WorksheetsSolve Two-Step Inequalities and Inequality Word Problems
Total questions: 22
Worksheet time: 24mins
Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes.
What is the least number of cars she can wash to buy the headphones?
Define the variable.
x = Lea
x = the number of cars she needs to wash
x = the number of headphones she wants to buy
x = the money she already saved
Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes.
What is the least number of cars she can wash to buy the headphones?
Write the inequality to the problem.
14x+30 ≥ 240
14x+30 ≤ 240
30x+14 ≥ 240
30x+14 ≤ 240
Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes.
What is the least number of cars she can wash to buy the
headphones?
x ≥ 15
x ≤ 15
x > 15
x < 15
Sylvia set a goal of saving at least $200 in a savings account.
She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?
Define the variable.
x = Syliva
x = the number of weeks to reach her goal
x = her monthly allowance
x = her savings account
Sylvia set a goal of saving at least $200 in a savings account.
She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?
Write the inequality to the problem.
5x+60 ≥ 200
5x+60 ≤ 200
60x+5 ≥ 200
60x+5 ≤ 200
Sylvia set a goal of saving at least $200 in a savings account.
She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?
x ≥ 28
x ≤ 28
x > 28
x < 28
Sam earns a weekly salary of $300. He also earns a commission of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly
pay of $550?
Define the variable.
x = Sam
x = the dollar amount of sales
x = commission
x = weekly salary
Sam earns a weekly salary of $300. He also earns a commission of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly pay of $550?
Write the inequality to the problem.
0.04x+300 ≥ 550
0.04x+300≤ 550
4x+300 ≥ 550
4x+300 ≤ 550
Sam earns a weekly salary of $300. He also earns a commission of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly pay of $550?
x ≥ $6250
x ≤ $6250
x ≥ $62.50
x ≤ $62.50
Kiari needs at least $4800 to buy her first car. She has already saved half. If she saves $50/week, what is the minimum number of weeks it will take her to save enough for the car?
Define the variable.
x = Kiari
x = the number of week she needs to save
x = the price of the car
x = the money she's already saved
Kiari needs at least $4800 to buy her first car. She has already saved half. If she saves $50/week, what is the minimum number of weeks it will take her to save enough for the car?
Write the inequality to the problem.
50x+1/2 ≥ 4800
1/2x+50 ≤ 4800
50x+2400 ≥ 4800
50x+2400 ≤ 4800
Kiari needs at least $4800 to buy her first car. She has already saved half. If she saves $50/week, what is the minimum number of weeks it will take her to save enough for the car?
x ≥ 48
x ≤ 48
x ≥ 24
x ≤ 24
Dylon decides to takes his friends to a movie with his $50 of birthday money. He must take one adult with him. An adult ticket costs $9.75. Each child ticket cost $6.25. What is the maximum number of friends Dylon could take with him to the movies?
Write the inequality to the problem.
6.25x+9.75 ≥ 50
6.25x+9.75 ≤ 50
9.75x+6.25 ≥ 50
9.75x+6.25 ≤ 50
You have $14 in your pocket. A taxi has a ride fee of $5 plus an additional fee of $0.60 per mile, what is the most miles you could ride in the taxi without using all of your money?
(Mileage is rounded up if you stop before a complete mile.)
x ≥ 15
x ≤ 15
x > 15
x < 15
6 > x
7k – 2 ≥ -9
7n - 1 > 76
