Free Printable Alg 1 Test 3 Review

1.

s - 10 ≤ 1

a)

s ≤ 11

b)

s ≤ 9

c)

s ≥ 11

d)

s ≥ 9

2.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

3.

What inequality does the number line graph represent?

a)

$x\le-4$

b)

$x\ge-4$

c)

x < -4

d)

x < 4

4.

What inequality does the number line graph represent?

a)

$x\ge3$

b)

x > 3

c)

x < -3

d)

$x\le3$

5.

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

a)

≤, ≥

b)

<, >

6.

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

a)

<, >

b)

≤, ≥

7.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

8.

Solve the inequality.

$2\left(b\ -\ 8\right)\ >\ 12$

a)

b > 20

b)

b > 6

c)

b > 14

d)

b > 20

9.

Solve the inequality.

$-4d\ -\ 9\ \le\ 3$

a)

$d\ \le3$

b)

$d\ \le-3$

c)

$d\ \ge\ 3$

d)

$d\ \ge\ -3$

10.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide by any number

c)

subtract or multiple by a negative number

d)

multiple or divide by a negative number

11.

Solve
-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

12.

$6x>12$

a)

$x<2$

b)

$x\le2$

c)

$x>2$

d)

$x\ge2$

13.

$\frac{b}{2}<13$

a)

$b<26$

b)

$b\le26$

c)

$b>26$

d)

$b\ge26$

14.

Solve and graph.
k - 13 > -51

a)

A

b)

B

c)

C

d)

D

15.

Solve for x. (Use the image to identify the correct inequality and graph.)

$x\ -\ 1\ \le\ -9$

a)

A

b)

B

c)

C

d)

D

16.

Solve the inequality.

$-5x\ -\ 7\ <\ 28$

a)

x > -7

b)

x < -7

c)

x > $\frac{21}{5}$

d)

x < $\frac{-21}{5}$

17.

What inequality does the number line graph represent? (Hint: You may have to solve each inequality.)

a)

x + 2 < 5

b)

3x ≥ 9

c)

2x - 1 > 5

d)

x + 3 < 0

18.

6x - 4 ≥ 26

a)

x ≥ 3.67

b)

x ≥ 5

c)

x < 5

d)

x ≤ 5

19.

4x - 3 < -1x + 12

a)

x > 3

b)

x < 3

c)

x < 5

d)

x > 5

20.

3(x - 3) ≤ 2(x + 2)

a)

x ≤ -5

b)

x ≥ 5

c)

x ≥ 13

d)

x ≤ 13

21.

4x - 10 ≤ 22

a)

x ≤ 8

b)

x ≥ 8

c)

x ≤ 3

d)

x ≥ 3

22.

15 + 7x ≥ 29

a)

x ≥ 2

b)

x ≥ -2

c)

x ≤ 2

d)

x > 2

23.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

24.

-2x + 3(-4x + 6) ≤116

a)

x ≤ -7

b)

x ≥ 29

c)

x ≥ -7

d)

x ≤ 29

25.

4x - 3 < -1x + 12

a)

x > 3

b)

x < 3

c)

x < 5

d)

x > 5

26.

-2x + 2 > 3x - 8

a)

x > -9

b)

x > 2

c)

x < -9

d)

x < 2

27.

3(x - 3) ≤ 2(x + 2)

a)

x ≤ -5

b)

x ≥ 5

c)

x ≥ 13

d)

x ≤ 13

28.

When graphing do you use an open or closed circle for > ?

a)

Open

b)

Closed

29.

Which graph represents the inequality 2x + 3 < 7

a)

b)

c)

d)

30.

Do you flip the sign?
-3x + 2 ≤ 22

a)

YES

b)

NO

31.

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

32.

Does the sign need to flip when solving?

8y < -40

a)

YES

b)

NO

33.

solve 3 < -5n + 2n

a)

n < -1

b)

n ≤ -1

c)

n > -4

d)

n < -3

34.

Which could be a possible solution?

a)

8

b)

18

c)

16

d)

22

35.

Solve:

a)

x < 24

b)

x < 3

c)

x > 24

d)

x < 10.3333....

36.

The keywords "at most" are used with which of the following symbols?

a)

≤

b)

>

c)

<

d)

≥

37.

The keywords "at least" are used with which of the following symbols?

a)

≥

b)

≤

c)

>

d)

<

38.

x - 7 ≥ 4

a)

x ≥ 11

b)

x ≥ -11

c)

x ≥ 3

d)

x ≥ -3

39.

Which of the following symbols means "less than or equal to"?

a)

≤

b)

<

c)

>

d)

≥

40.

Which of the following symbols means "greater than or equal to"?

a)

≥

b)

≤

c)

>

d)

<

41.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ -3

42.

Write the inequality for the graph.

a)

x ≥ 5

b)

x < 5

c)

x > 5

d)

x ≤ 5

43.

Write the inequality for the graph.

a)

x ≥ 5

b)

x < 5

c)

x > 5

d)

x ≤ 5

44.

Write an inequality: There must be at least 20 club members present to hold a meeting.

a)

m > 20

b)

m < 20

c)

m ≤ 20

d)

m ≥ 20

45.

Write an inequality: The maximum speed allowed on Main Street is 25 mph.

a)

s < 25

b)

s > 25

c)

s ≥ 25

d)

s ≤ 25

46.

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

a)

<, >

b)

≤, ≥

47.

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

a)

≤, ≥

b)

<, >

48.

a)

x is less than or equal to -2

b)

x < -2

c)

-2 < x

d)

x is greater than -2

49.

Match:
You must be at least 48 inches tall to ride the bumper cars.

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

50.

x is no more than 13

a)

x < 13

b)

x > 13

c)

x ≥ 13

d)

x ≤ 13

51.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

52.

You must spend at least $10 at the grocery store to get a free reusable shopping bag. Which inequality represents the amount you need to spend to get a free shopping bag?

a)

x<10

b)

x>10

c)

x>10

d)

x<10

53.

Write the inequality:
There are fewer than 20 days left in October.

a)

x > 20

b)

x < 20

c)

x ≥ 20

d)

x ≤ 20

54.

Pick the correct letter for:

x < 6

a)

A

b)

B

c)

C

d)

D

55.

Which of the following inequalities would require you to flip the sign when solving?

a)

2x < 3

b)

3x > - 9

c)

-4x ≥ 10

d)

5x ≤ 15

56.

Match the graph with the given solution.

a)

A

b)

B

c)

C

d)

D

57.

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

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

58.

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

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

59.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

60.

Solve
-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

61.

3x - 2 ≥ 34

a)

x ≥ -12

b)

x ≤ -12

c)

x ≤ 12

d)

x ≥ 12

62.

4x - 10 ≤ 22

a)

x ≤ 8

b)

x ≥ 8

c)

x ≤ 3

d)

x ≥ 3

63.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

64.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-1 < x < 3

c)

1 < x < 3

d)

1 ≤ x ≤ 3

65.

When graphing "AND" inequalites, shading looks like___

a)

Shading that always connects the 2 dots.

b)

Shading that always points away from each dot

c)

2 shaded arrows pointing in same direction(both left)

d)

2 shaded arrows pointing in same direction (both right)

66.

When graphing the solutions to "OR" inequalities, The shading looks like___

a)

Shading that connects the 2 dots

b)

Shading that points away and never crosses.

c)

Shading that points toward each other and ALWAYS crosses

d)

Shading that points opposite, but sometimes crosses.

67.

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

68.

When solving an inequality, you get 10 < 25, what should you circle as the final answer?

a)

10 < 25

b)

All Real Numbers

c)

No Solution

d)

True

69.

x+2<-4 or -5x<-15

a)

-6<x<3

b)

x<-3 and x>6

c)

x<-6 or x>3

d)

No Solution

70.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

71.

Give the final solution set for:

2x + 1 > 9 or x - 4 < 6

a)

No solution

b)

4 < x < 10

c)

x > 4 or x < 10

d)

All real numbers

72.

Which of the following would result in NO SOLUTION?

a)

x < 1 or x > 5

b)

x > 1 or x < 5

c)

x < 1 and x > 5

d)

x > 1 and x < 5

73.

Give the solution set for: -13<2x+5<15

a)

-9>x>5

b)

-9<x<5

c)

-4<x<5

d)

-4>x>5

74.

Solve:

3x + 2 < -7 or -4x + 5 < 1

a)

All real numbers

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

75.

Solve and give the final solution set:

-4x + 1 ≤ 21 and 5x + 2 < 22

a)

All real numbers

b)

x ≥ -5 or x < 4

c)

No Solution

d)

x ≥ -5 and x < 4

76.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-2 ≤ x ≤ 6

c)

-3 ≤ x ≤ 3

d)

1 ≤ x ≤ 3

77.

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

78.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

79.

Select the inequality shown

a)

x > 1

b)

x ≥ 1

c)

x < 1

d)

x ≤ 1

80.

Select the inequality shown

a)

x > 3

b)

x ≥ 3

c)

x < 3

d)

x ≤ 3

81.

Select the inequality shown

a)

x > 5

b)

x ≥ 5

c)

x < 5

d)

x ≤ 5

82.

Select the inequality shown

a)

x > 0

b)

x ≥ 0

c)

x < 0

d)

x ≤ 0

83.

Select the inequality shown

a)

x > -2

b)

x ≥ -2

c)

x < -2

d)

x ≤ -2

84.

Select the inequality shown

a)

x > -3

b)

x ≥ -3

c)

x < -3

d)

x ≤ -3

85.

Select the inequality shown

a)

x > -5

b)

x ≥ -5

c)

x < -5

d)

x ≤ -5

86.

Select the inequality shown

a)

x > 0

b)

x ≥ 0

c)

x < 0

d)

x ≤ 0

87.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

88.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

89.

-2 (x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

90.

Solve:
11x + 16 < 43 + 2x

a)

x < 5

b)

x < 3

c)

x > 5

d)

x > 3

91.

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

a)

x>-4

b)

x < 17

c)

x<-4

d)

x > -17

92.

Solve the inequality.
- 3(9 + x) ≥ - 21

a)

x ≤ 2

b)

x ≥ 2

c)

x ≥ - 2

d)

x ≤ - 2

93.

(b/7) + 1 > - 5

a)

b > -42

b)

b < -42

c)

b > -1

d)

b < 1

94.

(x - 4)/ 2 > 4

a)

x < 3

b)

x > 12

c)

x > 5

d)

x > -12

95.

(-a/5) - 5 < 20

a)

a < 125

b)

a > 4

c)

a > -125

d)

a <-125

96.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

97.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-1 < x < 3

c)

1 < x < 3

d)

1 ≤ x ≤ 3

98.

Solve:
-4x + 1 ≤ 21 and 5x + 2 < 22

a)

x > -5 or x ≤ 4

b)

x ≥ -5 or x < 4

c)

x > -5 and x ≤ 4

d)

x ≥ -5 and x < 4

99.

Solve:
3x + 2 < -4 or 4x + 4 > 24

a)

x < -2 or x > 5

b)

x < 2 or x > 5

c)

x < -2 and x > 5

d)

x < 2 and x > 5

100.

Solve:
3x + 2 < -7 or -4x + 5 < 1

a)

x < -3 and x < 1

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

101.

| 2w - 1 | < 11

a)

No Solution

b)

All Real Numbers

c)

-5 < w < 6

d)

-6 < w < 5

102.

| x + 1 | ≥ 3

a)

No Solution

b)

All Real Numbers

c)

x ≤ -4 or x ≥ 2

d)

-4 ≤ x ≤ 2

103.

a)

all real numbers

b)

no solution

c)

0 < v < 6⁄7

d)

0 ≤ v ≤ 6/7

104.

a)

no solution

b)

-6 < x < 26

c)

x < -6 or x > 26

d)

all real numbers

105.

3 | 2t - 3 | - 5 > 16

a)

No Solution

b)

All Real Numbers

c)

t < -2 or t > 5

d)

-2 < t < 5

106.

Solve the absolute Value inequality and graph.

a)

A

b)

B

c)

C

d)

D

107.

3| −8x| + 8 = 80

a)

{-7/3, 7/3}

b)

{-3,3}

c)

{11/3,-11/3}

d)

No Solution

108.

-|−2r − 1| = 11

a)

{-6,5}

b)

{5,-6}

c)

-6

d)

No Solution

109.

|−4 + 5x| = 16

a)

{16/5,12/5}

b)

{4,-5}

c)

{-12/5, 4}

d)

4

110.

|v + 8| − 5 = 2

a)

{-15,-1}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

111.

Solve for r.
−2|−2r − 4| = -12

a)

{5,1}

b)

{-5,-1}

c)

{-5,1}

d)

No Solution

112.

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

113.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

114.

4x - 2 ≤ -22

a)

x ≥ -5

b)

x ≥ -6

c)

x ≤ -6

d)

x ≤ -5

115.

6 - 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

116.

When graphing do you use an open or closed circle for > ?

a)

Open

b)

Closed

117.

When graphing do you use an open or closed circle for < ?

a)

Open

b)

Closed

118.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

119.

Which graph matches the inequality

k < 3?

a)

A

b)

B

c)

C

d)

D

120.

Solve and graph

a)

a

b)

b

c)

c

d)

d

121.

Solve and graph the inequality.

a)

A

b)

B

c)

C

d)

D

122.

Solve and graph the inequality.

a)

A

b)

B

c)

C

d)

D

123.

x+2<-4 or -5x<-15

a)

-6<x<3

b)

x<-3 and x>6

c)

x<-6 or x>3

d)

No Solution

124.

2<x+2<5

a)

0<x<3

b)

4<x<7

c)

4<x<3

d)

0<x<7

125.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

126.

What inequality is graphed?

a)

x > 2 and x < 4

b)

x ≥ 2 and x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

127.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

128.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

129.

Solve and graph:

a)

A

b)

B

c)

C

d)

D

130.

a)

A

b)

B

c)

C

d)

D

131.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-1 < x < 3

c)

1 < x < 3

d)

1 ≤ x ≤ 3

Alg 1 Test 3 Review - Inequalities

Total questions: 131

Worksheet time: 7hrs 21mins

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