WorksheetsCompound Inequalities Word Problems
Total questions: 20
Worksheet time: 20mins
Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?
20x + 120 ≥ 3
x/3 + 20 ≤ 120
3x + 20 ≤ 120
3x + 20 ≥ 120
Solve and give the final solution set:
-4x + 1 ≤ 21 and 5x + 2 < 22
All real numbers
x ≥ -5 or x < 4
No Solution
x ≥ -5 and x < 4
Every day, a man needs to eat at least 1800 but less than 1900 calories. Write an inequality representing the possible amount of calories you could get.
1800 ≤ c ≤ 1900
1800 ≤ c < 1900
1800 < c ≤ 1900
1800 < c < 1900
Write a compound inequality from the following word problem: The temperature is at least 80 degrees Fahrenheit and no more than 90 degrees Fahrenheit.
80 <= temperature < 90
temperature >= 80 and temperature <= 90
80 <= temperature <= 90
temperature > 80 and temperature < 90
Solve:
A
B
C
D
20
21
22
23
Write a compound inequality from the following word problem: The number of hours you work must be greater than 20 and less than or equal to 40.
20 ≤ hours worked < 40
20 < hours worked ≤ 40
20 ≤ hours worked ≤ 40
20 < hours worked < 40
Write a compound inequality from the following word problem: The weight of a package must be between 10 pounds and 20 pounds, inclusive.
10 ≤ weight ≤ 20
weight ≤ 10 or weight ≥ 20
weight > 10 or weight < 20
weight ≥ 10 and weight ≤ 20
Write a compound inequality from the following word problem: The speed of a car must be at least 60 miles per hour and no more than 70 miles per hour.
60 < speed < 70
60 <= speed <= 70
speed >= 60 and speed <= 70
speed > 60 and speed < 70
Write a compound inequality from the following word problem: The cost of a concert ticket is at most $50 or more than $100.
x ≤ 50 or x < 100
x ≥ 50 and x ≤ 100
x > 50 and x < 100
x ≤ 50 or x > 100
Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?
5x + 10 ≥ 100
5x - 100 ≥ 10
10x + 5 ≤ 100
5x + 10 > 100
Solve the compound inequality: 2(x - 3) > 8 and 3x + 5 < 20.
x > 10
x < 5
5 < x < 7
x > 7
Solve and graph:
A
B
C
D
Solve:
A
B
C
D
Solve:
A
B
C
D
0 < x + 7 < 9
-7
-7
-7>x and x>2
-7>x or x>2
What inequality is graphed?
x > 2 and x ≤ -3
x > 2 and x < -3
x > 2 or x ≤ -3
x > 2 or x < -3
Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell?
x/5.50 ≥ 5225
5.50x ≥ 5225
x + 5.50 ≤ 5225
x - 5.50 ≤ 5225
Which situation can be represented by the inequality
15 + 6x ≤ 100?
Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
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?
25 - 12x ≥ 200
25 + 12x ≥ 200
13x ≥ 200
25 + 12x > 200
