Inequality word problems extension

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

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.)

Write the inequality to the problem.

• 0.60x+5 ≥ 14

• 0.60x+5 ≤ 14

• 0.60x+5 > 14

• 0.60x+5 < 14

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Caleb is making lemonade and cookies for the school bake sale. He has 10 cups of sugar. He needs two cups of sugar for lemonade. Each batch of cookies uses 1 1/2 cups of sugar. What is the maximum number of cookie batches he can make?

Write the inequality to the problem.

• 1.5x - 2 ≥ 10

• 1.5x - 2 ≤ 10

• 2x - 1.5 ≥ 10

• 2x - 1.5 ≤ 10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Sam make $10.25 per hour working at Cheddars.  He plans to buy a laptop for $550.  Write and solve an inequality describing how many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)

• 10.25h < 550; less than 54 hours
• 10.25h > 550; greater than 54 hours
• 10.25h ≤ 550; at most 54 hours
• 10.25h ≥ 550; at least 54 hours

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?

• 30x + 600 > 1,500
• 30x + 600 ≥ 1,500
• 30x + 600 < 1,500
• 30x + 600 < 1,500

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3