Free Printable SOL Review

1.

What is the solution to 3(2x-1) = 3

a)

x = 1/3

b)

x = 2/3

c)

x = 1

d)

x = 5

2.

Which of the following binomials is a factor of $x^2-x\ -\ 6$ ?

a)

x -1

b)

x - 2

c)

x - 3

d)

x - 6

3.

Which expression is equivalent to $\frac{1}{6}\left(30x\ -\ 24y\right)\ -\ \frac{1}{8}\left(32x\ -16y\right)?$

a)

x - 6y

b)

x - 2y

c)

2x - 4y

d)

9x - 6y

4.

Which is equivalent to the $\sqrt[3]{48}$ in simplest form?

a)

$2\sqrt[3]{6}$

b)

$6\sqrt[3]{2}$

c)

16

d)

24

5.

What is the value of $\sqrt[]{128}$ in simplest radical form?

a)

$8\sqrt[]{2}$

b)

$64\sqrt[]{2}$

c)

4 $\sqrt[]{8}$

d)

$16\sqrt[]{8}$

6.

Which is a factor of $2n^2-5n-42$ ?

a)

2n - 7

b)

2n - 6

c)

n - 7

d)

n - 6

7.

Which of the following is equivalent to $\frac{a^{12}b^2}{a^3b^6}$

a)

$\frac{a^9}{b^4}$

b)

$\frac{b^4}{a^9}$

c)

$\frac{a^4}{b^3}$

d)

$a^9b^4$

8.

Which is the value of this expression when n = -15?

$-2\left|n+6\right|$

a)

-42

b)

-18

c)

18

d)

42

9.

Which graph represents the equation 4x + 5y = -20?

a)

A

b)

B

c)

C

d)

D

10.

What is the solution set to this system of equation?

$2x\ +\ 4y\ =\ 22$

7x + y = 12

a)

(3, 4)

b)

(2, -2)

c)

(1, 5)

d)

(-1, 6)

11.

The graph of $y\ =\ -x^2-2x\ +\ 8$ is shown. Identify the solutions.

a)

-4

b)

0

c)

8

d)

2

12.

What value of x makes this equation true?

$3x\ -\ 20\ =-2x$

a)

-20

b)

-4

c)

4

d)

20

13.

Which relation is a function?

a)

A

b)

B

c)

C

d)

D

14.

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

15.

Simplify.

a)

A

b)

B

c)

C

d)

D

16.

a)

-5

b)

-3

c)

3

d)

5

17.

a)

(x-3)(2x+2)

b)

(2x+6)(x+1)

c)

2(x+3)(x-1)

d)

2(x-3)(x-1)

18.

Simplify.
(3x² - 2x) - (-2x² + 3x)

a)

x² + x

b)

5x² + x

c)

5x² - 5x

d)

x² - 5x

19.

Write in general form:(x + 5)(x + 4)

a)

x² + x + 20

b)

x² + 20x + 9

c)

x² + 9x + 20

d)

x² - 9x + 54

20.

√28

a)

7√2

b)

7√4

c)

4√7

d)

2√7

21.

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)

22.

What is the solution to the following inequality?

-4x + 10 < 6x - 10

a)

x > 2

b)

x < 2

c)

x > 10

d)

x < 10

23.

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)

24.

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}

25.

Evaluate the expression

a)

-23.29

b)

-19.41

c)

-28

d)

-95.24

26.

What value of p will make this equation true?

a)

-10

b)

-6

c)

2

d)

10

27.

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

a)

3/5

b)

-3/5

c)

7

d)

-7

28.

What is the range of this relation?

a)

{x| -3 ≤ x ≤ 3}

b)

{-3, 2, 0, 3}

c)

{y| -4 ≤ y ≤ 4}

d)

{-4, 0, 2, 4}

29.

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

a)

-56

b)

-88

c)

-176

d)

-352

30.

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

a)

A

b)

B

c)

C

d)

D

31.

a)

A

b)

B

c)

C

d)

D

32.

a)

26

b)

44

c)

13,635

d)

11,385

33.

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.

34.

a)

A

b)

B

c)

C

d)

D

35.

Factor: 3x² + 8x - 16

a)

(x + 2)(3x - 4)

b)

(3x - 4)(x + 4)

c)

(3x + 2)(x + 4)

d)

(3x + 4)(x - 4)

36.

What is the slope a horizontal line?

a)

-1

b)

undefined

c)

1

d)

0

37.

Give the solution to the system

a)

(3,1)

b)

(1,3)

c)

(-1,3)

d)

a hoppy hippo

38.

Simplify
-11√21 - 11√21

a)

0

b)

-22√21

c)

√21

d)

Already simplified

39.

Simplify
-10√7 + 12√7

a)

-2

b)

-2√7

c)

2√7

d)

Already simplified

40.

Simplify
-3√6 + 3√6

a)

0

b)

√6

c)

-6√6

d)

Already simplified

41.

Simplify
3√8 + 3√2

a)

9√2

b)

6√10

c)

5√2

d)

Already simplified

42.

Simplify

a)

√5

b)

-3√6

c)

√6

d)

6

43.

Simplify:
√10 ⋅ √45

a)

3√50

b)

8√2

c)

√450

d)

15√2

44.

Simplify:
√6 ⋅√6

a)

√36

b)

2√3

c)

12

d)

6

45.

√3 × √15 =

a)

3√5

b)

5√3

c)

2√7

d)

√17

46.

Find the slope:
(-3, 3) and (7, 6)

a)

3/4

b)

-4/3

c)

3/10

d)

-10/3

47.

Find the slope:
(2, -7) and (-1, 6)

a)

-13/3

b)

3/13

c)

-1/3

d)

1/3

48.

Find the slope:
(-1,-9) and (5, -6)

a)

-15/4

b)

1/2

c)

-3/6

d)

11/3

49.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

50.

Convert the standard form equation into slope-intercept form.
x + 5y = -25

a)

y = -⅕x - 5

b)

y = -x - 5

c)

x = 20

d)

y = 27, 239, 430

51.

what is the slope of the following 12x - 6y = 30

a)

2

b)

-2

c)

12

d)

-12

52.

Convert the standard form equation into slope-intercept form.
x + 5y = -25

a)

y = -⅕x - 5

b)

y = -x - 5

c)

x = 20

d)

y = 27, 239, 430

53.

what is the slope of the following 12x - 6y = 30

a)

2

b)

-2

c)

12

d)

-12

54.

what is the first step to solve for slope intercept form on

-x + 4y = 11

a)

subtract 11 from both sides

b)

add x to both sides

c)

subtract x from both sides

d)

put in th y=

55.

which of the following is the best first step to solve for y = mx +b? equation is -2x - 4y = -12

a)

add 4y to both sides

b)

subtract 2x from both sides

c)

add 2x to both sides

d)

divide by -4

56.

a)

y=-3x+1

b)

y=3x+1

c)

y=1/3x+1

d)

y=-1/3x-1

57.

a)

y=-5x+5

b)

y=-x+5

c)

y=x+1

d)

y=-x+1

58.

Determine the slope and y-intercept from the following equation: 4x + y = -10

a)

slope: 4 y-intercept: (0,10)

b)

slope: -4 y-intercept: (0,-10)

c)

slope: -4 y-intercept: (0,10)

d)

slope: 4 y-intercept: (0,-10)

59.

What is the y - intercept?

a)

0

b)

5

c)

- 4

d)

4

60.

Which equation matches the table?

a)

y = x

b)

y = 5x

c)

y = x - 4

d)

y = x + 4

61.

Write the equation of the line represented by this table.

a)

y= 3x+5

b)

y = -3x + 5

c)

y= 8x - 1

d)

y = 3x + 14

62.

Determine the slope.

a)

-5

b)

5

c)

-1/5

d)

1/5

63.

What is the equation of the linear function?

a)

y = -3x + 10

b)

y = -3x + 16

c)

y = 3x + 10

d)

y = 3x + 16

64.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

65.

Which equation matches the graph? (Click me to see the image)

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = -2x

66.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

67.

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

a)

A

b)

B

c)

C

d)

D

68.

Identify the slope of the following graph.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

69.

Identify the slope of the following graph.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

70.

Identify the slope of the following graph.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

71.

Find the slope

a)

4/5

b)

5/4

c)

-5/4

d)

-4/5

72.

Find the slope

a)

-3/4

b)

4/3

c)

3/4

d)

-4/3

73.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

74.

Find the slope

a)

2

b)

-2

c)

1/2

d)

-1/2

75.

Find the slope

a)

4/5

b)

5/4

c)

-5/4

d)

-4/5

76.

Find the slope:

a)

2

b)

-2

c)

1/2

d)

-1/2

77.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

78.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

79.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

80.

7 is less than a number.

a)

x > 7

b)

x < 7

c)

x ≤ 7

d)

x ≥ 7

81.

Which inequality represents the picture shown?

a)

x ≤−5x\ \le-5

x ≤−5

b)

x≥−5x\ge-5

x≥−5

c)

x<−5x<-5

x<−5

d)

x>−5x>-5

x>−5

82.

Which inequality represents the picture shown?

a)

x ≤−5x\ \le-5

x ≤−5

b)

x≥−5x\ge-5

x≥−5

c)

x<−5x<-5

x<−5

d)

x>−5x>-5

x>−5

83.

When you graph an inequality, you used a solid line when you use which symbols?

a)

≤, ≥

b)

<, >

84.

Is (-2,4) a solution to the system?

a)

Solution

b)

Not a solution

85.

Will my line be solid?
5 ≥ x

a)

Yes

b)

No

86.

What is the equation for this inequality graph?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

87.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

88.

Which point below is NOT a part of the solution set?

a)

(0, 0)

b)

(0, 1)

c)

(-1, -3)

d)

(5, 5)

89.

Which of the following equations match the given graph?

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

90.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

91.

The line x = -3 is...

a)

Horizontal

b)

Vertical

92.

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

93.

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸/h³

a)

add

b)

subtract

c)

multiply

d)

divide

94.

(6r)(5r²)

a)

30r³

b)

30r²

c)

11r³

d)

11r²

95.

a)

x⁴

b)

x⁸

c)

x¹²

d)

x²⁰

96.

Simplify: (-5a³)² (3a⁶b)²

a)

60a¹⁸b²

b)

225a¹⁸b²

c)

-225a¹³b²

d)

-60a¹⁷b²

97.

Simplify: (3x⁴y⁵)²

a)

9x⁸y¹⁰

b)

6x⁸y¹⁰

c)

9x⁶y⁷

d)

6x⁶y⁷

98.

Simplify:

a)

9a⁶

b)

9a⁵

c)

64a⁶

d)

6a⁵

99.

Simplify 2n⁴ * 5n⁴

a)

7n⁴

b)

10n¹⁶

c)

10n⁸

d)

none of the above

100.

Simplify
$\frac{45x^6y^9}{5x^4y^2}$

a)

(9x²)/y⁷

b)

40x²y⁷

c)

9x²y⁷

d)

9x¹⁰y¹¹

101.

$\frac{8g^4h^3m^7}{-4g^4h^3m^6}$

a)

-2m

b)

2ghm

c)

-32g⁸h⁶m¹³

d)

no solution

102.

Which polynomial is written in standard form?

a)

8x - 11x²

b)

4x³ + 7x - 9

c)

12 + 4x

d)

13x + 7x² - 9x³ + 12

103.

(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

104.

Add the polynomial (-3x + 4) + (8x - 5)

a)

5x - 9

b)

5x - 1

c)

11x - 1

d)

11x - 9

e)

None of these

105.

(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

106.

a)

23x^5_11x

b)

-5x⁵-x

c)

23x⁵+11x

d)

5x⁵+x

107.

a)

-10x²-9

b)

10x²-9

c)

-5x²-2x-6

d)

-5x²-4x-9

108.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

109.

Find the product:

$\left(3x\ +\ 2\right)\left(2x\ +\ 4\right)$

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

110.

Find the product.

$\left(3x\ -\ 1\right)\left(x\ +\ 5\right)$

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

111.

Find the product:

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

a)

x²+16

b)

x²-16

c)

x²+8x+16

d)

x²+8x-16

112.

Find the product:

$\left(7r\ -\ 6\right)\left(7r\ +\ 6\right)$

a)

49r²+ 36

b)

49r²- 36

c)

49r²+ 84r + 36

d)

49r²+ 42r + 36

113.

Find the product:
$\left(8x-7\right)\left(2-6x+9x^2\right)$

a)

$9x^3+14x^2-7x+14$

b)

$72x^3-111x^2+58x-14$

c)

$x^3+2x^2-5x+2$

d)

$3x^3-2x^2+7x-9$

114.

3⁻⁴

a)

1 ⁄ 81

b)

-81

c)

81

d)

1 ⁄ 12

115.

Simplify x^-7

a)

-7

b)

-7x

c)

1/x⁷

d)

-1/x⁷

116.

Simplify (-9)⁰

a)

-9

b)

-1

c)

1

d)

9

117.

Simplify

a)

7a⁵/b³

b)

b³/7a⁵

c)

7b³/a^-⁵

d)

7b³ /a⁵

118.

Simplify

a)

1/12⁷

b)

12⁷

c)

12⁸

d)

1/12⁷

119.

Simplify

a)

6k¹¹

b)

6/k¹¹

c)

k¹¹

d)

6k¹⁰

120.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

121.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a Function

122.

.

a)

Function

b)

Not a Function

123.

$f\left(x\right)=5x-12$ What is $f\left(-4\right)$

a)

-32

b)

-3

c)

-12

d)

3

124.

Is this is a function or not a function?

a)

Function

b)

Not a Function

125.

Is this a function or not a function?

a)

Function

b)

Not a Function

126.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

127.

Which of the following is a function?

a)

b)

c)

d)

128.

Is the following a function?

a)

Yes, this is a function.

b)

No, it's not a function.

c)

Can't be determined with this information.

129.

Which is a function?

a)

W

b)

X

c)

Y

d)

Z

130.

A system has ____________ when two lines intersect at one point.

a)

One solution

b)

No solution

c)

Infinitely Many Solution

131.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

132.

Solve the system of Equation (x,y)
3x + y = –14
–2x – y = 9

a)

(-5,1)

b)

(5,-1)

c)

(1,4)

d)

(-1,4)

133.

Solve the system of Equation (x,y)

x + 4y = –3

x + 7y = –12

a)

(-3,9)

b)

(9,-3)

c)

(3,9)

d)

(9,3)

134.

$\ u\ =\ bak\$ Solve for a

a)

$a=\frac{u}{bk}$

b)

$a\ =\ \frac{bk}{u}$

c)

$a\ =\ -\frac{bk}{u}$

d)

$a=-\frac{u}{bk}$

135.

$Given\ ax-b=c,\ solve\ for\ x.\$

a)

$x\ =\ \frac{c+b}{a}$

b)

$x\ =\ \frac{c-b}{a}$

c)

$x\ =\ \frac{a+b}{c}$

d)

$x\ =\ \frac{c+a}{b}$

136.

$Given\ xy\ +\ w\ =\ 9,\ solve\ for\ y.$

a)

$y=\frac{9+w}{x}$

b)

$y=\frac{9-x}{w}$

c)

$y=\frac{9-w}{x}$

d)

$y=\frac{9+x}{wy}$

137.

$Given\ V=lwh,\ solve\ for\ l.$

a)

$l=\frac{Vw}{h}$

b)

$l=\frac{V}{wh}$

c)

$l=\frac{Vh}{w}$

d)

$l=\frac{wh}{V}$

138.

6 pencils costs 36 cents. How much do 2 pencils cost?

a)

6

b)

12

c)

3

d)

8

139.

8 sweets cost 72 cents. How much do 6 sweets cost?

a)

45

b)

54

c)

36

d)

24

140.

Solve: $\frac{\left(x+1\right)}{\left(2\right)}=\frac{x+5}{3}$

a)

7

b)

-3

c)

4.1

d)

6

141.

Y varies directly with x, and y is 16 when x is 32. Which equation represents this situation?

a)

y = 32x

b)

y = 16x

c)

y = 2x

d)

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

142.

Is this direct variation?

a)

Yes

b)

No

143.

Is this a direct variation

a)

Yes

b)

No

144.

A dishwasher uses 65 gallons of water to wash 5 loads of dishes. What is the constant of variation?

a)

K=13

b)

k=65

c)

k=5

d)

k= $\frac{1}{13}$

145.

Solve the equation using the zero product property.
(x- 9)(x + 3) = 0

a)

x = 3 or x = 9

b)

x = 3 or x = -9

c)

x + -3 or x = 9

d)

x = -3 or x = -9

146.

The solutions of the quadratic equation
x²+2x-15=0 are

a)

x = 3 or x = 5

b)

x = 5 or x = -3

c)

x = -5 or x = 3

d)

x = -3 or x = -5

147.

What are the zeros of this graph?

a)

x = {-4, 2}

b)

(-4, 0 ) and (2, 0)

c)

x = {-1, 0}

d)

(-1, 9 ) and (0, -8)

148.

Choose the linear equation that is parallel to the following line

$y=-\frac{1}{4}x-1$

a)

$y=-\frac{1}{4}x+5$

b)

$y=\frac{1}{4}x-1$

c)

$y=-4x-1$

d)

$y=4x-1$

149.

Perpendicular lines have ___________ slopes.

a)

identical

b)

different

c)

opposite reciprocal

d)

similar

150.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

151.

A line is perpendicular to y = 2x - 7.

What is the slope of the perpendicular line?

a)

-2

b)

1/2

c)

-1/2

d)

2

SOL Review

Total questions: 151

Worksheet time: 9hrs 32mins

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