unai

m- heu

[p..35—,T

Chapter 2 Review

Pg.1-4

Pg. 5-8

Chapter 3 Review Pg. 9-11

Chapter 5 Review Pg. 13-14

Chapter 6 Review^SB.Vi'SiN^sess

Pg.15-161

Chapter 7 Review Pg. 17-18

Chapter 7&8 Review Pg. 19-20

Chapter 8&9 Review Pg. 21-22

Chapter 1-9 Review Pg. 23-26

*

-/

'.?'•̂ -:* '.

^-

,M:i^r'-..,

'•1V.

j,

^ •-,

^

:w 'v-.. • ;;..."; ••:iA"' •_ '.-:"'. -^W^'^SM"'-;?':/''''^,'•• ^-M.:'^'...::;'"i;''-'...../"

•t;

.%^.f. N,;..:':'.?,1^f.

r f

. il ?.

'fc.,';

Name Foundations Final Exam Review

ckQptemnRevieu

Define in your own words the following properties:

Additive Inverse 1^(- )^ \Aih<-r^ i^D.Jl mnC^l FX 4^rT^ bu, do^nq.-^rvf. C5ppo5<t^ ^adrl or ^jLbn-/irJ-) ^X\ 5-5 (yru-^+^

Multiplicative Inverse V\)hei^ L^)(A IDld+lpl^^C rltVl'dC tX^-H^.mJp^CCL\ -V-D cr&nc^\ ^^ 6-t o^-'-I.nT

Distributive "r^nNQ-^^ ^y^D i^o (jL ^nLL<-ri pl^ 4W. nutn<lh^'ou-h^de -vW. ^rir'ei^-^e^ To fV^e. r^TmS ^ side

Commutative_ Chcunaf. Ord-er ^ 2tl =.1-*-2

c3-2 =/Z-3

Name the properties for each step:/5T^_.3(,2x+'7)+9=4x-6

6x-t-21^-9)= 4x - 6 'TN)^^. pTT^p.6x+30 = 4x- 6- qy -^x2x+30= -6

-30 -3&2x = -36T ~Tx=-18

r.LTA-Tn

^L

A.Tn,M. Xn.

Solve the following equations:

1) 5(6+4)-6&=-24

\

g+zo@r-24- GLTr-lb.-Z(6^-2^

-^0 |~20-Jb.f-^i M.To.-1 ] -\Fbrt+tl

(\.Xn.

1

2) (2fc)- 6 fr 3&)

5to\^^+^+

iS>b

14

1^^

CLTMn {,

^°. MXn^

@

hh 51-8ch-7^(M-5c ^

18

--\'6 CLT

1-13 f^In

^ wnc^\

/TV.3) -2(0-3) =-8 ^-<'-2q^-^ u(i

-(^ ^-Dn,t±i-^Xn

-2

^ -!

/^.^..- --. ^..5) 2(^l)^3fe+5 "^{^t 0^-^7pZ\^W ^-^k |-2K

2^+-^ AXn-51 ^F^^l

What numbers are a part of the solution set? Circle all that apply. (There can be more than one)

6) -7c-\8 -11-?-^1

^t'-^0

--7

-I^(^^

a]

c) -4

x7) "1^23

4-1y

^}

^if3-5yi(1

,'a)) 3^4

X-3@>

"bD 9d) 10

2

•^ 0\^ r^o^\ nuunnV^jr^

Solve, graph, and describe each inequality:.<^\. >

8) 4(l-2t)^>

^-^-h

-•&t^-yE

/y\28 9) 4(w-2)-iv

28'-4•21-s

Nw)-X-^ -»o

3w -^i -10^

Z--5 ^Y^-<^<>-4 ^-2

All real nvjmfoerjIC^^CLH -^.

Solve, graph, and describe each compound inequality:

r

^

3v^f -^- ^^v^3 <-i—t

iW ^ -Z15

-( -2

3

4—>0

2

c

10) 7/ m+ 1 <

^1

11) 6y: -3y ^ 24-36

-^

fc-Xi; lt

^^12) 28 -I 9k

-I54qkl

c]

AU rto\ nitmbert\^S'S -^hojn c>^ ^(A-cbt -tt>"'^

u

-'5^mz-l

All na\ nu^toen qr^JfrVf\ajc\ or Q^^\ ^^Qd^5~>^0unu \. < -^'"o 1 >4-

0^—>

U^-?or4N>^ ^t- 4-(^VV^A^^—^>s

-G| -? ~'7 ^ -5

7,1 fc^^?,^^^ ^\\ r€(X\ nu^te(-5 yea-^-er-4^a^ ?>OLnd le^-^a^i^.

o^^^/vw^€>q ^ G? -i3

3

Solve each formula for the given variable

(Solve for re)13) A

2r 2

A2--^

r

15)^<3=|:•p

y-3k

(Solve for p)

-5

^-^-^ ^^^

5

14)V,D\

^ (Solve for m) 16)I

V-D - m

3+ (Solve for k)

K(^ls<iiiT^PL_^P

17) Find the three consecutive integers that have c(sum Ipf 81.\^-/

^- 3̂+F

^:^n+nt"n:^tF,j^^n^z=2^ 3n +'

2^,2^-28

I-5in ^"^'.^\ 5

n<F2<o18) Four consecutive |3ddjlntegers have afsumjsf 200. What are the integers?

l<>+^=n =^~7 pi+p+^+p+^+n+^F 2002'^A^n+2 r4tc?3rdfr=n^ =5tq^#:^n4-^> ^5^

j^4c),5i,6^

t4n + \1- --

Mn'ZT

200-12

(^4

n^-7 4

Name

rFoundations Final Exam Review

curteK^RevieuSlope Formula = i/y^ -. V ^

•X,-X. ^. v. ^i Vz1) Find the slope of the line that passes through the points (4,4) and (8,—1).

m--Vz-v, ^ -.I-4 ^Xz-x\ x-4

-(5^m

^

2) Sketch a linear equation with a pos'rtive, negative, zero and undefined slope.-po^^v^ ^e^a^nv^ -^erp

-

c

—

[±N:SE

-!-i-i-4-i-4.

11act

...i.-l

ia.

-T-

ffl"SB—I—

.U-i

m

Slope-lntercept Form:

--CH+) -4Xt! ::R:-ff. ±±fflqrr :t-i±tEE ...,J.4..U-

.i-1.-t-i -f

l±H±c &iffl4l±ti •m j

i.i-.ira ffFFRTI-t-t-1 -n-s7

XJ

L

M^:

H-l-ffl

1-.L

trfcfcld3xirt#

SEI:EI±i-••t-f-f-f-"r-i

ffl

-R--t-1

-

...i....[....L.l...i.JfSSBSR.

K-U-l.

:hl BE55BB3B:era

BB;±fcfcj

undefinedD: lk

^ H-l

ES5EF ,L..lu-t-T

BBEB F? —I-ffF •H-H-1-r

•h-1±rmf-l-t-

y -L4—1-J-m=ffl ..U..l-l—!—l- m-t-

±t:hy±i±arj±tfcl

L

f

• When y is by itself, we can determine the 'Slop^>. _ and the \J — ^OV^PQ^3) Identify the slope and y-intercept of:

^\opel^ 3y-irtterc€p+: i°)~'Q^

4) Find the slope and y-intercept of:4^+ 2y |= 16^

^

M^[\^-^ ^opci3-^^2 I

^nteceph^ io.s)

5) Write the equation of the line that passes through the point (1, —4) and has a slope of 3.

\^^p^y^b.-4.5t ^^-b-4^^ +b

--1-- b

^^1\

5

6) Write the equation of the line that passes through the points (1,1) and (3, —9).

-I

m^^-v, ^-(Yz-^ 3-

\/ rfnx -^bI ---C)(Q ^-^I ^ -*5 ^b^ ^^L) ^ b

-10z

= -5

T35-x-^

7) Write the equation of the line^hat contains the points (-3, -4) and (-9,0).

m= Vi-Y, - o^^ - ^ _. zx^-x, -cl^s -^ 3

\^ ^ n^ x ^b0-.-l(-^).b

3

^-1,-.0-^^b-\o -I-b^b ,p^<x\ 50^

8) An exterminator charges $35 for a service call plus $50 per hour of service. Write an equation in slope-interceptform for the cost, C after h hoursof service. What will be the total cost for 7 hours of work? 10 hours of work?

C = 5^ + ^'5

~1 hour'sZT%oC-;^ ^ 3)5(c-^^1

J

O^OLLT^~C-^ 5600^^36l^^isi 6

Linear Inequalities:

Lines: 'U^'&It^U when < or >

c

Lines:

^^l^d when<or S

Shade: b^l 0\AJ when < orCltev-€. when > or >

: or

^\6,9) Match each inequality with its graph. Explain

your reasoning.

a. y < 2x- 6^ ^0\ ld^ \Q^| 0^'b. 2x-y-^6-ly.

da<sV^j beiow

-2X2-^ • - 2x ^

^.^- ZX-t^ to^low'

c. 2x<\-{0

2K-^

py+6

q>Zx-^

d. 2x-6^y

-^ (3)dasW.^ , ^atoo^~"ay>^vt

y r^^ ^ i -^^Q ^0-bovt dashed,

OK^VC

21

^SKSSK -10x x

y y^1

43

Dx

^01 tCi, bzlOA/

10) Graph 2x-8y^

-2x24

-ZX^-2X^-24

^

^ >. Tj X -3

Solid. 0<bo^&

y

s\\^^^ Kffi^ s^^ wffl^ N1\

M 1\1 1\M\1 ^^^ »

\s \

x

m

b

^

-1

Name a point in the solution: to 6)-)-

7

311) Graph y<^x-7

do^s'v^dj belckM3

m= ^

b: 1

Name a point in the solution: ^ '^

yr

^

^/T I IN

J\

^t

v

St'3—N I N n<

rrN N

KLN.

S4

x

^

^>

12) Graph x ^ 5

Solids above

m

b:

undffine.cl

Name a point in the solution: ^

y

^<;

x

Hi

13) Is the point (4, -9) on the line y = 2x- 4. Explain your answer. Use of the following grid is optional.

\l--lx-^^-2(^-^-^--<?-^-ci /4

Mo, t^,-^ is not »point on the \i^\/=Zx-4 becojiAS< -<?^':/ajnd i+ do^ nol- .^'e on ^ne

y ^

^

I

M

j^

x

^

(^4 11

dfe±

8

rName

(

curteK^RevreuFoundations Final Exam Review

.v^<»•'

1) a) Solve this system of equations graphically.

-(yy= a-4-10f4y+2y

1

-4

-IVK'^4-^x-4

Z 2-^-Z^-2

Solution (-4,^

b) Solve this system of equations using substitution:

(4x +2y=10y= x-13 V^'X-i'5

4x ^z(y-^^\oL^^ ^'2-y -2G? ^^o

L?>< -Z(fc ^(0+ ^ +2(^(^y = 3^L? ^y --^o

y^(o-t2>v^--i

Solution_ CQ>>--IN)

1^ A"^

ti^£G:

j4^ ^-l^-i-U J

-r-

\

-!-

t

^y^-lx-2

c) SolygJLhi^jystem of equations using e//mf'not/on;

2^^=V20) 1^<- 1^- -40Tl6x 4- 7y = 30' ^ ^^^ -^ ^ ^ -^^

^ ~lo

-•5

?y^l£)C2^-io^X - 12 ^-20

-^12 -KZ

?^--1^.. ^,Y^-'l

Solution I - • )

^--T-

9

2) a) Solve this system of equations graphically.

3y+ 2x = 6•3y4l5y-2x= 10

+2/ ^ ^ ^-2

t

LX

^^-. -2.

-2X,

-2^3(

.^'^x^Z3'

<n--^ fl4b--2.

T "] ^z/-^'^k

-s^F>i

L

uo o..I-

0^2v^^1^ I

'H^-H4 •X

^ i—!—1'

2x^1dl»

^...--S 5£--

0-t-

.....J

+

r-i x .2

^='§x.2^1

m^z^

b^Z

Solution to, 2^)b) Solve this system of equations using substitution:

4x-y=20-^ ^ -^^^0l-2x-2y= 10 -^|X -4X

.2x-Z^^^-^+^-2x - ^ v. ^40 f^lO L^^ 4x -zo

-lox-^3j',°o |:w^°|

c) Solve this system of equations using elimination:

J^^x+3y=13)-9 ~l(^K—(^^ ~'Z(£?^l3x+2y=ll) ^ ^ ^ ^

^x

-»

[•^ ^ -8-10 0

X -5

Solution(5.-X\

^ -2^L^<"2~T -"7X=-1

3C-i^^pt+2Lt t \'

0 ^^

41z

^-~1^u^}Solution

10

c

3) Answer part a. Then use what you found to solve part b.

a. The school that Bronte goes to is selling tickets to a choral performance. On the 1st day of ticket sales theschool sold 3 adult tickets and 1 child ticket for a total of $38.The school took in $52 on the 2nd day byselling 3 adult tickets and 2 child tickets. Find thej.u.ice-aiamidtdUicket and the price of a child ticket.

Lev adu\-v -^c^s> '-^^G,V><YA-^C^^-=C

(\^\-v CO^TV^c^e-te-HcV-e^^dTenOr>d t\\\

1^^

cost

Find theju.iceeaf-en-adtdULcket and

-^^c.7^)'^-(-ZC-52-^-tc-^

C = i^l3LOk.N>+U'^\?>S ^.^-5a 4-l-^yl

b. How much will it cost for a family of 2 adults and 2 children to attend the concert?

2ti

^0.

^ d -- tos^ ^ 2ft^ ZC^d'indcA^ 2CS^2(iM)=ci

L)^zd

CO ^++^6v/^axYd-C-1-t^4 +t>fomi ^ C^ncerha-^d •^e

4) Colonel Dickinson is giving a test with 20 total questions consisting of multiple choice and true/falsequestions. The true/false questions are worth 3 points each and multiple choice questions are worth 11 pointseach. If the test is worth 100 points, how many of each type of question are on the test?

Le+ maW^e c.^ce =1^U-V ^ut|-(ahc ~- ^

m-^ZO

'5TTnore C3upe

multi p^cC^ace <

Lt<€3tt^

+ ^=20^ fi-ue/and 1-35

^aise esfio^9uv

^^151

5fc + \\m^ too

-sT^ -^rn ^> 2.0-)-?>nn = -bo

^ ^\\^ ^ 100 ^

gm=WT J[m^_5i

11

Name_ Foundations Final Exam Review.r

cur'teKnaRevieu

i\•^1

Arithmetic Sequence Formulas: Geometric Sequence Formulas:

t\ Gn^n-,+d^1

ao--o-n-i*<'

^ On --0->m

-- a, + dG^-^

c

ao=a,TA-I

Determine if the sequences are geometric, arithmetic, or neither. State the common difference or the common ratio.

1) 12, 4, -4, -12, .-^ \^ v^-^ -s' -^

2) 2, -12, 72, -432,\/\/\^a -Ip »-(^ ••—(^

d---^ar^in^+TC

Given the following sequences write the recursive equation:

r---^»et

3) 3, 6, 12, 18, 36,,vv^^,

.2 .-2@-2ncf\h€A"-

257) 225, 75, 25. ^, ...v\'v

•± 'J- .43^3

8)-75, -61, -47, -33,.\^ \^ \^-

4l<4 ^\^ Jr\^

»> i. ^. !-A--Y^VL^ti"^ --4

an=Q.^^ a<,-<^.,+\^\

O.n=0.r>-,-" 4For questions 11-15, given the following sequences, write the explicit equation and find the 10th term

12) 3, 6, 12, 18, 36,...10) 12, 4, -4, -12,

-^^11) 2, -12, 72, -432,,

* -(<? —L? —L? nef-Ww

an--i2-^n-iN) O.^Z'I.-^T

12

2513) 225, 75, 25, ^. .\^\^^•vy^

14) -75, -61, -47, -33,,^ \^ ^

^|L( ^\^ +^

15) 480, -240, 120, -60..

WY,-i-'14

an-225.(^-* &.-^+'^n-^ a,-^-G-iVExponential Growth/Decay Formula:

GTD^V\- Deccu^:

y^ad-r-Tu><

\f^0<i\^}16) The population in Buffalo was 550,000 in 1985. The population declines at a rate of 1.4% each year. Find the

population in 2010 to the nearest person. "2.01 ^

V.Q(l-r')< -Jl!^y= 550(0oo(l --Qi4TVT 5^2 2 people)

17) The value of a diamond ring appreciates at a rate of 12% each year. Find the value of the ring after 7 years if the

ring was originally $7,000. ^^^

Y^ad^r^'y=--1,00^(1 +-.i2yV^i^,L<^.T'

18)A new car that costed $40,000 depreciates at a rate of 15% per year.a. Write a rule that models the value of the car.

-X

x

^v I

y^ati-ry^ ^Op0o( I - • i

b. Find the value of the car after 5 years.

'y^4QOOo(^-j5^fy=<ln,l4?.2)| 13

Name Foundations Final Exam Review

H8 (o BHMBDetermine whether the given graphs, tables, and sets of ordered pairs are functions. Write yes or no.

1. x y

'^% ^'^y

-2

^

-1

-1

-2

2.

<-

3. ^

^i2L -> ^

^4. 4

/ \j

^

/\1

^e5

-^ <

/

No

5. ^/v\ /r\

$ ^

^ M/

v

VesNo7^0

6. {(-1/2)- ,(-3,4), (-4^ '(-5,5)} 7. {(1,4),(2^), (9,10),((2)B)} S. {(1, 3),(2,3),(3,3), (4,3)}

Yes No Ye&9. Sketch a picture of any linear equation 10. Sketch a picture of any exponential equation

/T\

c/I\

\J

> ^

M/

11. Give the inequalities in interval notation:

-2 <x^ 10

(-2,101S<x<7

(->,-''>13 ^x< 22

[l5,Z2) t

12. Give the domain and range for each function:

{(1,4), (2,7), (9,10). (12,8)} /(x) =3x+14 g(x-) = 2(50)x

v '^i, 2,ct. i2? r^. ^ fea^ nwbw^. ft\\ r^ nuw1~1>)'<~^ u'(-CO)CO) u -OOZL^^<

d'. ^ ,~1^, }0[ ^:f\\\fw.\f\w^ers^: o^i^/-oo

nu^berj00

^-co,oo)

14

13. Let f(x) = -3x + 6 let g(x) = 6x - 8 and let h(x) = ^.Evaluate each function.

a./(-2)=.-3(-Z^+<^ b.5(S)^ L»^')-y c.^-3) s <^^^(-2^ ^+tp ^(^ ~- 3o -S' hC-^) ^ ^iR-2^= (Z ^'5Y-^ 22

d./©=^}«^

-3(i) ^

^ - ( +-<p

--S

B./(-2)+/g)

=(24-5

=n

f.5(6)+/g)=U(^)-^ ^ 5

-3^-^ -^5

-- S3

14. Given the function /(x) = 2x - 4,a. If the domain is {3, 5,7} what is the range?

+(5^^2(?,s>-^ --ZfW-ZC^-t^^^t-i) =2H)^^0

2^^0J

b. If the domain is (2,8], what is the range?

^(^-2(^.y^ ^oR8y--2(^-1/ =/2

(OJZ]

x15. A local gym charges $25 per month plus a $99 enrollment fee tosign up. Findthedomain and range

over a one year period. I

)er month plus a

=Z5x+^?(o').Z6(o-)+qcK-F(o^crci?(^---250z)+^^\z} -- y)^

bcmain: o^x^iz[0/'^1

^ounc^: °[ci^L.W[w.^l

("Name Foundations Final Exam Review

^\1) Simpli^: -3xf^ - 41 - 2x(x

cupteK—Revieu

23x

+ 2) Find

^-izx^zxfB^-t-

26x

of3x2 +4x-2ar\dx2-5x+3v^

l'^^£2^^y1Fs^^

5v^ ^x ^-\X H

c

3) ?>Qt -4^+2 subtracted from Ig7- +5^-1 4)4x2 + 7x- 5 is subtracted from 9a:2 - 2x + 3<^TC>O+-^ (-^nhV^

~1^2 .5^-1 41^1^+2) ^2-2x ^3 •^^5}^t^\G^-7n}\ (^xl^A^ ^\%5^(3Q^\^^~7

4£^ _^5xz-qx^

^ST'^^"^.5) d-lOx2 +x - 3) -(4^2 +4x +'4)

~^^>./2 24lOx +-X x

6) Simplify: (3^20(®c{2]

llx3^?~I^K2-^Y--l1

7) The product of —3x2y and CSxvL+ xy) is

-3X2^5X^ r'X'^')

J ^i^-^xy./

16

8) What is the product of (3x + 2) and (^ - 7)?

(^x.2^V>)(®i-l4y(- 2.1 x

3yT^nx-iLH

_^=:^>'_10) Find the product: (5x - 2)(7x - 5)

3c?y2C2c)~x)(^<4x)+10

35x2-^>ctx+lb

9) (x-6)2

(K-^)C^~^

y -(o

^T^

i-k> '3^

x

-^

X2-|2y+?>^

11) (2x+10)(3x2+6x-2)

2x' +10

(

z^^^./

12 X2<£;

^x/| -20

^xz

-t-lfl^

-2

\ ^X" ^2x2+5(r>K-20

17

Name. Foundations Final Exam Review

^

1. What we the factors of J^ - Wx- 24?

(1) (^-4)(x+6) (2) (x-4Xx:-6)

3)J^-12X.»;+2) (4) (x+12)(x-2)

^ /^Factored, the expression l&t2 - 25y1 is

cquiv"e°tl° Xps^-P.^.^

A.C:l-z'+

(Y^y-\i}-2M 4.^0

-t,2M

-z,l^-T,^-4^

2^>/o

5z

c (T^zl-io)

3. When factored completely the expression3j(2 - 9x +6 is &quivalent to

(1) (3x-3)(x-2) (2) (3x+3)^-2)

(3) 3(< + l)(x - 2) ^(4)5 30c - 1)(» - 2)

§X2 -c\ X +^^ 3

3(X2-2>X+^3[X-lUY-2N)

2.

a.c=i-2--2• -32

3t .2>

-3-2)

(4x-5y)(4x+5y)

(2) (4x-Sy)(4x-5y)

(3) (8x-Sy)(&«-+5y)

(4) (&r-5y)(8x-5y)

JU?.

X7'.26'.

t

4'x-Al

f^\ft/XT

1^

^5

^(Mx+5^y4x-5^

4. Factor completely: 3xt+15x- 42

^^15x -^2,5 3

3«^5.-^ a;^^.^jq|4-5

iT7-z^ ^ +^ ^^

18

5. Factor completely: x3 + 5jE2 + fee

)(34-5x2+^^Y "7

a.c-.i-^X(xz+5x-t-^ ''.Jl+5

.ynir><j\<»

Z Express 4j^J-25^as the product of twobmoiiMals.''

Y^T:..

^Cx^^ ^itj)

•r\

4-. 22 . Yy^

^

^5/f25;

^^(^-5))6. Rictor coinpletdy; 2x3+2sz-l'lx

^ +^x2 -_11^ ^p( 2)

2x(x2+x -^a-c ^ l --^

Y-Z^+^

+1-(^

cb-I ^)

\^,^

8, Factw contpletely; 3ri + 5rz - 12f

;^^5t2-l_2^ &.C.3.-U•^ € ~k .^j^

^(3^+51 - 12^ -iT^~/\ -Z,CS(

^^ -^-l2) ^•3F-3T -^ -¥

35t^

^?-

^(%^+3)-4(*^TT&t-^^+s^

9. Find the vertex and axis of symmetry of the equation y = 2xz - 16x + 3

V^2^)t-1^4)^ -^. a':2,,2& ^ b"'^

^-"zt? Y---(-\^ C=3.20^(wtex-.t^,-^)) ^-

10. Find the vertex and axiS 6T symmetry of the equation y = -x2 + 4x + 3

t.-n.}^%i)^ ^^^y^= 1 ^-i^x

WV<x^] x"%19

v^

Name

1, What arc the roots of the equation J(2-10.r+21 =0?

A. 1 and 21

Ci 3 and 7

B. -5 and ~5

D. -3 add-7

(x-3)(.y-i) =oX-3=c>+3 +3Y=3

\-~i^a+~1 v~1Y=~l

3, What is (he solution set of (he cqiiation^^x-QsQf

Foundations Final Exam Review

2. The roote Of the equation 2x? ~ 8x= 0 are

A. ~2 and 2

C. 0, -2, and 2

B. 0 and -4

LE^ 0 and 4

^2^ ^o^ 2i

2xCx-4^o2x^^ k-^^o

^4-4x^

Z 2|x=o|

4. What is. the solnttoo set of the equdtioitjt2-3jc-4=0?

(^ (3.-2) B. {-3,-2}

C {-$,1} D, (3,2}

CX-31^+2.^0X-3^q

+3+3X=3

X+Z^O-2 -2y=-2

5. What is the solution set of^2-jr-20 a O?

a-4}c. [-wai

B. {-5,4}

D, {10,-2}

(x-5yy+Lt^=oy-s^o

^6 +5y^5

y^<4 -'0-^ -+x^-4

A. (-3,1)

C. (-4.11

B; {4,-l}

D. (3.-1}

(x-^Cx+t^ ^oX-^ro+^^y--^

X -»-( ^0-I Hx---\

6. What is the solution set of the equations(r-aX.r+A)=0?

^ (a,-A}

C. {-a.-fc]

B. {-fl.A}

D. 0

Cx-oi')C^<+'o'>^^x-a^o

+o^ -vc<

y^(X

y ^-^^o-b -b

x^-to

20

8, Which type of function is graphed below?y

^»-x

A. linear B. quadi-atic

C.) expOrteatiaI D. absolute 'ralue

9. Which oidercd pair is a solution of the system ofcqiiatioos shown ia dMs graph bctcw?

y

\

)A4SJ

^^

(

-I'Mpr^I ^

r<

^

*-x

A. (-3,1)

C. (0.-1)

(-3.5)

D, (p,-4)

10. Solve the following system of equations graphically:

y=x2-4x+3 —^ )(y=x-l

rvi--iI

b---'

-I0

2

45

?50

0

5s'

^^^

^^

-^-lN(^

^^

z

frX

^^

^

\i\)0} Oa-id 14)^

21

Name Foundations Final Exam Review^

CUPtCR IBI Revieu1) Which graph does WOT represent the graph of a function? 2) Which interval notation represents

5< x < 7 ?

D y

^

\v

2) ! 4)

1N̂

y

M

\

4

^I/

/

D [5,7]2) (5,7)3) [5,7)PS (5, 7]

\/

2) The value of a diamond ring appreciates at a rate of 12% each year. Findthe value of the ring after 7 years if the ring

was originally $7,000. ^^ ^.^ ^( ( ^ ^0"

c y^^oooCl+'.i^'^al5^'74.-l'l

3) When 5x2 - 6x + 10 is subtracted.from 6x2 + 12x - 8, the result is"(W^S

(oy^+izx-y-^y?-^^os)?\

Wl^/-ttX 2 5x +L3X/-1

p~+l^x-l^I4) What is the product of 2r2-5 and 3r?

^~~>3r^2r2-^

1^~\^<-\22

I

5) (3C+4)2

(x-1-^^6) (3x-6)(2x+5)

x2 4 x Mx +1 CD

Yl^x +1(^

7) What is the product of 3x4y and -10x2y5

3x^'(-loy2^^ Q»2o x '4 J

3v -L,

2xz-\ly^y

i5y ^-30&

G,x2 +^K-30

8) Factor Completely:

a. x2 - lOx - 24

](x^)Cx-iz^C2,-i2

-2^1-ffOb. x2-64 T>C3?<S!

25/o

X2:,

^i> ^-^A^

x x¥ V -

Cxt-^Cx-^

c. ^3+24x2+36^

^X 3x 3<<

3x^2+Xx+ll) 'Jl}4-—^}^(x^}^^)

»»^G^

9) Find the roots of the equations:

a. y=j:'-10x-24 •-2ill—t0

0^-vi-lDx -2^ _^TO^C<+2)(A-IZ) -2,111

X+2-^-2'Z

X-(2^0 2'~12-M2 +/1

23(0

-<0

y^izx-z

b. y=x2-64

o^x2-^2X':

0=(^«)(x-^^-1

^\/.y

ss

y^^-s-s

y -?roH ^

"x^T^^23

10) Find the vertex and axis of symmetry of the equation y =—2x2 + 12x —8^

V---ZC^2+»2t$HXC^V=l° Y-OZ^

a—zb=120^-^

fverV-w -- (3,' o)|._^•- ^^t' ^x^

11) Solve for x in eadi equation or inequality, and justify each step.<1^.^. •"'""•'" "~r ^\ /-

a. 15x-3(3x+4)

l5x—qx-12^

+12.

c(p

6

CP^ ^. prc/pCLT

b. 2(x-4)^f(5-3x)2x-^ ^^ -^,

-?

(px -12 -:f(^_ p,^^. ^x1

+12. A-

(j>x 4 II ^.^r\.5x-^-^l2

(p ^

+ x

tx-r-2j x

2

^

Zl>-y^fv7 2: 5

12) What is an equation of the line that passes through the points (5,1) and (—5,7)?

m=^-V, - -'-' . ^ _ -a^^->, -5-5 -10

^^Vn^-^b1^-1^^

5

&

y^ ~i x +4^

i^ -3 J>-^ b=t4r3 T3

13) What is the slope of the line whose equation is: 3x — 7y-3x

9

|-3x^ -3x +^ct

--7 -~?

DiS^-. pn^>.

A.Xn..

A.x^.

M.IK

=2x-^^^ -=j

m^ s_-1

24

14) Kevin went to the movies and bought two jumbo popcorns and two drinks for $17.00. Robert went to themovie and bought one jumbo popcorn and three drinks for $15.50. How much does each item cost?

f> ^•'^

same

L^-pcyco'fn = "PL<adnn^& '- d

^£_,_2d^l "1.00-2'ZTp+^>d=>15'50^

popcorn co^ $5.oolOnd dnn^ costjrs^i,c'->'s,.

^\J

2^^id=n.^o-y? -Gp^-3i-^

~-qd=-14~?^-^rId ^5^0

(p-3C3.9C>)=|5.56\p ^- io^o ^i5^

^/^66 -^_06fp^s&00^

15) On the set of axes below, solve the following system of inequalities graphically. State a point in the solution.

y

y>

/ j^/ivt MI^- i^/ii^/vviii^ ^y«»^^.i 11 v/i iii^-\^wuiih*'^«/^iu|>/< ii^-uii y •

<2x+i dx^ed, be\ow^ ^^2 ^b^ \^g3gg|^@^-jx+4^id,otoove, m^,b^4'^^^fl

((Oi2N)

16) Graph the following system of equations and identify all solutions:

71̂7to

..\v

..a"b-^f

*£

TON#f.^" w

.V.L--1.

^ _u-\ ^m^ KJYJ

^ -4N-

ib

^

y = -2x2 - 4x + 6

y=-X+6

rn-^-\

\

b^b

x

t0>^Ojndt-l.5,Z6')

-4

-2-I

0

Iz

^0^1^Ip

0[-10

^

I..L....,..L

Bd&

^

^̂^'/

iL^