(-o (-a) (-6)(-4)teachers.wrdsb.ca/ckomorowski/files/2016/06/exam-review-solutions.pdf · mfmipi...

12
MFM iPT UNIT 1-INTEGERS 1. Simplify. a) (-4)+(+7) b) (-5)+(÷7)+(-2)+(+11) c) (-5)-(-7) 13 Z-zUl 41 -I ( d) —2+6+5—3+8 e) (—3)—(+5)+(—9)—(—2) 12*5 - -5 - t 2 -Is- 2. Simplify. a) (-3)(+8) b) (-7)(-2) c) (-3)(-2)L5) d) (-2) 414 4(S) —12 e) (—2) d) (—3)(+2)(—4) e) I) (-(-a)C-2)C-Z) (-6)(-4) ( 3)(+2) 4% y -39 3. Simplify. a) 2(7—9)—4(—5) b) —16+ 10± (—2) c) —3(—1+5)—(—1—1) 2 (2) qç)N - - - (-a) —Li 42 U0 d) 4_2(7_9)2_1 I e) 2x2 —3x—5 when x=—2 -2(-2)-i 2(i)2(2 Lj i(s) -U I () (c-) 5 #\fl-Is -Ic q 4. Evaluate for x = —i andy = —4. Show your substitution and your steps. a) —3xi’+S b) 2—y) c) 3+x3 2 3t 2(-l ) * - B 2 ( ) 3 (-O E 2

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Page 1: (-O (-a) (-6)(-4)teachers.wrdsb.ca/ckomorowski/files/2016/06/Exam-Review-SOLUTIONS.pdf · MFMIPI UNIT3-ALGEBRA 44a in V a 1. State the coefficient o4c2. 2. State variable pan of •t,%Sifto-1

MF

MiP

TU

NIT

1-I

NT

EG

ER

S

1.S

impl

ify.

a)(-

4)+

(+7)

b)(-

5)+

(÷7

)+(-

2)+

(+1

1)

c)(-

5)-

(-7)

13Z

-zU

l41

-I(

d)—

2+

6+

5—

3+

8e)

(—3)

—(+

5)+(

—9)

—(—

2)

12*5

--5

-t

2

-Is-

2.S

impl

ify.

a)(-

3)(

+8)

b)(-

7)(

-2)

c)(-

3)(

-2)L

5)

d)(-

2)

414

4(S

)

—12

e)(—

2)d)

(—3)

(+2)

(—4)

e)—

I)

(-(-

a)C

-2)C

-Z)

(-6

)(-4

)

(3)

(+2)

4%

y-3

9

3.S

impl

ify.

a)2(

7—9)

—4(

—5)

b)—

16+

10±

(—2)

c)—

3(—

1+5)

—(—

1—1)

2(2

)qç)N

--

-(-

a)

—Li

42

U0

d)4

_2

(7_

9)2

_1

Ie)

2x2

—3x

—5

whe

nx=

—2

-2(-2

)-i

2(i)2(2

Lj

i(s)

-UI

()

(c-)

5#

\fl-Is

-Ic

q

4.E

valu

ate

for

x=

—i

andy

=—

4.S

how

your

subs

titu

tion

and

your

step

s.

a)—

3xi’

+S

b)2

—y

)c)

3+x3

23

t

2(-

l)

*

-B

2()

3(-

OE

2

Page 2: (-O (-a) (-6)(-4)teachers.wrdsb.ca/ckomorowski/files/2016/06/Exam-Review-SOLUTIONS.pdf · MFMIPI UNIT3-ALGEBRA 44a in V a 1. State the coefficient o4c2. 2. State variable pan of •t,%Sifto-1

MF

MIP

T

1.Fi

llin

the

blan

ks.

a)T

hQx

coor

dina

teof

the

poin

t(—

1,—

5)is

b)T

hepo

int

(—6,

4)lie

sin

quad

rant

c)T

hepo

int

(O,O

)is

call

edth

eO

tb

d)T

hepo

int

(7,

0)lie

son

the

2.S

tate

whe

ther

each

isli

near

orno

n-li

near

.

a)b)

y=

r—9

c)

Thtf

l-

v=

6x—

7C

fl6fl

-tnqoj

i) Typ

eof

Rel

atio

n:\“

nJnJ

Fin

ite

Dif

fere

nces

.

ii)

Typ

eof

Rel

atio

n:fln-

nS

cjf

UN

IT2-

GR

AP

HIN

G

(4o,9

)

11

axis

.

Com

plet

eth

efo

llow

ing

tabl

esfo

rS

tate

the

type

of

rela

tion

.(L

inea

ror

Non

-lin

ear)

3.a) b)

7.i) ii)

Dif

fere

nce

in-V

5’y-

valu

es

-1-3

)4

14

:+

4\)

29

I

Dif

fere

nce

in.i:

5’y-

valu

es

00

)+

11

2/

:C

ompl

ete

the

tabl

eof

valu

es.

Gra

phon

the

grid

prov

ided

.L

abel

your

grap

hfi

lly.

y=

—3x

+2

jt6

t

2 s2.

x -‘

5-2-

y=

—2

x 2 I—

0-

—1—

I

-22.

r jt-i

z.

ta

jt

‘I

ftQ

D-l

Page 3: (-O (-a) (-6)(-4)teachers.wrdsb.ca/ckomorowski/files/2016/06/Exam-Review-SOLUTIONS.pdf · MFMIPI UNIT3-ALGEBRA 44a in V a 1. State the coefficient o4c2. 2. State variable pan of •t,%Sifto-1

MF

MIP

IU

NIT

3-A

LG

EB

RA

44a

in

Va

1.St

ate

the

coef

fici

ento

4c2

.

2.St

ate

the

vari

able

pan

of•t

,%S

ifto

-1

3.C

lass

ify

each

ofth

efo

llow

ing

asa

mon

omia

l,bi

nom

ial,

trin

om

ial.

23

a)x2v_3:)

6n

Or(

aI

b)li

v:

_________________

______

4.S

impl

ify.

PC

O\\

tC*

\;V%

e%

rtiS

4Th

a)—

7x—

3xb)

8x—

3x—

1c)

_7xL

4y±

8.—

d)(3x)(5)

-iO

-)(

-‘-

e)(6

x)(—

2x)

0(—

8xX—

4x)

g)6(.

+I1

)h)

—5(

2y—

4) ÷20

N1

/.

i)—

(—2a

)j)

x(3x

—7)

k)2x(x

+8)

1)—

7(5r

+2x

—4

-623+

16%

5.E

xpan

dan

dsim

plif

y..

Va)

(5x—

1l)

(3v+

)h)

(—4y

+1)

—(7

y—2)

-

2

÷3

14.

.,

c)3(

x—1)

—6(

5x+

)d)

—2x

(3x—

l)—

6x(5

x+3)

-t2y

-3-

6.S

impl

ify

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llec

ting

like

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dth

enev

alua

tefo

rx

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4an

d=

6x\3

j—5x.±

2y

±it

Page 4: (-O (-a) (-6)(-4)teachers.wrdsb.ca/ckomorowski/files/2016/06/Exam-Review-SOLUTIONS.pdf · MFMIPI UNIT3-ALGEBRA 44a in V a 1. State the coefficient o4c2. 2. State variable pan of •t,%Sifto-1

MF

MIP

IU

NIT

3b-

SO

LV

ING

EO

UA

TIO

NS

1.A

neq

uatio

nis

like

abo

_Lan

qc

To

keep

itba

lanc

ed,

wha

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ryo

udo

toon

esi

de,

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oSO

LV

Ean

equa

tion

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ns-T

hV

\ok

ç4L

q‘.j

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tate

3pa

irs

ofop

posi

teop

erat

ions

.

a)adcL

4-c

’n

b) c)

4.S

olve

.Sh

owal

lyou

rst

eps

a)x+

8=

—ll

5.So

lve.1

(t

b)x-3

=—

54’

243

c)—

2x=

—24

2-a

d)-=

-3

3

jc-l\

a)4

xl=

7II

6.S

olve

.tta

b)—

l—4

+8

=—

x—

l±6

3-2

1\;

-;

-v—

c)—

9=

7 -2

a)4

x+

6=

x—

3-1

’-3 3 -3

yc

a)5(

x—3)

=—

2(3x

+2)

4

=%

v—

22

-‘s-)

a-2

l

8.D

eter

min

eth

ele

ngth

ofea

chun

know

nsi

deto

Ide

cim

alpl

ace

ifne

cess

ary

rqdt

zoc

9oo

t4ck

tq

oZ

oo -t?o

ITs

tcI

C

(9)b1

(rtV

‘D’

:zc\

W9

co

ntqG

A,

VI

p

b)—

7x—

2+

2’t

7.S

olve

__

-20

-

‘7

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2)—

2(x

+3)=

8x+

2

Th

y-b

-2-1

.-b

=S

’cA

2

-%-1

2..t

42

-

--\z

-m-1

a)5

%çC

,--

-__

csto

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1b)

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‘7/ /

122s

1C

ltc.

9 0

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sis

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ula

C=

44±

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eco

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ars,

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the

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ance

inki

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etre

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nn

ida

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term

ine

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rR-S

Page 5: (-O (-a) (-6)(-4)teachers.wrdsb.ca/ckomorowski/files/2016/06/Exam-Review-SOLUTIONS.pdf · MFMIPI UNIT3-ALGEBRA 44a in V a 1. State the coefficient o4c2. 2. State variable pan of •t,%Sifto-1

MF

M1P

I

I.Fi

llin

the

blan

ks.

UN

IT4-

RA

TIO

NA

LN

UM

BE

RS

2.E

valu

ate.

Lea

veyo

uran

swer

asa

frac

tion

.(N

ode

cinz

atc!

)

DI 3-

3b)

v=

--—

x+

24

x-L

5C-:

’2

Lj-‘

(L

\)

+

L4

‘N1

2-t

l-‘J

_Li

—IL

4

-3)

-—x

2)

— zS

t

-7-

—15

a)R

educ

eto

low

est

term

s.=

20-4

=

15

a)4—

——

66

26-5

=20

L

b)E

xpre

ssas

anim

prop

erfr

acti

on.

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I—-

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I10

a-a

St

i

(3N

2

e) 5-

!-‘°

9b

2s_

31

\3

5—

+—

\I

c)—

x—5.

3)

II7

4-iS

’7

:

(—‘V

i’‘

0—

z—

—z

3B

42

ri

24

1..k

3.i)

Com

plet

eth

eta

ble

ofva

lues

.ii)

Gra

phon

the

grid

prov

ided

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abel

your

grap

hfi

tly.

g)—

—x

5

-A-’ 6

3

S

l0

S-z L

9a)

v=

-x—

4

--:_

-

3

3 -2q

=-

L(

J2

L\

jrl.(3)’1

‘V

t’

j3

1-2

S, J

Lj

il

9

I-I (‘4)4

1

9aa

-1

z

Page 6: (-O (-a) (-6)(-4)teachers.wrdsb.ca/ckomorowski/files/2016/06/Exam-Review-SOLUTIONS.pdf · MFMIPI UNIT3-ALGEBRA 44a in V a 1. State the coefficient o4c2. 2. State variable pan of •t,%Sifto-1

I.Fi

llin

the

blan

ksw

ith

the

corr

ect

answ

er.

VY

\r

‘Ia)

The

slop

eof

the

line

‘+

7is

--

-lb)

The

y-in

terc

ept

ofth

eli

ney

=—

x+

7is

Pos

itiv

eS

lope

—v

L:

Neg

ativ

eS

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Zer

oS

lope

Und

efin

edS

lope

2.

c)c’.

r3

Yij

iY

2tjL

d)G

(3,1

),H

r,9

)

S1oçcj-’

MF

MIP

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NIT

Sa-

SL

OP

E ‘:3

L

It5

kpt

v-i -V

a

mb

c)W

rite

the

equat

ion

ofth

eli

new

ith

slop

eqf

3an

dy—

inte

rcep

tof

—i

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uat

ion

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allin

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gth

roug

h

Wri

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uat

ion

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axis

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x

j=S

ôt

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Wri

teth

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ion

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,2)

Lj

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2.D

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ho

skç-Q

b)(9

,4)a

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ind

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rmul

aus

ed.

c

9%

$

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i).

F(8

,-i)

2-/

--

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Lj

I=

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Page 7: (-O (-a) (-6)(-4)teachers.wrdsb.ca/ckomorowski/files/2016/06/Exam-Review-SOLUTIONS.pdf · MFMIPI UNIT3-ALGEBRA 44a in V a 1. State the coefficient o4c2. 2. State variable pan of •t,%Sifto-1

5

-

rcL

c

The

y—in

terc

ept

is9

5.a)

Gra

pha

line

pass

ing

thro

ugh

the

poin

tA

(—5,

2)an

dha

ving

asl

ope

of

b)G

raph

alin

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ssin

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hth

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int

B(4

,O)

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—3 4

4.G

raph

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Lab

elyour

b)

Page 8: (-O (-a) (-6)(-4)teachers.wrdsb.ca/ckomorowski/files/2016/06/Exam-Review-SOLUTIONS.pdf · MFMIPI UNIT3-ALGEBRA 44a in V a 1. State the coefficient o4c2. 2. State variable pan of •t,%Sifto-1

MF

MIN

UN

IT5b

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PP

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ays

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ocD

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:);1

Page 9: (-O (-a) (-6)(-4)teachers.wrdsb.ca/ckomorowski/files/2016/06/Exam-Review-SOLUTIONS.pdf · MFMIPI UNIT3-ALGEBRA 44a in V a 1. State the coefficient o4c2. 2. State variable pan of •t,%Sifto-1

3.T

heco

stto

take

ata

xiis

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rmin

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cord

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the

form

ula,

C1

.2\d

+3.0

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edi

stan

cedr

iven

in.I

fc\l

c

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this

alin

ear-

or—

non—

linea

rrel

lufi

on?

C\Q

Ck

whe

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isth

eco

stin

b)S

tate

the

slop

ew

ith

unit

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c)W

hat

does

the

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pres

ent

inw

ords

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rcsj

k’s

11i.z

S-3

(ccV

Cw

\

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the

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hun

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hat

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terc

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esen

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ds?

3re

ck

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ketc

ha

grap

hus

ing

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inte

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-I- b

La/

ic!

fully

,(is

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I

Tol

ii

Pay

(5)

4.T

hegr

aph

onth

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sth

enu

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rof

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how

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an

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.

Num

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ked

Page 10: (-O (-a) (-6)(-4)teachers.wrdsb.ca/ckomorowski/files/2016/06/Exam-Review-SOLUTIONS.pdf · MFMIPI UNIT3-ALGEBRA 44a in V a 1. State the coefficient o4c2. 2. State variable pan of •t,%Sifto-1

MF

Mii

UN

IT6-

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OM

ET

RY

I.Fi

llin

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blan

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a)A

nac

ute

angl

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nob

tuse

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nce

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c)A

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are

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