WorksheetsOne Step Inequalities Word Problems
Total questions: 20
Name
Class
Date
1.
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on the taxi ride.
a)
1.75 + 0.65m < 10
b)
1.75 + 0.65m > 10
c)
1.75m + 0.65 < 10
d)
1.75m + 0.65 > 10
2.
The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?
a)
6x + 8 ≥ 42
b)
8x + 6 ≤ 42
c)
6x + 8 > 42
d)
8x + 6 < 42
3.
Svetlana's hair is 4 centimeters long. Her hair grows 1.5 centimeters per month. Svetlana wants her hair to grow so that it is at least 7 centimeters long. Write an inequality to determine the number of months, m, it will take Svetlana's hair to grow so it is at least 7 centimeters long.
a)
4+ 1.5m <= 7
b)
1.5m - 4 <=7
c)
1.5m - 4>= 7
d)
1.5m + 4 >= 7
4.
Match the inequality to the word problem.Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?
a)
25 - 12x ≥ 200
b)
25 + 12x ≥ 200
c)
13x ≥ 200
d)
25 + 12x > 200
5.
Write an inequality for the situation:
George rented a bike for 4 hours. There was a $10 dollar deposit to pay in addition to the hourly rate. What was the hourly rate if the total came to less than or equal to $65?
George rented a bike for 4 hours. There was a $10 dollar deposit to pay in addition to the hourly rate. What was the hourly rate if the total came to less than or equal to $65?
a)
10x + 65 ≥ 40
b)
4x + 10 ≤ 65
c)
4x - 10 ≤ 65
d)
65 + 4x ≥ 40
6.
Write an inequality for the situation:
George rented a bike for 4 hours. There was a $10 dollar deposit to pay in addition to the hourly rate. What was the hourly rate if the total came to less than or equal to $65?
George rented a bike for 4 hours. There was a $10 dollar deposit to pay in addition to the hourly rate. What was the hourly rate if the total came to less than or equal to $65?
a)
10x + 65 ≥ 40
b)
4x + 10 ≤ 65
c)
4x - 10 ≤ 65
d)
65 + 4x ≥ 40
7.
Write an inequality:
Twenty-two more than four times a number is less than 82.
Twenty-two more than four times a number is less than 82.
a)
22 + 4n ≤ 82
b)
22 + 4n > 82
c)
82 + 22n ≥ 4
d)
22 + 4n < 82
8.
Which is the solution of
-6a ≥ -36
-6a ≥ -36
a)
a ≥ 6
b)
-6 ≥ a
c)
a ≤ 6
d)
6 ≤ a
9.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ -3
10.
Which graph matches the inequality
x ≥ 2.5?
x ≥ 2.5?
a)
A
b)
B
c)
C
d)
D
11.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
12.
After addressing 75 envelopes, a political volunteer has fewer than 26 envelopes left to address. Which inequality can be used to find the total number of envelopes (e)?
a)
75 - e < 26
b)
e - 75 < 26
c)
75 - e > 26
d)
e - 75 > 26
13.
To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.
a)
X < 5
b)
X > 5
c)
X ≥ 5
d)
X ≤ 5
14.
A student must be at least 15 years old to obtain a driver’s permit.
a)
x > 15
b)
x < 15
c)
x ≤ 15
d)
x ≥ 15
15.
To order from the kids menu a person must be no more than 12 years old.
a)
x > 12
b)
x < 12
c)
x ≥ 12
d)
x ≤ 12
16.
You and your friend are planning to walk across an old bridge. The bridge can hold at most 1000 pounds. The total weight of the people currently on the bridge is 675 pounds. You weigh 156 pounds.Write and solve an inequality that represents how much your friend can weigh within the limits of the bridge.
a)
X ≤ 169
b)
X < 169
c)
X < 156
d)
X > 156
17.
You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95. Write and solve an inequality that represents how much more you must spend to get free shipping.
a)
X > 5.05
b)
X ≥ 5. 05
c)
X > 69.95
d)
X ≥ 69.95
18.
You bike for 2 hours at a speed no faster than 17.6 miles per hour. Write and solve an inequality that represents the possible numbers of miles you bike.
a)
X ≤ 17.6
b)
X ≥ 17.6
c)
X ≥ 35.2
d)
X ≤ 35.2
19.
Which of the following inequalities would require you to flip the sign when solving?
a)
2x < 3
b)
3x > - 9
c)
-4x ≥ 10
d)
5x ≤ 15
20.
Solve the following inequality:
-4x + 14 ≤ 54
-4x + 14 ≤ 54
a)
x ≥ -10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
Answer KeyOne Step Inequalities Word Problems
Total questions: 20
1.
a) 1.75 + 0.65m < 10
2.
b) 8x + 6 ≤ 42
3.
d) 1.5m + 4 >= 7
4.
b) 25 + 12x ≥ 200
5.
b) 4x + 10 ≤ 65
6.
b) 4x + 10 ≤ 65
7.
d) 22 + 4n < 82
8.
c) a ≤ 6
9.
a) x ≥ 3
10.
a) A
11.
c) x ≤ 8
12.
b) e - 75 < 26
13.
c) X ≥ 5
14.
d) x ≥ 15
15.
d) x ≤ 12
16.
a) X ≤ 169
17.
b) X ≥ 5. 05
18.
d) X ≤ 35.2
19.
c) -4x ≥ 10
20.
a) x ≥ -10
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