Solve Two-Step Inequalities and Inequality Word Problems

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