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Worksheets

One-Step Equations and Inequalities

Total questions: 25

Worksheet time: 3hrs 49mins

Name
Class
Date
1.

What inequality does the number line graph represent

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x > 4

2.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 2

c)

x < -3

d)

x ≤ 6

3.

What inequality does the number line graph represent?

a)

5 ≥ x

b)

x < 0

c)

x > -1

d)

x ≥ −5

4.

What inequality does the number line graph represent?

a)

x > -4

b)

x > 4

c)

x < 4

d)

x ≤ -1

5.
x + 9 = 14
a)
x = 6
b)
x = -6
c)
x = 23
d)
x = 5
6.
c - 18 = 24
a)
c = 42
b)
c = 6
c)
c = -6
d)
c = 1.3
7.
8.9 + j = 12.8
a)
j = 21.7
b)
j = 3.9
c)
j = 1.4
d)
j = 4.1
8.
k÷8 = 4
a)
k = 24
b)
k = 32
c)
k = 0.5
d)
k = -4
9.
-12p = 60
a)
p = 5
b)
p = -5
c)
p = 48
d)
p = -48
10.
x - 41 > 22
a)
x < 63
b)
x > -19
c)
x < -19
d)
x > 63
11.
Solve: 
45p > 315
a)
p > 270
b)
p < 270
c)
p > 7
d)
p < 7
12.

Which of the following equations has a solution of 4?

a)

-6x = 24

b)

x12= 3\frac{x}{12}=\ 3

c)

x + 17 = 21

d)

x - 8 = 4

13.

Which of the following shows the inequality solved and graphed correctly?

a)

A

b)

B

c)

C

d)

D

14.

When graphing an inequality, you use a closed circle when you use which symbols?

a)

≤, ≥

b)

<, >

15.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

16.

What is the name of this symbol?  

  

a)

less than

b)

less than or equal to

c)

greater than

d)

greater than or equal to

17.

The variable, k, is being divided by 11. How should you isolate the variable?   

a)

Divide both sides by 11

b)

Add 11 to both sides.

c)

Multiply both sides by 11.

d)

Subtract 11 to both sides.

18.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

19.

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

9t = 25

c)

t + 9 = 25

d)

t/9 = 25

20.

What is the inverse operation of division?

a)

Division

b)

Addition

c)

Multiplication

d)

Subtraction

21.

Mathematically, what is the 10 doing to the x?   

10x=90

a)

Adding 10

b)

Subtracting 10

c)

Multiplying 10

d)

Dividing 10

22.

Solve the inequality.

a)

x ≥ 8

b)

x ≤ 8

c)

x ≥ 18

d)

x ≤ 18

23.

Choose the correct expression that represents 7 is less than a number.

a)

x > 7

b)

x < 7

c)

x ≤ 7

d)

x ≥ 7

24.

8.9 + j = 12.8

a)

j = 21.7

b)

j = 1.4

c)

j = 3.9

d)

j = 4.1

25.

Describe the graph for the solution for the following inequality:

a + 13 ≥ 20

a)

Closed circle; arrow pointing left

b)

Closed circle; arrow pointing right

c)

Open circle; arrow pointing left

d)

Open circle; arrow pointing left