)

B

(7 ×

20

) +

(7

× 4

)

C

(7 +

20

) ×

(7

+ 4

)

D

(7 ×

20

) ×

(7

× 4

)

5

. Eva

luate

th

e n

um

eri

cal exp

ress

ion

.

2 +

(6

5 +

7)

× 3

=

218

6

. Ja

ckie

follo

wed

th

ese

ste

ps

to e

valu

ate

th

e e

xpre

ssio

n 1

5 −

(3

7 +

8)

÷ 3

.

37

+ 8

= 4

5

45

−1

5 =

30

30

÷ 3

= 1

0

Mark

looks

at

Jackie

’s w

ork

an

d s

ays

sh

e m

ad

e a

mis

take.

He s

ays

sh

e s

hou

ld h

ave

div

ided

by

3 b

efo

re s

he s

ub

tracte

d.

Par

t A

Wh

ich

stu

den

t is

corr

ect?

Exp

lain

how

you

kn

ow

.

Ma

rk;

Po

ss

ible

an

sw

er:

Ac

co

rdin

g t

o t

he

ord

er

of

op

era

tio

ns

, yo

u s

ho

uld

pe

rfo

rm d

ivis

ion

be

fore

su

btr

ac

tio

n.

Par

t B

Eva

luate

th

e e

xpre

ssio

n.

37

+ 8

= 4

5

45

÷ 3

= 1

5

15

− 1

5 =

0

SB2

Smar

ter B

alan

ced

Test

Pre

Hou

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n M

ifflin

Har

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t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB1-SB2 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 2: SB1-SB2 Answer Key

Na

me

1

. A

n a

du

lt e

lep

han

t eats

ab

ou

t 3

00

pou

nd

s of

food

each

day.

Wri

te a

n e

xpre

ssio

n t

o r

ep

rese

nt

the n

um

ber

of

pou

nd

s of

food

a h

erd

of

12

ele

ph

an

ts e

ats

in

5 d

ays

.

5 ×

(3

00

× 1

2)

2

. Tara

bou

gh

t 2

bott

les

of

juic

e a

day

for

15

days

. O

n t

he 1

6th

day,

Tara

bou

gh

t 7

bott

les

of

juic

e. W

rite

an

exp

ress

ion

th

at

matc

hes

the w

ord

s.

(2 ×

15

) +

7

3

. P

au

l d

isp

lays

his

sp

ort

s tr

op

hie

s on

sh

elv

es

in h

is r

oom

. H

e h

as

5 t

rop

hie

s on

each

of

3 s

helv

es

an

d 2

tro

ph

ies

on

an

oth

er

shelf.

Wri

te a

n e

xpre

ssio

n t

o r

ep

rese

nt

the n

um

ber

of

trop

hie

s P

au

l

dis

pla

ys.

(5 ×

3)

+ 2

4

. P

ete

r ra

n 3

mile

s a d

ay

for

17

days

. O

n t

he 1

8th

day,

Pete

r ra

n 5

mile

s. W

rite

an

exp

ress

ion

th

at

matc

hes

the w

ord

s.

(3 ×

17

) +

5

Prac

tice

Test

5.O

A.2

W

rite a

nd in

terp

ret n

umer

ical

expr

essio

ns.

SB3

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

5

. D

an

iel b

ou

gh

t 3

0 t

oken

s w

hen

he a

rriv

ed

at

the f

est

ival.

He w

on

8 m

ore

token

s fo

r g

ett

ing

th

e h

igh

est

score

at

the b

ask

etb

all

con

test

, b

ut

lost

6 t

oken

s at

the r

ing

toss

gam

e. W

rite

an

exp

ress

ion

to f

ind

th

e n

um

ber

of

token

s

Dan

iel h

as

left

.

30

+ 8

– 6

6

. W

rite

12

.9 +

8 u

sing

word

s.

Po

ss

ible

an

sw

er:

Ad

d 8

to

12

an

d 9

te

nth

s.

7

. W

rite

8 ÷

(7

− 5

) usi

ng

word

s.

Po

ss

ible

an

sw

er:

8 d

ivid

ed

by

th

e d

iffe

ren

ce

of

7 a

nd

5

8

. For

nu

mb

ers

8a–8

e, se

lect

Yes

or

No t

o in

dic

ate

wh

eth

er

the e

xpre

ssio

n r

ep

rese

nts

mu

ltip

lyin

g t

he s

um

of

8 a

nd

2 b

y 6

.

8a.

8 +

2 ×

6

Y

es

N

o

8b

. (8

+ 2

) ×

6

Y

es

N

o

8c.

8 +

(2

× 6

) Y

es

N

o

8d

. 6

× (

8 +

2)

Y

es

N

o

8e.

6 ×

8 +

2

Y

es

N

o

SB4

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB3-SB4 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 3: SB1-SB2 Answer Key

Na

me

1

. Th

e t

ab

le s

how

s tw

o s

eq

uen

ces

of

nu

mb

ers

.

Da

y1

23

45

Nu

mb

er

of

T-sh

irts

so

ld5

10

15

20

25

Am

ou

nt

ea

rne

d (

$)

20

40

60

80

?

For

nu

mb

ers

1a–1

b, ch

oose

th

e c

orr

ect

valu

es

to d

esc

rib

e

how

on

e s

eq

uen

ce is

rela

ted

to t

he o

ther.

1a.

Th

e u

nkn

ow

n n

um

ber

in D

ay

5 is

9

0

10

0

12

0

.

1b

. Th

e r

ule

th

at

desc

rib

es

how

th

e n

um

ber

of

T-s

hir

ts s

old

rela

tes

to t

he a

mou

nt

earn

ed

is

.

2

. Ja

wan

mad

e a

tab

le t

o f

igu

re o

ut

how

mu

ch

he e

arn

s at

his

job

.

Jo

b E

arn

ing

s

We

ek

12

34

...

6

Ho

urs

Wo

rke

d6

12

18

24

...

36

Am

ou

nt

Ea

rne

d (

$)

54

108

162

216

...

?

Par

t A

Wri

te a

ru

le t

hat

rela

tes

the a

mou

nt

Jaw

an

earn

s to

the n

um

ber

of

hou

rs w

ork

ed

. Exp

lain

how

you

can

ch

eck y

ou

r ru

le.

Po

ss

ible

an

sw

er:

Th

e r

ule

is

mu

ltip

ly b

y 9

. I

ca

n c

he

ck

by

mu

ltip

lyin

g t

he

nu

mb

er

of

ho

urs

wo

rke

d e

ach

day

by

9. T

he

pro

du

ct

wil

l e

qu

al

the

am

ou

nt

ea

rne

d i

n t

he

ta

ble

.

Par

t B

How

mu

ch

does

he e

arn

fro

m h

is job

by

the e

nd

of

Week 6

?

$

ad

d 1

5

mu

ltip

ly b

y 5

mu

ltip

ly b

y 4Pr

actic

e Te

st5.

OA

.3

Anal

yze p

atte

rns a

nd re

latio

nshi

ps.

32

4

SB5

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

3

. Look f

or

a p

att

ern

.

Figu

re 1

Figu

re 2

Figu

re 3

Figu

re 4

Wh

at

is t

he r

ule

?

How

man

y sq

uare

s w

ill t

here

be in

Fig

ure

5?

sq

uare

s

4

. S

teve

n is

bu

yin

g a

new

mou

nta

in b

ike o

n laya

way

for

$2

72

.

If h

e p

ays

$3

4 e

ach

week, h

ow

man

y w

eeks

will

it

take

Ste

ven

to p

ay

for

the b

ike?

How

can

makin

g a

tab

le h

elp

you

solv

e t

he p

rob

lem

?

8 w

ee

ks

; P

os

sib

le e

xp

lan

ati

on

: I

ca

n m

ake

a t

ab

le t

ha

t

sh

ow

s h

ow

mu

ch

Ste

ve

n p

ays

ea

ch

we

ek

an

d t

he

to

tals

un

til

I re

ach

$2

72

.

5

. Look f

or

a p

att

ern

.

Figu

re 1

Figu

re 2

Figu

re 3

Figu

re 4

Wh

at

is t

he r

ule

?

How

man

y sq

uare

s w

ill t

here

be in

Fig

ure

5?

s

qu

are

s13

ad

d 2

ad

d 2

11

SB6

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB5-SB6 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 4: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

5.N

BT.1

Un

derst

and t

he pl

ace v

alue

syste

m.

1

.For

nu

mb

ers

1a–1

d s

ele

ct

Yes

or

No t

o in

dic

ate

wh

eth

er

each

sta

tem

en

t is

corr

ect.

1a.

17

0 is

1

__

10 o

f 1

7

Y

es

N

o

1b

. 6

60

is

10

tim

es

as

mu

ch

as

60

0

Y

es

N

o

1c.

90

0 is

1

__

10 o

f 9

,00

0

Y

es

N

o

1d

. 4

,40

0 is

10

tim

es

as

much

as

44

0

Y

es

N

o

2

. C

arr

ie h

as

14

0 c

oin

s. S

he h

as

10

tim

es

as

man

y coin

s as

she

had

last

mon

th. H

ow

man

y coin

s d

id C

arr

ie h

ave

last

mon

th?

3

. S

ele

ct

oth

er

ways

to w

rite

70

0,5

62

. M

ark

all

that

ap

ply

.

A

(7 ×

10

0,0

00

) +

( 5

× 1

,00

0 )

+ (

6 ×

10

) +

( 2

× 1

)

B

seve

n h

un

dre

d t

hou

san

d, five

hu

nd

red

six

ty-t

wo

C

70

0,0

00

+ 5

00

+ 6

0 +

2

D

7 h

un

dre

d t

hou

san

ds

+ 5

hu

nd

red

s +

62

ten

s

4

. S

had

e t

he m

od

el to

sh

ow

th

e d

ecim

al 0

.54

2.

14

SB7

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

5

. S

ele

ct

oth

er

ways

to w

rite

50

,89

7. M

ark

all

that

ap

ply

.

A

(5 ×

10

,00

0)

+ (

8 ×

10

0)

+ (

9 ×

10

) +

(7

× 1

)

B

50

,00

0 +

80

0 +

90

+ 7

C

5,0

00

+ 8

00

+ 9

0 +

7

D

fift

y th

ou

san

d, eig

ht

hu

nd

red

nin

ety

-seve

n

6

. 0

.84

is

10

tim

es

as

mu

ch

as

0.0

84

0.8

4

8.4 84

an

d

1

___

10 o

f

0.0

84

0.8

4

8.4 84

.

7

. S

had

e t

he m

od

el to

sh

ow

th

e d

ecim

al 0

.67

4.

8

. 0

.92

is

10

tim

es

as

mu

ch

as

0.0

09

2

0.0

92

0.9

2

9.2

an

d

1

___

10 o

f

0.0

09

2

0.0

92

0.9

2

9.2

.

SB8

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB7-SB8 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 5: SB1-SB2 Answer Key

Na

me

1

. Th

e t

ab

le s

how

s th

e e

qu

ation

s M

s. V

ale

z d

iscu

ssed

in

math

cla

ss t

od

ay.

Eq

uati

on

s

6 ×

10

0 =

6

6 ×

10

1 =

60

6 ×

10

2 =

600

6 ×

10

3 =

6,0

00

Exp

lain

th

e p

att

ern

of

zero

s in

th

e p

rod

uct

wh

en

mu

ltip

lyin

g

by

pow

ers

of

10

.

Po

ss

ible

ex

pla

na

tio

n:

Fo

r e

ach

po

we

r o

f te

n, th

e

nu

mb

er

of

ze

ros

wri

tte

n a

fte

r th

e b

as

e i

s t

he

sa

me

as

the

nu

mb

er

in t

he

ex

po

ne

nt.

2

. O

mar

is m

akin

g a

scale

mod

el of

the S

tatu

e o

f Lib

ert

y fo

r a

rep

ort

on

New

York

City.

Th

e S

tatu

e o

f Lib

ert

y is

30

5 f

eet

tall

measu

rin

g f

rom

th

e g

rou

nd

to t

he t

ip o

f th

e t

orc

h. If

th

e m

od

el

is

1

___

10

0 t

he a

ctu

al si

ze o

f th

e S

tatu

e o

f Lib

ert

y, h

ow

tall

is t

he m

od

el?

feet

3

. For

nu

mb

ers

3a–3

d, ch

oose

Yes

or

No t

o in

dic

ate

wh

eth

er

the p

rod

uct

is c

orr

ect.

3a.

0.6

2 ×

10

= 6

2

Y

es

N

o

3b

.

0

.53

× 1

0 =

5.3

Y

es

N

o

3c.

0

.09

× 1

00

= 9

Y

es

N

o

3d

. 0

.60

× 1

,00

0 =

60

Y

es

N

o

Prac

tice

Test

5.N

BT.2

Un

derst

and t

he pl

ace v

alue

syste

m.

3.0

5

SB9

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

4

. N

icole

is

makin

g 1

,00

0 b

ow

s fo

r p

eop

le w

ho d

on

ate

to t

he

libra

ry b

ook s

ale

. S

he n

eed

s a p

iece o

f ri

bb

on

th

at

is 0

.75

mete

r

lon

g f

or

each

bow

. H

ow

man

y m

ete

rs o

f ri

bb

on

does

Nic

ole

need

to m

ake t

he b

ow

s? E

xpla

in h

ow

to f

ind

th

e a

nsw

er.

75

0 m

ete

rs;

Po

ss

ible

ex

pla

na

tio

n:

Mu

ltip

ly 1

,00

0 b

y

0.7

5 b

y m

ov

ing

th

e d

ec

ima

l p

oin

t 3

pla

ce

s t

o t

he

rig

ht.

5

. R

ita is

hik

ing

alo

ng a

tra

il th

at

is 1

3.7

mile

s lo

ng

. S

o f

ar

she

has

hik

ed

alo

ng

on

e-t

en

th o

f th

e t

rail.

How

far

has

Rita h

iked

?

mile

s

6

. U

se t

he n

um

bers

on

th

e t

iles

to w

rite

th

e v

alu

e o

f each

exp

ress

ion

. Y

ou

can

use

a t

ile m

ore

th

an

on

ce o

r n

ot

at

all.

35

.5 ÷

10

0 =

35

.5 ÷

10

=

35

.5 ÷

10

2 =

7

. S

ele

ct

oth

er

ways

to e

xpre

ss 1

04. M

ark

all

that

ap

ply

.

A

10

× 4

B

10

+ 4

C

1,0

00

D

10

,00

0

E

10

+ 1

0 +

10

+ 1

0

F

10

× 1

0 ×

10

× 1

0

.

0

3

5

1.3

7

35

.5

3.5

5

0.3

55

SB10

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB9-SB10 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 6: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

5.N

BT.3

a Un

derst

and t

he pl

ace v

alue

syste

m.

1

. W

hat

is t

he v

alu

e o

f th

e u

nd

erl

ined

dig

it?

Mark

all

that

ap

ply

.

0.6

79

A 0

.6

D si

x h

un

dre

dth

s

B 0

.06

E 6

×

1

___

10

C si

x te

nth

s

2

. C

hoose

th

e v

alu

e t

hat

makes

the s

tate

men

t tr

ue.

In t

he n

um

ber

1.0

25

, th

e v

alu

e o

f th

e d

igit 2

is

2

on

es

ten

ths

hu

nd

red

ths

thou

san

dth

s

, an

d t

he v

alu

e o

f th

e d

igit 5

is

5

on

es

ten

ths

hu

nd

red

ths

thou

san

dth

s

.

3

. W

hat

is t

he v

alu

e o

f th

e u

nd

erl

ined

dig

it?

Mark

all

that

ap

ply

.

0.5

89

A 0

.8

D eig

ht

hu

nd

red

ths

B 0

.08

E

8

×

1

___

10

C eig

ht

ten

ths

4

. W

hat

is t

he v

alu

e o

f th

e u

nd

erl

ined

dig

it?

Mark

all

that

ap

ply

. 0

.28

3

A

0.8

D

8

×

1

____

10

0

B

0.0

8

E

eig

ht

hu

nd

red

ths

C

8 ×

1

___

10

SB11

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

5

. C

hoose

th

e v

alu

e t

hat

makes

the s

tate

men

t tr

ue.

In t

he n

um

ber

2.1

75

, th

e v

alu

e o

f th

e d

igit 2

is

2

on

es

ten

ths

hu

nd

red

ths

thou

san

dth

s

, an

d

the v

alu

e o

f th

e d

igit 7

is

7

on

es

ten

ths

hu

nd

red

ths

thou

san

dth

s

.

6

. W

rite

9.5

7 in

word

form

.

7

. Jo

n is

not

sure

how

to w

rite

81

.40

2 in

exp

an

ded

form

usi

ng

pow

ers

of

ten

. C

op

y an

d c

om

ple

te t

he e

xpan

ded

form

of

the n

um

ber.

( 8 ×

) +

(1

× 1

) +

( 4 ×

) + ( 2 ×

)

8

. W

rite

(2

× 1

00

) +

(9

× 1

) +

( 7 ×

1

___

10 ) +

( 8 ×

1

____

_ 1

,00

0 ) i

n

stan

dard

form

.

nin

e a

nd

fift

y-s

eve

n h

un

dre

dth

s

20

9.7

08

10

1

_____

1,0

00

1

__

10 SB12

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB11-SB12 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 7: SB1-SB2 Answer Key

Na

me

1

. C

haz

kep

t a r

ecord

of

how

man

y g

allo

ns

of

gas

he p

urc

hase

d

each

day

last

week. D

ay

Gas (

in g

allo

ns)

Monday

4.5

Tuesday

3.9

Wednesday

4.2

58

Thurs

day

3.7

5

Fri

day

4.2

56

Ord

er

the d

ays

fro

m least

am

ou

nt

of

gas

Ch

az

pu

rch

ase

d t

o

gre

ate

st a

mou

nt

of

gas

Ch

az

pu

rch

ase

d.

Th

urs

day

Tu

es

day

Fri

day

We

dn

es

day

Mo

nd

ay

2

. Th

e f

ou

r h

igh

est

score

s on

th

e f

loor

exe

rcis

e a

t a g

ymn

ast

ics

meet

were

9.6

75

, 9

.25

, 9

.32

5, an

d 9

.5 p

oin

ts. C

hoose

th

e

nu

mb

ers

th

at

make t

he s

tate

men

t tr

ue.

Th

e low

est

of

these

fou

r sc

ore

s w

as

9.6

75

9.2

5

9.3

25

9.5

poin

ts. Th

e

of

these

fou

r sc

ore

s w

as

9.6

75

9.2

5

9.3

25

9.5

poin

ts.

Prac

tice

Test

5.N

BT.3

b Un

derst

and t

he pl

ace v

alue

syste

m.

Least

Gre

ate

st

hig

hest

SB13

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

3

. Ja

smin

e k

ep

t a r

ecord

of

how

man

y m

iles

she r

an

each

week

du

rin

g o

ne m

on

th.

Week

Dis

tan

ce (

in m

iles)

Week 1

4.7

54

Week 2

4.7

52

Week 3

5.1

9

Week 4

5.7

5

Ord

er

the w

eeks

from

th

e least

am

ou

nt

of

mile

s Ja

smin

e r

an

to

the g

reate

st a

mou

nt

of

mile

s Ja

smin

e r

an

.

We

ek

2W

ee

k 1

We

ek

3W

ee

k 4

Least

Gre

ate

st

4

. Th

e f

ou

r h

igh

est

score

s at

a d

ivin

g m

eet

were

9.0

8, 9

.1,

9.1

5, an

d 9

.06

poin

ts. C

hoose

th

e n

um

bers

th

at

make

the s

tate

men

t tr

ue.

Th

e low

est

of

these

fou

r sc

ore

s w

as

9.0

8

9.1

9.1

5

9.0

6

poin

ts.

Th

e h

igh

est

of

these

fou

r sc

ore

s w

as

9.0

8

9.1

9.1

5

9.0

6

poin

ts.

5

. In

wh

ich

nu

mb

er

is t

he v

alu

e o

f th

e d

igit 5

gre

ate

r? W

rite

th

e

nu

mb

er

in t

he b

ox.

3.51

425

25

SB14

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB13-SB14 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 8: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

4

. Th

e p

rice o

f a c

ert

ain

bra

nd

of

cere

al at

the g

rocery

sto

re is

$0

.25

8 p

er

ou

nce. For

nu

mb

ers

4a–4

c, se

lect

Yes

or

No

to in

dic

ate

wh

eth

er

each

sta

tem

en

t is

corr

ect.

4a.

Rou

nd

ed

to t

he n

eare

st w

hole

Y

es

N

o

nu

mb

er, t

he p

rice is

$1

per

ou

nce.

4b

. R

ou

nd

ed

to t

he n

eare

st

Y

es

No

ten

th, th

e p

rice is

$0

.3 p

er

ou

nce.

4c.

Rou

nd

ed

to t

he n

eare

st

Y

es

No

hu

nd

red

th, th

e p

rice is

$0

.26

per

ou

nce.

5

. For

nu

mb

ers

5a–5

c, se

lect

Yes

or

No t

o in

dic

ate

wh

eth

er

each

state

men

t is

corr

ect.

5a.

1.6

82

in

ch

es

rou

nd

ed

to t

he

Y

es

N

o

neare

st w

hole

nu

mb

er

is 1

in

ch

.

5b

. 1

.68

2 in

ch

es

rou

nd

ed

to t

he

Y

es

No

neare

st t

en

th is

1.6

in

ch

es.

5c.

1.6

82

in

ch

es

rou

nd

ed

to t

he

Y

es

No

neare

st h

un

dre

dth

is

1.6

8 in

ch

es.

6

. Tru

dy

is g

oin

g t

o L

on

don

next

su

mm

er. E

ach

week, sh

e r

ecord

s

the v

alu

e o

f on

e B

ritish

pou

nd

in

U.S

. d

olla

rs. Th

e t

ab

le s

how

s

the d

ata

sh

e h

as

record

ed

so f

ar.

Week

Valu

e o

f 1 B

riti

sh

Po

un

d (

in U

.S d

oll

ars

)

11.

598

21.

616

31.

634

41.

623

For

wh

ich

tw

o w

eeks

was

the v

alu

e o

f 1

Bri

tish

pou

nd

th

e

sam

e w

hen

rou

nd

ed

to t

he n

eare

st h

un

dre

dth

of

a d

olla

r?

We

ek

s 2

an

d 4

SB16

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

5.N

BT.4

Un

derst

and t

he pl

ace v

alue

syste

m.

1

. For

nu

mb

ers

1a–1

c, se

lect

Yes

or

No t

o in

dic

ate

wh

eth

er

each

state

men

t is

corr

ect.

1a.

16

.43

7 r

ou

nd

ed

to t

he n

eare

st

Y

es

N

o

wh

ole

nu

mb

er

is 1

6.

1b

. 1

6.4

37

rou

nd

ed

to t

he n

eare

st

Y

es

N

o

ten

th is

16

.4.

1c.

16

.43

7 r

ou

nd

ed

to t

he n

eare

st

Y

es

N

o

hu

nd

red

th is

16

.43

.

2

. R

afa

el b

ou

gh

t 2

.15

pou

nd

s of

pota

to s

ala

d a

nd

4.2

pou

nd

s

of

macaro

ni sa

lad

to b

rin

g t

o a

pic

nic

. For

nu

mb

ers

2a–2

c,

sele

ct

Yes

or

No t

o in

dic

ate

wh

eth

er

each

sta

tem

en

t is

tru

e.

2a.

Rou

nd

ed

to t

he n

eare

st w

hole

Y

es

N

o

nu

mb

er, R

afa

el b

ou

gh

t 2

pou

nd

s

of

pota

to s

ala

d.

2b

. R

ou

nd

ed

to t

he n

eare

st w

hole

Y

es

N

o

nu

mb

er, R

afa

el b

ou

gh

t 4

pou

nd

s

of

macaro

ni sa

lad

.

2c.

Rou

nd

ed

to t

he n

eare

st t

en

th, R

afa

el

Y

es

N

o

bou

gh

t 2

.1 p

ou

nd

s of

pota

to s

ala

d.

3

. M

ich

elle

record

s th

e v

alu

e o

f on

e E

uro

in

U.S

. d

olla

rs e

ach

day

for

her

socia

l st

ud

ies

pro

ject. T

he t

ab

le s

how

s th

e d

ata

sh

e h

as

record

ed

so f

ar.

Day

Valu

e o

f 1 E

uro

(in

U.S

. d

ollars

)

Monday

1.448

Tuesday

1.443

Wednesday

1.452

Thurs

day

1.458

On

wh

ich

tw

o d

ays

was

the v

alu

e o

f 1

Eu

ro t

he s

am

e w

hen

rou

nd

ed

to t

he n

eare

st h

un

dre

dth

of

a d

olla

r?

Mo

nd

ay

an

d W

ed

ne

sd

ay

SB15

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB15-SB16 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 9: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

5.N

BT.5

Pe

rform

oper

ation

s with

mul

ti-di

git

whole

num

bers

and w

ith de

cimal

s to

hund

redt

hs.

1

. It

is

3,4

52

mile

s ro

un

d t

rip

to C

raig

’s a

un

t’s

hou

se. If

he

trave

ls t

o h

er

hou

se 3

tim

es

this

year, h

ow

man

y m

iles

did

he t

rave

l in

all?

mile

s

2

. Lin

dse

y earn

s $

33

per

day

at

her

part

-tim

e job

. C

om

ple

te t

he

tab

le t

o s

how

th

e t

ota

l am

ou

nt

Lin

dse

y earn

s.

Lin

dsey’s

Earn

ing

s

Nu

mb

er

of

Days

To

tal A

mo

un

t

3$

99

8$

26

4

14

$4

62

3

. Je

an

nett

e e

ats

a b

reakfa

st s

an

dw

ich

th

at

has

34

5 c

alo

ries.

If s

he e

ats

th

e s

am

e k

ind

of

san

dw

ich

eve

ry d

ay

for

12

days

,

how

man

y calo

ries

wou

ld s

he h

ave

for

bre

akfa

st?

calo

ries

4

. Th

ere

are

8 t

each

ers

goin

g t

o t

he s

cie

nce m

use

um

.

If e

ach

teacher

pays

$1

5 t

o g

et

insi

de, h

ow

mu

ch

did

the t

each

ers

pay?

$

5

. For

nu

mb

ers

5a–5

b, se

lect

Yes

or

No t

o in

dic

ate

wh

eth

er

each

eq

uation

is

corr

ect.

5a.

1,2

05

× 3

= 3

,60

5

Yes

No

5b

. 1

,36

2 ×

5 =

6,8

10

Y

es

No

10

,35

6

4,1

40

12

0

SB17

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

6

. R

ach

el earn

s $

21

per

day.

For

nu

mb

ers

6a–6

d, se

lect

Yes

or

No

to in

dic

ate

wh

eth

er

each

sta

tem

en

t is

corr

ect.

6a.

Rach

el earn

s $

42

1 f

or

Y

es

N

o

20

days

of

work

.

6b

. R

ach

el earn

s $

31

5 f

or

Yes

No

15

days

of

work

.

6c.

Rach

el earn

s $

27

3 f

or

Yes

No

13

days

of

work

.

6d

. R

ach

el earn

s $

25

0 f

or

Yes

No

13

days

of

work

.

7

. It

is

1,3

25

feet

from

Kin

sey’

s h

ou

se t

o h

er

sch

ool.

Kin

sey

walk

s

to s

ch

ool each

morn

ing

 an

d g

ets

a r

ide h

om

e e

ach

aft

ern

oon

.

How

man

y fe

et

does

Kin

sey

walk

to s

ch

ool in

5 d

ays

?

feet

8

. Lia

m s

ave

s $

12

of

his

allo

wan

ce e

ach

week. C

om

ple

te t

he t

ab

le

to s

how

th

e t

ota

l am

ou

nt

Lia

m s

ave

s.

Lia

m’s

Sa

vin

gs

Nu

mb

er

of W

eeks

To

tal A

mo

un

t

4$

48

9$

10

8

15

$18

0

9

. M

arl

en

e c

an

typ

e 1

57

word

s p

er

min

ute

. If

sh

e t

ypes

at

the

sam

e r

ate

, h

ow

man

y w

ord

s can

sh

e t

ype in

25

min

ute

s?

word

s

6,6

25

3,92

5

SB18

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB17-SB18 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 10: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

5

. W

rite

th

e lett

er

for

each

qu

ick p

ictu

re u

nd

er

the d

ivis

ion

pro

ble

m it

rep

rese

nts

.

6

. D

ivid

e 5

75

by

14

by

usi

ng

part

ial q

uotien

ts. W

hat

is t

he

qu

otien

t? E

xpla

in y

ou

r an

swer

usi

ng

nu

mb

ers

an

d w

ord

s.

A

BC

15

6 ÷

12

= 1

3

B

16

8 ÷

12

= 1

4

C

14

4 ÷

12

= 1

2

A

10

× 1

4

10

10

× 1

4

10

10

× 1

4

10

10

× 1

4

10

1

× 1

4

+

1

___

41

14

) ‾

57

5

− 1

40

4

35

− 1

40

_

2

95

− 1

40

_

15

5

− 1

40

_

15

− 1

4

_

1

41

r1

; P

os

sib

le e

xp

lan

ati

on

: I

su

btr

ac

ted

mu

ltip

les

of

14

fro

m t

he

div

ide

nd

un

til

the

nu

mb

er

left

wa

s

les

s t

ha

n 1

4. T

he

n I

ad

de

d t

he

pa

rtia

l q

uo

tie

nts

to

nd

th

e q

uo

tie

nt.

SB20

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

5.N

BT.6

Pe

rform

oper

ation

s with

mul

ti-di

git

whole

num

bers

and w

ith de

cimal

s to

hund

redt

hs.

1

. Ji

ll w

an

ts t

o f

ind

th

e q

uotien

t. U

se m

ultip

lication

an

d t

he

Dis

trib

utive

Pro

pert

y to

help

Jill

fin

d t

he q

uotien

t.

14

4 ÷

8 =

18

Mu

ltip

lication

18

× 8

= 1

44

Dis

trib

utive

Pro

pert

y (8

× 1

0)

+ (

8 ×

8)

2

. C

hoose

th

e w

ord

th

at

makes

the s

en

ten

ce t

rue.

Th

e f

irst

dig

it in

th

e q

uotien

t of

1,8

75

÷ 9

w

ill b

e in

th

e

on

es

ten

s

hu

nd

red

s

thou

san

ds

pla

ce.

3

. D

an

a is

makin

g a

seatin

g c

hart

for

an

aw

ard

s b

an

qu

et. T

here

are

18

4 p

eop

le c

om

ing

to t

he b

an

qu

et. If

8 p

eop

le c

an

be

seate

d a

t each

tab

le, h

ow

man

y ta

ble

s w

ill b

e n

eed

ed

for

the

aw

ard

s b

an

qu

et?

tab

les

4

. For

nu

mb

ers

4a–4

d, se

lect

Yes

or

No t

o in

dic

ate

wh

eth

er

the q

uotien

t is

corr

ect.

4a.

22

5 ÷

9 =

25

Y

es

N

o

4b

. 1

54

÷ 7

= 2

2

Yes

No

4c.

31

2 ÷

9 =

39

Y

es

No

4d

. 4

12

÷ 2

= 2

60

Y

es

No

23

SB19

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB19-SB20 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 11: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

5.N

BT.7

Pe

rform

oper

ation

s with

mul

ti-di

git

whole

num

bers

and w

ith de

cimal

s to

hund

redt

hs.

1

. C

layt

on

Road

is

2.2

5 m

iles

lon

g. W

ood

Pik

e R

oad

is

1.7

mile

s lo

ng

.

Kis

ha u

sed

a q

uic

k p

ictu

re t

o f

ind

th

e c

om

bin

ed

len

gth

of

Cla

yton

Road

an

d

Wood

Pik

e R

oad

. D

oes

Kis

ha’s

work

make s

en

se?

Exp

lain

wh

y or

wh

y n

ot.

Ye

s. P

os

sib

le e

xp

lan

ati

on

: S

he

re

gro

up

ed

th

e 1

0 t

en

ths

as

1 o

ne

an

d a

dd

ed

th

e 1

to

th

e w

ho

le n

um

be

rs.

2

. Th

e s

ch

ool is

3.6

5 m

iles

from

Ton

ya’s

hou

se a

nd

1.2

8 m

iles

from

Jam

al’s

hou

se. H

ow

mu

ch

fart

her

from

sch

ool is

Ton

ya’s

hou

se t

han

Jam

al’s

hou

se?

Exp

lain

how

you

can

use

a q

uic

k p

ictu

re t

o s

olv

e t

he p

rob

lem

.

2.3

7 m

ile

s;

Po

ss

ible

ex

pla

na

tio

n:

I c

an

dra

w 3

.65

us

ing

3 s

qu

are

s f

or

on

es

, 6

lin

es

fo

r te

nth

s, a

nd

5 c

ircle

s f

or

hu

nd

red

ths

. I

wo

uld

re

gro

up

1 t

en

th a

s 1

0 h

un

dre

dth

s.

Th

en

, I

wo

uld

su

btr

ac

t 8

hu

nd

red

ths

fro

m 1

5 h

un

dre

dth

s.

Th

en

, I

wo

uld

su

btr

ac

t 2

te

nth

s f

rom

5 t

en

ths

. L

as

t, I

wo

uld

su

btr

ac

t 1

fro

m 3

.

3

. A

vet

measu

red

th

e m

ass

of

two b

ird

s. T

he m

ass

of

the r

ob

in w

as

76

.64

gra

ms.

Th

e m

ass

of

the b

lue jay

was

81

.54

gra

ms.

Est

imate

the d

iffe

ren

ce in

th

e m

ass

es

of

the b

ird

s.

ab

ou

t g

ram

s

4

. K

en

an

d L

eah

are

try

ing

to s

olv

e a

scie

nce h

om

ew

ork

qu

est

ion

.

Th

ey

need

to f

ind

ou

t h

ow

mu

ch

a r

ock t

hat

weig

hs

4 p

ou

nd

s on

Eart

h

wou

ld w

eig

h o

n V

en

us.

Th

ey

kn

ow

th

ey

can

mu

ltip

ly t

he a

mou

nt

the

rock w

eig

hs

on

Eart

h b

y 0

.91

to f

ind

its

weig

ht

on

Ven

us.

Sele

ct

the

part

ial p

rod

ucts

Ken

an

d L

eah

wou

ld n

eed

to a

dd

to f

ind

th

e p

rod

uct

of

4 a

nd

0.9

1. M

ark

all

that

ap

ply

.

A 0

.95

B 0

.04

C 3

.65

D 3

.6

E 0

.3.6

5

Po

ss

ible

es

tim

ate

:

SB21

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

5

. W

rite

each

nu

mb

er

in a

box

next

to t

he e

xpre

ssio

n t

hat

has

the

sam

e v

alu

e. A

nu

mb

er

may

be u

sed

more

th

an

on

ce.

8.9

98

9.9

89

9

2

9 ×

31

=

89

9

2

9 ×

3.1

=

89

.9

0

.29

× 3

1 =

8

.99

2

.9 ×

31

=

89

.9

6

. M

elin

da, Z

ach

ary

, an

d H

eath

er

wen

t to

th

e m

all

to s

hop

for

sch

ool su

pp

lies.

Melin

da s

pen

t $

14

.25

on

her

sup

plie

s. Z

ach

ary

sp

en

t $

2.3

0 m

ore

th

an

Melin

da s

pen

t. H

eath

er

spen

t 2

tim

es

as

mu

ch

mon

ey

as

Zach

ary

sp

en

t.

How

mu

ch

did

Heath

er

spen

d o

n s

ch

ool su

pp

lies? $

7

. D

raw

a m

od

el to

sh

ow

5.5

÷ 5

.

5.5

÷ 5

=

1.1

8

. Em

ma, B

ran

dy,

an

d D

am

ian

will

cu

t a r

op

e t

hat

is 2

9.8

feet

lon

g in

to

3 ju

mp

rop

es.

Each

of

the 3

ju

mp

rop

es

will

be t

he s

am

e len

gth

. W

rite

a d

ivis

ion

sen

ten

ce u

sin

g c

om

patib

le n

um

bers

to e

stim

ate

th

e len

gth

of

each

rop

e.

Po

ss

ible

es

tim

ate

: 3

0 ÷

3 =

10

33

.10

SB22

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB21-SB22 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 12: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

5.N

F.1

Use e

quiva

lent f

racti

ons a

s a st

rate

gy

to ad

d and

subt

ract

fracti

ons.

1

. W

rite

2

_

5 a

nd

1

_

3 a

s eq

uiv

ale

nt

fraction

s u

sin

g a

com

mon

den

om

inato

r.

Po

ss

ible

an

sw

ers

:

6

__

15

an

d

5

__

15

2

. Ji

ll b

rou

gh

t 2

1

_

3 b

oxe

s of

carr

ot

mu

ffin

s fo

r a b

ake s

ale

. M

ike b

rou

gh

t

1 3

_

4 b

oxe

s of

ap

ple

mu

ffin

s. W

hat

is t

he t

ota

l n

um

ber

of

boxe

s of

mu

ffin

s Ji

ll an

d M

ike b

rou

gh

t to

th

e b

ake s

ale

? b

oxe

s of

mu

ffin

s

3

. Jo

shu

a u

ses

a r

ule

to w

rite

th

e f

ollo

win

g s

eq

uen

ce o

f n

um

bers

.

1

__

6 , 1

__

2 , 5

__

6 ,

, 1

1

__

2

W

hat

rule

did

Josh

ua u

se?

W

hat

is t

he m

issi

ng

nu

mb

er

in t

he s

eq

uen

ce?

4

. For

nu

mb

ers

4a–4

c, te

ll w

heth

er

each

exp

ress

ion

was

rew

ritt

en

usi

ng

th

e C

om

mu

tative

Pro

pert

y or

the A

ssocia

tive

Pro

pert

y. C

hoose

the c

orr

ect

pro

pert

y of

ad

ditio

n.

4

a.

1

__

6 +

( 7

__

8 +

5

__

6 ) =

1

__

6 +

( 5

__

6 +

7

__

8 )

4

b.

( 7

___

10 +

1

__

3 ) +

1

___

10 =

( 1

__

3 +

7

___

10 ) +

1

___

10

4

c.

( 6 2

__

5 +

4

__

9 ) +

3 2

__

9 =

6 2

__

5 +

( 4

__

9 +

3 2

__

9 )

Ass

ocia

tive

Pro

pert

y

Com

muta

tive

Pro

pert

y

Ass

ocia

tive

Pro

pert

y

Com

muta

tive

Pro

pert

y

Ass

ocia

tive

Pro

pert

y

Com

muta

tive

Pro

pert

y

4 1

__

12

ad

d 1

_

3

1 1

_

6

SB23

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

5

. Je

ffre

y w

alk

ed

1

_

3 m

ile o

n M

on

day

an

d jog

ged

3

_

4 m

ile o

n T

uesd

ay.

How

far

did

he w

alk

an

d jog

on

Mon

day

an

d T

uesd

ay

com

bin

ed

?

Use

th

e t

iles

to c

om

ple

te t

he f

raction

str

ip m

od

el to

sh

ow

how

you

fou

nd

you

r an

swer. T

he f

raction

s m

ay

be u

sed

more

th

an

on

ce o

r n

ot

at

all.

11 3

3 4

1 121 12

1 121 12

1 121 12

1 121 12

1 121 12

1 121 12

1 12

mile

(s)

6

. Tom

exe

rcis

ed

4

_

5 h

our

on

Mon

day

an

d 5

_

6 h

ou

r on

Tu

esd

ay.

Par

t A

Com

ple

te t

he c

alc

ula

tion

s b

elo

w t

o w

rite

eq

uiv

ale

nt

fraction

s w

ith

a c

om

mon

den

om

inato

r. P

os

sib

le a

nsw

ers

giv

en

.

4

__

5 =

4 ×

6

__________

5 ×

6

=

24

______

30

5

__

6 =

5 ×

5

__________

6 ×

5

=

25

______

30

Par

t B

How

mu

ch

tim

e d

id T

om

sp

en

d e

xerc

isin

g o

n M

on

day

an

d T

uesd

ay

com

bin

ed

? E

xpla

in h

ow

you

fou

nd

you

r an

swer.

1 1

9

__

30 h

ou

rs;

Po

ss

ible

an

sw

er:

To

fi n

d t

he

to

tal

am

ou

nt

of

tim

e s

pe

nt

exe

rcis

ing

, I

ad

de

d t

he

nu

me

rato

rs a

nd

ke

pt

the

sa

me

de

no

min

ato

r to

fi n

d 2

4

__

30 +

25

__

30 =

49

__

30 . T

he

n

I re

gro

up

ed

30

__

30 a

s 1

leavin

g 1

9

__

30 l

eft

ove

r. I w

rote

th

e a

nsw

er

as

1 1

9

__

30 .

Par

t C

How

mu

ch

lon

ger

did

Tom

sp

en

d e

xerc

isin

g o

n T

uesd

ay

than

he s

pen

t on

Mon

day?

Exp

lain

how

you

fou

nd

you

r an

swer.

1

__

30 h

ou

r; P

os

sib

le a

nsw

er:

To

fi n

d t

he

dif

fere

nc

e i

n

the

am

ou

nt

of

tim

e s

pe

nt

exe

rcis

ing

, I

su

btr

ac

ted

th

e

nu

me

rato

rs a

nd

ke

pt

the

sa

me

de

no

min

ato

r to

fi n

d

25

__

30 −

24

__

30 =

1

__

30 .

1 _ 4

1 _ 2

1 __

12

3 _ 4

1 _ 3 1

1 1

__

12

SB24

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB23-SB24 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 13: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

5.N

F.2

Use e

quiva

lent f

racti

ons a

s a st

rate

gy

to ad

d and

subt

ract

fracti

ons.

1

. Th

e s

had

ed

part

of

the d

iag

ram

sh

ow

s w

hat

Gen

ie h

as

left

fro

m

a m

ete

r of

stri

ng

. S

he w

ill u

se 3

_

5 m

ete

r of

stri

ng

to m

ake b

racele

ts.

Sh

e w

an

ts t

o d

ete

rmin

e h

ow

mu

ch

of

the s

trin

g s

he w

ill h

ave

rem

ain

ing

aft

er

makin

g t

he b

racele

ts. For

nu

mb

ers

1a–1

c,

sele

ct

Yes

or

No t

o in

dic

ate

wh

eth

er

each

sta

tem

en

t is

tru

e.

1 m

1a.

To d

ete

rmin

e h

ow

mu

ch

Y

es

N

o

stri

ng

will

be left

aft

er

makin

g

the b

racele

ts, R

eb

ecca m

ust

fin

d

9

__

10 −

3

_

5 .

1b

. Th

e f

raction

s 3

_

5 a

nd

6

__

10 a

re

Yes

No

eq

uiv

ale

nt.

1c.

Reb

ecca w

ill h

ave

1

_

5 m

ete

r of

Yes

No

stri

ng

left

.

2

. S

op

hia

bab

ysat

for

3 7

__

12 h

ou

rs o

n F

rid

ay.

Sh

e b

ab

ysat

for

2 5

_

6 h

ou

rs

on

Satu

rday.

For

nu

mb

ers

2a–2

c, est

imate

how

lon

g S

op

hia

bab

ysat

on

Fri

day

an

d S

atu

rday

com

bin

ed

. C

hoose

th

e c

orr

ect

ben

ch

mark

s

an

d s

um

.

2

a.

Sop

hia

bab

ysat

for

ab

ou

t

2 3 3 1

_

2

4

hou

rs o

n F

rid

ay.

2

b.

Sop

hia

bab

ysat

for

ab

ou

t

1 2 2 1

_

2

3

hou

rs o

n S

atu

rday.

2

c.

Sop

hia

bab

ysat

for

ab

ou

t

5 5 1

_

2

6 6 1

_

2

hou

rs o

n F

rid

ay

an

d S

atu

rday

com

bin

ed

.

SB25

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

3

. Fou

r st

ud

en

ts s

pent

tim

e v

olu

nte

eri

ng

last

weeken

d. Th

e t

ab

le

show

s h

ow

mu

ch

tim

e e

ach

stu

den

t sp

en

t vo

lun

teeri

ng

.

Vo

lun

tee

rin

g

Stu

den

tT

ime (

in h

ou

rs)

Am

y4 5

_

6

Be

th6 1

_

2

Vic

tor

5 3

_

4

Ca

l5 2

_

3

Matc

h e

ach

pair

of

stu

den

ts w

ith

th

e d

iffe

ren

ce b

etw

een

how

mu

ch

tim

e t

hey

spen

t vo

lun

teeri

ng

.

Am

y an

d V

icto

r •

• 3

_

4 h

ou

r

Cal an

d B

eth

11

__

12 h

ou

r

Beth

an

d V

icto

r •

• 5

_

6 h

ou

r

4

. R

od

rig

o p

racticed

pla

yin

g t

he g

uitar

15

1

_

3 h

ou

rs o

ver

the p

ast

3 w

eeks.

He p

racticed

for

6 1

_

4 h

ou

rs d

uri

ng

th

e f

irst

week a

nd

4 2

_

3 h

ou

rs d

uri

ng

th

e s

econ

d w

eek. H

ow

mu

ch

tim

e d

id R

od

rig

o

spen

d p

racticin

g d

uri

ng

th

e t

hir

d w

eek?

Use

th

e n

um

bers

an

d

sym

bols

to w

rite

an

eq

uation

th

at

rep

rese

nts

th

e p

rob

lem

.

Th

en

solv

e t

he e

qu

ation

. S

ymb

ols

may

be u

sed

more

th

an

on

ce

or

not

at

all.

15 1 __

3 6 1

__ 4

4 2 __

3 x

=+

P

ractice t

ime d

uri

ng t

hir

d w

eek:

hou

rs

Po

ss

ible

an

sw

er:

15 1

__

3 =

6 1

__

4 +

4 2

__

3 +

x

4 5

_

_

12 SB

26Sm

arte

r Bal

ance

d Te

st P

rep

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Prac

tice

Test

SB25-SB26 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 14: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

5

. S

teve

is

bu

yin

g a

pp

les

for

the f

ifth

gra

de. Each

bag

hold

s 1

2 a

pp

les.

If t

here

are

75

stu

den

ts t

ota

l, h

ow

man

y b

ag

s of

ap

ple

s w

ill S

teve

need

to b

uy

if h

e w

an

ts t

o g

ive o

ne a

pp

le t

o e

ach

stu

den

t?

bag

s

6

. R

uss

an

d V

ickie

are

try

ing

to s

olv

e t

his

pro

ble

m: Th

ere

are

14

6 s

tud

en

ts t

akin

g b

use

s to

th

e m

use

um

. If

each

bu

s h

old

s

24

stu

den

ts, h

ow

man

y b

use

s w

ill t

hey

need

?

R

uss

says

th

e s

tud

ents

need

6 b

use

s. V

ickie

says

th

ey

need

7 b

use

s. W

ho is

corr

ect?

Exp

lain

you

r re

aso

nin

g.

Vic

kie

is

co

rre

ct.

Th

e a

nsw

er

to t

he

pro

ble

m i

s 6

rem

ain

de

r 2

. Th

is m

ea

ns

th

at

the

re a

re 6

fu

ll b

us

es

of

stu

de

nts

an

d t

wo

ex

tra

stu

de

nts

. Th

os

e 2

stu

de

nts

mu

st

als

o t

rave

l b

y b

us

to

th

e m

us

eu

m;

so

, a

n e

xtr

a b

us

is

ne

ed

ed

, m

ak

ing

th

e t

ota

l 7

bu

se

s.

7

. S

eve

n f

rien

ds

pic

ked

7 q

uart

s of

blu

eb

err

ies.

Th

ree o

f th

e f

rien

ds

will

sh

are

4 q

uart

s of

blu

eb

err

ies

eq

ually

an

d t

he o

ther

4 f

rien

ds

will

sh

are

3 q

uart

s of

the b

lueb

err

ies

eq

ually

. In

wh

ich

gro

up

does

each

fri

en

d g

et

a g

reate

r am

ou

nt

of

blu

eb

err

ies?

Exp

lain

you

r re

aso

nin

g.

Th

e g

rou

p o

f 3

fri

en

ds

wil

l g

et

a g

rea

ter

am

ou

nt

of

blu

eb

err

ies

. P

os

sib

le e

xp

lan

ati

on

: 4

÷ 3

= 4

_

3 a

nd

3 ÷

4

= 3

_

4

4

_

3 =

1 1

_

3

1 1

_

3 >

3

_

4

8

. N

ine f

rien

ds

share

3 p

um

pkin

pie

s eq

ually

. W

hat

fraction

of

a

pu

mp

kin

pie

does

each

fri

en

d g

et?

Each

fri

en

d w

ill g

et

3

_

9 o

r 1

_

3

of

a p

um

pkin

pie

.

7

SB28

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

5.N

F.3

Appl

y and

exte

nd pr

eviou

s un

derst

andi

ngs o

f mul

tiplic

ation

and d

ivisio

n to

mul

tiply

and d

ivide

frac

tions

.

1.

Sam

uel n

eed

s 2

33

feet

of

wood

to b

uild

a f

en

ce. Th

e w

ood

com

es

in len

gth

s of

11

feet.

Par

t A

How

man

y to

tal p

ieces

of

wood

will

Sam

uel n

eed

? E

xpla

in y

ou

r an

swer.

22

pie

ce

s;

Po

ss

ible

ex

pla

na

tio

n:

I n

ee

d t

o d

ivid

e 2

33

by

11. T

he

an

sw

er

is 2

1 r

2. S

inc

e S

am

ue

l c

an

’t b

uy

a p

art

ial

pie

ce

of

wo

od

, I

ne

ed

to

ad

d 1

to

th

e q

uo

tie

nt.

So

, th

e

fi n

al

an

sw

er

is 2

2.

Par

t B

Th

ere

sa n

eed

s tw

ice a

s m

an

y fe

et

of

wood

as

Sam

uel.

How

man

y

pie

ces

of

wood

does

Th

ere

sa n

eed

? E

xpla

in y

ou

r an

swer.

43

pie

ce

s o

f w

oo

d;

Po

ss

ible

ex

pla

na

tio

n: T

wic

e t

he

len

gth

of

23

3 f

ee

t is

46

6 f

ee

t. I

f I

div

ide

46

6 b

y 1

1, th

e

an

sw

er

is 4

2 r

4. T

he

res

a n

ee

ds

to

bu

y 4

3 p

iec

es

of

wo

od

.

2

. Tw

elv

e p

ou

nd

s of

bean

s are

dis

trib

ute

d e

qu

ally

in

to 8

bag

s to

giv

e

ou

t at

the f

ood

ban

k. H

ow

man

y p

ou

nd

s of

bean

s are

in

each

bag

?

pou

nd

s

3

. Fiv

e f

rien

ds

share

3 b

ag

s of

trail

mix

eq

ually

. W

hat

fraction

of

a b

ag

of

trail

mix

does

each

fri

en

d g

et?

Ea

ch

fri

en

d w

ill

rec

eiv

e 3

_

5 o

f a

bag

of

tra

il m

ix.

4

. Z

oe h

as

5 c

ucu

mb

ers

sh

e g

rew

in

her

gard

en

. S

he w

an

ts t

o s

hare

them

eq

ually

am

on

g 4

of

her

neig

hb

ors

. H

ow

man

y cu

cu

mb

ers

will

each

neig

hb

or

receiv

e?

Use

th

e n

um

bers

on

th

e t

iles

to c

om

ple

te t

he

nu

mb

er

sen

ten

ce. Y

ou

may

use

a n

um

ber

more

th

an

on

ce o

r n

ot

at

all.

12

3

45

6

5

÷

4 =

5

__

____

__

4

=

1

1

__

____

__

4

3

_

2 o

r 1

1

_

2

SB27

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB27-SB28 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 15: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

5.N

F.4a

Ap

ply a

nd ex

tend

prev

ious

unde

rstan

ding

s of m

ultip

licat

ion an

d divi

sion

to m

ultip

ly an

d divi

de fr

actio

ns.

1

. M

rs. W

illia

ms

is o

rgan

izin

g h

er

off

ice s

up

plie

s. T

here

are

3 o

pen

boxe

s of

pap

er

clip

s in

her

desk

dra

wer. E

ach

box

has

7

_

8 o

f

the p

ap

er

clip

s re

main

ing

. H

ow

man

y b

oxe

s of

pap

er

clip

s are

left

?

Sh

ad

e t

he m

od

el an

d c

om

ple

te t

he c

alc

ula

tion

s b

elo

w t

o s

how

how

you

fou

nd

you

r an

swer.

3 ×

7

__

8 =

21

______

8

=

fu

ll b

oxe

s of

pap

er

clip

s

2

. Log

an

bou

gh

t 1

5 b

allo

on

s. F

ou

r-fift

hs

of

the b

allo

on

s are

pu

rple

.

How

man

y of

the b

allo

on

s are

pu

rple

? D

raw

a m

od

el to

sh

ow

how

you

fou

nd

you

r an

swer.

Po

ss

ible

an

sw

er:

pu

rple

ballo

on

s12

3

. Tan

iqu

a t

ook a

test

th

at

had

20

mu

ltip

le-c

hoic

e q

uest

ion

s an

d

10

Tru

e/F

als

e q

uest

ion

s. S

he g

ot

9

__

10 o

f th

e m

ultip

le-c

hoic

e

qu

est

ion

s corr

ect, a

nd

sh

e g

ot

4

_

5 o

f th

e T

rue/F

als

e q

uest

ion

s corr

ect.

3

a.

How

man

y m

ultip

le-c

hoic

e q

uest

ion

s d

id T

an

iqu

a g

et

corr

ect?

mu

ltip

le-c

hoic

e q

uest

ion

s

3

b.

How

man

y Tru

e/F

als

e q

uest

ion

s d

id T

an

iqu

a g

et

corr

ect?

T

rue/F

als

e q

uest

ion

s

2 5

_

8

18

8

SB29

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

4

. Fra

nn

ie p

ut

2

_

3 o

f h

er

mu

sic c

olle

ction

on

an

mp

3 p

laye

r. W

hile

on

vacation

, sh

e lis

ten

ed

to 3

_

5 o

f th

e m

usi

c o

n t

he p

laye

r. H

ow

mu

ch

of

Fra

nn

ie’s

mu

sic c

olle

ction

did

sh

e lis

ten

to w

hile

on

vacation

?

For

nu

mb

ers

4a–4

d, ch

oose

th

e c

orr

ect

valu

es

to d

esc

rib

e h

ow

to

solv

e t

he p

rob

lem

.

4

a.

Dra

w a

recta

ng

ula

r arr

ay

with

3 r

ow

s an

d

3 4 5

colu

mn

s.

4

b.

Sh

ad

e

1 2 3

of

the r

ow

s g

ray.

4

c.

Sh

ad

e

3 5 6

of

the g

ray

squ

are

s b

lack.

4

d.

Fra

nn

ie lis

ten

ed

to

2

__

5

3

__

5

3

___

10

of

her

mu

sic c

olle

ction

wh

ile o

n v

acation

.

5

. In

a f

ifth

gra

de c

lass

, 4

_

5 o

f th

e g

irls

have

bro

wn

hair

. O

f th

e

bro

wn

-hair

ed

gir

ls, 3

_

4 o

f th

em

have

lon

g h

air

. O

f th

e g

irls

with

lon

g b

row

n h

air

, 1

_

3 o

f th

em

have

gre

en

eye

s.

Par

t A

Wh

at

fraction

of

the g

irls

in

th

e c

lass

have

lon

g b

row

n h

air

?

of

the g

irls

Par

t B

Wh

at

fraction

of

the g

irls

in

th

e c

lass

have

lon

g b

row

n h

air

an

d

gre

en

eye

s?

of

the g

irls

1

_

5

3

_

5

SB30

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB29-SB30 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 16: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

5

. P

eg

gy

is m

akin

g a

qu

ilt u

sin

g p

an

els

th

at

are

1

_

2 f

oot

by

1

_

2 f

oot.

Th

e q

uilt

is

5 1

_

2 f

eet

lon

g a

nd

4 f

eet

wid

e.

Par

t A

Let

each

sq

uare

of

the g

rid

belo

w r

ep

rese

nt

1

_

2 f

oot

by

1

_

2 f

oot.

Dra

w a

recta

ng

le o

n t

he g

rid

to r

ep

rese

nt

the q

uilt

.

Po

ss

ible

an

sw

er:

Par

t B

Wh

at

is t

he a

rea o

f th

e q

uilt

? E

xpla

in h

ow

you

fou

nd

you

r an

swer.

sq

uare

feet

Po

ss

ible

ex

pla

na

tio

n: T

he

re a

re 8

ro

ws

an

d 1

1

co

lum

ns

of

sq

ua

res

, fo

r a

to

tal

of

8 ×

11

= 8

8 s

qu

are

s.

Ea

ch

sq

ua

re r

ep

res

en

ts a

n a

rea

of

1

_

2 ×

1

_

2 =

1

_

4 s

qu

are

foo

t. S

o, th

e a

rea o

f th

e q

uilt

is 8

8 ×

1

_

4 =

22

sq

ua

re f

ee

t.

6

. A

n a

rea r

ug

has

an

are

a o

f 4

8 s

qu

are

feet. T

wo s

imila

r ru

gs

have

are

as

of

10

8 s

qu

are

feet

an

d 1

92

sq

uare

feet. In

each

ru

g,

the len

gth

is

1 1

_

3 t

imes

the w

idth

. W

hic

h o

f th

e f

ollo

win

g c

ou

ld

be t

he d

imen

sion

s of

on

e o

f th

e a

rea r

ug

s? M

ark

all

that

ap

ply

.

A

6 f

eet

by

8 f

eet

B

10

feet

by

18

feet

C

9 f

eet

by

12

feet

D

12

feet

by

16

feet

E

4 f

eet

by

12

feet

22

SB32

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

7 8yd

3

1 4yd

5

Na

me

1

. C

ale

b’s

fam

ily r

oom

has

the d

imen

sion

s

show

n. H

e n

eed

s to

fin

d t

he a

rea o

f th

e

room

so t

hat

he k

now

s h

ow

mu

ch

carp

et

to b

uy.

Com

ple

te t

he a

rea m

od

el b

elo

w t

o

fin

d t

he a

rea o

f th

e f

am

ily r

oom

.

1 4

45

53

3

1

1

5

35

33

3 3

5 5

15

5

1 43 4

7 87 8

1 47 32

7 83 8

are

a o

f th

e r

oom

=

sq

uare

yard

s

2

. Lou

is w

an

ts t

o c

arp

et

the r

ecta

ng

ula

r floor

of

his

base

men

t.

Th

e b

ase

men

t h

as

an

are

a o

f 8

64

sq

uare

feet. T

he w

idth

of

the b

ase

men

t is

2

_

3 i

ts len

gth

. W

hat

is t

he len

gth

of

Lou

is’s

base

men

t?

feet

3

. A

post

card

has

an

are

a o

f 2

4 s

qu

are

in

ch

es.

Tw

o e

nla

rgem

en

ts

of

the p

ost

card

have

are

as

of

54

sq

uare

in

ch

es

an

d 9

6 s

qu

are

inch

es.

In

each

post

card

, th

e len

gth

is

1 1

_

2 t

imes

the w

idth

.

Wh

ich

of

the f

ollo

win

g c

ou

ld b

e t

he d

imen

sion

s of

the p

ost

card

or

on

e o

f th

e e

nla

rgem

en

ts?

Mark

all

that

ap

ply

.

A

6 in

ch

es

by

9 in

ch

es

D

6 in

ch

es

by

12

in

ch

es

B

10

in

ches

by

15

in

ch

es

E

4 in

ch

es

by

6 in

ch

es

C

8 in

ch

es

by

12

in

ch

es

4

. Th

e G

ilbert

s are

desi

gn

ing

a r

ecta

ng

ula

r p

atio. Th

e p

atio h

as

an

are

a o

f 4

32

sq

uare

feet. T

he w

idth

of

the p

atio is

3

_

4 i

ts len

gth

.

Wh

at

is t

he len

gth

of

the p

atio?

feetPr

actic

e Te

st5.

NF.

4b

Appl

y and

exte

nd pr

eviou

s un

derst

andi

ngs o

f mul

tiplic

ation

and d

ivisio

n to

mul

tiply

and d

ivide

frac

tions

.

20

11

__

32

36

24

SB31

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB31-SB32 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 17: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

5.N

F.5a

Ap

ply a

nd ex

tend

prev

ious

unde

rstan

ding

s of m

ultip

licat

ion an

d divi

sion

to m

ultip

ly an

d divi

de fr

actio

ns.

1

.D

ian

a w

ork

ed

on

her

scie

nce p

roje

ct

for

5 1

_

3 h

ou

rs. G

ab

e w

ork

ed

on

his

scie

nce p

roje

ct

1 1

_

4 t

imes

as

lon

g a

s D

ian

a. P

aula

work

ed

on

her

scie

nce p

roje

ct

3

_

4 t

imes

as

lon

g a

s D

ian

a. For

nu

mb

ers

1a–1

d,

sele

ct

Yes

or

No t

o in

dic

ate

wh

eth

er

each

sta

tem

en

t is

corr

ect.

1a.

Dia

na w

ork

ed

lon

ger

on

her

scie

nce p

roje

ct

than

Gab

e

work

ed

on

his

scie

nce p

roje

ct.

Y

es

N

o

1b

. P

au

la w

ork

ed

less

on

her

scie

nce p

roje

ct

than

Dia

na

work

ed

on

her

scie

nce p

roje

ct.

Y

es

N

o

1c.

Gab

e w

ork

ed

lon

ger

on

his

scie

nce p

roje

ct

than

Pau

la

work

ed

on

her

scie

nce p

roje

ct.

Y

es

N

o

1d

. G

ab

e w

ork

ed

lon

ger

on

his

scie

nce p

roje

ct

than

Dia

na a

nd

Pau

la c

om

bin

ed

. Y

es

N

o

2

. W

rite

each

mu

ltip

lication

exp

ress

ion

in

th

e c

orr

ect

box.

4

__

5 ×

1 1

__

8

1

__

3 ×

4

__

5

3

× 4

__

5

4

__

5 ×

4

__

5

8

__

8 ×

4

__

5

4

__

5 ×

2

__

2

Pro

du

ct

is e

qu

al to

4

_

5 .

8

_

8 ×

4

_

5 , 4

_

5 ×

2

_

2

Pro

du

ct

is g

reate

r th

an

4

_

5 .

4

_

5 ×

1 1

_

8 , 3

× 4

_

5

Pro

du

ct

is less

th

an

4

_

5 .

1

_

3 ×

4

_

5 , 4

_

5 ×

4

_

5

3

. D

ore

en

liv

es

3

_

4 m

ile f

rom

th

e lib

rary

. S

heila

liv

es

1

_

3 a

s fa

r

aw

ay

from

th

e lib

rary

as

Dore

en

. For

nu

mb

ers

3a–3

c,

ch

oose

Yes

or

No t

o a

nsw

er

each

qu

est

ion

.

3a.

Does

Dore

en

liv

e f

art

her

from

the lib

rary

th

an

Sh

eila

?

Y

es

N

o

3b

. D

oes

Sh

eila

liv

e 1

_

4 m

ile f

rom

the lib

rary

?

Y

es

N

o

3c.

Does

Sh

eila

liv

e t

wic

e a

s fa

r fr

om

the lib

rary

th

an

Dore

en

?

Y

es

N

o

SB33

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

4

. W

rite

each

mu

ltip

lication

exp

ress

ion

in

th

e c

orr

ect

box.

5

__

6 ×

2

__

3

2

× 5

__

6

5

__

6 ×

4

__

4

5

__

6 ×

7

__

3

1

0

___

10 ×

5

__

6

5

__

6 ×

5

__

6

Pro

du

ct

is e

qu

al to

5

_

6 .

5

_

6 ×

4

_

4 , 10

__

10 ×

5

_

6

Pro

du

ct

is g

reate

r th

an

5

_

6 .

2 ×

5

_

6 , 5

_

6 ×

7

_

3

Pro

du

ct

is less

th

an

5

_

6 .

5

_

6 ×

2

_

3 , 5

_

6 ×

5

_

6

5

. S

tuart

rod

e h

is b

icyc

le 6

3

_

5 m

iles

on

Fri

day.

On

Satu

rday

he r

od

e 1

1

_

3 t

imes

as

far

as

he r

od

e o

n F

rid

ay.

On

Su

nd

ay

he r

od

e 5

_

6 t

imes

as

far

as

he r

od

e o

n F

rid

ay.

For

nu

mb

ers

5a–5

d, se

lect

Yes

or

No t

o in

dic

ate

wh

eth

er

each

state

men

t is

corr

ect.

5a.

Stu

art

rod

e m

ore

mile

s on

Satu

rday

than

he r

od

e o

n F

rid

ay.

Y

es

N

o

5b

. S

tuart

rod

e m

ore

mile

s on

Fri

day

than

he r

od

e o

n S

atu

rday

an

d

Su

nd

ay

com

bin

ed

. Y

es

N

o

5c.

Stu

art

rod

e f

ew

er

mile

s on

Su

nd

ay

than

he r

od

e o

n F

rid

ay.

Y

es

N

o

5d

. S

tuart

rod

e m

ore

mile

s on

Su

nd

ay

than

he r

od

e o

n S

atu

rday.

Y

es

N

o

6

. W

rite

each

mu

ltip

lication

exp

ress

ion

in

th

e c

orr

ect

box.

2

__

3 ×

2

__

3

5

__

6 ×

2

__

3

4 1

__

8 ×

2

__

3

4

__

4 ×

2

__

3

2

__

3 ×

2

2

__

3 ×

5

__

5 Pro

du

ct

is less

th

an

2

__

3 .

2

_

3 ×

2

_

3 , 5

_

6 ×

2

_

3

Pro

du

ct

is e

qu

al to

2

__

3 .

4

_

4 ×

2

_

3 , 2

_

3 ×

5

_

5

Pro

du

ct

is g

reate

r th

an

2

__

3 .

4 1

_

8 ×

2

_

3 , 2

_

3 ×

2

SB34

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB33-SB34 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 18: SB1-SB2 Answer Key

Na

me

1

. A

scie

ntist

had

3

_

5 l

iter

of

solu

tion

. H

e u

sed

1

_

6 o

f th

e s

olu

tion

for

an

exp

eri

men

t. H

ow

mu

ch

solu

tion

did

th

e s

cie

ntist

use

for

the e

xperi

men

t? U

se t

he n

um

bers

on

th

e t

iles

to c

om

ple

te

the c

alc

ula

tion

s. Y

ou

may

use

nu

mb

ers

more

th

an

on

ce o

r n

ot

at

all.

3

__

5 ×

1

__

6 =

3 ×

1

_________

5 ×

6

=

3

______

30

=

1

______

10

liter

2

. For

nu

mb

ers

2a–2

d, w

ith

ou

t m

ultip

lyin

g, u

se t

he s

ymb

ols

from

th

e lis

t on

th

e r

igh

t to

in

dic

ate

th

e p

rod

uct

will

com

pare

with

th

e f

acto

r. S

ymb

ols

can

be u

sed

more

th

an

on

ce.

<>

=

2a.

13

___ 4

× 5

__

8 =

x

x <

13

___

4

x >

5

__

8

2b

. 4

__

3 ×

6 =

x

x >

4

__

3

x >

6

2c.

2

__

5 ×

1

__

7 =

x

x <

2

__

5

x <

1

__

7

2d

. 5

__

8 ×

7

__

7

= x

x

= 5

__

8

x <

7

__

7

3

. 4

__

5 ×

3

__

8

<

>

=

4

__

5

4

. 8

__

6 ×

2

__

3

<

>

=

2

__

3

Prac

tice

Test

5.N

F.5b

Ap

ply a

nd ex

tend

prev

ious

unde

rstan

ding

s of m

ultip

licat

ion an

d divi

sion

to m

ultip

ly an

d divi

de fr

actio

ns.

1

2

3

4

6

10

2

0

30

1

__

10

SB35

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

5

. W

ith

ou

t m

ultip

lyin

g, cla

ssify

each

pro

du

ct

as

bein

g less

th

an

2

_

3 , eq

ual to

2

_

3 , or

gre

ate

r th

an

2

_

3 . W

rite

th

e lett

er

of

each

exp

ress

ion

un

der

the c

orr

ect

cate

gory

.

A 2

__

3 ×

1

__

5

B

2

__

3 ×

8

__

5

C

2

__

3 ×

9

__

9

D

2

__

3 ×

6

__

1

E

2

__

3 ×

8

__

9

F

2

__

3 ×

2

A, E

CB

, D

, F

Less

Th

an

2

__

3

Eq

ual to

2

__

3

Gre

ate

r Th

an

2

__

3

6

. For

nu

mb

ers

6a–6

d, w

ith

ou

t m

ultip

lyin

g, u

se t

he s

ymb

ols

from

th

e lis

t on

th

e r

igh

t to

in

dic

ate

how

th

e p

rod

uct

will

com

pare

with

th

e f

acto

r. S

ymb

ols

can

be u

sed

more

th

an

on

ce.

6a.

3

__

4 ×

15

___

7 =

x

x >

3

__

4

x <

15

___

7

6b

. 7

× 6

__

5 =

x

x >

7

x >

6

__

5

6c.

8

__

9 ×

1

__

5 =

x

x <

8

__

9

x <

1

__

5

6d

. 8

__

8 ×

7

___

10 =

x

x <

8

__

8

x =

7

___

10

7

. 6

__

_ 1

3 ×

3

__

4

<

>

=

3

__

4

8

. 4

__

7 ×

5

__

3

<

>

=

4

__

7

9

. 5

__

9 ×

3

__

3

<

>

=

5

__

9

<

>

=

SB36

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB35-SB36 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 19: SB1-SB2 Answer Key

Na

me

1

. K

ayl

a w

alk

s 3

2

_

5 m

iles

each

day.

Wh

ich

of

the f

ollo

win

g s

tate

men

ts

corr

ectly

desc

rib

e h

ow

far

she w

alk

s? M

ark

all

that

ap

ply

.

A

Kayl

a w

alk

s 1

4 2

__

5 m

iles

in 4

days

.

B

Kayl

a w

alk

s 2

3 4

__

5 m

iles

in 7

days

.

C

Kayl

a w

alk

s 3

4 m

iles

in 1

0 d

ays

.

D

Kayl

a w

alk

s 1

02

2

__

5 m

iles

in 3

1 d

ays

.

2

. Th

e t

ab

le s

how

s h

ow

man

y h

ou

rs s

om

e o

f th

e p

art

-tim

e

em

plo

yees

at

the t

oy

store

work

ed

last

week.

Nam

eH

ou

rs W

ork

ed

Conra

d6 2

_

3

Gio

vanni

9 1

_

2

Sally

10 3

_

4

Th

is w

eek, C

on

rad

will

work

1 3

_

4 t

imes

lon

ger

than

last

week.

Gio

van

ni w

ill w

ork

1 1

_

3 t

imes

lon

ger

than

last

week. S

ally

will

work

2

_

3 t

he n

um

ber

of

hou

rs s

he w

ork

ed

last

week. M

atc

h

each

em

plo

yee’s

nam

e t

o t

he n

um

ber

of

hou

rs h

e o

r sh

e

will

work

th

is w

eek.

Empl

oyee

H

ours

Thi

s W

eek

Con

rad

7 1

__

6

Gio

van

ni

12

2

__

3

Sally

11

2

__

3

3

. For

nu

mb

ers

3a–3

d, se

lect

Yes

or

No t

o in

dic

ate

wh

eth

er

each

eq

uation

is

tru

e.

3a.

3

__

5 ×

2

__

7 =

21

___

10

Y

es

N

o

3b

. 2

__

9 ×

5

__

3 =

10

___

27

Y

es

N

o

3c.

7

__

8 ×

5

__

9 =

35

___

72

Y

es

N

o

3d

. 1

__

2 ×

3

__

5 =

4

___

10

Y

es

N

o

Prac

tice

Test

5.N

F.6

Appl

y and

exte

nd pr

eviou

s un

derst

andi

ngs o

f mul

tiplic

ation

and d

ivisio

n to

mul

tiply

and d

ivide

frac

tions

.

SB37

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

4

. Je

ssic

a r

ides

the b

us

8 4

_

5 m

iles

each

day.

Wh

ich

state

men

ts c

orr

ectly

desc

rib

e h

ow

far

she r

ides

the

bu

s? M

ark

all

that

ap

ply

.

A Je

ssic

a r

ides

the b

us

35

1

_

5 m

iles

in 4

days

.

B Je

ssic

a r

ides

the b

us

61

4

_

5 m

iles

in 7

days

.

C Je

ssic

a r

ides

the b

us

88

mile

s in

10

days

.

D Je

ssic

a r

ides

the b

us

21

8 2

_

5 m

iles

in 2

5 d

ays

.

5

. Th

e t

ab

le s

how

s h

ow

man

y b

ag

s of

can

ned

good

s each

cla

ss c

olle

cte

d d

uri

ng

th

e f

irst

week o

f a f

ood

dri

ve.

Cla

ss

Bag

s o

f C

an

ned

Go

od

s

4th G

rad

ers

3 1

_

2

5th G

rad

ers

2 3

_

4

6th G

rad

ers

3 1

_

4

Next

week t

he 4

th g

rad

ers

hop

e t

o c

olle

ct

1 1

_

3 t

imes

as 

man

y

bag

s of

can

ned

good

s as

the f

irst

week. Th

e 5

th g

rad

ers

’ g

oal

is t

o c

olle

ct

1 3

_

4 t

imes

as

man

y b

ag

s of 

can

ned

good

s as

they

colle

cte

d in

week 1

. Th

e 6

th g

rad

ers

hop

e t

o c

olle

ct

1 1

_

2 t

imes

as

man

y b

ag

s of 

can

ned

good

s. M

atc

h e

ach

cla

ss t

o t

he n

um

ber

of

bag

s of

can

ned

good

s th

ey

hop

e t

o c

olle

ct

next

week.

Cla

ss

Next W

eek’s

Go

al

(bag

s)

4th G

rad

ers

4 13

__

16

5th G

rad

ers

4 7

_

8

6th G

rad

ers

4 2

_

3

• • •

• • • SB38

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB37-SB38 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 20: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

5

. A

dan

has

1

_

2 q

uart

of

milk

. If

he p

ou

rs t

he s

am

e a

mou

nt

of

milk

in

to

3 g

lass

es,

each

gla

ss w

ill c

on

tain

1

_

6

qu

art

of

milk

.

6

. B

ren

dan

mad

e a

loaf

of

bre

ad

. H

e g

ave

eq

ual p

ort

ion

s

of

1

_

2 o

f th

e loaf

of

bre

ad

to 6

fri

en

ds.

Wh

ich

dia

gra

m

cou

ld B

ren

don

use

to f

ind

th

e f

raction

of

the loaf

of

bre

ad

th

at

each

fri

en

d r

eceiv

ed

? M

ark

all

that

ap

ply

.

A

B

C

D

7

. Lan

don

an

d C

olin

bou

gh

t 1

_

2 p

ou

nd

of

stra

wb

err

ies.

Th

ey

are

shari

ng

th

e s

traw

berr

ies

eq

ually

. Each

pers

on

will

receiv

e

1

_

4

pou

nd

of

stra

wb

err

ies.

SB40

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

1

. A

bu

ilder

has

an

8-a

cre

plo

t d

ivid

ed

in

to 1

_

4 -a

cre

hom

e s

ites.

How

man

y 1

_

4 -a

cre

hom

e s

ites

are

th

ere

?

Th

ere

are

3

2 h

om

e s

ites.

2

.For

nu

mb

ers

2a–2

e, se

lect

Yes

or

No t

o in

dic

ate

wh

eth

er

each

eq

uation

is

corr

ect.

2a.

3 ÷

1

__

4 =

1

___

12

Y

es

N

o

2b

. 7

÷ 1

__

2 =

14

Y

es

N

o

2c.

1

__

5 ÷

4 =

20

Y

es

N

o

2d

. 1

__

2 ÷

5 =

1

___

10

Y

es

N

o

2e.

1

__

7 ÷

3 =

21

Y

es

N

o

3

. C

hoose

th

e n

um

bers

to c

reate

a s

tory

pro

ble

m t

hat

rep

rese

nts

4 ÷

1

_

6 .

B

ill b

ou

gh

t

4 1

__

6

4

__

6

pou

nd

(s)

of

ch

eese

.

H

e m

ad

e g

rille

d c

heese

san

dw

ich

es

an

d u

sed

4 1

__

6

4

__

6

pou

nd

(s)

of

ch

eese

in

each

san

dw

ich

.

B

ill m

ad

e 2

4 s

an

dw

ich

es.

4

. D

ivid

e. D

raw

a n

um

ber

line t

o s

how

you

r w

ork

.

2 ÷

1

__

3 =

6

12

0

Prac

tice

Test

5.N

F.7a

Ap

ply a

nd ex

tend

prev

ious

unde

rstan

ding

s of m

ultip

licat

ion an

d divi

sion

to m

ultip

ly an

d divi

de fr

actio

ns.

SB39

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB39-SB40 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 21: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

5.N

F.7b

Ap

ply a

nd ex

tend

prev

ious

unde

rstan

ding

s of m

ultip

licat

ion an

d divi

sion

to m

ultip

ly an

d divi

de fr

actio

ns.

1

. G

ab

riel m

ade 4

sm

all

meatloave

s. H

e c

ut

each

meatloaf

into

fou

rth

s. H

ow

man

y 1

_

4 -s

ize p

ieces

of

meatloaf

does

Gab

riel h

ave

? D

raw

lin

es

in t

he m

od

el to

fin

d t

he a

nsw

er.

Gab

riel h

as

16

1

_

4 -s

ize p

ieces

of

meatloaf.

2

. C

am

illa h

as

a 1

_

2 p

ou

nd

of

rais

ins

that

she w

ill d

ivid

e e

ven

ly

into

5 b

ag

s. S

had

e t

he d

iag

ram

to s

how

th

e f

raction

al p

art

of

a p

ou

nd

th

at

will

be in

each

bag

.

3

. A

6-m

ile w

alk

ing

tra

il h

as

a d

ista

nce m

ark

er

eve

ry 1

_

3 m

ile.

How

man

y m

ark

ers

are

alo

ng

th

e t

rail?

Th

ere

are

m

ark

ers

alo

ng

th

e t

rail.

4

. Eri

c h

as

4 p

ieces

of

cla

y. H

e c

ut

each

pie

ce o

f cla

y in

to t

hir

ds.

How

man

y 1

_

3 -s

ize p

ieces

of

cla

y d

oes

Eri

c h

ave

? D

raw

lin

es

in

the m

od

el to

fin

d t

he a

nsw

er.

Eri

c h

as

1

_

3 -s

ize p

ieces

of

cla

y.

5

. C

ecila

has

1

_

3 p

ou

nd

of

trail

mix

th

at

she w

ill d

ivid

e e

qu

ally

in

to

3 b

ag

s. S

had

e t

he d

iag

ram

to s

how

th

e f

raction

al p

art

of

a

pou

nd

th

at

will

be in

each

bag

.

18

12

SB41

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

6

. A

dri

an

mad

e 3

gra

nola

bars

. H

e c

ut

each

bar

into

fou

rth

s. H

ow

man

y 1

_

4 -s

ize p

ieces

of

gra

nola

bar

does

Ad

rian

have

? D

raw

lines

in t

he m

od

el to

fin

d t

he a

nsw

er.

Ad

rian

has

on

e-q

uart

er-

size

pie

ces

of

gra

nola

bar.

7

. K

yle m

ad

e a

loaf

of

ban

an

a b

read

. H

e g

ave

eq

ual p

ort

ion

s

of

1

_

2 o

f th

e loaf

to 4

fri

en

ds.

Wh

ich

dia

gra

m c

ou

ld K

yle u

se t

o

fin

d t

he f

raction

of

the loaf

that

each

fri

en

d r

eceiv

ed

? M

ark

all

that

ap

ply

.

A

B

C

D

8

. B

en

is

makin

g b

read

th

at

calls

for

5 c

up

s of

flou

r. H

is

measu

rin

g c

up

on

ly h

old

s 1

_

2 c

up

. H

ow

man

y tim

es

will

Ben

need

to f

ill t

he m

easu

rin

g c

up

to g

et

the 5

cu

ps

of

flou

r?

B

en

wil

l n

ee

d t

o fi

ll t

he

me

as

uri

ng

cu

p 1

0 t

ime

s.

9

. Tin

a h

as

1

_

2 q

uart

of

iced

tea. S

he p

ou

rs t

he s

am

e a

mou

nt

into

each

of

3 g

lass

es.

Wh

ich

eq

uation

rep

rese

nts

th

e f

raction

of

a

qu

art

of

iced

tea t

hat

is in

each

gla

ss?

Mark

all

that

ap

ply

.

A 1

__

2

÷ 1

__

3

= n

C

2

÷ 1

__

3

= n

E

2

× 1

__

3

= n

B 2

÷ 3

= n

D

1

__

2

× 1

__

3

= n

F

1

__

2 ÷

3 =

n

12

SB42

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB41-SB42 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 22: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

4

. M

rs. G

reen

wro

te t

he f

ollo

win

g p

rob

lem

on

th

e w

hiteb

oard

:

Lis

a a

nd

Fra

nk s

hare

d 1

_

3 p

ou

nd

of

ch

err

ies

eq

ually

. W

hat

fraction

al p

art

of

a p

ou

nd

did

each p

ers

on

receiv

e?

Par

t A

Molly

wro

te t

he f

ollo

win

g e

qu

ation

to s

olv

e t

he p

rob

lem

: 2

÷ 1

_

3 =

n.

Do y

ou

ag

ree w

ith

Molly

’s e

qu

ation

? S

up

port

you

r an

swer

with

info

rmation

fro

m t

he p

rob

lem

.

No

, I

dis

ag

ree

. P

os

sib

le a

nsw

er:

Lis

a a

nd

Fra

nk

are

sh

ari

ng

1

_

3 p

ou

nd

of

ch

err

ies

, I

ne

ed

to

div

ide

1

_

3 b

y 2

, s

o

the

co

rre

ct

eq

ua

tio

n i

s 1

_

3 ÷

2 =

n.

Par

t B

Noah

dre

w t

his

dia

gra

m t

o s

olv

e t

he p

rob

lem

.

Can

Noah

use

his

dia

gra

m t

o f

ind

th

e f

raction

al

part

of

a p

ou

nd

of

ch

err

ies

that

each

pers

on

receiv

ed

?

Su

pp

ort

you

r an

swer

with

in

form

ation

fro

m t

he

pro

ble

m.

Ye

s. P

os

sib

le a

nsw

er:

No

ah

div

ide

d t

he

cir

cle

in

to 3

eq

ua

l p

art

s t

o r

ep

res

en

t th

ird

s. T

he

n, h

e d

ivid

ed

ea

ch

thir

d i

n h

alf

. H

e s

ha

de

d h

alf

of

1

_

3 o

f th

e c

ircle

. S

o, th

e

dia

gra

m r

ep

res

en

ts 1

_

3 ÷

2 =

1

_

3 ×

1

_

2 =

1

_

6 .

Sin

ce

1

_

6 o

f th

e

cir

cle

is

sh

ad

ed

, L

isa

an

d F

ran

k w

ill

ea

ch

ge

t 1

_

6 p

ou

nd

of

ch

err

ies

.

5

. K

ayl

eig

h h

as

1

_

4 -c

up

of

oil.

Sh

e p

ou

rs t

he s

am

e a

mou

nt

into

each

of

2 o

il la

mp

s. W

hic

h e

qu

ation

rep

rese

nts

th

e f

raction

of

a c

up

of

oil

that

is in

each

oil

lam

p?

Mark

all

that

ap

ply

.

A 1

__

2 ÷

1

__

4 =

n

B 1

__

4 ×

1

__

2 =

n

C 2

÷ 1

__

4 =

n

D 4

÷ 2

= n

E 1

__

4 ÷

2 =

n

F 2

× 1

__

4 =

n

SB44

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

5.N

F.7c

Ap

ply a

nd ex

tend

prev

ious

unde

rstan

ding

s of m

ultip

licat

ion an

d divi

sion

to m

ultip

ly an

d divi

de fr

actio

ns.

1

. M

au

reen

has

1

_

4 p

ou

nd

of

rais

ins.

Sh

e d

ivid

es

the r

ais

ins

into

4 s

erv

ing

s. E

ach

serv

ing

con

tain

s 1

__

16

pou

nd

of

rais

ins.

2

. A

gia

nt

tort

ois

e c

an

walk

ab

ou

t 1

__

10 m

ete

r p

er

secon

d o

n lan

d.

A c

oote

r tu

rtle

can

walk

ab

ou

t 1

_

2 m

ete

r p

er

secon

d o

n lan

d.

Par

t A

How

lon

g w

ou

ld it

take a

gia

nt

tort

ois

e t

o t

rave

l 5

mete

rs?

Sh

ow

you

r w

ork

.

5 ÷

1

__

10 =

5 ×

10

= 5

0

It w

ou

ld t

ake

th

e g

ian

t to

rto

ise

50

se

co

nd

s t

o t

rave

l

5 m

ete

rs.

Par

t B

How

mu

ch

lon

ger

wou

ld it

take a

gia

nt

tort

ois

e t

han

a c

oote

r tu

rtle

to t

rave

l 1

0 m

ete

rs o

n lan

d?

Exp

lain

how

you

fou

nd

you

r an

swer.

80

se

co

nd

s l

on

ge

r; P

os

sib

le e

xp

lan

ati

on

: F

irs

t, I

fo

un

d t

he

tim

e i

t w

ou

ld t

ake

th

e g

ian

t to

rto

ise

to

tra

ve

l 10

me

ters

:

10

÷

1

__

10 =

10

× 1

0 =

10

0, o

r 10

0 s

ec

on

ds

. Th

en

, I

fou

nd

the

tim

e i

t w

ou

ld t

ake

th

e c

oo

ter

turt

le t

o t

rave

l 10

me

ters

:

10

÷ 1

_

2 =

10

× 2

= 2

0, o

r 2

0 s

ec

on

ds

. Th

en

I s

ub

tra

cte

d

10

0 −

20

= 8

0.

3

. D

ora

bu

ys o

ne p

ackag

e e

ach

of

1-p

ou

nd

, 2

-pou

nd

, an

d 4

-pou

nd

packag

es

of

gro

un

d b

eef

to m

ake h

am

bu

rgers

.

How

man

y 1

_

4 -p

ou

nd

ham

bu

rgers

can

sh

e m

ake?

Sh

ow

you

r w

ork

usi

ng

word

s, p

ictu

res,

or

nu

mb

ers

.

Ch

eck

stu

de

nts

’ w

ork

. 2

8 h

am

bu

rge

rs;

Po

ss

ible

ex

pla

na

tio

n:

I fo

un

d t

he

to

tal

nu

mb

er

of

po

un

ds

of

gro

un

d b

ee

f D

ora

bo

ug

ht:

1 +

2 +

4 =

7. T

he

n, I

wro

te a

re

late

d m

ult

ipli

ca

tio

n

ex

pre

ss

ion

to

fi n

d 7

÷ 1

_

4 .

7 ÷

1

_

4 =

7 ×

4 =

28

.

SB43

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB43-SB44 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 23: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

5.M

D.1

Co

nver

t like

mea

sure

men

t uni

ts wi

thin

a gi

ven m

easu

rem

ent s

yste

m.

1

. Th

e lib

rary

is

5 m

iles

from

th

e p

ost

off

ice. H

ow

man

y ya

rds

is t

he lib

rary

fro

m t

he p

ost

off

ice?

yard

s

2

. B

illy

mad

e 3

gallo

ns

of

juic

e f

or

a p

icn

ic. H

e s

aid

th

at

he m

ad

e

3

_

4 q

uart

of

juic

e. Exp

lain

Bill

y’s

mis

take.

Po

ss

ible

ex

pla

na

tio

n:

Bil

ly d

ivid

ed

th

e n

um

be

r o

f g

all

on

s b

y

4 t

o c

on

ve

rt t

o q

ua

rts

. H

e s

ho

uld

have

mu

ltip

lie

d t

he

nu

mb

er

of

ga

llo

ns

by

4 t

o fi

nd

th

e n

um

be

r o

f q

ua

rts

in

3 g

all

on

s.

3 ×

4 =

12

qu

art

s

3

. Th

e D

ram

a C

lub

is

show

ing

a v

ideo o

f th

eir

recen

t p

lay.

Th

e f

irst

show

ing

beg

ins

at

2:3

0 P

.M. Th

e s

econ

d s

how

ing

is

sch

ed

ule

d a

t

5:2

5 P

.M. w

ith

a 1

_

2 -h

ou

r b

reak b

etw

een

th

e s

how

ing

s.

Par

t A

How

lon

g is

the v

ideo in

hou

rs a

nd

min

ute

s?

hou

rs a

nd

m

inu

tes

Par

t B

Exp

lain

how

you

can

use

a n

um

ber

line t

o f

ind

th

e a

nsw

er.

Po

ss

ible

ex

pla

na

tio

n:

I c

an

wo

rk b

ack

wa

rd f

rom

th

e s

tart

tim

e o

f th

e s

ec

on

d s

ho

win

g a

t 5

:25

. I

co

un

t b

ack

1

_

2 h

ou

r,

wh

ich

is

30

min

ute

s, fo

r th

e b

rea

k b

etw

ee

n s

ho

win

gs

to

4:5

5.

Th

en

I c

an

fi n

d t

he

ela

ps

ed

tim

e b

etw

ee

n 2

:30

an

d 4

:55

.

Par

t C

Th

e s

econ

d s

how

ing

sta

rted

20

min

ute

s la

te. W

ill t

he s

econ

d

show

ing

be o

ver

by

7:4

5 P.M

.? E

xpla

in w

hy

you

r an

swer

is r

easo

nab

le.

No

. P

os

sib

le e

xp

lan

ati

on

: Th

e s

ec

on

d s

ho

win

g s

tart

ed

at

5:4

5 P

.M. T

he

mo

vie

la

sts

2 h

ou

rs 2

5 m

inu

tes

, s

o i

t e

nd

s a

t

8:1

0 P

.M., w

hic

h i

s l

ate

r th

an

7:4

5 P

.M.

8,8

00

22

5

SB45

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

4

. Fre

d b

ou

gh

t 4

liters

of

liqu

id lau

nd

ry d

ete

rgen

t, 3

,25

0 m

illili

ters

of

fab

ric s

oft

en

er, a

nd

2.5

liters

of

ble

ach

. For

nu

mb

ers

4a–4

e,

sele

ct

Yes

or

No.

4a.

Fre

d b

ou

gh

t 7

5 m

illili

ters

more

fab

ric s

oft

en

er

than

ble

ach

. Y

es

N

o

4b

. Fre

d b

ou

gh

t 1

.75

liters

more

lau

nd

ry d

ete

rgen

t th

an

ble

ach

. Y

es

N

o

4c.

Fre

d b

ou

gh

t 7

50

mill

ilite

rs m

ore

fab

ric s

oft

en

er

than

ble

ach

. Y

es

N

o

4d

. Fre

d b

ou

gh

t 1

50

mill

ilite

rs m

ore

lau

nd

ry d

ete

rgen

t th

an

ble

ach

. Y

es

N

o

4e.

Fre

d b

ou

gh

t 0

.75

liters

more

lau

nd

ry

dete

rgen

t th

an f

ab

ric s

oft

en

er.

Y

es

N

o

5

. A

male

hip

pop

ota

mu

s can

weig

h u

p t

o 1

0,0

00

pou

nd

s. H

ow

man

y to

ns

is 1

0,0

00

pou

nd

s?

ton

s

6

. A

mar

an

d h

is f

rien

ds

wen

t to

a m

ovi

e a

t 4

:45

P.M

. Th

e m

ovi

e

en

ded

at

6:2

0 P.M

.

Par

t A

How

lon

g w

as

the m

ovi

e?

hou

r(s)

an

d

min

ute

s

Par

t B

Am

ar

got

hom

e 4

5 m

inu

tes

aft

er

the m

ovi

e e

nd

ed

. W

hat

tim

e

did

Am

ar

get

hom

e?

Exp

lain

how

you

fou

nd

you

r an

swer.

7:0

5 P

.M.;

Po

ss

ible

ex

pla

na

tio

n:

I n

ee

d t

o fi

nd

45

min

ute

s a

fte

r 6

:20

P.M

. 6

:20

to

7:0

0 i

s 4

0 m

inu

tes

, s

o

5 m

inu

tes

mo

re i

s 7

:05

.

5

13

5

SB46

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB45-SB46 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 24: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

4

. Th

e lin

e p

lot

show

s th

e w

eig

hts

of

ston

es

fou

nd

in

a s

tream

.

Wh

at

is t

he a

vera

ge w

eig

ht

of

the s

ton

es?

Sh

ow

you

r w

ork

.

5

__

11 p

ou

nd

;

1

_

6 ×

2 =

2

_

6 o

r 1

_

3 ;

1

_

3 ×

4 =

4

_

3 o

r 1 1

_

3 ;

1

_

2 ;

2

_

3 ×

3

= 6

_

3 o

r 2; 5

_

6

1

_

3 +

1 1

_

3 +

1

_

2 +

2 +

5

_

6 =

5

5 ÷

11 =

5

__

11

5

. M

ika r

ecord

s th

e n

um

ber

of

mile

s sh

e w

alk

s each

day.

Par

t A

Gra

ph

Mik

a’s

resu

lts

on

th

e lin

e p

lot.

Dis

tan

ce (

miles)

Days

1 1

_

2

1 5

_

8

1 3

_

4

2 2 1

_

8

2 1

_

4

Par

t B

How

man

y d

ays

did

sh

e w

alk

an

d w

hat

was

her

tota

l

dis

tan

ce?

Exp

lain

you

r th

inkin

g.

16

days

fo

r a

to

tal

of

30

mil

es

; P

os

sib

le e

xp

lan

ati

on

:

I m

ult

ipli

ed

ea

ch

dis

tan

ce

by

th

e n

um

be

r o

f d

ots

ab

ove

th

e d

ista

nc

e i

n t

he

lin

e p

lot,

an

d t

he

n I

ad

de

d

the

pro

du

cts

.

Wei

ghts

of S

tone

s (in

lb)

✗✗✗✗

✗✗✗✗

✗✗✗

1 61 3

1 25 6

2 3

Mile

s W

alke

d Ea

ch D

ay

1 215 81

3 417 81

1 82

21 4

2

77777

777777

777

77

SB48

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Wei

ghts

of B

ags

of B

eans

(in

lb)

1 61 3

1 22 3

5 6

777777

777

777

Na

me

Prac

tice

Test

5.M

D.2

Re

pres

ent a

nd in

terp

ret d

ata.

1

. A

bu

ilder

is b

uyi

ng

pro

pert

y to

bu

ild n

ew

hou

ses.

Th

e s

izes

of

the lots

are

1

_

6 , 1

_

2 , 1

_

3 , 1

_

2 , 1

_

6 ,

1

_

2 , 1

_

2 , 1

_

3 , 1

_

6 , 1

_

2 , 1

_

6 , 1

_

2 , 1

_

6 , 1

_

6 , an

d 1

_

3 a

cre

. O

rgan

ize

the in

form

ation

in

a lin

e p

lot.

Wh

at

is t

he a

vera

ge s

ize o

f th

e lots

?

acre

2

. Th

e lin

e p

lot

show

s th

e w

eig

hts

of

bag

s of

bean

s. W

hat

is t

he a

vera

ge w

eig

ht

of

the b

ag

s? S

how

you

r w

ork

.

1

_

2 p

ou

nd

;

1

_

6 ×

2 =

2

_

6 o

r 1

_

3 ;

1

_

3 ×

2 =

2

_

3 ;

1

_

2 ×

3 =

3

_

2 o

r 1

1

_

2 ;

2

_

3 ×

4 =

8

_

3 o

r 2

2

_

3 ;

5

_

6

1

_

3 +

2

_

3 +

1 1

_

2 +

2 2

_

3 +

5

_

6 =

6

6 ÷

12

= 1

_

2

3

. A

my

fille

d b

ag

s w

ith

mix

ed

nu

ts. Th

e

weig

hts

of

the b

ag

s are

1

_

8 -l

b, 1

_

4 -l

b, 1

_

8 -l

b,

1

_

2 -l

b, 1

_

8 -l

b, 1

_

4 -l

b, 1

_

8 -l

b, 1

_

2 -l

b, 1

_

8 -l

b, 1

_

4 -l

b,

1

_

8 -l

b, 1

_

2 -l

b, 1

_

8 -l

b, 1

_

8 -l

b, 1

_

4 -l

b, an

d 1

_

2 -l

b.

Org

an

ize t

he in

form

ation

in

a lin

e p

lot.

Wh

at

is t

he a

vera

ge w

eig

ht

of

the b

ag

s?

pou

nd

(s)

1

_

3

1

_

4

Hou

se L

ots

(in a

cres

)

777

777777

777777

1 61 3

1 2

Bags

of N

uts

(in p

ound

s)

7777

77777777

7777

1 81 4

1 23 8

SB47

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB47-SB48 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 25: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

5.M

D.3

a Ge

omet

ric m

easu

rem

ent:

unde

rstan

d co

ncep

ts of

volu

me a

nd re

late

volu

me t

o m

ultip

licat

ion an

d to a

dditi

on.

1

. M

atc

h t

he f

igu

re w

ith

th

e n

um

ber

of

un

it c

ub

es

that

wou

ld

be n

eed

ed

to b

uild

each

fig

ure

. N

ot

eve

ry n

um

ber

of

un

it

cu

bes

will

be u

sed

.

8 u

nit c

ub

es

9 u

nit c

ub

es

1

0 u

nit c

ub

es

1

1 u

nit c

ub

es

1

2 u

nit c

ub

es

1

6 u

nit c

ub

es

2

. M

atc

h t

he f

igu

re w

ith

th

e n

um

ber

of

un

it c

ub

es

that

wou

ld b

e n

eed

ed

to b

uild

each

fig

ure

. N

ot

eve

ry n

um

ber

of

un

it c

ub

es

will

be u

sed

.

6 u

nit c

ub

es

7 u

nit c

ub

es

8 u

nit c

ub

es

9 u

nit c

ub

es

1

0 u

nit c

ub

es

1

2 u

nit c

ub

es

3

. B

akari

bu

ilds

a r

ecta

ng

ula

r p

rism

usi

ng

un

it c

ub

es.

Wh

at

is t

he v

olu

me o

f th

e p

rism

? E

xpla

in y

ou

r th

inkin

g.

32

cu

bic

un

its

; P

os

sib

le e

xp

lan

ati

on

: Th

ere

are

8 u

nit

cu

be

s o

n t

he

bo

tto

m l

aye

r. S

inc

e t

he

re a

re 4

laye

rs

ea

ch

wit

h 8

un

it c

ub

es

, I

mu

ltip

lie

d 4

by

8 t

o g

et

32

.

SB49

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

• • •• • •

4

. M

atc

h t

he f

igu

re w

ith

th

e n

um

ber

of

un

it c

ub

es

that

wou

ld b

e n

eed

ed

to b

uild

each

fig

ure

. N

ot

eve

ry n

um

ber

of

un

it c

ub

es

will

be u

sed

.

5

. Jo

o-C

han

bu

ilds

a r

ecta

ng

ula

r p

rism

usi

ng

un

it c

ub

es.

Wh

at

is t

he v

olu

me o

f th

e p

rism

? E

xpla

in y

ou

r th

inkin

g.

40

cu

bic

un

its

; P

os

sib

le e

xp

lan

ati

on

: Th

ere

are

8 u

nit

cu

be

s o

n t

he

bo

tto

m l

aye

r. S

inc

e t

he

re a

re 5

laye

rs

ea

ch

wit

h 8

un

it c

ub

es

, I

mu

ltip

lie

d 5

by

8 t

o g

et

40

.

6

. M

atc

h t

he f

igu

re w

ith

th

e n

um

ber

of

un

it c

ub

es

that

wou

ld b

e n

eed

ed

to b

uild

each

fig

ure

. N

ot

eve

ry n

um

ber

of

un

it c

ub

es

will

be u

sed

.

• 7

un

it c

ub

es

• 8

un

it c

ub

es

• 9

un

it c

ub

es

• 1

0 u

nit c

ub

es

• 1

2 u

nit c

ub

es

• 1

5 u

nit c

ub

es

• 8

un

it c

ub

es

• 9

un

it c

ub

es

• 1

0 u

nit c

ub

es

• 1

1 u

nit c

ub

es

• 1

2 u

nit c

ub

es

• 1

6 u

nit c

ub

es

SB50

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB49-SB50 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 26: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

4

. A

sh

ipp

ing

con

tain

er

hold

s 4

0 t

issu

e b

oxe

s. T

he d

imen

sion

s

of

a t

issu

e b

ox

are

4 in

ch

es

by

6 in

ch

es

by

3 in

ch

es.

For

nu

mb

ers

4a–4

c, se

lect

Yes

or

No t

o in

dic

ate

wh

eth

er

each

state

men

t is

corr

ect.

4a.

Each

tis

sue b

ox

has

a v

olu

me o

f

72

cu

bic

in

ch

es.

4b

. Each

con

tain

er

has

a v

olu

me o

f

ab

ou

t 1

,44

0 c

ub

ic in

ch

es.

4c.

If a

con

tain

er

cou

ld h

old

48

tis

sue

boxe

s, t

he v

olu

me o

f th

e c

on

tain

er

wou

ld b

e a

bou

t 6

24

cu

bic

in

ch

es.

5

. A

sh

ipp

ing

con

tain

er

hold

s 4

0 g

ift

boxe

s. T

he d

imen

sion

s of

a

gift

box

are

4 in

ch

es

by

5 in

ch

es

by

2 in

ch

es.

For

nu

mb

ers

5a–5

c, se

lect

Yes

or

No t

o in

dic

ate

wh

eth

er

each

sta

tem

en

t is

corr

ect.

5a.

Each

gift

box

has

a v

olu

me o

f

40

cu

bic

in

ch

es.

5b

. Each

con

tain

er

has

a v

olu

me o

f

ab

ou

t 1

,60

0 c

ub

ic in

ch

es.

5c.

If a

con

tain

er

cou

ld h

old

50

tis

sue

boxe

s, t

he v

olu

me o

f th

e c

on

tain

er

wou

ld b

e a

bou

t 1

,00

0 c

ub

ic in

ch

es.

6

. M

iran

da h

as

cu

bes

that

measu

re 4

in

ch

es

on

each

sid

e.

Wh

ich

of

the s

tate

men

ts a

re t

rue?

Mark

all

that

ap

ply

.

A

The v

olu

me o

f one c

ube is

48

cubic

inches.

B

If M

iranda f

ills

a b

ox

with 1

2 c

ubes,

the v

olu

me

of

the b

ox

is a

bout

76

8 c

ubic

inches.

C

If t

he v

olu

me o

f th

e b

ox

is 8

00

cubic

inches,

Mir

anda c

an f

it 1

4 c

ubes

in t

he b

ox.

D

If t

he v

olu

me o

f th

e b

ox

is 1

,00

0 c

ubes,

Mir

anda c

an f

it 1

5 c

ubes

in t

he b

ox.

Y

es

N

o

Y

es

N

o

Y

es

N

o

Y

es

N

o

Y

es

N

o

Y

es

N

o

SB52

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

5.M

D.3

b Ge

omet

ric m

easu

rem

ent:

unde

rstan

d co

ncep

ts of

volu

me a

nd re

late

volu

me t

o m

ultip

licat

ion an

d to a

dditi

on.

1

. A

sh

ipp

ing

cra

te h

old

s 2

0 s

hoeb

oxe

s. T

he d

imen

sion

s of

a

shoeb

ox

are

6 in

ch

es

by

4 in

ch

es

by

12

in

ch

es.

For

nu

mb

ers

1a–1

c, se

lect

Yes

or

No t

o in

dic

ate

wh

eth

er

each

sta

tem

en

t

is c

orr

ect.

1a.

Each

sh

oeb

ox

has

a v

olu

me

Y

es

N

o

of

22

cu

bic

in

ch

es.

1b

. Each

cra

te h

as

a v

olu

me o

f ab

ou

t

Y

es

N

o

44

0 c

ub

ic in

ch

es.

1c.

If t

he c

rate

cou

ld h

old

27

sh

oeb

oxe

s

Y

es

N

o

the v

olu

me o

f th

e c

rate

wou

ld b

e

ab

ou

t 7

,77

6 c

ub

ic in

ch

es.

2

. A

pack o

f fo

lders

has

a len

gth

of

5 in

ch

es,

a w

idth

of

12

in

ch

es,

an

d a

heig

ht

of

1 in

ch

. Th

e p

ack o

f fo

lders

will

be s

hip

ped

in

a

box

that

hold

s 1

2 p

acks

of

fold

ers

. For

nu

mb

ers

2a–2

c, se

lect

Yes

or

No t

o in

dic

ate

wh

eth

er

the s

tate

men

t is

corr

ect.

2a.

Each

pack o

f fo

lders

has

a

Y

es

N

o

volu

me o

f 6

0 c

ub

ic in

ch

es.

2b

. Th

e b

ox

has

a v

olu

me o

f ab

ou

t

Y

es

N

o

72

0 c

ub

ic in

ch

es.

2c.

If t

he b

ox

held

15

packs

of

fold

ers

,

Y

es

N

o

it w

ou

ld h

ave

a v

olu

me o

f ab

ou

t

1,2

00

cu

bic

in

ch

es.

3

. A

sh

ipp

ing

cra

te h

old

s 1

8 b

ooks.

Th

e d

imen

sion

s of

each

book a

re

2 in

ch

es

by

8 in

ch

es

by

10

in

ch

es.

For

nu

mb

ers

3a–3

c, se

lect

Yes

or

No t

o in

dic

ate

wh

eth

er

each

sta

tem

en

t is

corr

ect.

3a.

Each

book h

as

a v

olu

me

Y

es

N

o

of

20

cu

bic

in

ch

es.

3b

. Each

cra

te h

as

a v

olu

me o

f ab

ou

t

Y

es

N

o

2,8

80

cu

bic

in

ch

es.

3c.

If t

he c

rate

cou

ld h

old

24

books

Y

es

N

o

the v

olu

me o

f th

e c

rate

wou

ld b

e

ab

ou

t 3

,84

0 c

ub

ic in

ch

es.

SB51

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB51-SB52 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 27: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

5.M

D.4

Ge

omet

ric m

easu

rem

ent:

unde

rstan

d co

ncep

ts of

volu

me a

nd re

late

volu

me t

o m

ultip

licat

ion an

d to a

dditi

on.

1

. V

icto

ria u

sed

1-i

nch

cu

bes

to b

uild

th

e r

ecta

ng

ula

r

pri

sm s

how

n. Fin

d t

he v

olu

me o

f th

e r

ecta

ng

ula

r

pri

sm V

icto

ria b

uilt

.

cu

bic

in

ch

es

2

. C

arl

ton

use

d 1

-cen

tim

ete

r cu

bes

to b

uild

th

e r

ecta

ngu

lar

pri

sm s

how

n.

Fin

d t

he v

olu

me o

f th

e r

ecta

ng

ula

r p

rism

Carl

ton

bu

ilt.

cu

bic

in

ch

es

3

.R

yan

bu

ilt a

recta

ng

ula

r p

rism

ou

t of

cu

bes.

Par

t A

Fin

d t

he v

olu

me o

f th

e p

rism

.

5 ×

2 ×

2 =

20

cu

bic

un

its

Par

t B

Rya

n a

dd

ed

4 c

ub

es

to h

is p

rism

. C

alc

ula

te t

he v

olu

me.

How

has

the v

olu

me c

han

ged

?

20

+ 4

= 2

4 c

ub

ic u

nit

s;

Po

ss

ible

ex

pla

na

tio

n: T

he

vo

lum

e i

nc

rea

se

d b

y 4

.

4 in

.

3 in

.6

in

.

4 c

m

3 c

m5 c

m

72

60

SB53

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

4

. W

en

dy

use

d 1

-cen

tim

ete

r cu

bes

to b

uild

th

e

recta

ng

ula

r p

rism

sh

ow

n. Fin

d t

he v

olu

me o

f

the r

ecta

ng

ula

r p

rism

Wen

dy

bu

ilt. cu

bic

cen

tim

ete

rs

5

. C

arm

en

use

d 1

-in

ch

cu

bes

to b

uild

th

e r

ecta

ng

ula

r

pri

sm s

how

n. Fin

d t

he v

olu

me o

f th

e r

ecta

ng

ula

r

pri

sm C

arm

en

bu

ilt.

cu

bic

in

ch

es

6

. Ju

lio b

uilt

a r

ecta

ng

ula

r p

rism

ou

t of

cu

bes.

Par

t A

Fin

d t

he v

olu

me o

f th

e p

rism

.

3 ×

3 ×

2 =

18

cu

bic

un

its

Par

t B

Julio

ad

ded

6 c

ub

es

to h

is p

rism

. C

alc

ula

te t

he v

olu

me.

How

has

the v

olu

me c

han

ged

?

18 +

6 =

24

cu

bic

un

its

; P

os

sib

le e

xp

lan

ati

on

: Th

e

vo

lum

e i

nc

rea

se

d b

y 6

.

4 c

m

5 c

m

4 c

m 2 in

.

3 in

.

4 in

.

80

24

SB54

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB53-SB54 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 28: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

4

. Je

ssic

a p

acked

1-i

nch

cu

bes

into

a b

ox

with

a v

olu

me o

f

14

4 c

ub

ic in

ch

es.

How

man

y la

yers

of

1-i

nch

cu

bes

did

Jess

ica p

ack?

laye

rs

5

. D

on

ald

use

d 1

-in

ch c

ub

es

to m

ake t

he r

ecta

ng

ula

r p

rism

show

n. For

nu

mb

ers

5a–5

d, w

rite

th

e v

alu

e t

hat

makes

each

sta

tem

en

t tr

ue. Each

valu

e c

an

be u

sed

more

th

an

on

ce o

r n

ot

at

all.

1

53

61

43

09

01

20

5

a.

Each

cu

be h

as

a v

olu

me o

f c

ub

ic in

ch

(es)

.

5

b.

Each

laye

r of

the p

rism

is

mad

e u

p o

f c

ub

es.

5

c.

Th

ere

are

laye

rs o

f cu

bes.

5

d.

Th

e v

olu

me o

f th

e p

rism

is

cu

bic

in

ch

es.

6

. M

an

uel st

ore

s h

is f

avo

rite

CD

s in

a b

ox

like t

he o

ne s

how

n.

U

se t

he n

um

bers

an

d s

ymb

ols

on

th

e t

iles

to w

rite

a f

orm

ula

that

rep

rese

nts

th

e v

olu

me o

f th

e b

ox.

Sym

bols

may

be u

sed

more

th

an

on

ce o

r not

at

all.

V

10

71

5=

−÷

W

hat

is t

he v

olu

me o

f th

e b

ox?

c

ub

ic c

en

tim

ete

rs

15 c

m10

cm

7 cm

6 in

.3

in.

5 in

.

4

1

30

3

90

1,0

50

V =

15

× 1

0 ×

7

SB56

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

5.M

D.5

a Ge

omet

ric m

easu

rem

ent:

unde

rstan

d co

ncep

ts of

volu

me a

nd re

late

volu

me t

o m

ultip

licat

ion an

d to a

dditi

on.

1

. M

ark

packed

1-i

nch

cu

bes

into

a b

ox

with

a v

olu

me o

f

12

0 c

ub

ic in

ch

es.

How

man

y la

yers

of

1-i

nch

cu

bes

did

Mark

pack?

laye

rs

2

. M

on

ica u

sed

1-i

nch

cu

bes

to m

ake t

he r

ecta

ng

ula

r pri

sm

show

n. For

nu

mb

ers

2a–2

d, w

rite

th

e v

alu

e f

rom

th

e t

iles

that

makes

each

sta

tem

en

t tr

ue. Each

valu

e c

an

be u

sed

more

th

an

on

ce o

r n

ot

at

all.

1

43

51

21

52

06

0

2

a.

Each

cu

be h

as

a v

olu

me o

f c

ub

ic in

ch(e

s).

2

b.

Each

laye

r of

the p

rism

is

mad

e u

p o

f c

ub

es.

2

c.

Th

ere

are

laye

rs o

f cu

bes.

2

d.

Th

e v

olu

me o

f th

e p

rism

is

cu

bic

in

ches.

3

. Jo

hn

use

d 1

-in

ch

cu

bes

to m

ake t

he r

ecta

ng

ula

r p

rism

sh

ow

n.

For

nu

mb

ers

3a–3

d, w

rite

th

e v

alu

e t

hat

makes

each

sta

tem

en

t

corr

ect. E

ach

valu

e c

an

be u

sed

more

th

an

on

ce o

r n

ot

at

all.

1

53

71

23

51

25

17

5

3

a.

Each

cu

be h

as

a v

olu

me o

f 1

cu

bic

in

ch

(es)

.

3

b.

Each

laye

r of

the p

rism

is

mad

e u

p o

f 3

5 c

ub

es.

3

c.

Th

ere

are

5

laye

rs o

f cu

bes.

3

d.

Th

e v

olu

me o

f th

e p

rism

is

17

5 c

ub

ic in

ch

es.

5 in

.3

in.

4 in

.

5 in

.

7 in

.

5 in

.

5

1

20

3

60

SB55

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB55-SB56 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 29: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

5.M

D.5

b Ge

omet

ric m

easu

rem

ent:

unde

rstan

d co

ncep

ts of

volu

me a

nd re

late

volu

me t

o m

ultip

licat

ion an

d to a

dditi

on.

1

. Jo

se s

tore

s h

is b

ase

ball

card

s in

a b

ox

like t

he o

ne s

how

n.

8 in

.

10 in

.3 in

.

Use

th

e n

um

bers

an

d s

ymb

ols

on

th

e t

iles

to w

rite

a f

orm

ula

th

at

rep

rese

nts

the v

olu

me o

f th

e b

ox.

Sym

bols

may

be u

sed

more

th

an

on

ce o

r n

ot

at

all.

V3

810

=+

×–

÷

Wh

at

is t

he v

olu

me o

f th

e b

ox?

c

ub

ic in

ch

es

2

. M

eg

an

’s a

qu

ari

um

has

a v

olu

me o

f 4

,32

0 c

ub

ic in

ch

es.

Wh

ich

cou

ld b

e t

he d

imen

sion

s of

the a

qu

ari

um

?

Mark

all

that

ap

ply

.

A

16

in

. by

16

in

. b

y 1

8 in

.

C

1

2 in

. b

y 1

5 in

. b

y 2

4 in

.

B 1

4 in

. b

y 1

8 in

. b

y 2

0 in

.

D

8

in

. b

y 2

0 in

. b

y 2

7 in

.

3

. K

en

keep

s p

ap

er

clip

s in

a b

ox

that

is t

he s

hap

e o

f a c

ub

e.

Each

sid

e o

f th

e c

ub

e is

3 in

ch

es.

Wh

at

is t

he v

olu

me o

f th

e b

ox?

cu

bic

in

ch

es

4

. Tom

keep

s st

icky

note

s in

a b

ox

that

is t

he s

hap

e o

f a c

ub

e.

Each

sid

e o

f th

e b

ox

is 4

in

ch

es.

Wh

at

is t

he v

olu

me o

f th

e b

ox?

cu

bic

in

ch

es

27

64

V =

8 ×

10

× 3

24

0

SB57

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

5

. D

akota

's w

ad

ing

pool h

as

a v

olu

me o

f 8

,64

0 c

ub

ic in

ch

es.

Wh

ich

cou

ld b

e t

he d

imen

sion

s of

the w

ad

ing

pool?

Mark

all

that

ap

ply

.

A

24

in. by

30

in. by

12

in.

B

27

in. by

32

in. by

10

in.

C

28

in. by

31

in. by

13

in.

D

30

in. by

37

in. by

18

in.

6

. Eri

n s

tore

s h

er

ph

oto

s in

a b

ox

like t

he o

ne s

how

n. 4

in.

9 in

.

10 in

.

Use

th

e n

um

bers

an

d s

ymb

ols

on

th

e t

iles

to w

rite

a f

orm

ula

th

at

rep

rese

nts

th

e v

olu

me

of

the b

ox.

Sym

bols

may

be u

sed

more

th

an

on

ce o

r n

ot

at

all.

V4

910

=+

×–

÷

Wh

at

is t

he v

olu

me o

f th

e b

ox?

cu

bic

in

ch

es

7

. A

sh

ipp

ing

con

tain

er

has

a v

olu

me o

f 2

,88

0 c

ub

ic in

ch

es.

Wh

ich

cou

ld b

e t

he d

imen

sion

s of

the c

on

tain

er?

Mark

all

that

ap

ply

.

A 1

0 in

. b

y 1

2 in

. b

y 2

4 in

. C

1

2 in

. b

y 1

5 in

. b

y 1

8 in

.

B 1

2 in

. b

y 1

2 in

. b

y 2

0 in

.

D 1

0 in

. b

y 1

6 in

. b

y 2

0 in

.

36

0

V =

10

× 9

× 4 SB

58Sm

arte

r Bal

ance

d Te

st P

rep

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Prac

tice

Test

SB57-SB58 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 30: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

4

. W

hat

is t

he v

olu

me o

f th

e c

om

posi

te f

igu

re?

8 in

.

6 in

.

6 in

.

6 in

.8

in.

24 in

.

18 in

.15 in

.

cu

bic

in

ch

es

5

. A

com

posi

te f

igu

re is

show

n. W

hat

is t

he v

olu

me o

f th

e

com

posi

te f

igu

re?

4 cm

4 cm

6 cm

5 cm

9 cm

Volu

me =

c

ub

ic c

en

tim

ete

rs

6

. W

rite

th

e m

issi

ng

dim

en

sion

s of

the f

igu

re. Th

en

use

a

form

ula

an

d c

alc

ula

te t

he v

olu

me o

f th

e f

igu

re.

12 m

28 m

10 m

3 m

8 m

12 m

7 m

4,3

20

276

2,6

40

cu

m;

Po

ss

ible

eq

ua

tio

n: V

= 8

× 1

2 ×

10

+ 2

0 ×

12

× 7

SB60

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

5.M

D.5

c Ge

omet

ric m

easu

rem

ent:

unde

rstan

d co

ncep

ts of

volu

me a

nd re

late

volu

me t

o m

ultip

licat

ion an

d to a

dditi

on.

1

. W

hat

is t

he v

olu

me o

f th

e c

om

posi

te f

igu

re?

3 ft

3 ft

2 ft

2 ft

1 ft

1 ft

1 ft

6 ft

cu

bic

feet

2

. A

com

posi

te f

igu

re is

show

n. W

hat

is t

he v

olu

me o

f th

e

com

posi

te f

igu

re?

6 cm

10 c

m

4 cm

7 cm

4 cm

6 cm

3 cm

V

olu

me =

c

ub

ic c

en

tim

ete

rs

3

. A

com

posi

te f

igu

re is

show

n. W

hat

is t

he v

olu

me o

f th

e c

om

posi

te f

igu

re?

10 c

m7

cm5 cm

5 cm

6 cm

3 cm

3 cm

V

olu

me =

c

ub

ic c

en

tim

ete

rs

36

312

476

SB59

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB59-SB60 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 31: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

5.G

.1

Grap

h poin

ts on

the c

oord

inat

e pla

ne

to so

lve re

al-w

orld

and m

athe

mat

ical

prob

lems.

1

. Th

e lett

ers

on

th

e c

oord

inate

gri

d r

ep

rese

nt

the

location

s of

the f

irst

fou

r h

ole

s on

a g

olf c

ou

rse.

Wh

ich

of

the f

ollo

win

g a

ccu

rate

ly d

esc

rib

es

the

location

of

a h

ole

? M

ark

all

that

ap

ply

.

A

Hole

U is

4 u

nits

left

and 4

units

dow

n f

rom

hole

S.

B H

ole

F is

1 u

nit r

igh

t an

d 7

un

its

dow

n f

rom

hole

U.

C H

ole

T is

2 u

nits

left

an

d 4

un

its

up

fro

m h

ole

S.

D H

ole

S is

3 u

nits

left

an

d 5

un

its

up

fro

m h

ole

F.

2

. Lin

dse

y m

ad

e a

map

of

her

tow

n. M

atc

h

each

location

belo

w w

ith

th

e c

orr

ect

ord

ere

d p

air

th

at

mark

s it o

n t

he c

oord

inate

gri

d. N

ot

eve

ry o

rdere

d p

air

will

be u

sed

.

Clo

ck T

ow

er

(

4, 4

)

(4

, 1

)

Art

Mu

seu

m

(1

, 3

)

(5

, 4

)

East

Park

(4

, 5

)

(3

, 1

)

Movi

e T

heate

r

(2

, 4

)

(1

, 4

)

Sch

ool

(

4, 2

)

3

. Lu

cy’

s h

ou

se is

locate

d a

t th

e p

oin

t sh

ow

n o

n t

he

coord

inate

gri

d. A

insl

ey’

s h

ou

se is

locate

d 2

un

its

rig

ht

an

d 3

un

its

dow

n f

rom

Lu

cy’

s h

ou

se. P

lot

a

poin

t on

th

e c

oord

inate

gri

d t

o r

ep

rese

nt

the

location

of

Ain

sley’

s h

ou

se.

Wh

at

ord

ere

d p

air

rep

rese

nts

th

e location

of

Lu

cy’

s h

ou

se?

(3

, 5

)

Wh

at

ord

ere

d p

air

rep

rese

nts

th

e location

of

Ain

sley’

s h

ou

se?

(5

, 2

)

678 5 4 3 2 1 02

31

45

78

TU

S

F 6

Gol

f Cou

rse

1

12

34

56x

23456 0

Wes

tP

ark

Clo

ckT

ow

er

Lib

rary

Ten

nis

Co

urt

Mo

vie

Th

eate

r

Tra

inS

tati

on

Bic

ycl

eS

ho

p

East

Park

Barb

erS

ho

p

Art

Mu

seu

m

Sch

oo

l

12

111

10

2

39 8

4

57

6

Mov

ie

Mo

vie

Movie

y

1

12

03

45

2345L

ucy

'sH

ou

se

Ain

sley

’sH

ou

se

y

x

SB61

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

4

. Th

e m

ap

sh

ow

s th

e location

s of

att

raction

s at

an

am

use

men

t p

ark

. M

atc

h

each

location

belo

w w

ith

th

e c

orr

ect

ord

ere

d p

air

th

at

mark

s it o

n t

he m

ap

.

Not

eve

ry o

rdere

d p

air

will

be u

sed

.

Ferr

is W

heel

Sw

imm

ing

Pool

Rolle

rcoast

er

Pett

ing

Zoo

Wate

r S

lide

5

. Lu

ke’s

hou

se is

locate

d a

t th

e p

oin

t sh

ow

n o

n t

he

coord

inate

gri

d. K

yle’s

hou

se is

locate

d 4

un

its

left

an

d 2

un

its

up

fro

m L

uke’s

hou

se. P

lot

a p

oin

t on

th

e

coord

inate

gri

d t

o r

ep

rese

nt

the location

of

Kyl

e’s

hou

se.

Wh

at

ord

ere

d p

air

rep

rese

nts

th

e

location

of

Lu

ke’s

hou

se?

(5

, 3

)

Wh

at

ord

ere

d p

air

rep

rese

nts

th

e

location

of

Kyl

e’s

hou

se?

(1, 5

)

6

. Th

e c

oord

inate

gri

d r

ep

rese

nts

th

e s

ch

ool p

layg

rou

nd

.

Wh

ich

of

the f

ollo

win

g a

ccu

rate

ly d

esc

rib

es

the location

of

a p

layg

rou

nd

are

a?

Mark

all

that

ap

ply

.

A Th

e s

lide is

2 u

nits

left

an

d 4

un

its

up

fro

m t

he s

occer

field

.

B Th

e b

ase

ball

field

is

1 u

nit left

an

d 3

un

its

dow

n f

rom

the s

lide.

C Th

e ju

ng

le g

ym is

4 u

nits

rig

ht

an

d 1

un

it d

ow

n f

rom

the b

ase

ball

field

.

D Th

e s

occer

field

is

3 u

nits

rig

ht

an

d 1

un

it u

p f

rom

th

e

base

ball

field

.

AM

US

EM

EN

T P

AR

K

1

12

34

5x

2345y 0

Fer

ris

wh

eel

Ice

crea

mst

an

d

Pet

tin

gzo

o

Hau

nte

dh

ou

se

Sw

imm

ing

po

ol

Wate

rsl

ide

Ro

llerc

oa

ster

(0

, 4

)

(2

, 4

)

(4

, 3

)

(4

, 0

)

(4

, 2

)

(3

, 4

)

(1

, 2

)

1

12

03

45

x

2345y

Lu

ke'

sH

ou

se

Ky

le’s

Ho

use

678 5 4 3 2 1 02

31

45

68

7

Play

grou

nd

Slid

eSo

ccer

Fie

ld

Base

ball

Fiel

d Jung

le G

ym

SB62

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB61-SB62 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 32: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

3

. R

an

dy

is t

rain

ing

for

a r

ace. S

he m

akes

a t

ab

le t

hat

show

s h

ow

lon

g it

takes

her

to r

un

diffe

ren

t d

ista

nces.

Ru

nn

ing

Tim

e a

nd

Dis

tan

ce

Nu

mb

er

of

Miles

12

34

Tim

e (

in m

inu

tes)

10

20

30

40

Par

t A

Wri

te t

he n

um

ber

pair

s as

ord

ere

d p

air

s. T

hen

wri

te t

he r

ule

to

desc

rib

e h

ow

th

e n

um

ber

pair

s are

rela

ted

.

(1, 10

), (

2, 2

0),

(3

, 3

0),

(4

, 4

0);

Ru

le:

Mu

ltip

ly t

he

nu

mb

er

of

mil

es

by

10

.

Par

t B

Gra

ph

th

e o

rdere

d p

air

s on

th

e c

oord

inate

pla

ne.

4

. A

scie

ntist

mad

e a

lin

e g

rap

h t

hat

show

s h

ow

a b

ear’s

ave

rag

e

heart

rate

ch

an

ges

ove

r tim

e.

020

40

60

80

100

120

140

160

Heart Rate (beats/min.)

Jun

eJu

lyA

ug

.S

ept.

Oct

.N

ov.

Dec

.Ja

n.

Ch

ange

in A

vera

ge H

eart

Rat

e of

Bea

rs

Mon

th

For

nu

mb

ers

4a–4

c, se

lect

Yes

or

No t

o in

dic

ate

wh

eth

er

each

state

men

t is

corr

ect.

4a.

Th

e b

ear’s

heart

rate

is

at

its

hig

hest

in

Ju

ly.

Y

es

N

o

4b

. Th

e b

ear’s

ave

rag

e h

eart

rate

incre

ase

s b

y 1

0 b

eats

per

min

ute

from

Ju

ly t

o A

ug

ust

. Y

es

N

o

4c.

Th

e b

ear’s

heart

rate

is

at

its

low

est

in J

an

uary

. Y

es

N

o6070 50 40 30 20 10 0 2

31

45

76

Num

ber o

f Mile

s

Time (in minutes)

SB64

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

5.G

.2

Grap

h poin

ts on

the c

oord

inat

e pla

ne

to so

lve re

al-w

orld

and m

athe

mat

ical

prob

lems.

1

. For

6 d

ays

in

a r

ow

, Ju

lia m

easu

red

th

e d

ep

th o

f th

e s

now

in a

sh

ad

ed

are

a o

f h

er

backya

rd. Th

e lin

e g

rap

h s

how

s

her

data

. B

etw

een

wh

ich

tw

o d

ays

did

th

e d

ep

th o

f th

e

sn

ow

decre

ase

th

e m

ost

?

12 10 8 6 4 2 0 2

31

46

5D

ay

Depth (in inches)

Snow

Dep

th

betw

een

Day

5 a

nd

Day

6

2

. Th

e t

ab

le s

how

s h

ow

mu

ch

a p

up

py

weig

hs

from

1 m

on

th o

ld t

o

5 m

on

ths

old

.

Pu

pp

y’s

We

igh

t

Ag

e (

in m

on

ths)

12

34

5

Weig

ht

(in

po

un

ds)

12

18

23

31

34

Wh

at

ord

ere

d p

air

s w

ou

ld y

ou

plo

t to

sh

ow

th

e p

up

py’

s w

eig

ht

on

a c

oord

inate

gri

d?

How

do y

ou

th

ink t

he o

rdere

d p

air

s w

ou

ld b

e

diffe

ren

t if t

he p

up

py’

s w

eig

ht

was

measu

red

eve

ry w

eek in

stead

of

eve

ry m

on

th?

Exp

lain

you

r re

aso

nin

g.

(1, 12

), (

2, 18

), (

3, 2

3),

(4

, 3

1),

(5

, 3

4);

Po

ss

ible

an

sw

er:

Th

ere

wo

uld

be

ma

ny

mo

re o

rde

red

pa

irs

sin

ce

th

ere

wo

uld

be

seve

ral

we

igh

t m

ea

su

rem

en

ts p

er

mo

nth

.

Als

o, th

e p

up

py

’s w

eig

ht

wo

uld

no

t in

cre

as

e a

s f

as

t

sin

ce

it

wo

uld

no

t g

ain

as

mu

ch

we

igh

t in

a w

ee

k a

s i

t

do

es

in

a m

on

th.

SB63

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB63-SB64 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 33: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

5.G

.3

Class

ify tw

o-di

men

siona

l figu

res i

nto

cate

gorie

s bas

ed on

their

prop

ertie

s.

1

. M

r. D

elg

ad

o s

ees

this

sig

n w

hile

he is

dri

vin

g. For

nu

mb

ers

1a–1

b, ch

oose

th

e v

alu

es

an

d t

erm

th

at

corr

ectly

desc

rib

es

the s

hap

e M

r. D

elg

ad

o s

aw

.

1a.

Th

e f

igure

has

3 4 5

sid

es

an

d

0 2 3

vert

ices.

1b

. A

ll of

the s

ides

are

con

gru

en

t, s

o t

he f

igu

re is

not

a p

oly

gon

a r

eg

ula

r p

oly

gon

not

a r

eg

ula

r p

oly

gon

.

2

. Ja

vier

dre

w t

he s

hap

e s

how

n. For

nu

mb

ers

2a–2

b,

ch

oose

th

e v

alu

es

an

d t

erm

th

at

corr

ectly

desc

rib

e

the s

hap

e J

avi

er

dre

w.

2a.

Th

e f

igure

has

6 7 8

sid

es

an

d

6 8 12

an

gle

s.

2b

. Th

e f

igu

re is

a

reg

ula

r octa

gon

reg

ula

r h

ep

tag

on

reg

ula

r q

uad

rila

tera

l

.

3

. For

nu

mb

ers

3a–3

c, w

rite

th

e n

am

e o

f on

e q

uad

rila

tera

l

from

th

e t

iles

to c

om

ple

te a

tru

e s

tate

men

t. U

se e

ach

qu

ad

rila

tera

l on

ce o

nly

.

3a.

A

rec

tan

gle

is

alw

ays

a p

ara

llelo

gra

m.

3b

. A

s

qu

are

is

alw

ays

a r

hom

bu

s.

3c.

A

tra

pe

zo

id is

neve

r a p

ara

llelo

gra

m.

squ

are

trap

ezo

id

recta

ng

le

SB65

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

4

. M

ari

o is

makin

g a

dia

gra

m t

hat

show

s th

e r

ela

tion

ship

betw

een

diffe

ren

t kin

ds

of

qu

ad

rila

tera

ls. In

th

e d

iag

ram

,

each

qu

ad

rila

tera

l on

a low

er

leve

l can

als

o b

e d

esc

rib

ed

by

the q

uad

rila

tera

l(s)

ab

ove

it

on

hig

her

leve

ls.

Par

t A

Com

ple

te t

he d

iag

ram

by

wri

tin

g t

he n

am

e o

f on

e f

igu

re f

rom

the t

iles

in e

ach

box.

Not

eve

ry f

igu

re w

ill b

e u

sed

.

qu

ad

rila

tera

l

pa

ralle

logra

m

rho

mbu

s

squ

are

trap

ezo

id

tria

ng

le

rhom

bu

s

para

llelo

gra

m

Par

t B

Mari

o c

laim

s th

at

a r

hom

bu

s is

som

etim

es a

sq

uare

, b

ut

a

squ

are

is alway

s a r

hom

bu

s. Is

he c

orr

ect?

Exp

lain

you

r an

swer.

Ye

s;

Po

ss

ible

ex

pla

na

tio

n: A

sq

ua

re h

as

4 s

ide

s t

ha

t

are

co

ng

rue

nt

an

d e

qu

al. A

sq

ua

re w

ith

th

es

e f

ea

ture

s

is a

lso

a r

ho

mb

us

. H

ow

eve

r, w

he

n a

rh

om

bu

s d

oe

s n

ot

have

90

de

gre

e a

ng

les

, it

is

no

t a

sq

ua

re.

5

. K

ayl

a d

rew

th

e s

hap

e s

how

n. For

nu

mb

ers

5a–5

b, ch

oose

th

e

valu

es

an

d t

erm

th

at

corr

ectly

desc

rib

e t

he s

hap

e K

ayl

a d

rew

.

5a.

Th

e f

igu

re h

as

4 6 12

sid

es

an

d

4 6 8

an

gle

s.

5b

. Th

e f

igu

re is

a

reg

ula

r h

ep

tag

on

reg

ula

r p

en

tag

on

reg

ula

r h

exa

gon

.

SB66

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB65-SB66 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company

Page 34: SB1-SB2 Answer Key

Na

me

Prac

tice

Test

4

. K

rist

in d

rew

a t

rian

gle

with

2 c

on

gru

en

t si

des

an

d 1

ob

tuse

an

gle

. W

hic

h t

erm

accu

rate

ly d

esc

rib

es

the t

rian

gle

? M

ark

all

that

ap

ply

.

A

isosc

ele

s

C acu

te

B sc

ale

ne

D ob

tuse

5

. N

ata

lie d

rew

an

acute

, is

osc

ele

s tr

ian

gle

. For

5a–5

c, ch

oose

Yes

or

No t

o in

dic

ate

wh

eth

er

the f

igu

re s

how

n c

ou

ld b

e t

he

tria

ng

le t

hat

Nata

lie d

rew

.

5a.

Y

es

N

o

5b

.

Y

es

N

o

5c.

Y

es

N

o

6

. For

nu

mb

ers

6a–6

f, c

hoose

Yes

or

No t

o in

dic

ate

wh

eth

er

the n

am

e a

pp

lies

to t

he p

oly

gon

.

6a.

qu

ad

rila

tera

l Y

es

N

o

6b

. re

cta

ng

le

Y

es

N

o

6c.

squ

are

Y

es

N

o

6d

. p

ara

llelo

gra

m

Y

es

N

o

6e.

rhom

bu

s Y

es

N

o

6f.

trap

ezo

id

Y

es

N

o

SB68

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

Na

me

Prac

tice

Test

5.G

.4

Class

ify tw

o-di

men

siona

l figu

res i

nto

cate

gorie

s bas

ed on

their

prop

ertie

s.

1

. Fra

n d

rew

a t

rian

gle

with

no c

on

gru

en

t si

des

an

d

1 r

igh

t an

gle

. W

hic

h t

erm

accu

rate

ly d

esc

rib

es

the

tri

an

gle

? M

ark

all

that

ap

ply

.

A

isosc

ele

s

C acu

te

B sc

ale

ne

D ri

gh

t

2

. N

ath

an

dre

w a

scale

ne, ob

tuse

tri

an

gle

. For

2a–2

c, ch

oose

Yes

or

No t

o in

dic

ate

wh

eth

er

the f

igu

re s

how

n c

ou

ld b

e

the t

rian

gle

th

at

Nath

an

dre

w.

2a.

Y

es

N

o

2b

.

Y

es

N

o

2c.

Y

es

N

o

3

. K

elly

dre

w a

tri

an

gle

with

exa

ctly

2 c

on

gru

en

t si

des

an

d

3 a

cu

te a

ng

les.

Wh

ich

of

the f

ollo

win

g a

ccu

rate

ly d

esc

rib

es

the t

rian

gle

? M

ark

all

that

ap

ply

.

A

isosc

ele

s

C ob

tuse

B acu

te

D eq

uila

tera

l

SB67

Smar

ter B

alan

ced

Test

Pre

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Prac

tice

Test

SB67-SB68 Answer KeySmarter Balanced Test Prep© Houghton Mifflin Harcourt Publishing Company