wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

One-Step Equations and Inequalities

Total questions: 50

Worksheet time: 3hrs 31mins

Name
Class
Date
1.
x + 9 = 14
a)
x = 6
b)
x = -6
c)
x = 23
d)
x = 5
2.
c - 18 = 24
a)
c = 42
b)
c = 6
c)
c = -6
d)
c = 1.3
3.
z/8 = 16
a)
z = 2
b)
z = 128
c)
z = 8
d)
z = 0.5
4.
Erin is four times as old as her brother William. If Erin is 20 years old, how old is William?
a)
80 years old
b)
16 years old
c)
5 years old
d)
24 years old
5.
8.9 + j = 12.8
a)
j = 21.7
b)
j = 3.9
c)
j = 1.4
d)
j = 4.1
6.
Write an equation:
Ms. Biediger's family wants to drive 750 miles. If they drive the same distance each day for 5 days, what distance, d, do they need to drive each day?
a)
5d = 750
b)
5 + d = 750
c)
750d = 5
d)
750 - 5 = d
7.
Write an equation:
Jess bought 3 sandwiches from Jason's Deli. Each sandwich had m ounces of meat. If the total amount of meat was 24 ounces, which equation will show how much meat was in each sandwich?
a)
24(3) = m
b)
24m = 3
c)
3/m = 24
d)
3m = 24
8.
-12p = 60
a)
p = 5
b)
p = -5
c)
p = 48
d)
p = -48
9.
k÷8 = 4
a)
k = 24
b)
k = 32
c)
k = 0.5
d)
k = -4
10.
Solve:
It costs $640 to put on the school play. How many tickets must be sold at $8 each in order to pay for the cost of the play?
a)
80 tickets
b)
5120 tickets
c)
65 tickets
d)
8 tickets
11.
Describe the graph for the solution for the following inequality:
a + 13 ≥ 20
a)
Closed circle; arrow pointing left
b)
Open circle; arrow pointing left
c)
Closed circle; arrow pointing right
d)
Open circle; arrow pointing left
12.
x - 41 > 22
a)
x < 63
b)
x > -19
c)
x < -19
d)
x > 63
13.
Mrs. Doherty ran for more than 45 minutes. Write an inequality to describe the situation.
a)
d ≥ 45
b)
d > 45
c)
d < 45
d)
d ≤ 45
14.
Mr. Foster ordered less than 36 rulers for the science lab.
a)
f < 36
b)
f ≤ 36
c)
f > 36
d)
f ≥ 36
15.
Which value is NOT a solution to the inequality "7 less than a number, x, is greater than or equal to 23" ?
a)
30
b)
31
c)
29
d)
32
16.
Solve:
Charlie wants to buy a GoPro. He has $650 in his savings account. He also needs to buy a selfie stick for for the camera, which costs $80. How much can Charlie spend on the GoPro?
a)
g ≤ 570
b)
g ≥ 570
c)
g ≥ 730
d)
g ≤ 730
17.
Solve:
-11x > 99
a)
x > -9
b)
x < -9
c)
x > 9
d)
x < 9
18.
Solve:
r - 34 > -23
a)
r < 11
b)
r > -57
c)
r < -57
d)
r > 11
19.
Solve: 
45p > 315
a)
p > 270
b)
p < 270
c)
p > 7
d)
p < 7
20.
Shari wants to spend at most 40 minutes on social studies and science homework. She already spent 23 minutes on her social studies homework. How how much time can Shari spend on her science homework?
a)
s ≤ 17
b)
s ≥ 17
c)
s ≥ 63
d)
s≤ 63
21.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

22.

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

23.

What is the inverse operation of division?

a)

Division

b)

Addition

c)

Multiplication

d)

Subtraction

24.

. 

Solve the inequality.

a)

x ≥ 8

b)

x ≤ 8

c)

x ≥ 18

d)

x ≤ 18

25.

8.9 + j = 12.8

a)

j = 21.7

b)

j = 1.4

c)

j = 3.9

d)

j = 4.1

26.

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

27.

What inequality does the number line graph represent

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x > 4

28.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 2

c)

x < -3

d)

x ≤ 6

29.

What inequality does the number line graph represent?

a)

5 ≥ x

b)

x < 0

c)

x > -1

d)

x ≥ −5

30.

What inequality does the number line graph represent?

a)

x > -4

b)

x > 4

c)

x < 4

d)

x ≤ -1

31.
x + 9 = 14
a)
x = 6
b)
x = -6
c)
x = 23
d)
x = 5
32.
c - 18 = 24
a)
c = 42
b)
c = 6
c)
c = -6
d)
c = 1.3
33.
-12p = 60
a)
p = 5
b)
p = -5
c)
p = 48
d)
p = -48
34.

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

35.

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

a)

A

b)

B

c)

C

d)

D

36.
15 < x -3
a)
X >18
b)
X < 18
c)
X > 12
d)
X < 12
37.
A student needs to collect at least $30.00 for a sports fundraiser. The student has already collected $7.00. The inequality shown can be used to find d, the number of dollars the student still needs. 
d + 7 ≥  30
Which inequality represents the solution set for this situation?
a)
d ≤ 37
b)
d ≥ 37
c)
d ≤ 23
d)
d ≥ 23
38.
Solve the inequality
x - 2 < 5
a)
x < 3
b)
x ≥ 7
c)
x < 7
d)
x ≤ 7
39.
Solve the inequality
b ÷ 2 > 4
a)
b < 8
b)
b ≥ 8
c)
 b > 8
d)
b > 2
40.
Tell whether the given value is a solution to the inequality
y + 4 < 16 ;  y = 13
a)
IS a solution
b)
IS NOT a solution
41.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
42.
What is the inverse operation needed to solve for p?
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
43.
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.
44.
x - 17.6 = 1.9
a)
19.5
b)
18.5
c)
20.5
d)
21.5
45.

What are two solutions to x < 8?

a)

8.6, 7.9

b)

11, 16

c)

0.8, 5.9

d)

12, 7.1

46.

5x <<  30

a)
b)
c)
d)
47.

t + 250 ≤\le  600

a)

t  ≥\ge  350

b)

t  ≤\le  850

c)

t  ≤\le  350

d)

t  ≥\ge  850

48.

What value of x makes this equation true?

-90 = -100 + x

a)

-10

b)

10

c)

-190

d)

190

49.

x5=10\frac{x}{5}=10  

a)

x = 2

b)

x = 5

c)

x = 50

d)

x = 15

50.

-9x ≥\ge  -99

a)

x  ≥\ge  11

b)

x  ≤\le  11

c)

x  ≥\ge  -90

d)

x  ≤\le  90

Similar Resources on Wayground

G4 Mental Math - 50

50 questions

G4 Mental Math - 50

quiz

Worksheet

•

4th - 6th Grade

Duta Competition

50 questions

Duta Competition

quiz

Worksheet

•

6th Grade

0406-Multiply-Tables(15-16)_V2

50 questions

0406-Multiply-Tables(15-16)_V2

quiz

Worksheet

•

4th - 6th Grade

LATIHAN PERKALIAN

50 questions

LATIHAN PERKALIAN

quiz

Worksheet

•

1st - 9th Grade

Number Properties - Ex 3K

47 questions

Number Properties - Ex 3K

quiz

Worksheet

•

5th - 8th Grade

IAVL5 Abacus Category 3

50 questions

IAVL5 Abacus Category 3

quiz

Worksheet

•

1st - 6th Grade

Review

45 questions

Review

quiz

Worksheet

•

6th - 8th Grade

Y7 Unit 1 Checkpoint Review

48 questions

Y7 Unit 1 Checkpoint Review

quiz

Worksheet

•

6th - 8th Grade