1-1 Skills Practice · 2019-11-25 · Pdf Pass NAME DATE Skills Practice Write a function and make...

42
NAME DATE Skills Practice Write the opposite of each number. 1 -3 4 8 2 2 5 -5 3 7 6 4 Graph the integers on a number line. Then write them in order from least to greatest. 7 -2, 1, 5, -4, -3 0 -1 -2 -3 -4 -5 1 2 3 4 5 9 3, -1, 1, 4, -4 0 -1 -2 -3 -4 -5 1 2 3 4 5 11 -1, 4, -5, -2, 3 0 -1 -2 -3 -4 -5 1 2 3 4 5 8 -3, -2, 1, -1, 3 0 -1 -2 -3 -4 -5 1 2 3 4 5 10 1, -2, 3, -4, 4 0 -1 -2 -3 -4 -5 1 2 3 4 5 12 -4, -1, 2, -2, -3 0 -1 -2 -3 -4 -5 1 2 3 4 5 Write <, =, or > in each circle to make a true statement. 13 3 -4 0 -1 -2 -3 -4 -5 1 2 3 4 5 15 -2 2 0 -1 -2 -3 -4 -5 1 2 3 4 5 17 4 -5 0 -1 -2 -3 -4 -5 1 2 3 4 5 14 -2 -7 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 16 5 -1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 1 2 3 4 5 6 7 8 9 10 18 -1 -1 0 -1 -2 -3 -4 -5 -6 -7 -8 - 9 -10 1 2 3 4 5 6 7 8 9 10 Lesson 1-1 Math Triumphs Lesson 1-1 A5 Chapter 1 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Transcript of 1-1 Skills Practice · 2019-11-25 · Pdf Pass NAME DATE Skills Practice Write a function and make...

Page 1: 1-1 Skills Practice · 2019-11-25 · Pdf Pass NAME DATE Skills Practice Write a function and make a function table. 5 TRAVEL Adina can paddle a canoe in still water at an average

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Skills Practice

Write the opposite of each number.

1 -3

4 8

2 2

5 -5

3 7

6 4

Graph the integers on a number line. Then write them in order from least to greatest.

7 -2, 1, 5, -4, -3

0-1-2-3-4-5 1 2 3 4 5

9 3, -1, 1, 4, -4

0-1-2-3-4-5 1 2 3 4 5

11 -1, 4, -5, -2, 3

0-1-2-3-4-5 1 2 3 4 5

8 -3, -2, 1, -1, 3

0-1-2-3-4-5 1 2 3 4 5

10 1, -2, 3, -4, 4

0-1-2-3-4-5 1 2 3 4 5

12 -4, -1, 2, -2, -3

0-1-2-3-4-5 1 2 3 4 5

Write <, =, or > in each circle to make a true statement.

13 3 -4

0-1-2-3-4-5 1 2 3 4 5

15 -2 2

0-1-2-3-4-5 1 2 3 4 5

17 4 -5

0-1-2-3-4-5 1 2 3 4 5

14 -2 -7

0-1-2-3-4-5-6-7-8-9-10

16 5 -1

0-1-2-3-4-5-6-7-8-9-10 1 2 3 4 5 6 7 8 9 10

18 -1 -1

0-1-2-3-4-5-6-7-8-9-10 1 2 3 4 5 6 7 8 9 10

Lesson

1-1

Math Triumphs Lesson 1-1 A5

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Skills Practice

What is the opposite of each number? Write an addition sentence to show

the Inverse Property of Addition.

1 -1

3 9

5 6

7 -12

2 -2

4 10

6 -7

8 8

Find each sum. Use the number line.

9 4 + (-2) =

0-1-2-3-4-5 1 2 3 4 5

11 2 + (-7) =

0-1-2-3-4-5 1 2 3 4 5

13 -3 + (-3) =

0-1-2-3-4-5-6-7-8-9-10

15 -5 + 2 =

0-1-2-3-4-5-6-7-8-9-10

10 -1 + (-3) =

0-1-2-3-4-5 1 2 3 4 5

12 2 + (-3) =

0-1-2-3-4-5 1 2 3 4 5

14 -2 + 2 =

0-1-2-3-4-5 1 2 3 4 5

16 1 + (-3) =

0-1-2-3-4-5 1 2 3 4 5

Find each sum.

17 2 + (-5) =

19 -1 + (-4) =

21 -1 + 5 =

23 2 + (-2) =

18 4 + (-4) =

20 -4 + 0 =

22 -2 + (-8) =

24 1 + (-3) =

Lesson

1-2

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Math Triumphs Lesson 1-2 A9

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Find each absolute value.

1 | 8 | =

3 | -4 | =

5 | 15 | =

7 | -11 | =

9 | -7 | =

2 | 2 | =

4 | -6 | =

6 | 9 | =

8 | -1 | =

10 | 14 | =

Find each difference. Use the number line.

11 3 - (-4) =

0-2-4-6-8-10 2 4 6 8 10

13 -2 - 1 =

10-1-2-3-4-5 2 3 4 5

15 -7 - (-3) =

0-2-4-6-8-10 2 4 6 8 10

12 8 - 9 =

0-2-4-6-8-10 2 4 6 8 10

14 -4 - (-2) =

10-1-2-3-4-5-6 2 3 4 5 6

16 -9 - (-3) =

0-2-4-6-8-10 2 4 6 8 10

Find each difference.

17 -5 - (-6) =

19 10 - (-3) =

21 -8 - 4 =

23 2 - (-3) =

25 7 - 11 =

18 -4 - (-7) =

20 -1 - 6 =

22 3 - (-3) =

24 -9 - (-7) =

26 1 - 9 =

Lesson

1-3

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Math Triumphs Lesson 1-3 A13

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10 -7 · 3 =

12 5 · (-5) =

14 -6 · 4 =

16 -7 · (-8) =

18 9 · 5 =

11 -10 · 2 =

13 -8 · (-8) =

15 2 · (-9) =

17 12 · 3 =

19 -4 · 11 =

Find each product.

Find the missing number. Name the multiplication property.

1 -8 · 3 = 3 ·

2 -8(9 + 7) = (-8 · ) + (-8 · 7)

3 -8 · = -8

4 (-8 · 5) · (-4) = -8 · ( · (-4))

5 -8 · = 0

Find each product. Use a number line.

6 3 · (-6) =

0-2-4-6-8-10-12-14-16-18-20

8 2 · (-8) =

0-2-4-6-8-10-12-14-16-18-20

7 4 · (-3) =

0-2-4-6-8-10-12-14-16-18-20

9 2 · (-5) =

0-2-4-6-8-10-12-14-16-18-20

Lesson

1-4

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Math Triumphs Lesson 1-4 A17

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1 10 ÷ (-1) 2 10 ÷ 1

3 -10 ÷ (-1) 4 -10 ÷ 1

5 14 ÷ (-2) 6 49

___ 7

7 -55 ÷ (-11) 8 28

___ -4

9 15 ÷ (-3) 10 -36 ÷ (-6)

11 -9

___ 3 12 81 ÷ (-9)

13 56 ÷ 7 14 -42 ÷ (-6)

15 100 ÷ (-25) 16 60 ÷ 5

17 -36 ÷ 4 18 -16

____ -4

19 0 ÷ (-8) 20 75 ÷ 5

Find each quotient.

Lesson

1-5

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Math Triumphs Lesson 1-5 A21

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Find a rule for each pattern.

1 10, 20, 30, 40

2 100, 85, 70, 55

3 1600, 400, 100, 25

4 25, 50, 100, 200

5 12, 17, 22, 27

In each sequence, find a rule. Then write the next three terms.

6 11, 21, 31, 41

Rule:

Next terms: , ,

7 2,400,000; 240,000; 24,000

Rule:

Next terms: , ,

8 62, 74, 86, 98

Rule:

Next terms: , ,

9 6, 18, 54, 162

Rule:

Next terms: , ,

Write the next three conversions in each pattern.

10 Number of Quarts 1 2 3 4Number of Pints 2

11 Number of Years 1 2 3 4Number of Months 12

12 Number of Yards 1 2 3 4Number of Inches 36

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A28 Lesson 2-1 Math Triumphs

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Skills Practice

Write a function and make a function table.

5 TRAVEL Adina can paddle a canoe in still water at an average

speed of 4 miles per hour. Let y = miles traveled and x = number

of hours.

y =

Number of Hours, x 1 2 3 4 5Miles Traveled, y

If Adina canoed for 4 hours, how many miles did Adina canoe?

6 FITNESS Kyle began exercising for 25 minutes each day. Each

week, he increased the time of his workout by 5 minutes. Let

y = length of workout in minutes and x = number of weeks.

y =

Number of Weeks, x 1 2 3 4 5 6Length of Workout, y

What is the length of Kyle’s daily workout after 6 weeks?

7 BABYSITTING Each Saturday evening, Jaylynn drives across town

to babysit for a family with two children. She is paid $5 per hour

plus $6 for gas. Let y = amount of money she receives and let

x = number of hours she babysits.

y =

Number of Hours Babysitting, x 2 3 4 5 6Amount of Money Made, y

Jaylynn babysat for 5 hours. How much money did she receive?

Write a function to represent each situation.

1 Chad completed the race in half the time Jared did.

2 Flor is 2 years younger than Hector.

3 Each dining room table comes with 6 chairs.

4 Amanda has $10 more than Meagan.

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A32 Lesson 2-2 Math Triumphs

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Skills Practice

Name the ordered pair for each point.

1 A

2 B

3 C

4 D

5 E

6 F

7 G

8 H

9 I

10 J

Graph the ordered pairs.

11 Graph the ordered pairs K (3, 1) and L (3, 4).

Then connect the points.

(3, 1) and (3, 4) are on a line parallel to the y-axis because

they have the same -coordinates.

12 Graph the ordered pairs M (1, 4) and N (–3, 4).

Then connect the points.

(1, 4) and (-3, 4) are on a line parallel to the x-axis because

they have the same -coordinates.

13 Graph the ordered pairs:

P (-2, -5) Q (-2, 0)

R (3, 1) S (-5, 2)

T (3, -2) U (-4, -3)

y

xO 1 2 3 4 5

45

321

-2-3-4-5

-2-1-3-4-5

A

C

B D

E

y

xO 1 2 3 4 5

45

321

-2-3-4-5

-2-1-3-4-5

I J

G

FH

y

xO 1 2 3 4 5

45

321

-2-3-4-5

-2-1-3-4-5

y

xO 1 2 3 4 5

45

321

-2-3-4-5

-2-1-3-4-5

y

xO 1 2 3 4 5

45

321

-2-3-4-5

-2-1-3-4-5

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A36 Lesson 2-3 Math Triumphs

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Skills Practice

Make a table for each equation.

1 y = x - 3

2 y = x __ 2 + 3

Graph each equation.

3 Graph the equation from Exercise 1. 4 Graph the equation from Exercise 2.

5 Graph y = - x __ 2 + 1. 6 Graph y = -2x + 1.

y

xO 1 2 3 4 5

45

321

-2-3-4-5

-2-1-3-4-5

y

xO 1 2 3 4 5

45

321

-2-3-4-5

-2-1-3-4-5

y

xO 1 2 3 4 5

45

321

-2-3-4-5

-2-1-3-4-5

y

xO 1 2 3 4 5

45

321

-2-3-4-5

-2-1-3-4-5

x x - 3 yOrdered

Pair

-2

-1

0

1

2

x x _

2 + 3 y

Ordered

Pair

-4

-2

0

2

4

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A40 Lesson 2-4 Math Triumphs

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Skills Practice

Write a function, make a function table, and make a graph.

Is the function linear or nonlinear?

1 INTERIOR DESIGN Kaneesha is putting decorative

tiles on the wall above her kitchen sink. The

number of tiles is three times the square of the

height (in decimeters) of the wall where the tile

will go.

y =

Height (in decimeters), x 3 4 5 6 7Number of Tiles, y

How many tiles are needed for a space with a height of 5 decimeters?

The function is .

2 y = xfunction

table

graph

3 y = 3x - 2function

table

graph

4 y = -2x + 1function

table

graph

5 y = x2

function

table

graph

Match each function with its function table and its graph.

y

xO 1 2 3 4 5

45

321

-2-3-4-5

-2-1-3-4-5

y

xO 1 2 3 4 5

45

321

-2-3-4-5

-2-1-3-4-5

y

xO 1 2 3 4 5

45

321

-2-3-4-5

-2-1-3-4-5

y

xO 1 2 3 4 5

45

321

-2-3-4-5

-2-1-3-4-5

x -2 -1 0 1 2

y -8 -5 -2 1 4

x -2 -1 0 1 2

y 4 1 0 1 4

I II III IV

x -2 -1 0 1 2

y -2 -1 0 1 2

x -2 -1 0 1 2

y 5 3 1 -1 -3

Lesson

2-5

A

C

B

D

y

xO 1 2 3 4 5

45

321

-2-3-4-5

-2-1-3-4-5

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A44 Lesson 2-5 Math Triumphs

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Skills PracticeLesson

3-1

Name the step that should be performed first in each expression.

1 8 · 6 ÷ (4 + 2) - 42

3 5 ÷ 1 - 3 + 2 · 6

5 6 + 12

______ 11 - 2

+ 7 · 3

2 3 · 6 + 32 + 9 ÷ 3

4 9 - 2 + (12 · 6) + 9

6 10 ÷ 2 · (5 - 1) + 4

Find the value of each expression.

7 4 · (2 + 6) - 30 + 42 = 4 · - 30 + 42

= 4 · - 30 +

= - 30 +

= +

=

8 9 + 7 · 2 - 32 + (1 · 8) = 9 + 7 · 2 - 32 +

= 9 + 7 · 2 - +

= 9 + - +

= - +

=

9 7 - 4 ÷ 2 + 52

12 10 - (12 ÷ 3) + 2 · 5

10 12 ÷ 4 · 23 - (3 + 2)

13 20 - 6 · 3 ÷ (7 - 5)

11 14 · 2 ÷ (8 - 4) + 9

14 7 ÷ (5 - 4)3 + 3 · 2

PDF Pass Crx

Math Triumphs Lesson 3-1 A51

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Skills PracticeLesson

3-2

Evaluate each expression when Δ = 4 and � = 5.

1 3 · � + 20 - (6 - 2) + Δ

Replace symbols with values:

Value of the expression:

2 � · 20 - �2 + 10 - (Δ + 2)

Replace symbols with values:

Value of the expression:

3 (Δ · 7 - �2) ÷ 3

Replace symbols with values:

Value of the expression:

Evaluate each expression when □ = 8.

4 21 + □

6 5 · □

8 □ ÷ 2

10 2 · □ + 17

12 80 - 3 · □ + 5

5 64 ÷ □

7 □ + 14

9 36 - □

11 56 - 4 · □

13 3 · □ + 24 ÷ □

Evaluate each expression when a = 3 and b = 4.

14 8a + b2 - (55 ÷ 5)

16 (18 + 7) + 12 · (5 - b)

18 12 - b ÷ 2 + (b + 5)2

20 (55 - 10a) ÷ 5 + 42

22 10 - 5 + 12 - b + 9 · 7

15 21 - b + 6 - a2

17 10b + 52 - (16 - 7)

19 9b ÷ 6 + 15 + (a · b)2

21 b + 42 - (a · b) + a2

23 14 + a2 · 7 - 6 + (b ÷ 2) - 8

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Math Triumphs Lesson 3-2 A55

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Skills PracticeLesson

3-3

Find the value of each variable in each equation.

3 □ + 12 = 19

□ =

4 8 · r = 24

r =

Find the value of each variable by modeling the equation.

1 3 + □ = 8

□ =

2 15 – n = 9

n =

5 y __

3 = 5

y =

6 20 - a = 14

a =

7 b · 20 = 100

b =

8 7 + □ = 32

□ =

9 t - 14 = 16

t =

10 □

__ 5 = 8

□ =

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Math Triumphs Lesson 3-3 A59

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Skills PracticeLesson

3-4

Find the value of m, when p = 18 and t = 6.

1 p = m + t 2 t = m - p

m = m =

3 t = p + m 4 p = m · t

m = m =

Use the formula A = � · w to solve for �, length.

5 The area of the rectangle is 36 square feet.

Its width is 3 feet. What is the length of

the rectangle?

� =

6 The area of the rectangle is 18 square

meters. Its width is 2 meters. What is

the length of the rectangle?

� =

Use the formula A = � · w to solve for w, width.

7 The area of the rectangle is 48 square

meters. Its length is 12 meters. What is

the width of the rectangle?

w =

8 The area of the rectangle is 72 square feet.

Its length is 9 feet. What is the width of

the rectangle?

w =

Use the formula d = r · t to solve for r, rate.

9 Melissa traveled 86 miles in 2 hours. What

was her rate of speed?

r =

10 Jeremy traveled 168 miles in 3 hours. What

was his rate of speed?

r =

Chapte

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Math Triumphs Lesson 3-4 A63

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4-1

Draw an angle with the given measurement.

1 40° 2 115°

3 180° 4 60°

Measure and identify each angle.

5 ∠ABC measures . ∠ABC is a(n) angle.

6 ∠MOP measures . ∠MOP is a(n) angle.

7 ∠XYZ measures . ∠XYZ is a(n) angle.

8 ∠NUT measures . ∠NUT is a(n) angle.

Skills Practice

A70 Lesson 4-1 Math Triumphs

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Skills PracticeLesson

4-2

Identify each angle as acute, obtuse, right, or straight.

1 117° 2 90°

3 3° 4 180°

5 164° 6 48°

Classify each triangle by the lengths of its sides.

7

4 in.

6 in.

6 in.

8

5 m9 m

11 m

9

4 m

4 m

4 m

10

3 ft5 ft

4 ft

Classify each triangle by the measures of its angles.

11

80°

20°

80°

12 60° 90°

30°

13

50° 60°

70°

14

25° 125°

30°

Classify each triangle by the measures of its angles and the lengths of its sides.

15

7 in.

7 in.9.9 in.

90°

45°

45°

16

2 m2 m

2 m60°

60°

60°

17

30°

130°20°

9 m

6 m

12 m

18 5 cm

8 cm

8 cm

72°

72°

36°

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A74 Lesson 4-2 Math Triumphs

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Skills PracticeLesson

4-3

Find the measure of each missing angle.

1

35°

?

2

122° ?

3

109°?

4

I

H

J

G18°

?

Sketch each type of angle given.

5 Sketch supplementary angles 6 Sketch complementary angles

when one angle’s measure is 40°. when one angle’s measure is 10°.

Find the measure of each missing angle.

7

CA

B

90°

45°

8

L

M

N

125°

?° 20°

The measure of the missing The measure of the missing

angle is . angle is .

9 D

E

G F

42°

100°

85° ?°

10 W X

Z Y

125°

60°100°

The measure of the missing The measure of the missing

angle is . angle is .

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A78 Lesson 4-3 Math Triumphs

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Skills PracticeLesson

4-4

Identify the measure of each angle indicated.

1 2

m∠R = 25°, so m∠T = m∠W = 148°, so m∠Y =

3 4

m∠B = 45°, so m∠C = m∠K = 87°, so m∠J =

Name the alternate interior angles.

5 6

Name the alternate exterior angles.

7 8

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A82 Lesson 4-4 Math Triumphs

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Skills PracticeLesson

5-1

G B

B

B

B

B

BG

Y

GY

R

RR

RRR

R

R

Y

G

Use the diagram to write each ratio as a

fraction in simplest form.

1 the number of yellow

marbles to the number

of red marbles

2 the number of black

marbles to the number

of green marbles

3 the number of green

marbles to the number

of red marbles

4 the number of red marbles to the number of black marbles

Write each ratio as a fraction in simplest form.

5 In a computer lab there are 15 desktop computers, 7 laptop

computers, and 5 printers. Write the ratio of printers to computers.

6 A tray of muffins contains 6 chocolate chip muffins, 3 blueberry

muffins, 4 pumpkin muffins, and 2 corn muffins. Write the ratio of

corn muffins to chocolate chip muffins.

7 Rebecca had 7 aces out of 10 serves in her volleyball game. Write the

ratio of aces to serves.

8 There were 8 cars and 3 buses in the parking lot. Write the ratio of

cars to the total number of vehicles.

9 In a classroom there are 15 boys and 13 girls. Write the ratio of boys

to the total number of students.

10 Write the ratio of the length

of the base to the height of

the triangle as a fraction in

simplest form.

base = 4 m

height = 2 m

Math Triumphs Lesson 5-1 A89

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A085_A103_MTCRMG8C5_888224.indd A89A085_A103_MTCRMG8C5_888224.indd A89 8/13/08 9:58:27 AM8/13/08 9:58:27 AM

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Skills PracticeLesson

5-2

Write each rate as a fraction. Find each unit rate.

1 6 bottles of water

$3.00

3 250 envelopes in 10 minutes

2 4 apples

$1.20

4 15 pages in 45 minutes

Find each unit rate. Use the unit rate to find the unknown amount.

5 125 miles for 2 hours; miles for 5 hours

6 64 ounces for 8 people; ounces for 30 people

7 250 inches in 5 seconds; inches in 12 seconds

8 $65 for 4 CDs; for 7 CDs

Which product has the lower unit cost?

9 a 40-oz bag of dog food for $6.80 or a 24-oz bag of dog food for $3.60

10 1 pound of pears for $0.99 or 5 pounds of pears for $4.60

11 a 16-oz box of cereal for $4.32 or a 12-oz box of cereal for $3.00

12 a pack of 6 pens for $4.74 or a pack of 15 pens for $12.75

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Math Triumphs Lesson 5-2 A93

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5-3

1 14 ___ 2 7 __

1

5 3 __

9 21 ___

42

2 3 __

4

9 ___

16

6 14 ___ 16

49

___ 56

3 3 __

8 12 ___

32

7 10

___ 12

20

___ 24

4 2 __ 5 12 ___

45

8 15

___ 21

35

___ 48

Determine whether each pair of ratios is proportional. Write = or ≠ in

each circle.

Solve each proportion.

9 3 __

9 = l ___

21 l =

11 7 ___ 10

= 35

___ r r =

13 4 __ n = 12 ___ 18

n =

15 8 __

2 = t __

4 t =

17 b ___ 11

= 28

___ 44

b =

10 9 ___

12 =

x ___ 28

x =

12 6 ___

15 =

10 ___

k k =

14 10

___ m = 15

___ 18

m =

16 y __

5 =

28 ___

70 y =

18 6 ___

14 =

15 ___ a a =

Solve.

19 Twenty-eight cups of sugar are required for 14 cakes. How many

cakes require 12 cups of sugar?

20 Eighty flowers make 8 bouquets. How many flowers make

11 bouquets?

21 Fifty-six buttons are used on 8 sweaters. How many sweaters use

63 buttons?

22 Fifty-four balloons are in 3 bags. How many bags have

126 balloons?

23 Seventy-five erasers are in 5 boxes. How many boxes have

120 erasers?

24 Eighty-one books are on 9 shelves. How many shelves hold

36 books?

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Math Triumphs Lesson 5-3 A97

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Skills PracticeLesson

5-4

1 x =

6

4

8

x

3 x =

x 10

26

5

5 x =

5

4 14

x

2 x =

x

8 9

6

4 x =

x 11

53

6 x =

Find the value of x in each pair of similar figures.

Use a proportion to solve.

7 Mary bought 3 cans of green beans for $1.20. What would it cost her

to buy 7 cans of green beans?

8 Mr. Garcia drove 186 miles in 3 hours. At this rate, how long would

it take him to travel 465 miles?

9 Amir sells handmade leather bracelets in packages of 3 for $25.00.

A school fundraising group contacted him about making 75 bracelets

for their members to sell. How much should he charge for 75 bracelets

in order for the unit cost to be the same?

10 Kaitlin met with 5 clients in 2 1 __ 2 hours at her investment agency this

morning. At this rate, how many clients can she meet with in 4 hours

this afternoon?

28

8

10

x

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Math Triumphs Lesson 5-4 A101

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6-1 Skills Practice

Write an equation using exponents to represent each model.

1 2

3 4

Evaluate each expression.

5 112 base:

exponent:

112 = · =

6 92 7 12

8 72 9 22

10 52 11 102

12 42 13 122

14 32 15 62

A108 Lesson 6-1 Math Triumphs

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Skills PracticeLesson

6-2

Find the positive square root using an area model.

1

√ � 49 =

3

√ � 81 =

2

√ � 16 =

4

√ � 9 =

Find the positive square root of each number.

5 121

Write the expression.

Name the factor pairs.

Replace 121 with the set of identical factor pairs.

√ �� 121 =

6 64

Write the expression.

Name the factor pairs.

Replace 64 with the set of identical factor pairs.

√ � 64 =

7 1

Write the expression.

Name the factor pairs.

Replace 1 with the set of identical factor pairs.

√ � 1 =

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A112 Lesson 6-2 Math Triumphs

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Skills PracticeLesson

6-3

Write an inequality using common square roots.

1 √ ����

< √ � 39 < √ ����

3 √ ����

< √ � 7 < √ ����

5 √ ����

< √ � 72 < √ ����

2 √ ����

< √ �� 130 < √ ����

4 √ ����

< √ �� 190 < √ ����

6 √ ����

< √ � 23 < √ ����

Estimate each square root to the nearest whole number. Plot each

value on a number line.

7 √ � 66 is close to the whole number

.

9 √ � 28 is close to the whole number

.

8 √ �� 116 is close to the whole number

.

10 √ � 3 is close to the whole number

.

Choose a reasonable estimate for each square root.

11 √ �� 140

10.6 11.8 12.2

13 √ �� 220

14.8 15.2 15.8

15 √ � 46

6.4 6.8 7.2

12 √ � 14

3.1 3.4 3.7

14 √ � 58

6.8 7.2 7.6

16 √ � 97

9.8 10.3 10.8

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A116 Lesson 6-3 Math Triumphs

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Skills PracticeLesson

6-4

Find the length of the hypotenuse of the right triangle.

1 5

12

c 2

15

8

c

c = units c = units

3 7

24

c 4 15

20

c

c = units c = units

5 4.5

6

c 6 3

4

c

c = units c = units

Find the length of the leg of each right triangle.

7 10

26

b

8 14 50

b

b = units b = units

9 16

34

b

10 10.5

17.5

b

b = units b = units

Determine if each triangle is a right triangle, using the Pythagorean Theorem.

11

15 9

12

12

1

3

2

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A120 Lesson 6-4 Math Triumphs

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Skills PracticeLesson

6-5

Find the slope of each line.

1 The rise is units.

2 The run is units.

3 The slope is .

4 rise

____ run = _

y

x

-2-3-4

-2-3-4 21 43

1234

(2, 2)

(-2, -1)

5 y

x

-2-3-4

-2-3-4 21 43

1234

(0, 0)

(1, -3)

(-1, 3)

rise

____ run = _ =

6 y

x

-2-3-4

-2-3-4 21 43

1234

(3, -3)

(-2, 3)

rise

____ run = _ =

Graph another point on each line, given one point on the line and the slope.

7 y

x

12345678

1 2 3 4 5 6 7 8

(2, 1)

The slope is 1 __

5 .

9 y

x

12345678

1 2 3 4 5 6 7 8

(2, 3)

The slope is 4.

8 y

x

12345678

1 2 3 4 5 6 7 8

(3, 4)

The slope is - 3 __

2 .

10 y

x

12345678

1 2 3 4 5 6 7 8 9

(5, 3)

The slope is 3 __

4 .

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A124 Lesson 6-5 Math Triumphs

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Skills PracticeLesson

6-6

Graph each equation and determine its slope.

1 y = 1 __

2 x + 3

x -4 0 4y

The slope is .

2 y = -3x

x -1 0 1y

The slope is .

3 y = - 3 __

4 x - 2

x -4 0 4y

The slope is .

4 y = 4x

x -1 0 1y

The slope is .

y

xO 1 2 3 4 5-1-3-5

-2-3-4-5

45

321

y

xO 1 2 3 4 5

45

321

-2-3-4-5

-1-3-5

y

xO 1 2 3 4 5

45

321

-2-3-4-5

-1-3-5

y

x

-2-3-4-5

-2-3-4-5 21 4 53

12345

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A128 Lesson 6-6 Math Triumphs

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Skills PracticeLesson

7-1

Sort the numbers into each category.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

1 whole number factors of 18: 2 prime numbers:

3 both: 4 neither:

5 Create a Venn diagram to sort the numbers. Classify them as multiples of 10

or multiples of 25.

20, 25, 30, 35, 40, 50, 75, 80, 85, 100

Multiples of 10 Multiples of 25 Neither

6 Create a Venn diagram to sort the numbers. Classify them as composite

numbers or odd numbers.

0, 4, 6, 9, 11, 13, 17, 21, 31, 40

Composite Numbers Odd Numbers Neither

Composite Numbers Odd Numbers

Math Triumphs Lesson 7-1 A135

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Skills PracticeLesson

7-2

Find the mode for each given set of data.

1 1, 2, 0, 1, 2, 0, 1

3 3, 0, 0, 1, 2

2 7, 3, 5, 2, 4, 3, 6, 10, 0

4 9, 3, 2, 5, 6, 3, 3, 7, 15

Find the median for each given set of data.

5 Henry asked seven people what the last digit in their telephone

number is.

2, 5, 9, 9, 7, 4, 3

Arrange the numbers in order: , , , , , ,

The median is .

6 Christina asked five people how tall they were, in inches.

54, 63, 62, 48, 68

Arrange the numbers in order: , , , ,

The median is .

7 Nathan recorded the low temperatures for each day one week.

34, 32, 41, 29, 42, 32, 50

Arrange the numbers in order: , , , , , ,

The median is .

Find the range for each given set of data.

8 2, 5, 9, 9, 7, 4, 3

The range of digits in Exercise 5 is - = .

9 54, 63, 62, 48, 68

The range of heights in Exercise 6 is - = .

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Math Triumphs Lesson 7-2 A139

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7-3

1 16, 11, 15, 4

+ + + =

÷ =

The mean is .

Find the mean of each data set.

2 16, 24, 32, 18, 10

4 2.2, 3.5, 5, 4.1, 5.2

3 65, 42, 38, 27

5 34, 28, 30, 26, 22

6 12, 8, 5, 7, 9, 4

8 9, 2, 1, 7, 17, 8

7 8.3, 3.6, 9.4, 3.9

9 48, 59, 72, 66

10 Mean: 7 Data set: 5, 11, 2,

12 Mean: 59 Data set: 56, 63,

11 Mean: 4 Data set: 4.1, 4.3, 3.9,

13 Mean: 93 Data set: 99, 84, 88, 92,

Find the mean of the data set. Convert the remainder into a fraction or a decimal.

Find one missing number from a data set when the mean is given.

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Skills PracticeLesson

7-4

Use the bar graph “My Classmates’ Favorite Type of Book”

to compare data.

1 How many students chose Mystery as their favorite

type of book?

2 How many chose Science Fiction?

3 How many chose Biography?

4 How many more students prefer Mysteries

than Classic Novels?

Use the double-bar graph “My Classmates’ Favorite Type

of Book” to compare data.

5 How many girls chose Mystery as their favorite

type of book?

6 How many girls chose Classic Novel or

Biography?

7 How many more girls than boys chose

Classic Novels?

8 What type of book was preferred by the same

number of boys and girls?

Use the bar graph “Hours Ellen Volunteers at the Hospital”

to compare data.

9 What are the categories?

10 How many more hours does Ellen volunteer on

Saturday than on Sunday?

11 How many hours does Ellen volunteer on Monday

and Tuesday together?

12 How many total hours does Ellen volunteer during

the week?

ClassicNovel

Mystery Biography ScienceFiction

45

3

12

6

Num

ber o

f Stu

dent

s

Book Type

789

10111213

My Classmates’ FavoriteType of Book

ClassicNovel

Mystery Biography ScienceFiction

34

21

5

Num

ber o

f Stu

dent

s

Book Type

6789

Boys

Girls

Key

My Classmates’ FavoriteType of Book

Mon Tues Wed Thurs Fri Sat Sun

45

3

12

6

Hour

s

Day of the Week

789

Hours EllenVolunteers at the Hospital

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Skills PracticeLesson

7-5

Use the data in the table to plan a bar graph.

The table shows the method students used to get to school.

1 What is a good title for the graph?

2 What are the two main categories?

3 What interval could be used for the scale?

4 What will the height of each bar represent?

Use the data in the table to create a bar graph.

5 The table shows the color of each mouse at Cassie’s Pet Store.

Mice at Cassie’s Pet Store

Color Number

White 10

Gray 8

Black 6

Brown 12

Use the data in the table to create a double-bar graph.

6 The table shows the number of fundraising items sold by

the students in each grade.

Items Sold in Fundraiser

Item By Grade 7 By Grade 8

Candles 17 24

Gift Wrap 30 20

Candy 16 22

Nuts 12 15

Method of Getting to School

Method Number of Students

Car 36

Bus 44

Walk 24

Bike 18

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Math Triumphs Lesson 7-5 A151

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Skills PracticeLesson

7-6

Use the line graph “Jennifer’s Savings” to compare data.

1 About how many dollars did Jennifer save in January?

2 In which month did Jennifer save the most?

3 What is the interval of the scale?

4 For the months shown, in which month did Jennifer

save the least?

Use the double-line graph “Ice Cream Sales” to compare data.

5 In which month were more cones sold than shakes?

6 In which month is there the greatest difference

between the number of cones and number of

shakes sold?

7 In which month were the fewest number of

shakes sold?

8 Which month had the fewest number of sales combined?

9 What is the trend of shakes sold from May through July?

10 Describe the general trend of the graphs.

250300

Num

ber o

f Dol

lars

350400450500550600

0

Jan

SeptFeb

Mar Apr

May

JuneJuly

Aug

Month

Jennifer’s Savings

302010

405060

Sale

s Do

llars

(in

thou

sand

s)708090

100

0

May

June July

Aug

Sept

Month

Ice Cream Sales

Cones

Shakes

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Math Triumphs Lesson 7-6 A155

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Skills Practice

Use the data in the table to plan a line graph.

1 What is a good title for the graph?

2 What are the two main categories?

3 What interval could be used for the scale?

4 Describe the trend of the data. Does the percent of students increase,

decrease, or stay the same over time?

5 Use the data in the table to create a line graph.

Car Wash Fundraiser

Time Money Collected

8 A.M. $150

10 A.M. $70

12 P.M. $230

2 P.M. $120

6 Use the data in the table to create a double-line graph.

Work Schedule

MonthHours Worked

Rob Irena

March 28 17

April 26 16

May 23 12

June 22 10

Lesson

7-7

Digital Camera Ownership

Year Percent of Students

2005 7

2006 16

2007 21

2008 27

2009 32

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Math Triumphs Lesson 7-7 A159

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NAME DATE

Skills PracticeLesson

8-1

Identify each percent that is modeled.

1

2

3

fraction:

fraction with a denominator of 100:

· _______ · = ____

100

decimal:

percent:

4

fraction:

fraction with a denominator of 100:

· _______ · = ____

100

decimal:

percent:

Find the missing value.

5 What is 25% of 36?

· =

7 What is 30% of 84?

· =

6 What is 190% of 30?

· =

8 What is 42% of 42?

· =

Solve.

9 MOVIES Mike watched 40% of the DVDs on his bookshelf.

If there were 15 DVDs on the shelf, how many did Mike watch?

10 ENTERTAINMENT Fifteen percent of the people who entered a

multi-media attraction at an amusement park yesterday chose to sit

in the stationary seating section. If 4,420 people entered the attraction,

how many sat in the stationary seating?

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A166 Lesson 8-1 Math Triumphs

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Skills PracticeLesson

8-2

1 Find the degrees needed to show a

40% sector in a circle graph.

40% = ______ 100

÷ ______ = ______

______ 1

· ______ = ________ =

2 Use combinations to find the degrees

needed to show a 45% sector in a

circle graph.

+ + =

+ + =

3

fraction:

______ · ______ = ______ 100

=

4

fraction:

______ · ______ = ______ 100

=

Name the fraction and the percent of the circle that is shaded.

7 If you know that 5% of a circle has a degree measure of 18°, how can

you use this information to find the degree measure of a 35% sector?

5

50%

50% = ______ 100

÷ ______ = ______

______ 1

· ______ = ______ =

6

20%

20% = ______ 100

÷ ______ = ______

______ 1

· ______ = ______ =

Find the degrees needed to show each sector in a circle graph.

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A170 Lesson 8-2 Math Triumphs

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Skills PracticeLesson

8-3

1 PET STORE There are 40 kittens at a pet store. The circle graph

shows the percentage of each color. Which two colors together

are the same percentage as that of the black kittens?

2 BIRDHOUSES Pat has 50 birdhouses in her backyard. The

percentage of each size of birdhouse is shown in the circle

graph. What birdhouse size does Pat have twice as many

of as compared to the number of medium birdhouses?

3 TRAVEL Mr. Leonard asked the students in his geography

class about their spring break plans. Twenty of the students

were going on vacation. Their destinations are shown in the

circle graph. How many are going to California?

4 How many more students are going to Florida than to Texas?

5 The number of students going to which two states combined is

the same as the number of students going to Texas?

6 How many of the students going on vacation are not going to

California or Hawaii?

Use the circle graph titled “Spring Break Destination” to answer the

questions below.

Multi-colored

33%

Yellow 11%

Black28%

White12%

Gray16%

ExtraLarge44%

Small22%

Medium22%

Large12%

Hawaii5%

NewYork15%

Florida50%

California10%

Texas20%

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A174 Lesson 8-3 Math Triumphs

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Skills Practice

3 Use the table in Exercise 1 to create

a circle graph.

4 Use the table in Exercise 2 to create

a circle graph.

Lesson

8-4

1 Complete the table to show the decimal value, the percent, and the

degree measure for each class president candidate.

Candidate Number of Votes Decimal Value Percent Degree Measure

Lucy 50

Emil 70

Irma 40

Dale 40

Total Check 200 1.00 100% 360°

2 COLLECTIONS Complete the table to show the decimal value, the percent,

and the degree measure for each stuffed animal in Tami’s collection.

Animal Number Decimal Value Percent Degree Measure

Bear 10

Dog 20

Rabbit 5

Tiger 5

Cat 10

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A178 Lesson 8-4 Math Triumphs

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NAME DATE

PDF 3rd

Skills PracticeLesson

9-1

Determine which ordered pair below is a solution of each equation.

(2, 12) (10, 2) (3, 9) (8, 16)

1 y = x + 6 2 y = x - 8

Complete the table for the each equation. Then find three solutions for

each equation.

3 y = 2x + 6

x 2x + 6 y (x, y)

1 2(1) + 6

2 2( ) + 6

3 2( ) + 6

4 y = 3x - 1

x 3x - 1 y (x, y)

-1 3(-1) - 1

0 3( ) - 1

1 3( ) - 1

5 y = –4x + 2

x -4x + 2 y (x, y)

0 -4( ) + 2

2 -4( ) + 2

4 -4( ) + 2

Find three solutions for each equation.

6 y = x - 7

7 y = –3x

8 y = 5x + 4

Math Triumphs Lesson 9-1 A185

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Skills PracticeLesson

9-2

Explain whether each scatter plot shows a positive, negative,

or no relationship.

1 y

x

O

12345678

15 30 45 60

Heig

ht o

f Can

dle

(in.)

Time Burning (min)

As the time increases, the height of

the candle .

Describe the relationship between the

time and the height of the candle.

2 y

x

O

123456789

10

1 2

Dist

ance

(mi)

Time Running (hr)

As the time increases, the distance

traveled .

Describe the relationship between the

time and the distance traveled.

Solve.

3 SNOWFALL At a mountain resort in the Colorado Rockies,

it has been snowing for the past six days. The table below

shows the data. Create a scatter plot to find the relationship

between the data sets.

Day 1 2 3 4 5 6Snowfall (in.) 2 3 2 4 3 5

4 SPELLING Andrea learned her spelling words, but has not

continued to practice them. The table below shows the

number of words she can still spell correctly for certain days

after her test. Create a scatter plot to find the relationship

between the data sets.

Day 1 2 3 4 5 6Number of Words

Spelled Correctly2 3 2 4 3 5

y

x

O

12345

78

6

1 2 3 4 5 7 86

Colorado Snow

y

x

O

369

1215

2124

18

761 2 3 4 5 8

Andrea’s Spelling List

PDF 3rd

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NAME DATE Lesson

9-3

Solve.

3 PETS The scatter plot at the right shows the weight and

age of a pet rabbit. Draw a line of best fit. Then describe

the slope of the line and the trend in the data.

4 Use the line of best fit for Exercise 1 to predict the

weight of the rabbit when it is 10 months old.

5 CUSTOMER SERVICE The scatter plot at the right shows

the wait time to get your phone call answered by the

appointment desk in a medical clinic at various times of

the day. Draw a line of best fit.

6 Use the line of best fit for Exercise 3 to predict the

wait time at 4 PM.

y

x

O

246

10

1416

8

12

1 2 3 4 5 6 7 8 9

Wei

ght (

ounc

es)

Age (months)

Joey’s Pet Rabbit

y

x

O

1

3

4

5

2

87A.M.

9 10 11 12P.M.

1 2 3 4 5

Wai

t Tim

e (m

in)

Time of Day

Skills Practice

Draw a line of best fit. Then describe the slope of the line and

the trend in the data.

1

1

130140150160170180190200210220230

2 3 4 5 7 8 9 10 116

Fitness Book Camp

Weeks

Wei

ght

y

x

O

2

1

1

23456789

1011

2 3 4 5 7 8 9 10 116

Weeks

y

xO

Summer Book Club

Book

s Re

ad

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Math Triumphs Lesson 9-3 A193

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