WorksheetsInequalities
Total questions: 12
Worksheet time: 30mins
Name
Class
Date
1.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
2.
What are two solutions to x < 8?
a)
8.6, 7.9
b)
11, 16
c)
0.8, 5.9
d)
12, 7.1
3.
The product of x and 7 is not greater than 10
a)
7x >10
b)
7x ≤ 10
c)
7 + x < 10
d)
7 / x < 10
4.
Greater than
a)
<
b)
>
c)
≤
d)
≥
5.
Less Than
a)
<
b)
>
c)
≤
d)
≥
6.
Less than or equal to
a)
<
b)
>
c)
≤
d)
≥
7.
Greater than or equal to
a)
<
b)
>
c)
≤
d)
≥
8.
The cost of a ski trip could be more than, or equal to, $3,200.
a)
x < 3200
b)
x > 3200
c)
x ≤ 3200
d)
x ≥ 3200
9.
Monica wants to spend at most $40 at the county fair. Entrance to the fair costs $15. She can spend d dollars on other things at the fair. Which inequality can be used to find the possible values of d?
a)
d − 15 > 40
b)
d − 15 < 40
c)
d + 15 ≥ 40
d)
d + 15 ≤ 40
10.
The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?
a)
106 - 4x ≤ 70
b)
70 + 4x ≤ 106
c)
4x - 106 ≥ 70
d)
106 - 4x< 70
11.
Juan bought a soda for $2. He also bought some nachos for $3 each. Juan did not spend more than $14 on the nachos and the soda. Write an inequality can be used to find n, the number of nachos that Juan could have bought.
a)
14≥2n+3
b)
2+3n≤14
c)
14-3n≤2
12.
Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?
a)
10x + 1.50 ≥ 40
b)
1.50x + 10 ≤ 40
c)
1.50x + 10 <40
d)
10x + 1.50 < 40
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