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WorksheetsInequalities Unit 3-Algebra
Total questions: 11
Worksheet time: 49mins
Name
Class
Date
1.
5 > 12a - (3 - 4a)
a)
1/2 > a
b)
1/2 ≥ a
c)
a > 0.5
d)
2 > a
2.
w - 3 < (2w + 1) < w + 6
a)
4 ≤ w < 5
b)
-4 ≤ w < 5
c)
-2 ≤ w < 5
d)
-2 ≤ w < 7
3.
-2≤ (n + 2)/ 3 ≤ 4
a)
8 ≤ n ≤ 10
b)
-8 ≤ n ≤ -10
c)
-8 ≤ n ≤ 10
d)
-8/3 ≤ n ≤ 10/3
4.
|x| - 7 < -4
a)
No solution
b)
x ≤ 3 or x ≥ 3
c)
x ≤ -3 and x ≤ 3
d)
-3 ≤ x ≤ 3
5.
1/3 |x + 2| ≤ 1
a)
-5 ≤ x ≤2
b)
x ≤ 2 and x ≥ 2
c)
x ≤ 2 and x ≤ -2
d)
x ≤ 2 or x ≥ -5
6.
A family decides to rent a boat for the day while on vacation. The boat’s rental fee is $500 for the first two hours and $50 for each additional half hour. Suppose the family can spend $700 for the boat. Write an inequality that represents the number of half hours for which they can rent the boat?
a)
x ≤ 2
b)
x ≤ 8
c)
x ≤ 4
d)
x < 2
7.
A family decides to rent a boat for the day while on vacation. The boat’s rental fee is $500 for the first two hours and $50 for each additional half hour. Suppose the family can spend $700 for the boat. Write an inequality that represents the number of hours for which they can rent the boat?
a)
x ≤ 2
b)
x ≤ 8
c)
x ≤ 4
d)
x < 2
8.
. Operation Snowball has decided to sell bags of popcorn at the Back to School Night for $1.50 each. Snowball spent $12 on gas to get to the store to buy the popcorn and it costs $0.55 to package each bag of popcorn. Write and solve and inequality to determine how many bags of popcorn Snowball will need to sell to make a profit? Be sure to give an appropriate answer.
a)
12.63 bags
b)
11 bags
c)
12 bags
d)
13 bags
9.
To earn a B in your Algebra course, you must achieve an unrounded average between 84 and 86 inclusive. You scored 86, 85, and 80 on the first three tests of the grading period. Write and solve a compound inequality to determine the possible scores can you earn on the fourth and final test to earn a B in the course?
a)
85 ≤ x ≤ 9
b)
85 ≤ x ≤ 93
c)
85 ≤ x ≤ 93
d)
84 ≤ x ≤ 90
10.
A company makes boxes of crackers that should weigh 213 g. A quality control inspector randomly selects boxes to weigh. Any box that varies from the weight more than 5g is sent back. Write an absolute-value inequality to find the range of allowable weights for a box of crackers.
a)
| x- 5 | ≤ 213
b)
| x- 213 | ≤ 5
c)
| 213 - x | ≤ 5
d)
| 5 - x | ≤ 213
11.
During a workout, Vince tries to keep his heart rate at 134 beats per minute. His actual heart rate varies from this value by as much as 8 beats per minute. Write and solve an absolute-value inequality to find Vince's range of heart rates.
a)
125 < x <140
b)
125 ≤ x ≤ 140
c)
126 < x <142
d)
126 ≤ x ≤ 142
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