Free Printable Algebra 2 Exam Review

1.

Perform the indicated operation.

Write answer in descending order.

( 9x² - 7x + 8 ) - ( 12x² - 8x - 11 )

a)

-3x² - 15x + 19

b)

21x² - 15x - 3

c)

-3x² - 15x - 3

d)

-3x² + x + 19

2.

Add or Subtract to Simplify:
(4x - 2x³) + (5x³ - 4x + 5)

a)

3x³ + 5

b)

3x³ + 8x + 5

c)

3x² + 5

d)

7x³ + 8x + 5

3.

Simplify each expression.
(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

a)

4b⁴ - 2b³ + 7

b)

5b⁴ - 2b³ + 4

c)

b⁴ - 2b³ + 7

d)

5b⁴ - 2b³ + 7

4.

-x²+7x-10+4x²-6x+8

a)

4x²+13x+18

b)

3x²-x+2

c)

3x²+x-2

d)

6x²-2x-2

5.

Rewrite using a positive exponent.

w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

6.

(f^-6)(f¹⁰)

a)

f¹⁶

b)

1/f⁴

c)

f⁴

d)

1/f¹⁶

7.

a)

x^-7

b)

x⁷

c)

1/x⁷

d)

x^-9

8.

a)

x²/2

b)

2x¹⁴

c)

2/x¹⁴

d)

2/x²

9.

10⁰ is equivalent to ____

a)

0

b)

1

c)

10

d)

100

10.

Simplify the following expression.

$\left(x^3\right)^6$

a)

$x^3$

b)

$x^9$

c)

$x^{18}$

d)

$x^2$

11.

$Simplify:\ \ \frac{x^8y^{12}}{x^4y^{15}}$

a)

$\frac{x^4}{y^3}$

b)

$\frac{x^{12}}{y^3}$

c)

$x^{12}y^{27}$

d)

$\frac{y^3}{x^4}$

12.

a)

2x - 4

b)

2x + 4

c)

2x - 1 + -16/4x-5

d)

2x - 4 + -40/4x-5

13.

a)

2x² + 3x + 8 + -57/x-4

b)

2x² - 13x - 56

c)

2x² + 3x + 8 +7/x-4

d)

2x² - 3x - 16 + -89/x-4

14.

(3x³ + 5x - 1) ÷ (x + 1)

a)

3x³ - 3x² + 8x - 9

b)

3x² - 3x + 8 - 9/x+1

c)

3x² + 3x + 8 + 7/x+1

d)

3x³ + 3x² + 8x + 7

15.

3x (2 + x)

a)

- 6x - 3x²

b)

- 6x + 3x²

c)

6x - 3x²

d)

6x + 3x²

16.

Simplify: (x + 1) (x²- 2x + 1)

a)

x³- x²-x + 1

b)

x³- 2x + 2

c)

x³+ x²+ x + 1

d)

x³- 3x²- 3x + 1

17.

Find the product using

the distributive property.

-8x ( 4x² - 9x + 12)

a)

-32x² - 72x + 96

b)

-32x³ - 72x² - 96x

c)

-32x³ + 72x² - 96

d)

-32x³ + 72x² - 96x

18.

Multiply:

( 2x + 3 ) ( 4x² - 6x + 9 )

a)

8x² - 12x + 27

b)

8x³ - 12x² - 27

c)

8x³ - 27

d)

8x³ + 27

19.

Factor:

(x² - 2x - 15)

a)

(x - 5)(x + 3)

b)

(x + 3)(x + 5)

c)

(x - 3)(x - 5)

d)

(x - 15)(x - 2)

20.

Factor 25x² - 81.

a)

(5x - 9)(5x + 9)

b)

(5x - 9)(5x - 9)

c)

(5x + 9)(5x + 9)

d)

cannot be factored

21.

x³-5x²+5x-25

a)

(x²-5)(x-5)

b)

(x²+5)(x-5)

c)

(x²+5)(x+5)

d)

(x²-1)(x-25)

22.

Factor completely:

-6u^5-14u^4+6u^3+14u^2

a)

$-2u^2\left(3u^3+7u^2-3u-7\right)$

b)

$-2u^2\left(3u+7\right)\left(u^2-1\right)$

c)

$-2u^2\left(3u+7\right)\left(u-1\right)\left(u+1\right)$

23.

Factor by grouping:

4p³ + 8p² + 3p + 6

a)

(2p² + 3)(p + 2)

b)

(2p² + 6)(p + 4)

c)

(4p² + 3)(p + 2)

d)

(4p² + 8p)(3p + 6)

24.

Find the factors for:

25x² - 16

a)

(x + 4)(x - 4)

b)

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

c)

(25x - 16)(25x + 16)

d)

(5x - 4)²

25.

f(x)=(x+4)(x-3)(x-2)

List the zeros for this function.

a)

x=-4, x=3, x=-2

b)

x=-4, x=3, x=2

c)

x=-4, x=-3, x=-2

d)

x=4, x=3, x=2

26.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

27.

y=x-6

What is the missing number?

a)

12

b)

10

c)

14

d)

13

28.

Sort the following relations

Categorize the following

Function

Not a Function

29.

Write the equation
y = mx + b
m = -1
(-2, 4)

a)

x = -2

b)

y = 4x - 2

c)

b = 2

d)

y = -1x + 2

30.

write the equation of the line

(a)

31.

Which of the following could be the slope-intercept equation of the graph?

a)

y= 3/5 x -3

b)

y=3/5 x

c)

y=-3

d)

y= -3x +5

e)

y= 4x-3

32.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

33.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

34.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

35.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

36.

a)

84

b)

92

c)

116

d)

64

37.

What is the range of the table?

a)

{-4, 0, 1, 3}

b)

{-2, 0, 2, 3}

c)

{-4, -2, 0, 1, 2, 3}

d)

{ (0, 0), (2, -4), (3, 3), (-2, 1) }

38.

Is this a function?

a)

Yes

b)

No

39.

Which of these is NOT the same

a)

Range

b)

Input

c)

Dependent Value

d)

Y-Value

40.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

41.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

42.

What is the y-intercept in the equation?

y = 5x - 4

a)

(0,5)

b)

(0,-4)

c)

(-4,0)

d)

(5,0)

43.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

44.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

45.

Find the slope between the two given points: (-2,1) and (5,7)

a)

7/6

b)

2

c)

6/7

d)

-2

46.

Solve for x and y.
2x − 3y = −1
y = x − 1

(a)

47.

Solve the system of equations:
-12x-4y= -8
6x+2y= 4

(a)

48.

What is the solution?

a)

(2, -2)

b)

(2, 2)

c)

(-2, 2)

d)

(-2, -2)

49.

Solve the system of equations:
y = 8x + 2
y = -x - 7

(a)

50.

Solve the system of equations:
4x+8y=20
-4x+2y=-30

(a)

51.

Solve the system of equations:
−6x + 6y = 0
9x − 8y = 4

(a)

52.

Solve the system of equations. What is the value of the X?
3x - y = 5
x + y = 3

a)

X = 2

b)

X = 1

c)

X = -1

d)

X = -2

53.

Solve the system of equations:
−8x − 10y = 20
8x + 6y = 4

(a)

54.

What is the solution to this system?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

55.

Solve:

3x+7y=23

-3x-7y=-17

(a)

56.

Solve:

-9x-4y=-20

5x+4y=4

(a)

57.

Solve:

-x+2y=17

2x+2y=-10

(a)

58.

Solve:

7x-9y=29

7x+2y=-15

(a)

59.

Solve: 8x + 4y = 12 y = -2x + 3

(a)

60.

Solve the system of equations:

$2x-3y=-1$

$y=x-1$

(a)

61.

Solve the system.

(a)

62.

Solve the system.

(a)

63.

Solve the system.

(a)

64.

Solve the system.

(a)

65.

What are the inequalities for this system of inequalities?

a)

$y<x-2$

b)

$y\ge-3x+2$

c)

$y\ge-1x-2$

d)

$y\ge-\frac{1}{3}x+2$

66.

Solve the system.

(a)

67.

Solve the system.

(a)

68.

Solve the system.

(a)

69.

Solve the system.

(a)

70.

What are the inequalities for this system of inequalities?

a)

$y<x-2$

b)

$y\ge-3x+2$

c)

$y\ge-1x-2$

d)

$y\ge-\frac{1}{3}x+2$

71.

What method should you use to factor the polynomial?

x² - 36

a)

Factor by Grouping

b)

Factor out the GCF

c)

Difference of Squares

d)

Master Products

72.

Factor

n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

73.

Which is a factor of $x^2-11x+24?$

a)

$\left(x+3\right)$

b)

$\left(x-3\right)$

c)

$\left(x+4\right)$

d)

$\left(x-4\right)$

74.

Which of the following is one of the factors of the expression: $4x^2-25?$

a)

$\left(4x-5_{ }\right)$

b)

$\left(2x+1\right)$

c)

$\left(4x-1\right)$

d)

$\left(2x-5\right)$

75.

Which shows the polynomial $8x^2+16x+8$ completely factored?

a)

$\left(4x+4\right)^2$

b)

$\left(4x+4\right)\left(2x+2\right)$

c)

$8\left(x+1\right)^2$

d)

$8\left(x+1\right)\left(x-1\right)$

76.

Multiply.
(x + 2)(x + 3)

a)

x² + 5x + 6

b)

x² + x + 6

c)

x² + 5x + 5

d)

x² + 6x + 6

77.

Find the product.

(x - 2)²

a)

x²+ 2x + 2x + 4

b)

x²+ 2x + 2

c)

7x²+ x + 7

d)

x² - 4x + 4

78.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

79.

(5x-1)(x+1)

a)

5x²+ 4x - 1

b)

5x²+6x - 1

c)

5x²- 4x -1

d)

5x² + 4x + 1

80.

Find the volume of the rectangular prism with length ( x + 2) width ( x - 4) and height ( 2x + 1). (HINT: V = lwh)

a)

x² -8x

b)

x² -2x -8

c)

2x³-3x² -18x-8

d)

2x³-8

81.

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

82.

Which polynomial is written in standard form?

a)

-3x + 8x² + 9x³ - 11

b)

9x³ + 8x²- 3x - 11

c)

8x²+ 9x³ -11 - 3x

d)

-11 - 3x + 8x² + 9x³

83.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

84.

Solve by factoring: 2x²+ 7x + 6 = 0

a)

x= 3/2 and x = 2

b)

x = -3/2 and x = -2

c)

x = 6 and x = 7

d)

x = -6 and x = -7

85.

Select the solution(s) for the quadratic: $x^2-11x+19=-5$

a)

3

b)

8

c)

-9

d)

-3

86.

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

87.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

88.

What is the vertex?

a)

minimum/maximum

b)

width

c)

x-intercept

d)

y-intercept

89.

What are the roots of a parabola?

a)

line of symmetry

b)

height

c)

x-intercepts

d)

y-intercept

90.

Blue is the parent function

Green is the new function

Which transformations are present?

a)

Dilation

b)

Refection

c)

Translation

91.

Which transformation occurs?

Blue is the parent function

Green is the new function

a)

Translation (shifts up 3)

b)

Translation (shifts down 5)

c)

Dilates smaller

d)

Dilates larger

92.

$4x^2+16x=48$

Solve using factoring
Check $ALL$ Solutions that apply:

a)

$-2$

b)

$-8\pm4\sqrt{7}$

c)

$-6$

d)

$8\pm4\sqrt{7}$

e)

$2$

93.

Solve using Completing the square
$x^2−12x+30=−5$

a)

$x\ =\ \left\{-5,\ -7\right\}$

b)

$x\ =\ \left\{1,\ 11\right\}$

c)

$x\ =\ \left\{5,\ 7\right\}$

d)

$x\ =\ \left\{-11,\ -1\right\}$

94.

What are the solutions to $2x^2-7x-3=0$ ?

a)

b)

c)

d)

95.

What are the roots / zeros / solutions of the equation
$x^2-14x+48=0$ ?

a)

undefined

b)

$-6\ and\ 8$

c)

$6\ and\ -8$

d)

$6\ and\ 8\$

96.

$The\ solutions\ of\ 2x^2-8x\ =\ 0\ are$

a)

$-2\ and\ \ 2$

b)

$0,\ -2,\ and\ \ 2$

c)

$0\ and\ -4$

d)

$0\ and\ 4$

97.

Find the axis of symmetry for the graph

a)

x = -1

b)

x = 1

c)

x = 3

d)

x = -1 , 3

98.

Find the axis of symmetry for f(x) = x² + 4x - 5

a)

x = 2

b)

x = -2

c)

x = 4

d)

x = -4

99.

What is the vertex of y=x²+4x+3?

a)

(2,1)

b)

(-2,1)

c)

(0,0)

d)

(-2,-1)

100.

What is the vertex?

a)

(0, - 1)

b)

(0, 0.5)

c)

(-1, 0)

d)

(0.5, 0)

101.

Which of the following equations is represented by the graph above?

a)

$f\left(x\right)=\left|x+1\right|$

b)

$f\left(x\right)=\left|x-1\right|$

c)

$f\left(x\right)=\left|x\right|+1$

d)

$f\left(x\right)=\left|x\right|-1$

102.

Recall the parent graph of absolute value functions: $f\left(x\right)=\left|x\right|$
Which transformation(s) is/are applied to the parent graph in the image (Select all that apply. There might only be one transformation.)?

a)

Translation

b)

Reflection

c)

Stretch

d)

Shrink

103.

CLICK ON THE QUESTION TO SEE THE GRAPH AND CLICK AGAIN TO RESTORE IT!

What type of correlation does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

104.

Which of the following equations match the given graph?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

105.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

106.

a)

Function

b)

Not a Function

107.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

108.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

109.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

110.

This graph represents which function?

a)

y = -2x

b)

y = 2x

c)

y = -2x + 1

d)

y = 2x - 1

111.

The grocery store sells cantaloupes for $4.50 per pound. Is the function continuous or discrete? Explain.

a)

continuous; you cannot have a fraction of a pound when you weigh cantaloupes

b)

continuous; you can have a fraction of a pound when you weigh cantaloupes

c)

discrete; you cannot have a fraction of a pound when you weigh cantaloupes

d)

discrete; you can have a fraction of a pound when you weigh cantaloupes

112.

Is the relation a function?

a)

yes, it is a function

b)

no, it is not a function

c)

not enough information to determine

113.

Write the equation of the line in slope-intercept form with slope m = 4 through the point (-2, 5).

a)

y = 4x - 13

b)

y = 4x + 13

c)

y = 4x - 3

d)

y = 4x + 3

114.

What slope is perpendicular to:
m = 3

a)

-3

b)

-1/3

c)

1/3

d)

3

115.

y = 3/2x + 2
y = 2/3x + 6
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

116.

Line a passes through (2, 4) and (4, 7)

Line b passes through (-5, 3) and (-3, 6)

Lines a and b are ?

a)

Parallel

b)

Perpendicular

c)

Neither

117.

Level 1: Determine the type of correlation.

a)

Positive

b)

Negative

c)

No Correlation

118.

Write the equation of the following linear inequality.

a)

y>|x|+2

b)

y>|x|-2

c)

y>|x+2|

d)

y>|x-2|

119.

Select the correct graph for the inequality y > -3

a)

A

b)

B

c)

C

d)

D

120.

Select the correct graph the inequality y< 7/3x-2

a)

A

b)

B

c)

C

d)

_D

121.

Write the equation.

a)

y>|x-2|

b)

y>|x|+2

c)

y>|x+2|

d)

y>|x|-2

122.

Write the equation

a)

y<|x+1|+4

b)

y<|x+4|+1

c)

y<|x-1|+4

d)

y<|x-1|-4

123.

Describe the transformation of the equation below from the parent function of y = I x I
y = I x + 3 I

a)

Left 3

b)

Right 3

c)

Up 3

d)

Down 3

124.

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

a)

y = 3x + 2.5

b)

y = 2.50x + 3

c)

y = 2.50x

d)

y = 3x + 2.50

125.

A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?

a)

y = 30 + 12.5x

b)

y = 12.5 + 30

c)

y = 12.5 + 30x

126.

Sally makes $8.50 an hour and has $1,000 in her bank account. She's saving up for a used car. Write an equation that helps her figure out how many hours she'll have to work for the car she wants.

(a)

127.

Which of the following represents the formula for height derived from the formula for the volume of a pyramid? $V=\frac{1}{3}lwh$

a)

$h=\frac{3v}{lw}$

b)

$h=3lvw$

c)

$h=\frac{lvw}{3}$

d)

$h=\frac{1}{3}lvw$

128.

$\frac{2}{3}x-9=7$

Solve:

(a)

129.

Simplify:
$9x^2+8-12+2x$

a)

$9x^2+2x-4$

b)

$9x^2+2x+4$

c)

$7x-4$

d)

$9x^2-10x+8$

130.

Which of the following categories is the narrowest category that the number -9 belongs to?

a)

Integer

b)

Whole Number

c)

Natural Number

d)

Real Number

131.

$ab=ba$ represents the (a) property of multiplication.

132.

$a+0=a$ demonstrates the (a) property of addition.

133.

Solve for y:
$-\frac{y}{4}+1\ge0$

a)

$y\le4$

b)

$y\ge-\frac{1}{4}$

c)

$y\ge-4$

d)

$y\le\frac{1}{4}$

134.

How many inches are in 22 feet?

(a)

135.

Solve for x (Provide both solutions with a space between them):
$\left|2x-8\right|+1=7$

(a)

136.

What is the difference between an expression and an equation

a)

Expressions have an equal sign and equations do not

b)

Equations have an equal sign and expressions do not

137.

Solve for f:

42 = 7f

a)

294

b)

49

c)

35

d)

6

138.

Solve for r:

r - 11 = 5

a)

11

b)

14

c)

6

d)

16

139.

Simplify:

9p-8+8

a)

$9p+16$

b)

$9p-16$

c)

$9p\ +\ 1$

d)

$9p$

140.

Simplify:
$-9y+5y-7y+3y$

(a)

141.

Simplify:
$5\left(b+6\right)-3b$

(a)

142.

Simplify

(3x+15) + (4x+13)

a)

7x+ 28

b)

35x

c)

x+2

143.

Solve for x (write each solution with a space between them)

l 2x−1 l = 9

(a)

144.

Write the inequality for the graph.

a)

x ≥ 5

b)

x < 5

c)

x > 5

d)

x ≤ 5

145.

Write x ≤ 23 in words.

a)

x is greater than 23

b)

x is greater than or equal to 23

c)

x is less than 23

d)

x is less than or equal to 23

146.

Do I need to flip my sign?
3x ≥ 12

a)

Yes

b)

No

147.

What inequality is graphed?

a)

x > 2 and x < 4

b)

2 ≤ x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

148.

Pick the correct letter for:

6 > x

a)

A

b)

B

c)

C

d)

D

149.

Identify the property
a + b = b + a

a)

Identity of addtion

b)

commutative of addition

c)

associative of addition

d)

symmetric

150.

Identify the property
a + 0 = a

a)

identity of addition

b)

identity of multiplication

c)

inverse of addtion

d)

multiplication of zero

151.

Pick the answer that is an example of the commutative property of multiplication

a)

b + c + a = a + b + c

b)

a(b + c) = ab + ac

c)

a ⋅ b = b⋅ a

d)

a ⋅ 1 = a

152.

Simplify using the order of operations:
$3\times10+8-4^2$

(a)

153.

Identify the property
a + b = b + a

a)

Identity of addtion

b)

commutative of addition

c)

associative of addition

d)

symmetric

154.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

155.

Which of the following does the graph represent?

a)

x > -3 or x > 1

b)

x < -3 or x < 1

c)

x ≥ 3 and x ≤ 1

d)

x > -3 and x < 1

Algebra 2 Exam Review

Total questions: 155

Worksheet time: 5hrs 58mins

Similar Resources on Wayground