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Worksheets

inequalities and equations

Total questions: 60

Worksheet time: 1hrs 9mins

Name
Class
Date
1.
x is less than 9
a)
x < 9
b)
x > 9
c)
x ≥ 9
d)
x ≤ 9
2.
m - 5 > 10
a)

m is less than 15

b)

m is greater than 5

c)

m is greater than 15

d)

m is less than 5 

3.
- 2k > 18
a)

k is greater than 20

b)

k is less than negative 9

c)

k is greater than negative 9

d)

k is less than 36 

4.
8x ≥ -32
a)

x ≥ -4

b)

x ≥ 4

c)

x ≤ -4

d)

x ≥ 4

5.
more than
a)

<

b)

>

c)

d)

6.
Fewer Than
a)

<

b)

>

c)

d)

7.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

8.
Greater than
a)
<
b)
>
c)
d)
9.
Less Than
a)
<
b)
>
c)
d)
10.
x + 5 < 6 
a)
x < 1
b)
x > 1
c)
x < 11
d)
x > 11
11.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
12.

3 + k < 10

a)

6

b)

7

c)

8

13.

c - 2 > 7

a)

10

b)

9

c)

8

14.

4 - m \ge   2

a)

2

b)

3

c)

4

15.

d + 3  \le  8

a)

5

b)

6

c)

7

16.

35 < 5m, m = 7

a)

yes

b)

no

17.

t - 4  \ge  9, t =13

a)

yes

b)

no 

18.

a + 6  \ge  9, a=5

a)

Yes 

b)

No

19.

21 > 7y, y = 3

a)

Yes

b)

No

20.

8 - g > 5, g = 3

a)

Yes

b)

No

21.

2 + w < 9, w = 6

a)

Yes

b)

No

22.

The speed limit on some Georgia Interstates is 70 miles per hour. If a driver travels faster than 70 miles per hour, he or she receives a ticket. Use the inequality s > 70, where s represents the speed of cars on the interstate to determine which cars get a ticket.

a)

Car # 1 = Speed 68

b)

Car # 2 = Speed 76

c)

Car # 3 = Speed 72

d)

Car # 4 = Speed 65

23.

The cost of a camera at different stores is shown in the table. Kayla doesn’t want to spend more than $400 on a camera. Use the inequality c < $400, where c represents the cost of a camera to determine which stores she could buy from.

a)

Camera Castle - Cost $389.50

b)

Digital Dreams - Cost $401.75

c)

Photo Palace - Cost $422.85

24.

The number of people who attended each theater show at the local arts club is shown in the table. If less than 175 people attend, then the arts club did not make enough to cover costs. Use the inequality p < 175, where p represents the number of people present, to determine for which show they did not make enough money.

a)

Romeo and Juliet - 176 people

b)

Hamlet - 164 people

c)

Macbeth - 208 people

25.

The roller coasters at the theme park require children to be over 48 inches tall to ride. Use the inequality h ≤ 48, where h represents each child’s height to determine which children cannot ride roller coasters.

a)

Jolon height 47

b)

Tandy height 49

c)

Cruz height 48

d)

Flo height 50

26.

The school bake sale results are given in the table. If more than 20 of a baked good are sold, then more baked goods are made. Use the inequality b > 20, where b represents the number of goods sold to determine which baked goods need to be made.

a)

Cakes Sold 10

b)

Cookies Sold 45

c)

Cupcakes Sold 38

d)

Pies Sold 15

27.

The florist kept track of the flowers she sold on Valentine’s Day. If she sells at least 50 flowers, she receives a bonus. Use the inequality f ≥ 50, where f represents the number of flowers sold to determine which flowers she sold enough of.

a)

Roses Sold 112

b)

Tulips Sold 68

c)

Carnations Sold 43

28.

2x > 12

a)

x > 6

b)

x < 6

c)

x ≥ 6

d)

x ≤ 6

29.

4) Solve this equation


a - 2.1 = 5.8

a)

a = 7.9

b)

a = 3.7

c)

a = 5.8

d)

None of these match my answer

30.

2) Please solve this equation


p/5 = 7

a)

p = 35

b)

p = 12

c)

p = 2

d)

None of these match my answer

31.

10) Please solve this equation


m - 14 = 32

a)

m = 18

b)

m = 2 1/8

c)

m = 424

d)

None of these match my answer

32.

13) Please solve this equation


23 = x + 7

a)

x = 16

b)

x = 30

c)

x = 161

d)

None of these match my answer

33.

14) Please solve this equation


1.2x = 9.6

a)

x = 8

b)

x = 10.8

c)

x = 8.4

d)

None of these match my answer

34.

2) Solve this equation


t - 7 = 2

a)

t = 9

b)

t = 7

c)

t = 5

d)

None of these match my answer

35.

7) Please solve this equation


7x = 84

a)

x = 77

b)

x = 91

c)

x = 588

d)

None of these match my answer

36.

9) Please solve this equation

Melanie and Julian have 50 dinosaurs in total. Julian has 21 dinosaurs. How many dinosaurs does Melanie have?

a)

g = 29

b)

g = 71

c)

g = 1050

d)

None of these match my answer

37.

1) Solve this equation


c - 1 = 8

a)

c = 9

b)

c = 7

c)

c = 8

d)

None of these match my answer

38.

6) Please solve this equation


m - 3 = 4

a)

m = 7

b)

m = 1

c)

m = 13

d)

None of these match my answer

39.

4) Please solve this equation


c/9 = 8

a)

c = 1

b)

c = 17

c)

c = 8/9

d)

None of these match my answer

40.

3) Please solve this equation


x - 12 = 13

a)

x = 25

b)

x = 1

c)

x = 156

d)

None of these match my answer

41.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
42.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
43.
5m = 10  solve for m
a)
50
b)
15
c)
5
d)
2
44.
Solve for the missing variable:
a)
m = 5
b)
m = 1/5
c)
m = 25
d)
m = 55
45.

x - 16= 15

a)

2

b)

0

c)

-1

d)

31

46.

Solve the equation:

5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

47.

how would you solve this equation: 9x=153?

a)

multiply by 9 on both sides

b)

divide by 9 on both sides

c)

add 9 to both sides

d)

subtract 9 from both sides

48.

m - 5 = 10

a)

-15

b)

15

c)

-5

d)

5

49.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
50.

What is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

51.
What is the correct step to solve for the variable?
15 = m - 5
a)
add 15 to both sides
b)
add 5 to both sides
c)
subtract 15 from both sides
d)
subtract 5 from both sides
52.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
53.
x ÷ 2 = 12
a)
x = 24
b)
x = 6
c)
x = 20
d)
x = 10
54.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
d)
x = 3
55.
10x = 90
a)
x = 80
b)
x = 100
c)
x = 10
d)
x = 9
56.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side. 
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
57.
17 = x + 3
a)
x = 20
b)
x = 14
c)
x = 13
d)
x = 19
58.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
59.
Solve the equation:
4p = 16
a)
p = 12
b)
p = -12
c)
p = -4
d)
p = 4
60.
y/3=12
a)
36
b)
-36
c)
4
d)
-4