Name: Teacher: Per:

Unit i Unit 2 Unit 3 Unit 4 Unit 5 Unit6 Unit7 Unit8 Unit9 Unit 10

ALGEBRA 1 FALL FINAL EXAM REVIEW]

Complete for +10 Points

Examples:

UNiT 1: Multiple Representations

Property Addition Multiplication

Commutative a + b = b + ÿ a. b = b • a

E×.

Distributive

EX,

The picture below shows a pattern of the number of blocks used at each stage.

BStage I Stage 2

mm

-3--I

Stage 3 Stage 4 Stage 5

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

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.

IND: DEP:

You burn 14 calories every minute of exercise.

IND: DEP:

Ex,

(.+b)+ ÿ=a+O+ÿ)Associative

f

/

What is the value of the expression

-2x2y + 6x when x = -2 and y = 3?

Aquadratic function is given f(x) = 2x2 - x + 9.

What is/(3)? What is f(-4)?

Practice:

{H, 2), (0, s), (2, 7)}

---'[.ÿ.2 ............ 7 ...................

L4nCFunÿtlon?ÿ

A quadratic function is given f(x) = 5x2 - x + 1.

What is/(3)? What is/(-2)? What is/(0)?

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

Figure 1 Figure 2 Figure 3

If this 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 2

If this pattern continues, what wÿf 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.

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

Identify the property being illustrated.

y+(L4)= -4+y Sx£=!x53 3

Comm ,j -ÿvÿ q£ C,orm vqotovÿ ÿ t

4(x + y) = 4x + 4y

2(x + 8y- 2z) = 2x + 16y- 4z (y. 3). 6 = y. (3.6)

•

(-7)(2.5) = (-7)(5.2)

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

Match the parts of the function:

f(x) [ÿ

4Is 0

x ÿk7-8 ÿ-ÿ

A. Independent Variable

B. Dependent Variable

C. Rate of change

D. y-intercept

What is the value of the expression

when x = 2 and y = 4?

when x = -3 and y = 5?

5\

--Sx2y + 2x

(x+2) + 3 =x+(2+3)

- oC.' £

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UNIT 2: Solving Equations

Examples:Solve for x Solve for x

3-x-5 = 104

6(3x - 5 ) = 24x - 12 2 4-X+3= X-5s ÿ

Solve for x

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

value of x?

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

value of y?

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

longest side of the pentagon?

I

Practice:Solve for x

-2x + 8 = -4

Solve for x

3x+ 6-5x= 10

Solve for x

4(2x - 1) = 26 - 2x

Solve for x

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

Solve for x

3-x+8=432

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?

Write an expression for the perimeter of the figure below:

2x+ 5x

3x+ 2

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?

f

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

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

What is the slope of a line containing the points (-2, 5) and

(1,-1)?

Point-Slope Form '

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

Standard Form

Function Notation

Slope-Intercept Form

If y varies directly with x and y=lO when x=2, what is the

value ofx when y=30?

Match the following with their name

b A. y=3x+2

C B. y+5=-2(x-1)C. f(x)=2x-6

D. 3x-2y= 8

Write the equation in,ÿ1

• 31

3

4• 2

g --23-1=- ÿ- -ÿL

r 2

J E 1i i i 8i i i' ' ' El

i i i

; z i

; z ii z i

i+i ;

, , , ,"".-.L4. I

slope-intercept form

[lI:lIII11

llll]

IIIliIli1:

][[lllitIll

Ill

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y =-7;(-7,0) -7x - 4y = 1; (-3, -5) -5y - 6x = O; (-6, 5)

NO

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

(2,-2) (1,-1) (-S,-19)

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

(4, 1)

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

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

value of x when y=24?

Graph

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

¼

I

!

_.J

1,0, I i:ÿI , [,

t Ii

,4 t I1 t

I%ÿ I I"' ÿS- -8-

-t,-i- +-i-

*+ +t-ÿ -i .... F-ÿ

,.ÿ _i_ _f.. =.1-

It I

t Ill

!1I

LILJ

¢

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+T -.N

.,.L _.ÿ

y=3x-5

Graph

I'-T-'

iT

i

!

J_;I

Slope C) Slope

y=4

->

=.L

L1-

--6-IItt

t

x=4

Slope

y= 4x

,tOT: -+t

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t

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4--ÿp'I!III! I

Linear Parent Function

Slope

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

2y + x = 4; (-2, 3) 3x- 2y = -5; (-1,1) x = 9;(9,6)__

/

Write the equations in slope-intercept form:

!

L-

iiI

!

DÿB

B42

"3/-.

4.

GDt'-11

I i

!

LiI-ll

!J i

o

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What is the slope perpendicular to y = 4x + 7? What is the slope of the line parallel to 3x - y = -2?

Find the slope, x-intercept, and y-intercept from thetable below:

f x Y-3 6

0 43 26 0

What is the slope parallel to the graph?

The slope perp-endicular?---ÿ

Slope:

x-intercept:

y-intercept:

Which is the best estimate for the x-intercept of the graph of the linear function represented by the table?

x y0 51 32 13 -1

4 -3

f. Between O and 1

g. Between land 2

Between 2 and 3

j. Between 3 and 4

Practice:Graph:

UNIT 4: Writing Equations

t

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

! .....

1-

i

"q-ÿ .... F-I-l--

+ ..... H --.I-.... -l--I

't',.:,- c--H

-i ..... -".H

4 ......... t--,-I- .... -b,

+ ........ F

4 ..................

--+--I-ÿ

7 -I--t-

....... i-

t-T ........... F

:F :, --71ÿ

-F ÿ c{--.-Fi_11ÿ ti

-.i -..iL

---t-.

--i :--.ÿ-

-! .... "F"

-i ÿ-- --,ÿ-

-i ..... "-

• - -ÿ..

.i--I- -t-

-.ÿ--

l-t-"

--[--

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-l-

i

tl

i--|--

Ii--[-.

i-]-.ÿ

t-r,

+!.L

!=J--L! iÿ--i--4-i

-'T- -F:

:-k,4- -ÿ---I-ÿ-' .-,ÿ4-÷

J._-i- -! .... .... H-i -h

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f__L.

i

!. ÿopI

_..J._I.-ÿ-

--I-

1

i

D :;>. -,L-5z

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Write the following in Standard Form:

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

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

Write the equation of line with slope 5 and passing

through the point (7,-3) in Slope-Intercept form

Write the equation of line in Slope-Intercept Form with

slope -2 and passing through the point (1, -3).

Write the equation of line in Slope-Intercept Form with

slope -3/5 and passing through the point (-10, 4).

Write the equation of a line in Slope-lntercept Form2

perpendicular to y = --x + 1 and goes through the3

point (-2, 1).

UNIT 5: Scatterplots and Inequalities

Practice:The table below shows salaries for teachers in anearby district,

Tuan is trying to get faster and faster at typing,but he notices that the faster he types, the lessaccurate he is. The scatterplot below showssome of his data.Years of Salary

Teaching$ $42,0002 S44,0003 $45,0004 547,000

C

k70

60

5O

4O

30

1 2 3 4Year

If the pattern continues, about how many yearswould a teacher need to teach to earn $60,000?

A. 8- 10 years C. 16-20years

12 - 15 years D. 22 - 24 years

C

0

Based on the data, what is a good prediction forthe salary of a teacher with 6 years ofexperience?

9Oqr

4ÿ8O

7O

0G

50 60 70 80 90.Speed

(words perm[nute)

What kind of correlation is this?

If Tuan types 65 words per minute, what is agood prediction of his accuracy?

If Tuan types a report with an accuracy of 75%,what is a good prediction of the speed he waswriting?

Tuan's TypingP

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

--8-

Graph4x + 5y > -10

Graph4x- 3y > 9

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Graph2x-y<6

9-!-.-ÿ

4

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I. -!-

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-6-i

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fli'-'ÿl!l I I I I I

@1'ÿ1 I I I tq:l, ' I÷ÿ&ÿl I I Irlÿt.ÿlÿ,t, I I ! I4-cIÿ;1ÿ'ÿ I I ! I

- ÿ.ÿ:ÿ >.:-s ÿ

Find the value of x for which the inequality

6x - 9 > 3x is true.

A. 1

B. 2

C. 3

What inequality is represented by thisnumber line?

I l t I Io

A.-4<xÿ8

B.-4>xÿ8

C.-4ÿx>8

-4ÿx<8

Solve thefollowing"

2x-3>2

Solve the following:

4×+5<33

Solve the following"

5x- 10 >-4x+ 8

Solve the following:

2x- 2 < 10x-26

i

4

"'" '"6 ,lvlvi l Vllr / ! I + l,,Oÿ ..... ÿ1\,II,,, ]1

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> x_>15

You are saving Up to buy a new video game system for 5300. You can earn 58 an hour and have 515 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 < 300

15+8xÿ300d. 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

x+y<_ 15

c. 2x+2y _< 15

d. 2x+2y _> 15

t=