Free Printable Algebra SOL review

1.

The graph of y = x² - 2x - 8 is shown.
What are the solutions to x² - 2x - 8 = 0?

a)

x = 1 and x = -9

b)

x = 0 and x = -8

c)

x = -2 and x = 4

d)

x = -4 and x = 2

2.

What value of p will make this equation true?

a)

-10

b)

-6

c)

2

d)

10

3.

What is the slope of the line represented by this equation?
3x + 5y = -7

a)

3/5

b)

-3/5

c)

7

d)

-7

4.

a)

Six less than product of 2 and the square of a number,x.

b)

The product of 2 and the square of a number,x less than 6.

c)

The product of 2 times a number and 6.

d)

The difference of 2 and a number less than 6.

5.

a)

A

b)

B

c)

C

d)

D

6.

Factor: 3x² + 8x - 16

a)

(x + 2)(3x - 4)

b)

(3x - 4)(x + 4)

c)

(3x + 2)(x + 4)

d)

(3x + 4)(x - 4)

7.

What is the slope a horizontal line?

a)

-1

b)

undefined

c)

1

d)

0

8.

Which relation is a function?

a)

A

b)

B

c)

C

d)

D

9.

Simplify.
(3x² - 2x) - (-2x² + 3x)

a)

x² + x

b)

5x² + x

c)

5x² - 5x

d)

x² - 5x

10.

√28

a)

7√2

b)

7√4

c)

4√7

d)

2√7

11.

What is the solution of this system of equations?

x + 2y = 23

4x - y = -7

a)

(1, 11)

b)

(-11, 1)

c)

(-1, -11)

d)

(11, 1)

12.

Which is a solution to this system of equations?

y = 2x

y = 9x - 7

a)

(4, 8)

b)

(1, 2)

c)

(3, 20)

d)

(2, 1)

13.

a)

a

b)

b

c)

c

d)

d

14.

a)

a

b)

b

c)

c

d)

d

15.

a)

a

b)

b

c)

c

d)

d

16.

Select all that apply.

a)

-2,2

b)

-4,4

c)

-6,6

d)

-9,9

17.

a)

a

b)

b

c)

c

d)

d

18.

a)

a

b)

b

c)

c

d)

d

19.

a)

a

b)

b

c)

c

d)

d

20.

a)

a

b)

b

c)

c

d)

d

21.

a)

a

b)

b

c)

c

d)

d

22.

a)

a

b)

b

c)

c

d)

d

23.

a)

a

b)

b

c)

c

d)

d

24.

a)

a

b)

b

c)

c

d)

d

25.

a)

a

b)

b

c)

c

d)

d

26.

a)

a

b)

b

c)

c

d)

d

27.

a)

a

b)

b

c)

c

d)

d

28.

a)

a

b)

b

c)

c

d)

d

29.

5m + 9n if m = -7 and n = 4

a)

71

b)

1

c)

-1

d)

-71

30.

a)

18

b)

-18

c)

27

d)

-27

31.

a²-b²Evaluate if a=4 and b =-2

a)

4

b)

20

c)

-4

d)

12

32.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6 + n

c)

6m + n

d)

m + 6 + n

33.

5 less than the product of 7 and s

a)

7s - 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

34.

Five times Mike's age, increased by nine

a)

5(x+9)

b)

9(5+x)

c)

9x+5

d)

5x+9

35.

The algebraic expression 6x - 4 can be written as which of the following?

a)

x to the sixth power decreased by four

b)

The product of six and a number x decreased by four

c)

Six times a number x less than four

d)

four less than six

36.

Which expression is equivalent to $\frac{x^2y^2z^2}{4y^4}$ ?

a)

$4y^6$

b)

$y^6$

c)

$\frac{x^2z^2}{4y^2}$

d)

$4x^2y^6z^2$

37.

Simplify: $4x^5\cdot6x^{10}$

a)

$24x^{15}$

b)

$10x^{15}$

c)

$\sqrt{24x^{15}}$

d)

$\sqrt{10x^{15}}$

38.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

39.

$\left(7x^3\right)^0$

a)

1

b)

7

c)

$21x^3$

d)

$x^{10}$

40.

$\frac{1}{a^{-5}}$

a)

$a^{-5}$

b)

$\frac{a}{5}$

c)

$a^5$

d)

$\frac{5}{a}$

41.

Which phrase verbally translates this algebraic expression

a)

One fourth times the cube root of x less five

b)

One fourth of the cube root of x less than five

c)

Five subtract one fourth times the cube root of x

d)

Five less than one fourth times the cube of x

42.

√28

a)

7√2

b)

7√4

c)

4√7

d)

2√7

43.

What is the solution of this system of equations?

x + 2y = 23

4x - y = -7

a)

(1, 11)

b)

(-11, 1)

c)

(-1, -11)

d)

(11, 1)

44.

What is the solution to the following inequality?

-4x + 10 < 6x - 10

a)

x > 2

b)

x < 2

c)

x > 10

d)

x < 10

45.

Which graph best models
$y\le\frac{2}{7}x-2$ ?

a)

b)

c)

d)

46.

Find the slope of the line containing these two points:
(-5, 1) and (-6, -3)

a)

m = 4/11

b)

m = 1/4

c)

m = -2

d)

m = 4

47.

Which of the following solutions fits the graph shown?

a)

x < -2

b)

x > -2

c)

x ≤ -2

d)

x ≥ -2

48.

Simplify. (2x) (3x³y) (y³)

a)

6x⁴y³

b)

6x⁴y⁴

c)

5x⁴y⁴

d)

5x³y³

49.

What value of p will make this equation true?

a)

-10

b)

-6

c)

2

d)

10

50.

What is the slope of the line represented by this equation?
3x + 5y = -7

a)

3/5

b)

-3/5

c)

7

d)

-7

51.

Simplify: y · 3 $y^2$ · 7 $y^5$

a)

$10y^8$

b)

$11y^{10}$

c)

$21y^7$

d)

$21y^8$

52.

Simplify: $\left(x^{12}\right)^6$

a)

$x^{18}$

b)

$x^6$

c)

$x^{72}$

d)

$6x^{72}$

53.

Simplify: 2y(y + 3) + y(5 − y)

a)

$y^2+y$

b)

$y^2+11y$

c)

$y^4+11y^2$

d)

$3y^2+y$

54.

a)

$10x^3y^2$

b)

$14x^8y^6$

c)

$10x^4y^3$

d)

$14x^3y^2$

55.

a)

$3x^6y^6$

b)

$\frac{3x^6}{y^6}$

c)

$2x^6y^9$

d)

$\frac{3}{x^6y^6}$

56.

Identify the value of n needed to make the statement true :

$\left(y^4\right)^n=y^{20}$

a)

n=16

b)

n=4

c)

n=5

d)

n=3

57.

Select ALL the statements that are true

a)

$3y+6y=9y^2$

b)

$2x^2-4x^2=-2x^2$

c)

$3xy+5xy=8xy$

d)

$10x-5y=5xy$

e)

$10xy^2+2xy^2=12xy^2$

58.

$\left(x+3\right)^2=$

a)

$x^2+9$

b)

$x^2+9x+9$

c)

$x^2-6x+9$

d)

$x^2+6x+9$

59.

$\left(2x-3\right)\left(x^2+2x-3\right)$

a)

$2x^3-2x^2-12x-9$

b)

$2x^2-12x-9$

c)

$2x^3-2x^4-12x^2-9$

60.

$\left(4x^2-6x\right)-\left(2x^2+2x\right)=$

a)

$2x^2-4x$

b)

$6x^2-8x$

c)

$2x^4-8x^2$

d)

$2x^2-8x$

61.

(2x + 5y - z) + (-6x - 4y + 7z)

a)

-4x +6y + 6z

b)

4x + y + 6z

c)

-4x - y + 6z

d)

-4x + y + 6z

e)

None of these

62.

Add the following polynomials:

(x³-2x²+3)+(2x³+3x²-1)

a)

3x³-2x²+3x+2

b)

3x³+x²+2

c)

3x³-5x²-2

d)

3x³-x²+1

e)

None of these

63.

Simplify the expression.

(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

a)

11a³ - 4a² - 14a - 7

b)

5a³ - 4a² - 14a - 7

c)

5a³ - 4a² - 20a - 7

d)

5a³ - 9a² - 20a - 7

64.

Add or Subtract to Simplify:
(4x²+ x) - (x²+ 2x)

a)

3x²- x

b)

4x²+ 2x

c)

3x² + 3x

d)

3x² + 2x

65.

(3x + 4y - 3z) - (2x - 6y + 7z)

a)

x + 10y - 10z

b)

-x +10y - 10z

c)

x -10y - 10z

d)

-x -10y - 10z

66.

(x³-x²+4) - (3x³-2x²+3)

a)

-2x³-3x²+7

b)

-2x³+x²+1

c)

2x³-3x³-1

d)

4x³-3x²+7

67.

(x +2)(x + 3)

a)

x² + 5x + 6

b)

x² + x + 6

c)

x² + 5x + 5

d)

x² + 6x + 6

68.

(4x+1)(5x−2)

a)

20x² + 3x − 2

b)

20x² − 11x + 5

c)

20x² − 18x + 2

d)

20x² − 3x − 2

69.

a)

5p²- 16p

b)

5p + 4

c)

5p - 4

d)

5p + 4p

70.

a)

5w² − 4w + 3

b)

12w² − 9w + 6

c)

12w² − 12w + 9

d)

5w² − 12w+ 9

71.

What is f(-8) for the function f?

a)

-56

b)

-88

c)

-176

d)

-352

72.

Which graph appears to show a relation that is NOT a function?

a)

A

b)

B

c)

C

d)

D

73.

a)

17

b)

-33

c)

-39

d)

-89

74.

a)

26

b)

44

c)

13,635

d)

11,385

75.

a)

Six less than product of 2 and the square of a number,x.

b)

The product of 2 and the square of a number,x less than 6.

c)

The product of 2 times a number and 6.

d)

The difference of 2 and a number less than 6.

76.

What is $\sqrt{18}$ written in simplest radical form?

a)

$2\sqrt{3}$

b)

$3\sqrt{2}$

c)

$3\sqrt{6}$

d)

$6\sqrt{3}$

77.

What is the value of this expression when a = 64 and b = -5?
$-2\cdot\ ^3\sqrt{a}+\ b^2\ \ \ \left(cube\ root\right)$

a)

-17

b)

17

c)

7

d)

-7

78.

Which relation is a function?

a)

A

b)

B

c)

C

d)

D

79.

Which phrase verbally translates this algebraic expression

a)

One fourth times the square root of x less five

b)

One fourth of the cube root of x less than five

c)

Five subtract one fourth times the cube root of x

d)

Five less than one fourth times the cube of x

80.

What is the range of the graph?

a)

All real numbers

b)

y≤0

c)

y ≥ 0

d)

x ≥ 0

81.

√28

a)

7√2

b)

7√4

c)

4√7

d)

2√7

82.

What is the equation that would represent all the ordered pairs below?

(-3, -14), (-1, -4), (0, 1), (2, 11), (5, 26)

a)

y = 5x + 1

b)

y = 3x - 5

c)

y = 4x

d)

y = x + 1

83.

What value of p will make this equation true?

a)

-10

b)

-6

c)

2

d)

10

84.

What is the slope of the line represented by this equation?

3x + 5y = -7

a)

3/5

b)

-3/5

c)

7

d)

-7

85.

Which is the simplest form of the given radical?

a)

A

b)

B

c)

C

d)

D

86.

a)

y≥x−1

b)

y≤x−1

c)

y>x−1

d)

y≤x+1

87.

a)

Function

b)

Not a Function

88.

Simplify the exponential expression.

a)

2x⁶y¹²

b)

2x⁵y⁷

c)

8x⁶y¹²

d)

8x⁵y⁷

89.

Find the product.
(m-8)(m-9)

a)

m²+17m-72

b)

m²-17m-72

c)

m²-17m+72

d)

m²-72

90.

Which equation represents the line that passes through the points (-4, 4) and (8, -2)?

a)

y = -2x + 14

b)

y = -2x - 4

c)

y = (-1/2)x + 2

d)

y = (-1/2)x - 2

91.

What is the x-intercept?

a)

12

b)

-3

c)

8

d)

0

92.

The number of complaints a company received at the end of each of six weeks is shown in this table.
Based on the line of best fit, how many complaints should the company expect at the end of week 8?

a)

75

b)

91

c)

96

d)

110

93.

Look at function g.
g(x) = 9x² - 16
Which set contains only the zeros of function g?

a)

{-4/3, 4/3}

b)

{-4/3, 0, 4/3}

c)

{-16, 9}

d)

{-16, 0, 9}

94.

Evaluate the expression

a)

-23.29

b)

-19.41

c)

-28

d)

-95.24

95.

a)

A

b)

B

c)

C

d)

D

96.

a)

A

b)

B

c)

C

d)

D

97.

a)

A,B

b)

A,C

c)

B,C

d)

B,D

98.

a)

A

b)

B

c)

C

d)

D

99.

If f(x)=6x²-4,
what is f(-1)?

a)

-2

b)

13

c)

2

d)

0

100.

a)

-5

b)

-3

c)

3

d)

5

101.

What is the range of the graph?

a)

All real numbers

b)

y≤0

c)

y ≥ 0

d)

x ≥ 0

102.

What is the solution of this system of equations?

x + 2y = 23

4x - y = -7

a)

(1, 11)

b)

(-11, 1)

c)

(-1, -11)

d)

(11, 1)

103.

Which graph appears to show a relation that is NOT a function?

a)

A

b)

B

c)

C

d)

D

104.

a)

y≥x−1

b)

y≤x−1

c)

y>x−1

d)

y≤x+1

105.

What is the x-intercept of the equation?

3x - 3y = 21

a)

x = 7 or (7, 0)

b)

x = 3 or (3, 0)

c)

x = -7 or (-7, 0)

d)

None of these.

106.

Find the equation of the line that passes through the points:

(-3, 3) and (3, -1)

a)

y = -⅔ x + 1

b)

y = -⅔ x

c)

y = ⅔ x + 1

d)

y = -⅔ x +3

107.

What are the domain values for this graph?

a)

-4,-1,4,5,8

b)

-6,0,2,3,4

c)

1,0,9,-4,5

d)

-6,0,4,5,8

108.

What is the domain of the graph?

a)

x≤0

b)

x≥0

c)

All real numbers

109.

What is the range of the following graph?

a)

all real numbers

b)

y ≥ 3

c)

y ≤ 3

d)

y ≥ 15

110.

What is the x-intercept of the equation?
3x - 3y = 21

a)

x = 7 or (7, 0)

b)

x = 3 or (3, 0)

c)

x = -7 or (-7, 0)

d)

None of these.

111.

What is the range of the graph?

a)

y ≥ -6

b)

All real numbers

c)

-8 ≤ y ≤ 4

d)

y ≤ -6

112.

What is the x-intercept of the equation?

3x - 3y = 21

a)

x = 7 or (7, 0)

b)

x = 3 or (3, 0)

c)

x = -7 or (-7, 0)

d)

None of these.

113.

What is the slope of the line through the points (2, 4) and (2, -11)?

a)

m = 0

b)

m = -15/0

c)

m = 13/2

d)

m is undefined

114.

What is the slope
4x + 2y = 12 ?

a)

-2

b)

4

c)

-4

d)

2

115.

What is the equation of the line?

a)

y = -3/4x + 3

b)

y = 4/5x + 3

c)

y = -4/5x + 3

d)

y = -4/5x

116.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

117.

Which graph represents 2x + 4y = 12?

a)

b)

c)

d)

118.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

$y=-\frac{1}{2}x+\frac{1}{2}$

b)

$y=\frac{1}{2}x+2$

c)

$y=-2x+7$

d)

$y=-2x+8$

119.

a)

4w-10

b)

-2w+10

c)

2w-10

d)

-4w + 10

120.

Solve for w

A = LW

a)

A =^L/_W

b)

w = ^L/_A

c)

w = A

d)

w = ^A/_L

121.

Simplify:
√10 ⋅ √45

a)

3√50

b)

8√2

c)

√450

d)

15√2

122.

Simplify
3√2 - 3√18

a)

-4√8

b)

4√9-6√3

c)

5√12

d)

-6√2

123.

Simplify
-2√5+3√20

a)

-2√8

b)

-6√36

c)

-6√-12

d)

4√5

124.

Simplify:
6√2 ⋅5√14

a)

32√7

b)

60√7

c)

2√7

d)

30√7

125.

What are the factors of x² + 4x + 3

a)

(x + 1)(x + 3)

b)

(x - 1)(x - 3)

c)

{1, 3}

d)

{-1, -3}

126.

Write an expression that represents "three times the sum of a number, x, and four"

a)

3x + 4

b)

3(x + 4)

c)

3(x)(4)

d)

3 + 4x

127.

Simplify -3|2x - 8| when x = -4

a)

48

b)

0

c)

-48

d)

48 or -48

128.

What is the slope of the line for this equation? 5x + 10 = 3x

a)

-5

b)

0

c)

undefined

d)

5

129.

Factor 6x² + 7x - 3

a)

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

b)

(x + 9)(x - 2)

c)

(6x + 3)(x - 1)

d)

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

130.

a)

A

b)

B

c)

C

d)

D

131.

a)

A

b)

B

c)

C

d)

D

132.

a)

A

b)

B

c)

C

d)

D

133.

a)

A

b)

B

c)

C

d)

D

134.

a)

A

b)

B

c)

C

d)

D

135.

a)

A

b)

B

c)

C

d)

D

136.

a)

A

b)

B

c)

C

d)

D

137.

a)

A

b)

B

c)

C

d)

D

138.

a)

A

b)

B

c)

C

d)

D

139.

a)

A

b)

B

c)

C

d)

D

140.

a)

A

b)

B

c)

C

d)

D

141.

a)

A

b)

B

c)

C

d)

D

142.

What is the solution to the system of equations?

a)

(2, -6)

b)

(3, -7)

c)

(-6, 2)

d)

(-7, 3)

143.

a)

A

b)

B

c)

C

d)

D

144.

a)

y < 2x + 2 and y < x

b)

y < 2x and y ≤ x

c)

y ≤ x - 2 and y > -x

d)

y < 2x + 2 and y > -x

145.

a)

F

b)

G

c)

H

d)

J

146.

a)

A

b)

B

c)

C

d)

D

147.

a)

F

b)

G

c)

H

d)

J

148.

a)

A

b)

B

c)

C

d)

D

149.

a)

F

b)

G

c)

H

d)

J

150.

a)

F

b)

G

c)

H

d)

J

151.

a)

F

b)

G

c)

H

d)

J

152.

a)

F

b)

G

c)

H

d)

J

153.

a)

F

b)

G

c)

H

d)

J

154.

a)

A

b)

B

c)

C

d)

D

155.

a)

F

b)

G

c)

H

d)

J

156.

a)

A

b)

B

c)

C

d)

D

157.

a)

F

b)

G

c)

H

d)

J

158.

a)

A

b)

B

c)

C

d)

D

159.

a)

A

b)

B

c)

C

d)

D

160.

Determine the curve of best fit.

a)

y = -2.7x + 7.4

b)

y = 0.95x²- 2.08x - 0.75

c)

y = -0.05x - 3.26

d)

y = 0.95x²+ 2.08x + 0.75

Algebra SOL review

Total questions: 160

Worksheet time: 9hrs 37mins

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