Free Printable 2 Variable Inequality Test

1.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

2.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

3.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

4.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

5.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

6.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

7.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

8.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

9.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

10.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

11.

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

12.

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

13.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, -1)

d)

(5, 20)

14.

What kind of line does this graph have?

a)

Dotted

b)

Solid

15.

Match

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

16.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, 20)

c)

(3, 5)

d)

(0, -2)

17.

What kind of line does the graph have?

a)

Dotted

b)

Solid

18.

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

a)

(0, 0)

b)

(0, 1)

c)

(-100, -3)

d)

(5, 10)

19.

Match

a)

y ≤ 2x - 4

b)

y ≥ 2x - 4

c)

y < 2x - 4

d)

y > 2x - 4

20.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

21.

Which point below is NOT part of the solution set?

a)

(0, -2)

b)

(1, 1)

c)

(3, 3)

d)

(2, 10)

22.

Which point below is NOT part of the solution set?

a)

(3, 4)

b)

(0, 4)

c)

(-2, 6)

d)

(6, 2)

23.

Is (-1, 0) a solution to this inequality?

a)

Yes

b)

No

24.

Is (-2, 4) a solution to this inequality?

a)

Yes

b)

No

25.

Is (0, 0) a solution to this inequality?

a)

Yes

b)

No

26.

Is (1, 6) a solution to this inequality?

a)

Yes

b)

No

27.

Which of the following inequalities matches the graph?

a)

y < -4x - 1

b)

y > -4x - 1

c)

y ≤ -4x - 1

d)

y ≥ -4x - 1

28.

Which of the following inequalities matches the graph?

a)

y ≤ 3/4x + 5

b)

y ≥ 3/4x + 5

c)

y < 3/4x + 5

d)

y > 3/4x + 5

29.

Which of the following inequalities matches the graph?

a)

y > 2x - 2

b)

y < 2x - 2

c)

y ≥ 2x - 2

d)

y ≤ 2x - 2

30.

Which of the following inequalities matches the graph?

a)

y ≥ x + 2

b)

y ≤ x + 2

c)

y > x + 2

d)

y < x + 2

31.

Which of the following inequalities matches the graph?

a)

x > -2

b)

x < -2

c)

y > -2

d)

y < -2

32.

Which of the following inequalities matches the graph?

a)

x ≤ -4

b)

x ≥ -4

c)

y ≤ -4

d)

y ≥ -4

33.

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

34.

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

35.

Are the points on the boundary line part of the solution set or not?

a)

Yes, they are part of the solution set

b)

No, they are NOT part of the solution set

36.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

37.

Which of the following inequalities matches the graph?

a)

y < -4x - 1

b)

y < -(1/4)x - 1

c)

y < 4x - 1

d)

y < -4x - 1

38.

Which of the following inequalities matches the graph?

a)

4y + 3x < 20

b)

4y - 3x < 20

c)

4y + 3x > 20

d)

4y - 3x > 20

39.

Which of the following inequalities matches the graph?

a)

-2y > 2x - 2

b)

-2y > -4x + 4

c)

-2y < -4x + 4

d)

-2y ≤ 2x - 2

40.

Which of the following inequalities matches the graph?

a)

y > x + 2

b)

y < -x + 2

c)

y < 2x + 2

d)

y < x + 2

41.

Which of the following inequalities matches the graph?

a)

4x > -2

b)

4x < -8

c)

4y > -8

d)

4y < -2

42.

Which of the following inequalities matches the graph?

a)

-3x > 12

b)

-3x < 12

c)

-3y ≤ 12

d)

-3y ≥ 12

43.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

44.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

45.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

46.

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

47.

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

48.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, -1)

d)

(5, 20)

49.

What kind of line does this graph have?

a)

Dotted

b)

Solid

50.

Match

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

51.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, 20)

c)

(3, 5)

d)

(0, -2)

52.

What kind of line does the graph have?

a)

Dotted

b)

Solid

53.

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

a)

(0, 0)

b)

(0, 1)

c)

(-100, -3)

d)

(5, 10)

54.

Is (-1, 0) a solution to this inequality?

a)

Yes

b)

No

55.

Is (1, 6) a solution to this inequality?

a)

Yes

b)

No

56.

Which of the following inequalities matches the graph?

a)

x > -2

b)

x < -2

c)

y > -2

d)

y < -2

57.

Which of the following inequalities matches the graph?

a)

x ≤ -4

b)

x ≥ -4

c)

y ≤ -4

d)

y ≥ -4

58.

In order to make some extra money, Brayden is shoveling driveways. He charges $11 to shovel a small driveway and $26 to shovel a large driveway. He would like to make at least $130.

Write an inequality that describes the situation.

Let x = # of small driveways shoveled

Let y = # of large driveways shoveled

a)

11x + 26y ≥ 130

b)

11x + 26y ≤ 130

c)

11x + 26y > 130

d)

11x + 26y < 130

59.

Kandiz is determining the seating arrangement for her big dinner party. Circular tables will seat 8 guests and rectangular tables can seat 10 guests. Together, all of the tables must seat at least 162 guests.

Write an inequality that describes the situation.

Let x = # of circular tables

Let y = # of rectangular tables

a)

8x + 10y < 162

b)

8x + 10y > 162

c)

8x + 10y ≤ 162

d)

8x + 10y ≥ 162

60.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

61.

Which of the following inequalities matches the graph?

a)

y < -4x - 1

b)

y < -(1/4)x - 1

c)

y < 4x - 1

d)

y < -4x - 1

62.

Which of the following inequalities matches the graph?

a)

4y + 3x < 20

b)

4y - 3x < 20

c)

4y + 3x > 20

d)

4y - 3x > 20

63.

Which of the following inequalities matches the graph?

a)

-2y > 2x - 2

b)

-2y > -4x + 4

c)

-2y < -4x + 4

d)

-2y ≤ 2x - 2

64.

Which of the following inequalities matches the graph?

a)

y > x + 2

b)

y < -x + 2

c)

y < 2x + 2

d)

y < x + 2

65.

Which of the following inequalities matches the graph?

a)

4x > -2

b)

4x < -8

c)

4y > -8

d)

4y < -2

66.

Which of the following inequalities matches the graph?

a)

-3x > 12

b)

-3x < 12

c)

-3y ≤ 12

d)

-3y ≥ 12

67.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

68.

For this symbol,
$<$
do you shade above or below the line?

a)

below

b)

above

69.

For this symbol,
$\le$
do you shade above or below the line?

a)

below

b)

above

70.

For this symbol,
$\le$
do you shade above or below the line?

a)

below

b)

above

71.

For this symbol,
$>$
do you shade above or below the line?

a)

below

b)

above

72.

For this symbol,
$\ge$
do you shade above or below the line?

a)

below

b)

above

73.

For this symbol,
$\ge$
do you shade above or below the line?

a)

below

b)

above

74.

For this symbol,
$\le$
is it a solid line or a dashed line?

a)

b)

75.

For this symbol,
$\ge$
do you shade above or below the line?

a)

b)

76.

Which point below is NOT part of the solution set?

a)

(0, -2)

b)

(1, 1)

c)

(3, 3)

d)

(2, 10)

77.

Which of the following inequalities matches the graph?

a)

y < -4x - 1

b)

y > -4x - 1

c)

y ≤ -4x - 1

d)

y ≥ -4x - 1

78.

Is (1, 6) a solution to this inequality?

a)

Yes

b)

No

79.

Are the points on the boundary line part of the solution set or not?

a)

Yes, they are part of the solution set

b)

No, they are NOT part of the solution set

80.

Which of the following inequalities matches the graph?

a)

x ≤ -4

b)

x ≥ -4

c)

y ≤ -4

d)

y ≥ -4

81.

Are the ordered pairs on the boundary line a part of the solution?

a)

Yes, the ordered pairs on the boundary line are a part of the solution

b)

No, the solutions on the boundary line are not a part of the solution

82.

Which of the following inequalities matches the graph?

a)

x > -2

b)

x < -2

c)

y > -2

d)

y < -2

83.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

84.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

85.

Which of the graphs represents the linear inequality $y>\frac{1}{2}x+3$ ?

a)

b)

c)

d)

86.

Determine if each ordered pair is a part of the solution set.

Categorize the following

(-2,1)

(0,0)

(3,5)

(-4,-3)

(5,0)

(0,-3)

(-3,-4)

(5,1)

Solution

Not a Solution

87.

What kind of line will this graph have?

a)

Solid

b)

Dashed

88.

Which point below is NOT part of the solution set?

a)

(3, 4)

b)

(0, 4)

c)

(-2, 6)

d)

(6, 2)

89.

Which of the following inequalities matches the graph?

a)

y ≥ x + 2

b)

y ≤ x + 2

c)

y > x + 2

d)

y < x + 2

90.

For this symbol,
$<$
do you shade above or below the line?

a)

below

b)

above

91.

For this symbol,
$\le$
is it a solid line or a dashed line?

a)

b)

92.

Match the inequality to the graph.

a)

$y\le-\frac{1}{2}x-3$

b)

$y<-\frac{1}{2}x-3$

c)

$y>-\frac{1}{2}x-3$

d)

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

93.

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

a)

5x + 10 ≥ 100

b)

5x - 100 ≥ 10

c)

10x + 5 ≤ 100

d)

5x + 10 > 100

94.

How can I tell if an inequality will have a solid line?

a)

It has an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

95.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

96.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, -1)

d)

(5, 20)

97.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

98.

which equation best represents this graph?

a)

y < 1/2x + 1

b)

y < 1/2x + 2

c)

y >1/2x + 2

d)

y > 2x

99.

Which is true about this graph??

a)

it is shaded above and has a dashed line

b)

it is shaded below and has a solid line

c)

it is shaded above and has a solid line

d)

it is shaded below and has a dashed line

100.

Which inequality is graphed on the given coordinate plane?

a)

y ≤ -x + 1

b)

y < x + 1

c)

y ≥ -x + 1

101.

Consider the function y<2x+3. Which is true?

a)

The line would be solid with shading above.

b)

The line would be dashed with shading above.

c)

The line would be solid with shading below.

d)

None of these.

102.

Are the points on the boundary line part of the solution set or not?

a)

Yes, they are part of the solution set

b)

No, they are NOT part of the solution set

103.

Consider the equation:
y=-x+4
Identify the slope and y-intercept.

a)

m=4, b=-x

b)

m=-x, b=4

c)

m=1, b=4

d)

m=-1, b=4

104.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

105.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

106.

Graph y > |x|

a)

b)

c)

d)

107.

Graph y > |x|

a)

b)

c)

d)

108.

Graph y < |x|

a)

b)

c)

d)

109.

Graph y < |x|

a)

b)

c)

d)

110.

Graph y < | x + 2 |

a)

b)

c)

d)

111.

Graph y < | x + 2 |

a)

b)

c)

d)

112.

Graph y > | x + 2 |

a)

b)

c)

d)

113.

Graph y > | x + 2 |

a)

b)

c)

d)

114.

Graph y > - | x + 2| + 2

a)

b)

c)

d)

115.

Graph y > - | x + 2| + 2

a)

b)

c)

d)

116.

Graph y < - | x + 2| + 2

a)

b)

c)

d)

117.

Graph y < - | x + 2| + 2

a)

b)

c)

d)

118.

What is the inequality for this graph?

a)

y < |x| + 3

b)

y < -|x| +3

c)

y < -| x + 3 |

d)

y < | x + 3 |

119.

What is the inequality for this graph?

a)

y < |x| + 3

b)

y < -|x| +3

c)

y < -| x + 3 |

d)

y < | x + 3 |

120.

What is the inequality for this graph?

a)

y < |x| + 3

b)

y < -|x| +3

c)

y < -| x + 3 |

d)

y < | x + 3 |

121.

Determine the inequality

a)

y > 1/4 | x |

b)

y < 1/4 | x |

c)

y < 4 | x |

d)

y > 4 | x |

122.

Determine the inequality

a)

y > 1/4 | x |

b)

y < 1/4 | x |

c)

y < 4 | x |

d)

y > 4 | x |

123.

Determine the inequality

a)

y > 1/4 | x |

b)

y < -1/4 | x |

c)

y < -4 | x |

d)

y > 4 | x |

124.

What is the inequality for this graph?

a)

y > -|x +3| - 2

b)

y < -|x +2| -3

c)

y > -|x +2| -3

d)

y < -|x +3| -2

125.

What is the inequality for this graph?

a)

y > -|x +3| - 2

b)

y < -|x +2| -3

c)

y > -|x +2| -3

d)

y < -|x +3| -2

2 Variable Inequality Test

Total questions: 125

Worksheet time: 6hrs 18mins

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