inequalities word problems

Kate 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

Tags

CCSS.7.EE.B.4B

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

Owen decides to take 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 Owen could take with him to the movies?

• x ≥ 6

• x ≤ 6

• x ≥ 7

• x ≤ 7

At the end of the day, vegetables at the farmer’s market sell for $3.00 a pound, and a basket costs $5.50. If Taraji wants to buy a basket and spend no more than $10.00 total, how many pounds of vegetables can she buy?

• 3 + 5.5p < 10

• 10 = 5.5 - 3p

• 5.5 + 3p < 10

• 3p + 5.5 ≤ 10

Tags

CCSS.7.EE.B.4B

You flip an inequality symbol when you...

• subtract
• multiply and divide only
• multiple by a negative number
• multiple or divide by a negative number

Tags

CCSS.6.EE.B.8

Mrs. Underwood 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

Tags

CCSS.7.EE.B.4B

Aaron needs at least $240 to buy new headphones. He has already saved $30. He earns $14 per car that he washes.

Write the inequality to the problem.

• 14x+30 ≥ 240

• 14x+30 ≤ 240

• 30x+14 ≥ 240

• 30x+14 ≤ 240

Tags

CCSS.7.EE.B.4B

Virginia 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

Olivia gets 5 points for each answer and has already earned 10 points of extra credit She needs at least 77 points to pass.

• 10a + 5 ≥ 77

• 5a + 10 ≥ 77

• 5a + 10 > 77

• 5a + 10 ≤ 77

Tags

CCSS.7.EE.B.4B

Mykel has a $25 budget to spend on decorations for a party. He has already spent $18.60. He now wants to get some helium balloons that cost $0.80 each. Write and solve and inequality to show the number of balloons that Mykel could buy.