wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Solve & Write Equations & Inequalities (Graph Inequalities)

Total questions: 50

Worksheet time: 2hrs 47mins

Name
Class
Date
1.
Which equation has x = 2 as a solution?
a)
3 + x = 10
b)
11 + x = 13
c)
4x = 32
d)
5x =25
2.
12x = 144
a)
x = 12
b)
x = 4
c)
x = 2
d)
x = 132
3.

What is the solution of 9 + k = 18

a)

18

b)

9

c)

8

d)

7

4.

What is the solution of r - 11 = 5

a)

11

b)

14

c)

15

d)

16

5.

What is the solution of 3w = 30

a)

6

b)

9

c)

10

d)

12

6.

What is the solution of 13 = t + 7

a)

5

b)

6

c)

7

d)

20

7.

What is the solution of a - 5 = 9

a)

14

b)

9

c)

5

d)

4

8.
Solve for p:
11p = 121
a)
11
b)
12
c)
110
d)
456
9.
Solve for q:
q + 8.25 = 18
a)
q = 807
b)
q = 2.181818...
c)
q = 9.75
d)
q = 97.5
10.
Solve the equation.
150 + y = 879
a)
y = 729
b)
y = 150
c)
y = 1,029
d)
y = - 729
11.

What is the solution of 10 = t - 8

a)

2

b)

4

c)

18

d)

20

12.
y - 4.6 = 12
a)
16.6
b)
5.8
c)
7.4
d)
Answer not Given
13.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
14.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
15.

Pete mows lawns for 15 dollars per hour (h). Write an equation that represents the relationship between hours mowed and total profit (p).

a)

15p = h

b)

ph = 15

c)

15h = p

d)

15 + h = p

16.

Solve for y: 1/2y = 10

a)

10

b)

20

c)

5

d)

12

17.

The art teacher at my school is buying tubes of paint for an upcoming art project. At the store, she sees that they are on sale for $3.50 per paint tube. Write an equation to represent the relationship between number of paint tubes (p) and the total cost (c).

a)

p + c = 3.5

b)

6p = c

c)

pc = 3.5

d)

3.5p = c

18.

Tommy earns an allowance of 25 dollars per week. Write an equation to represent the number of weeks (w) and the total allowance (a).

a)

25a = w

b)

aw = 25

c)

2 + 5 = a

d)

25w = a

19.

Pete mows lawns for 15 dollars per hour (h). Write an equation that represents the relationship between hours mowed and total profit (p).

a)

15p = h

b)

ph = 15

c)

15h = p

d)

15 + h = p

20.

What is the inverse of addition?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

21.

What is the inverse of multiplication?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

22.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
23.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
24.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
25.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
26.
Does the given value make the inequality true?  x + 9 > 21, when x = 15
a)
True
b)
Not True
27.
Solve:
20< 4x
a)
x> 5
b)
x< 5
c)
x> 16
d)
x>24
28.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
29.
x - 4 > 5
a)
x < 9
b)
x ≥ 9 
c)
x > 1
d)
x > 9
30.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
31.
What inequality does the number line graph represent?
a)
-x + 4 ≥ -1
b)
-2x + 3 > -7
c)
-x + 1 < -4
d)
2x + 3 ≥ 13
32.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
33.
What inequality does the number line graph represent?
a)
-x + 5 ≥ 9
b)
2x - 3 > 5
c)
-x + 3 ≤ 7
d)
-2x + 6 > -2
34.
Solve the following inequality:
z - ²/₃ ≥ ¹/₃
a)
z ≥ -1
b)
z ≥ 1 
c)
z ≤ ¾
d)
z ≥ ¹/₃
35.
Solve the following inequality:
d - 2.4 ≤ -5.1
a)
d ≤ -2.7
b)
d ≤ - 9.5
c)
d > -3.5
d)
d ≥ -3.7
36.
Your goal is to sell at least 50 boxes of cookies for your school fundraiser. Choose the inequality that represents your goal.
a)
x ≥ 50
b)
x ≤ 50
c)
x < 50
d)
x > 50
37.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
38.
In an equation or inequality, you want to get the variable...
a)
on one side
b)
to disappear
c)
isolated (by itself)
39.
At Least
a)
<
b)
>
c)
≤
d)
≥
40.

Translate:

A number increased by 4 is no more than -18.

a)

x + 4 < -18

b)

x + 4 > -18

c)

x + 4 ≤ -18

d)

x + 4 ≥ -18

41.

Translate:

Twice a number is smaller than 42.

a)

2x < 42

b)

2x > 42

c)

2x ≤ 42

d)

2x ≥ 42

42.

Pick the correct letter for:

6 > x

a)

A

b)

B

c)

C

d)

D

43.

Pick the correct inequality shown in the picture.

a)

A

b)

B

c)

C

d)

D

44.
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
45.
Write an inequality
Tom has to have at least 15 people to go to his birthday party
a)
x<15
b)
x>15
c)
x≤15
d)
x≥15
46.
Write an inequality 
Bob needs at most 10 to go to the movies
a)
x<10
b)
x>10
c)
x≤10
d)
x≥10
47.
Which sentence represents m > 41?
a)
Mary’s points, m, totaled more than 41
b)
Calvin ran no less than 41 miles, m
c)
The temperature, m, was less than 41°F
d)
The magazines’ cost, m, was not more than $41.
48.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
49.
a)
k = 152
b)
k = 176
c)
k = 5
d)
k = 27
50.
a)
50
b)
-12.5
c)
-50
d)
12.5

Similar Resources on Wayground

Data Review

45 questions

Data Review

quiz

Worksheet

•

6th - 7th Grade

REPASO MATEMÁTICAS PROYECTO VIVIR EN SOCIEDAD

55 questions

REPASO MATEMÁTICAS PROYECTO VIVIR EN SOCIEDAD

quiz

Worksheet

•

6th - 8th Grade

ECUACIONES CON DECIMALES Y FRACCIONES

55 questions

ECUACIONES CON DECIMALES Y FRACCIONES

quiz

Worksheet

•

6th Grade

Penaakulan Logik (Pernyataaan) Matematik Ting 4 KSSM

45 questions

Penaakulan Logik (Pernyataaan) Matematik Ting 4 KSSM

quiz

Worksheet

•

4th - 8th Grade

Unit 1 Acc Review/Extra Credit

50 questions

Unit 1 Acc Review/Extra Credit

quiz

Worksheet

•

6th Grade

KUIS MATEMATIKA CIRI-CIRI DAN JARING-JARING BANGUN RUANG

52 questions

KUIS MATEMATIKA CIRI-CIRI DAN JARING-JARING BANGUN RUANG

quiz

Worksheet

•

6th Grade

Đại số 7: Cộng trừ đa thức một biến

47 questions

Đại số 7: Cộng trừ đa thức một biến

quiz

Worksheet

•

6th - 9th Grade

Mt Cikgu Baim - Bahagi (Asas)

50 questions

Mt Cikgu Baim - Bahagi (Asas)

quiz

Worksheet

•

2nd - 6th Grade