Name: __________ _ EOC Review Day 2 Functions (IF, BF, LE)

BF 1. Determine an explicit expression that can be used to determine an.

_! _l l 0~ o, l ,.----+ J_ n -~ ~1Gl_h= -l 4 ' 2 ' 4 ' 4 , ... -3 + L--,>, -an =-i +(n- 1;

Lf L.f t.t BF 2. Find a(33) if the first term in the BF 3. Write an exponential function that is a sequence is 3 and the common difference reflected, decay function, shifted down? is -1

3 + (n -1)-1 ~-29 3 t (~?7 -1) -I 36

C. -36 'f... D. -30 f (ij -= - . 'L~ - 4

LE 1. What is the value of the investment in LE 2. Fred wants to invest the $1000 he 20 years for V(t) , after t years, of a $1000 received for his birthday. He finds an investment expected to appreciate by 5% investment opportunity that will earn him l 0% each year? \/ t ==IOOO ( 1 -t, 0 ;- ) io compounded monthly. How much money will

Fred have after 3 years? /000 { /-t }!2_. )3 ·/, I?-

t:r11tJS3.,0 A. $1,002.46 B. $3,597.54 @$1,348.18 D. $1 ,919.03

LE 3. Determine which is true based on the LE 5. The value of a motorcycle changes table below. according to the equation V = 5,000(l.03f,

X 1 2 3 4 5 where V = value in dollars and t = time in - t{x)_ 1 3 9 27 81 i-.3 years.

g(x) 6 15 30 51 78 V .._, \..../ In the equation, the number 5,000 tci _ t /5_17, (- +'J.,1

represents the jniti'I-\ vrtlU~f the State , ',~: .: "1 \!!!J f(JG) g(JG) motorcycle. The value of the motorcycle This function is quadratic X isincre<tSfrljt a rate of 3~9 per This function is exponential 'I-

This functional eventually year.

X exceeds the other.

J -= 7;_ -t?. P= )( e, ::1. 'f..- 3

Et:tuations (NQ, CED, REI)

REI 3. Three friends collected a total of 43 shells on the beach. Paula collected x shells. Bethany collected 3 less than twice as many shells as Paulo. Jerrell collected 2 more than half as many shells as Paula. How many shells did Paulo collect?

A. 8 shells c. 21 shells

REI 5. Solve

@12shells D. 29 shells

lOx. - 4y = 12 (-Sx. + 2y = 14)'7-

-{% -t~ = 20 + I Y.. - =- IJ. I

D = 4-0

REI 10. Graph

_,,. I .... ' ~, ,

........ -1' X p <.._ . J¥ " /

J ,, . . I'\

[No SOl\/itm]

Y = -x - l 3x-2y=-8

' '

- J.~=-3)(-0 Y=i)( -rY

REI 12 What region of the graph would satisfy the following system?

y~x+3

3 Y >--x-2 - 2

C

t-- + 3 X = L.Jt..f-;:z.

3_; 'i-:: '-14 y_ :: 1z .s7

REI 4. Solve ~ + = ~ Y completing the square. y,.7- -t ~i +~ -;. A +

"i = 3'-~?) ;,_ 411

'J,-\3 := ± ftl

'1,.,-=--~±w REI 6. The perimeter of a rectangle is 188 meters. The width is 2 meters shorter than triple the length. Find the area of the rectangle. 1J+'Z.W =llb<b 2J-tJ/ gJ-2)= l'olo

vJ '"" 2, )- J-. 2 J i lo~ - Y = 1<o ::- 3 { 2 Y) - ;i_ lo P - 4 "" I 'o1r> W-=10 B..P=1t-t2.

A-=JW J-==j,i, ·

REI 11. The graphs of linear functions f and g are shown.

What is the solution to the equation f(x) = g(x)?

-3

REl 1. What is the reasoning for step three? (3 + 9)(7x - 4) = 361 . Given 12(7x - 4) = 36 2. Simplify by Combining Like Terms 7x - 4 = 3 3. 7:e = 7 x =l

4 . Addition Property of Equality 5. Division Property of Equality

PW\ s \'on ro of

Expressions (RN, SSE, APR)

SSE 1. 12x3 + 16x + 4 SSE 2. Factor 25p2 -9

How many terms: 3 (S p -t 3)(5 p-3)

What are the coefficients: 1'2- I lP

What are the factors: n,, I i \ . l\o t )(

Nam e the .§fy-en polynomial: r.\J ~ff1 (nom ra, I

SSE 3. Solve l 4x2 +80x-24=0 APR 1. Simplify (6x2 - 1) + (x2 + 3) - 2(x2 - 5) - 15x2 -00"! ,[(p 400-4{ 14)(-24) lPX2-=J. ~ -t-7@-+..!_E - 15-;.: 7-(1 4-) \_--I

-?J O± to<o -\ ( - ~ f-2. - 2 'I. + It-- J - (o0+~ T1 4'-f ::::

7-<b 1-.<o [ 2/7 '-{p

(

STAT (ID)

ID6 ID 7. At a national park in Wyoming, there CarSales was already 84 inches of snow on the ground. 100

Then, snow fell during a snowstorm at a rate

I" . 7 • of 1.5 inches per hour for 12 hours. A park •

. . • • ranger created a linear model to relate the -.' number of inches of snow on the ground, y, !. 60 - . .... -v / . - and the number of hours since the snowstorm § 40 I began, x. '5 • I

J 20 , What Is the Interpretation of the slope and y-11 -intercept of this II near mo~{J , . C/J t.t }

0 2 4 a a 10 Mar1<etlng Budget c; \otJi: \.SJ y,nt-

(In ttlousands of dollars) c.;now w, I\ fq,1 I mnovn-r of rnow Write a linear equation that BEST in fn. ~tr hour Q.\re<.tci'I on floo r-represents the data.

j = ~i t 3:f ID 8. Data shows the number of hours ID 9. A store owner plotted the sales of three people spend at the mall and the amount of different items over the past six weeks in order money they spend. If this has a strong linear to determine if any relationship exists association, what is the value of the between the sales of these items. The owner correlation coefficient. (Round your answer to will then use this information to estimate sales the nearest hundredth.) during the next week. These sales are shown

Hours Dollars below. 1.0 8 1r .<co ) Week 1 2 I 3 1 4 5 6 2.0 12 Refrigerators 36 38 i 42 45 I 46 50

2.5 20 Televisions 83 94 I 102 110 12s I 130 DVD Players 21 23 j 27 29 31 I 34 3.0 24

~ F) There is a correlation between 3.5 25 re~rators and televisions. 4.0 28 (T F elevision and DVD Players only has a 4.5 80 cJlation relationship. ( C, q,, VS q, 11 0 h) 5.0 50 (T There is no correlation between DVD

players and Refriqerators. I \nGre~ se,)