Name: Date: Period"

FALL FINAL EXAM REVfEW: Complete for +10 on Final

UNmT 1%

Examples:Translate the following expressions into Algebra:

8morethan a number X Jr-

8 is greater than a number

12 is 4 more than twice a number I<ÿ!,

Triple a number, reduced by 5 is 8 ÿ.ÿ.g _ÿ7 :::. S

Commutative

Associative

Distributive

Addition

a+b=b+a

(I(.+ b)+ ÿ= a+(b+ÿ)

Ex,

6 less than a numberÿo

6 is less than a number (,.p/ÿ.

Property Multiplication

a..b=b.a

, '7

Ex,

a(b + c) = ab + ac

State if the following relations are functions or not:

{(1,2),(3,4),(5,6),(7,g)}

{(1,1),(2,2),(3,3),(4,4)}

ql,3),(5,9),(2,4),(ÿ5)} ÿ\--ÿ C)

Stage 1 Stage 2 Stage 3 Stage 4 Stage 5

If this pattern continues, how many blocks will be in the 9th stage? Ut -,d

I 1The picture below shows a pattern of the number of blocks used at each stage = -i-ÿ ÿ

_ ÿ-CO) I')

/

, )

/,

f /''I¸)

2

Identify the INDEPENDENT and DEPENDENT VARIABLES in the following scenarios.

David measures his tomato plants to see how many inches they have grown each week.

fÿIND: ÿ!iklÿ:ÿ i'j s! iL ..... DEP: i'ÿ, . L,

f

You burn 14 calories every minute of exercise.

IND: 4ÿ DEP: o

Simplify the following expression: What is the value of the expression

(x2 - 4x +6) + (4x2..ÿ.+..ÿ)+(-2x2 + 9x + 10)

,v,,ÿ-l_ Zÿy,ÿ ÿ Y; -- ÿ ÿ"\ÿzÿ,": ,ÿy2ÿ ...........................................

elo :ÿ /'7

A quadratic function is given [(x) = 2x2 - x + 9.

What is/(3)?

2(q)- -l--<l

Translate the following expressions into Algebra:

3 is 5 less than twice a number

6 greater than a number

9 is greater than a number

Triple a number, increased by 2 is 14

5 more than a number

6 is less than a number

State if the following relations are functions or not:

{(-1, 6), (1, 3), (2, 5), (1, 7)}

{(-1, 2), (0, 5), (5, 0), (2, -1)}

{(4, 7), (2, 1), (3, 6), (3, 4)}

{(1, 5), (2, 6), (3, 6), (4, 7)}

Practice:

What is the value of the expression

when x = 2 and 2" = 4?

-5x2y + 2x A quadratic function is given [(x) = 5xz - x + 1.

What is [(1)?

What is [(-2)7

when x = -3 and y = 5?

What is [(0)?

The figure below shows a pattern of light and dark tiles.

Figure 1 Figure 2 Figure 3

:his pattern continues, how many dark tiles will be in the 7th figure?

The figure below shows a pattern.

2 2 2 2

2 2 2 2 2

If this pattern continues, what will be the perimeter of the 5th figure?

Identify the INDEPENDENT and DEPENDENT VARIABLES in the following scenarios.Kelli volunteers to wrap gifts for charity. She uses different amount of wrapping paper to wrap

different size boxes.

IND: DEP"

Coach Torrey is selling tickets to the Prom. The junior class receives $25 in profit for each ticket sold.

D: DEP:

Identify the property being illustrated.

a. y+(-4)=-4+y1 1

e. 5X-=-X53 3

b. (x+2)+3=x+(2+3) f. 2(x+Sy-2z)=2x+16y-4z

c. (-7)(2.5) = (-7)(5.2) g. (y.3).6=y.(3.6)

d. 4(x+y)=4x+4y

Identify the parts off(x) = 4/5 x - 8

Match the parts of the function:

Simplify the following expression:

(3x2 + 5x - 6) + (-2x2 - 4x - 3)+(7x2 + x - 1)

f(x) A. Independent Variable

B. Dependent Variable

4/5 C. Rate of change

X D. y-intercept

-8

UNIT 2

Solve for x

6(3x-5 ) = 24x- 12

,,+++ l+

I)( ........ ++'ÿS

Examples:Solve for x Solve for x

,, ')! )(

2 4-X+3=-x-55 5

5 iÿx+5 ,j,, qJ, i+ .] '] (:)

#+ i'+i,)+ +,,+++/+ ..... +++,(s:,+ +"++; .q+ ++ÿ;

If(x, 5) is a solution to the equation y = 2x- 9, what is the

valueofx? ÿ ÿ2 y{ -- ©4

The sides of a pentagon are (x+3), (x+4), (x+5), (x+2), and(x+l). If the perimeter is 35, what is the length of the

I. ongest side of the pentagon? "}ÿ/. -/P-ÿ) --: .... ÿ ..........

Practice:

[ C!8 -

If (6, y) is a solution to the equation y = 3x- 2, what is the

value of y? ÿ ":--- .:2 ÿ-o ) ... rÿ_

Solve for x

Solve for x

4(3x - 5 ) = 20x - 36

-2x + 8 = -4

Solve for x

3x+6-5x= 10

Solve for x

Solve for x

4(2x - 1) = 20

4"(x + 2) = x -55

Solve for x

2 4-x-lO=-x-63 3

If (x, -2) is a solution to the equation y = 5x + 8, what is thevalue of x?

If (8, y) is a solution to the equation y = -2x - 1, what is the

value of y?

The sides of a quadrilateral are (x+9) (x - 3) (x +1), and (x+2).If the perimeter is 49, what is the length of the shortestside?

The length of a rectangle is 4 inches more than twice its

width. The perimeter of the rectangle is 26 inches. Find the

length and width of the rectangle.

I UNIT 3 1Examples:Identify if the following ordered pairs are a solution to theequation y = 2x - 6.

(2,-2) (0,-6) (-4,2)

Ify varies directly with x and y=10 when x=2, what is the

value of x when y=30? _7_ I [)

What is the slope of a line containing the point.,

Match the following with their name

A. y=3x+2

iFÿ B. y+5=-2(x-1)% .... C. f(x)=2x-6

D. 3x-2y= 8

Standard Form

Function Notation

Slope-Intercept Form

Point-Slope Form

Write the equation in slope-intercept form

(-2p\g,?\

©

Identify if the ordered pair is a solution to the equation.

y = -7;(-7,0)

/

-7x - 4y = 1; (-3,-5)

- 7x-- 4V -

//- I

/t

-5y - 6x = O; (-6, 5)

..... >/

lq (:.:'ÿ

Practice:

I Identify if the following ordered pairs are a solution to theequation y = 3x- 4.

,-2) (1,-1) (-5,-19)

What is the slope of a line containing the points (-3, 4) and

(€ 1)

What is the slope of a line containing the points (-2, -1) and

(4, 5)If y varies directly with x and y=12 when x=4, what is the

value ofx when y=24?

Graph

y = 2/3x + 1 y =- 3/2 x + 7 y =- 3/2x y = 3x- 5

,-FT-PNT

: ,-+-

• : : +--

--ÿ-+--ÿ-+-4--F-

-ÿ-+-ÿ--+-4--ÿ.-_q._+_ÿ_q__4__{_

tFÿ

.... t81- .....................__+_ÿ__+__.... 16 I--ÿ--+--+- +-+ ....

-14 ',----ÿ-'-+-',--ÿ-'-ÿ---+-ÿ-+--4-ÿ-4--+-.... 42 k.-ÿ-,-+.--ÿ .........

!!!i!ii-t21 ......

-44 I--+-+-ÿ+--ÿ.--ÿ-4--+-+--ÿ- -ÿ--+---46 t-*--*-ÿ-ÿ-+- i--- +---+-+-ÿ

-4ÿ3 I- ....

I I 1L i _! ....i-F i!q... _L ....

-LA--F .4-

.-A- ..4-

_ÿ2_ZC

I-7 Z

-TTT- -F

4-H-ÿ-4-

H-H+

.J-ÿ

i i

T

Iqqq,° T qqqÿ

, -H-tqÿq

T¢±,._L,

I

T-L

iA_

.... i ......../

21 ......t

-t ¢

÷-i-

T-

Graph

r - --10

L 4.-ÿ{ --J6

y=4

4-4-

L L

.... i ....... i

x=4

]-fTTqq-T-Ctÿ[ ,,-Tq .q-P

-F-,--, ...... rh-{

: ....... ÿ -TTFF

Slope

.... ÿ_I....i

_ÿo

--ÿ.--+--4

yÿ--.

FH-t-i +H]-tÿt++ H-t÷t-F,ÿI-H+H-i-'-FIÿ

Slope

4x

q-FTq-FFFF+t÷l+H---i ....'I-Hill-ti ....

5t"t't'.... FT T -i-

TITHTVF4ÿJJ.' JLSqÿ-

--+--4--ÿ--*--4--4ÿ--4---ÿ-+--4--4--+--+--+--

Linear Parent Function

--+-+ÿ_ÿ_+_+._

__+_+_ÿ_

_÷-+-ÿ__

Tfli

Slope Slope

Tell whether the ordered pair is a solution of the equation.

2y + x = 4; (-2, 3) 3x - 2y = -5; (-1, l) x = 9; (9, 5)

Write the equations in slope-intercept form:

ZÿZ_-L--i • L_-I-

Iÿ.L--4------

i-4

"i ,

-I

I-

/ --[--

----4--

i+--

lÿ--J

-.-t--

B G . --ÿ '

I UNiT 4

For Examples (Look at CRT Review Day 1)

Practice:Graph:

-6x + 2y = 4 6x + 6y = -30 3x - 2y = 10 y+7=5

7 ............... i...4 ....

-----H-

H-- _Lt_ÿ,

_Lt_

• -!-.t+ i

4 .......

-4-44 ÿ I

J-l-i

- {...+....i

_+...ÿ....ÿ

Limb

ZLL-Li-.._+_

-+-i ÿ_;_, -PP

,, --jj

ii.............. [

I 4

T I F ,

i_L'_.. L..I_]_I i-

i iÿ i....... .ÿ .... i.k4

- -i....

,--i---4

,---t--4,--I---4

, !

Write the following in Standard Form:

y = 3/2x + 10 y = - 1/4x + 2 y = - 7/3x + 5

y= 5X+8 y = 5/6x- 7 y= 1/3x-2/3

Write the equation of line with slope 2/5 andpassing through the point (7,-3) in Point-Slope form

A private music teacher charges $20 per hour,

Ifplus an additional cost for renting the room.

the teacher charged 595 total for 4 hours,

which equation in point-slope form best

represents this?

I

Write the equation of line in Slope-InterceptForm with slope -2 and passing through thepoint (1, -3).

A. y-4 =20(x-95)

B. y- 95 =20(x-4)

C. y - 4 =95(x- 20)

D. y - 20 =95(x - 4)

Write the equation of line in Slope-InterceptForm with slope -3/5 and passing throughthe point (-10, 4).

UNIT 5

For Exampmes (Look at CRT Review Dav Z)

Practice:Graph y < -2x + 1 Graph y > 4/3x - 7 Graph y > -2 Graph x < 4

L.... ....

__+__--4-...

_ÿ.+-+__

3 ..... 4--Fqq• ÿ i

.............. -FT

Graph4x+y> -1

,_L.I__+__.I

_m

--I-48 I--

i I ;I, , , ,. !

T ---4--+--+--ÿ

.... l ...... l

-2- L.!-6.-.L8--4-- --.ÿ.--+.--4ÿ+

Graph4x + 3y > 9

---+--- , :

.... i ........ LLI ....

I-4--

._+__

I

--+ÿF--+--ÿ

.... ÿ......ÿ.....4--ÿ.

-JL6-1-8

-'-ÿ--'+--'q'---4-

3-

-I ]-- --ÿ

....... ÿ--4 ----+--+-- ---4---4---

A-2- L.-&4-ÿ

--L4--J-JR ! : ÿ : ÿ

--ÿ--+-- --ÿ

-+-+- ÿ6

......... ÿ4

--.+-------+---4--

---4"---ÿ ....... ÷-.-ÿ---+-- -44

I

____+ÿ----4-

mÿ

[

_.{,-+-+.

pÿ--F--4-_._ÿ__ÿ__+._÷._+.-ÿ_

6-&8

Graph2x - 3y < 18

---4-- ÿ.ÿ

..... ........................I lllI

...... -H-I-!ÿ,.

--F -:-ÿ-4-44ÿ

_A_I

=8Jÿ6- -=¢-L.=Z4-

-F--+--+ -- ---4--ÿ--ÿ---+---.4-.4- ÿ.ÿ - ....Jÿ4....qÿ,.'4

__ÿ.._

Graph3>y+i

I -T-T••FT-

---I--I--I---4ÿ2-4-2-

__p__+__---+,'-4--

Jÿ.

Find the value of x for which the

6x - 9 > 3x is true.

A. 1

B. 2

C. 3

D. 4

inequality What inequality is represented by thisnumber line?

0

A.-4<xÿ8

B.-4>xÿ8

C.-4ÿx>8

D.-4ÿx<8

Solve Lhefollowing"

Solve the following"

4x+5<33

Solve the following"

5x- 10 >-4x+ 8

Solve the following"

2x- 2_< 10x- 262-x-3>2S

(-+-t-H {l I i I I I II I--}0

-./IIII iÿIIII #4qq-)0

/' IIII1 ÿ-ÿ..,IIIIIÿIo

On a road in the city of Katy, the maximum speed is 40 kilometers per hour and the minimum speed is 15

kilometers per hour. If x represents speed, which sentence best expresses this condition?

a. 40< x<15

b. 40_< x_15

c. 40> x>15

d. 40_> x_>15

You are saving up to buy a new video game system for $300. You can earn $8 an hour and have $15 saved up

already. Which inequality could be used to solve for the number of hours you need to work to afford the new

system?

a. 15+8x>300b. 15 +8x < 300c. 15 +8x2 300d. 15 +8x_< 300

To compete in a piano competition, you need to perform two musical pieces whose combined duration is no

greater than 15 minutes. Which inequality represents the possible duration of your two musical pieces?

a. x+y >_ 15

b. x+y<_ 15

c. 2x+2y _< 15

d. 2x+2y _> 15