WorksheetsSolving Inequalities - Addition and Subtraction
Total questions: 15
Worksheet time: 1hrs 9mins
Name
Class
Date
1.
Solve the following inequality:
p - 4 < 2
p - 4 < 2
a)
p < - 2
b)
p < 6
c)
p > 6
d)
p < 8
2.
Solve the following inequality:
s + 1 ≥ -5
s + 1 ≥ -5
a)
s ≥ -6
b)
s ≥ - 4
c)
s < -6
d)
s ≤ -4
3.
Solve the following inequality:
k - 14 ≤ - 10
k - 14 ≤ - 10
a)
k ≤ 24
b)
k ≥ 4
c)
k ≤ 4
d)
k ≤ -24
4.
Solve the following inequality:
n + ³/₂ > 2
n + ³/₂ > 2
a)
n > ⁷/₂
b)
n > -¹/₂
c)
n > 1
d)
n > ¹/₂
5.
Solve the following inequality:
z - ²/₃ ≥ ¹/₃
z - ²/₃ ≥ ¹/₃
a)
z ≥ -1
b)
z ≥ 1
c)
z ≤ ¾
d)
z ≥ ¹/₃
6.
Solve the following inequality:
-⅙ + t < -½
-⅙ + t < -½
a)
t > ⅓
b)
t < -⅔
c)
t < -⅓
d)
t < -1
7.
Solve the following inequality:
d - 2.4 ≤ -5.1
d - 2.4 ≤ -5.1
a)
d ≤ -2.7
b)
d ≤ - 9.5
c)
d > -3.5
d)
d ≥ -3.7
8.
Solve the following inequality:
-4.5 + q > 2.5
-4.5 + q > 2.5
a)
q > -7
b)
q > 2
c)
q > 7
d)
q > -6.2
9.
To stay within the budge, the area of the house and garage combined is at most 3000 square feet. The area of the garage is 528 square feet. Write and solve an inequality that represents the area of the house.
a)
a ≤ 2,472 square feet
b)
a < 2,472 square feet
c)
a ≥ 1,587 square feet
d)
a < 3,467 square feet
10.
You have $137.26 in a bank account. The bank requires you to have at least $50 in your account or else you are charged a fee. Write and solve an inequality that shows the amount you can write your next check for without being charged.
a)
x < $87.26
b)
x ≥ $76.51
c)
x ≤ $87.26
d)
x ≤ $187.26
11.
The hole for a fence post is 2 feet deep. The top of the fence post needs to be at least 4 feet above the ground. Write and solve an inequality that represents the required length of the fence post.
a)
x ≥ 6 feet
b)
x ≥ 4 feet
c)
x ≤ 6 feet
d)
x < 8 feet
12.
Solve the following inequality:
-9.6 ≤ z - 2.1
-9.6 ≤ z - 2.1
a)
z > 7.5
b)
z ≥ 3.5
c)
z < 5.6
d)
z ≥ -7.5
13.
Solve the following inequality:
0 > s + π
0 > s + π
a)
s < π
b)
s > - π
c)
s < -π
d)
s > π
14.
The length of a rectangle is 5 feet and the width is x. The perimeter is less than 15 feet. Write and solve an inequality to find the value of x. (Remember perimeter is adding around the shape.)
a)
x < 5
b)
x < 2.5
c)
x < 10
d)
x > 2.5
15.
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
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