Free Printable Parker's Library

1.

Solve $-2\left(-7+x\right)+20\ge-32$ on your paper before answering questions.

What is the first step on your paper?

a)

Multiply -2 times -7 and x.

b)

Subtact -2 from -7.

c)

Subtract 20 from each side.

d)

Add 2 to both sides.

2.

Solve $-2\left(-7+x\right)+20\ge-32$ on your paper before answering questions.

What is the first step on your paper?

a)

$-9-2x+20\ge-32$

b)

$14-2x+20\ge-32$

c)

$-14-2x+20\ge-32$

d)

$14+2x+20\ge-32$

3.

Solve $-2\left(-7+x\right)+20\ge-32$ on your paper before answering questions.

What is the second step on your paper?

a)

Combine 14 and 20.

b)

Subtract 14 from each side.

c)

Subtract 14 and 2x.

d)

Subtract 20 from each side.

4.

Solve $-2\left(-7+x\right)+20\ge-32$ on your paper before answering questions.

What is the second step on your paper?

a)

$12x+20\ge-32$

b)

$-2x+20\ge-46$

c)

$34-2x\ge-32$

d)

$14-2x\ge-52$

5.

Solve $-2\left(-7+x\right)+20\ge-32$ on your paper before answering questions.

What is the third step on your paper?

a)

Subtract 20 from each side.

b)

Add 2x to each side.

c)

Add 34 to each side.

d)

Subtract 34 from each side.

6.

Solve $-2\left(-7+x\right)+20\ge-32$ on your paper before answering questions.

What is the third step on your paper?

a)

$-2x\ge-52$

b)

$34\ge2x-32$

c)

$-2x\ge2$

d)

$-2x\ge-66$

7.

Solve $-2\left(-7+x\right)+20\ge-32$ on your paper before answering questions.

What is the last step on your paper?

a)

Divide by -2 on each side.

b)

Divide by -2 and reverse the inequality sign.

c)

Add 2 to each side.

d)

Divide by 2 on each side.

8.

Solve $-2\left(-7+x\right)+20\ge-32$ on your paper before answering questions.

What is the last step on your paper?

a)

$x\ge33$

b)

$x\le33$

c)

$x\ge-33$

d)

$x\le-33$

9.

Which inequality symbol represents "greater than"?

a)

<

b)

>

c)

≤

d)

≥

10.

Which inequality symbol represents "less than"?

(a)

11.

Which inequality symbol represents "is less than or equal to"?

a)

<

b)

>

c)

≤

d)

≥

12.

What inequality symbol represents "is at least"?

a)

<

b)

>

c)

≤

d)

≥

13.

When graphing an inequality, which symbols represent a closed circle?

a)

$<,>$

b)

$\le,\ge$

c)

$<,\le$

d)

$>,\ge$

14.

When graphing an inequality, which symbol represents an open circle?

a)

$\ge,\le$

b)

$>,<$

c)

$>,\ge$

d)

$<,\le$

15.

When graphing y< 6 would you use an open or closed circle?

a)

open

b)

closed

16.

(a)

17.

a)

x > 1

b)

x < 1

c)

x ≥ 1

d)

x ≤ 1

18.

s + 9 ≥ -25

a)

s ≥ -18

b)

s ≥ -34

c)

s ≤ 18

d)

s ≥ 34

19.

8x ≥ -32

a)

x ≥ -4

b)

x ≥ 4

c)

x ≤ -4

d)

x ≥ 4

20.

12 > -12y

a)

1 > y

b)

-1 > y

c)

1 < y

d)

-1 < y

21.

x + 5 > 7

(a)

22.

-4 + y < -8

(a)

23.

2 less than the product of 4 and a number is at most 6

a)

$4n-2<6$

b)

$4n-2\le6$

c)

$2-4n\ge6$

d)

$4n-2>6$

24.

Three times a number minus two is less than the number plus ten.

a)

3x - 2 < x + 10

b)

2 - 3x < x + 10

c)

3x - 2 > x + 10

d)

2 - 3x > x + 10

25.

Solve
-5m < 10

(a)

26.

Level 2

Solve.

a)

z≤1

b)

z>9

c)

z≤9

d)

z<9

27.

Level 3

Solve.

a)

a ≥ -104

b)

a ≤ 5

c)

a ≤ -8/13

d)

a ≥ -8/13

28.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

29.

Does the sign need to flip when solving?
-2x ≥ 22

a)

YES

b)

NO

30.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

31.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

32.

What inequality does the number line graph represent?

a)

-x + 4 ≥ -1

b)

-2x + 3 > -7

c)

-x + 1 < -4

d)

2x + 3 ≥ 13

33.

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

a)

≤, ≥

b)

<, >

34.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

35.

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

a)

s < 55

b)

s > 55

c)

s ≤ 55

d)

s ≥ 55

36.

Solve the inequality. Don't forget to check your solution set.
12 ≥ 15 - 6y

a)

y ≤ ½

b)

y ≤ 2

c)

y ≥ ½

d)

y ≥ 2

37.

Solve:
6x+10>5x-12

a)

x>2

b)

x<2

c)

x<-22

d)

x>-22

38.

Solve:
3(x - 2) < 2(x + 9)

a)

x<24

b)

x>12

c)

x<12

d)

x>24

39.

Solve:
4(2a + 3) < 3(a - 1)

a)

a<-3

b)

a>-3

c)

a<3

d)

a>3

40.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

41.

Sue's lunch account has $25 and she spends $2.50 every day. Troy's lunch account has $50 and she spends $3.25 every day. Write an inequality that shows when Sue's account will be more than Troy's.

a)

25 - 2.5d > 50 - 3.25d

b)

25 - 2.5d < 50 - 3.25d

c)

25 + 2.5d > 50 + 3.25d

d)

25 + 2.5d < 50 + 3.25d

42.

a)

x > 2

b)

x > 5

c)

x >15

d)

x > 50

43.

Which is a solution of

5(2v + 3) - 10v > -10

a)

no solution

b)

v > 5

c)

v > -5

d)

all real numbers

44.

you must be at least 48 inches to ride the roller coaster.

a)

x > 48

b)

x < 48

c)

x ≤ 48

d)

x ≥ 48

45.

Solve.

a)

x ≤ 14

b)

x < 14

c)

x ≥ 14

d)

x = 14

46.

Does the given value make the inequality true?
x + 9 > 21, when x = 15

a)

True

b)

False

47.

Solve the inequality

a)

x ≤ 2

b)

x ≤ -2

c)

x ≥ 2

d)

x ≥ -2

48.

Solve:
7(x + 3) < 5x + 13

a)

x>-4

b)

x < 17

c)

x<-4

d)

x > -17

49.

What inequality does the number line graph represent?

a)

x <= 4

b)

x>= -4

c)

x < -4

d)

x < 4

50.

Which inequality symbol has a closed circle?

a)

<

b)

≤

51.

Which inequality symbol has a open circle?

a)

<

b)

≤

52.

X + 6 > 10

a)

X > 16

b)

X > -4

c)

X < -4

d)

X > 4

53.

-24 + k ≤ 10

a)

k ≤ 14

b)

34 ≤ k

c)

k ≤ 34

d)

14 ≤ k

54.

X - 20 > -30

a)

X < -10

b)

X < 10

c)

X > -10

d)

X > 10

55.

Does the sign need to flip when solving?
-2x ≥ 22

a)

YES

b)

NO

56.

-13t > 26

a)

t > -2

b)

t > 2

c)

t < 2

d)

t < -2

57.

Solve and graph the inequality.
77 ≤ 5 + 8n

a)

A

b)

B

c)

C

d)

D

58.

-7 + 10z > -27

a)

z < -2

b)

z > -34

c)

2 > z

d)

z > -2

59.

5z - 2 - 2z < 13

a)

z > 5

b)

z < 5

c)

z > 1

d)

z < 1

60.

solve 5( 6 + 3r) + 7 ≥ 127

a)

r ≤ 6

b)

r ≥ 6

c)

r ≤ -6

d)

r ≥ -6

61.

-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

62.

Solve:

-8b - 8 > 56

a)

b > 6

b)

b < -8

c)

b > -8

d)

b > 7/2

63.

Solve:

5(v + 3) - 10v > -10

a)

v < 5

b)

v > 5

c)

v > -5

d)

v < -5

64.

Solve:
7(x + 3) < 5x + 13

a)

x>-4

b)

x < 17

c)

x<-4

d)

x > -17

65.

Solve:
6x+10>5x-12

a)

x>2

b)

x<2

c)

x<-22

d)

x>-22

66.

3(x-2)<2(x+9)

a)

x<24

b)

x>-24

c)

x<12

d)

x>18

67.

What inequality does the number line graph represent?

a)

x <= 4

b)

x>= -4

c)

x < -4

d)

x < 4

68.

Which inequality symbol has a closed circle?

a)

<

b)

≤

69.

Which inequality symbol has a open circle?

a)

<

b)

≤

70.

X + 6 > 10

a)

X > 16

b)

X > -4

c)

X < -4

d)

X > 4

71.

-24 + k ≤ 10

a)

k ≤ 14

b)

34 ≤ k

c)

k ≤ 34

d)

14 ≤ k

72.

X - 20 > -30

a)

X < -10

b)

X < 10

c)

X > -10

d)

X > 10

73.

Does the sign need to flip when solving?
-2x ≥ 22

a)

YES

b)

NO

74.

-13t > 26

a)

t > -2

b)

t > 2

c)

t < 2

d)

t < -2

75.

Solve and graph the inequality.
77 ≤ 5 + 8n

a)

A

b)

B

c)

C

d)

D

76.

-7 + 10z > -27

a)

z < -2

b)

z > -34

c)

2 > z

d)

z > -2

77.

5z - 2 - 2z < 13

a)

z > 5

b)

z < 5

c)

z > 1

d)

z < 1

78.

solve 5( 6 + 3r) + 7 ≥ 127

a)

r ≤ 6

b)

r ≥ 6

c)

r ≤ -6

d)

r ≥ -6

79.

-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

80.

Solve:

-8b - 8 > 56

a)

b > 6

b)

b < -8

c)

b > -8

d)

b > 7/2

81.

Solve:

5(v + 3) - 10v > -10

a)

v < 5

b)

v > 5

c)

v > -5

d)

v < -5

82.

Solve:
7(x + 3) < 5x + 13

a)

x>-4

b)

x < 17

c)

x<-4

d)

x > -17

83.

Solve:
6x+10>5x-12

a)

x>2

b)

x<2

c)

x<-22

d)

x>-22

84.

3(x-2)<2(x+9)

a)

x<24

b)

x>-24

c)

x<12

d)

x>18

85.

A linear inequality compares two expressions with an equal sign.

a)

true

b)

false

86.

The symbol < is called the _________ symbol.

a)

greater than

b)

less than

c)

less than or equal to

d)

not equal to

87.

Which of the following is a solution to the inequality m < 25 ?

a)

30

b)

-91

c)

25

d)

27

88.

What is the correct inequality for the following sentence?

There are more than twenty students in the hallway.

a)

s > 20

b)

s = 20

c)

s < 20

d)

The number of students cannot be represented by an inequality.

89.

Write an inequality for the statement.

You must be at least 48 inches tall to ride the roller coaster.

a)

h < 48

b)

h < 48

c)

h > 48

d)

h > 48

90.

When solving an inequality, when do you switch the inequality symbol?

a)

You never switch the inequality symbol

b)

When adding or subtracting a negative number

c)

When multiplying or dividing by a negative number

d)

When there is a negative in the problem

91.

What is the correct inequality for the following sentence?

Swim practice will be no more than 35 laps

a)

p < 35

b)

p > 35

c)

p = 35

d)

p < 35

92.

Two inequalities connected with the words And or OR are called _________ inequalities.

a)

simple

b)

compound

c)

equal

d)

complex

93.

Check all the solutions to the following compound inequality. -5 < x < 3

a)

0

b)

-10

c)

-2

d)

1

e)

3

94.

Check all the solutions to the following compound inequality.

X < -2 OR X > 7

a)

-2

b)

8

c)

0

d)

-4

e)

1

95.

Write the following in interval notation

x < 8

a)

[8, ∞)

b)

(8, -∞)

c)

(-∞, 8]

d)

(-∞, 8)

96.

What interval notation does the number line graph represent?

a)

[∞, -5)

b)

(∞, -5)

c)

[-5, ∞)

d)

(-5, ∞)

97.

Write the following in interval notation
x ≥ 100

a)

(0, 100]

b)

(∞, 100]

c)

[100, ∞)

d)

(∞, 100)

98.

Convert into its interval notation:

$x>-9$

a)

$\left(-9,\ \infty\right)$

b)

$\left[-9,\ \infty\right]$

c)

$\left[-9.\ \infty\right)$

d)

$\left(-9,\ \infty\right]$

99.

Convert into its interval notation:

$x\le6$

a)

$\left(-\infty,\ 6\right]$

b)

$\left(-\infty,\ 6\right)$

c)

$\left[-\infty,\ 6\right]$

d)

$\left[-\infty,\ 6\right)$

100.

Convert into its interval notation:

$-1<x<4$

a)

(-1, 4)

b)

[-1, 4]

c)

(-1, 4]

d)

[-1, 4)

101.

Convert into its interval notation:

$5<x\le11$

a)

(5, 11]

b)

[5, 11]

c)

(5, 11)

d)

[5, 11)

102.

Look at the Graph. Write the inequality in interval notation.

a)

[-4, -1)

b)

(-4, -1)

c)

(-4, -1]

d)

[-4, -1]

103.

Look at the picture. Which number line corresponds to [-2, 5]?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

104.

What interval notation does the number line graph represent?

a)

[∞, -5)

b)

(∞, -5)

c)

[-5, ∞)

d)

(-5, ∞)

105.

Express the following in Interval Notation
-9 < x ≤ -4

a)

[-9, -4]

b)

(-9,-4]

c)

[-9, -4]

d)

(-9,-4)

106.

Can you use the symbols [ or ]
with infinity?

a)

Yes

b)

No

107.

When writing a solution in interval notation, what brackets do i use for:

> or <

a)

[ ]

b)

( )

108.

When writing in interval notation, what kind of brackets do I use for:

or ≤ or ≥

a)

[ ]

b)

( )

109.

(-2,12) can be written in inequality notation as:

a)

-2 < x > 12

b)

-2 > x > 12

c)

-2 < x <12

d)

None of these

110.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

111.

Solve 28 − k ≥ 7(k − 4)

a)

k ≥ -7

b)

k ≤ -7

c)

k ≥ 7

d)

k ≤ 7

112.

Solve:
7(x + 3) < 5x + 13

a)

x > -4

b)

x < 17

c)

x < -4

d)

x > -17

113.

Solve -2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

114.

Graph the solution set of the inequality.

–4n + 1 > –23

a)

b)

c)

d)

115.

Graph the solution set of the inequality.

–4a ≤ –28

a)

b)

c)

d)

Parker's Library

Total questions: 115

Worksheet time: 7hrs 26mins

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