Inequalities Word Problems

Write a linear inequality to represent the following word problem: A restaurant offers a discount on meals. The original price of a meal is $25. The discount is at least 30% off.

• 0.7 * 25 >= 25 - x

• 0.7 * 25 <= 25 - x

• 0.3 * 25 <= 25 - x

• 0.7 * 25 <= 25 + x

Tags

CCSS.6.EE.B.8

Write a linear inequality to represent the following word problem: A student needs to earn at least 70% of the total points to pass a course. The course has a total of 100 points.

• x = 70

• x >= 70

• x > 70

• x <= 70

Tags

CCSS.6.EE.B.8

Write a linear inequality to represent the following word problem: A company produces and sells bicycles. The production cost per bicycle is at most $200. The selling price per bicycle is at least $300.

• 200x < 300x

• 200x = 300x

• 200x ≥ 300x

• 200x ≤ 300x

Write a linear inequality to represent the following word problem: A store is having a clearance sale. The original price of a book is $15. The sale price is at least 50% off.

• x > 7.5

• x >= 7.5

• x <= 7.5

• x < 7.5

Tags

CCSS.6.EE.B.8

Write a linear inequality to represent the following word problem: A student needs to earn at least 90 points to get an A grade. Each correct answer is worth 10 points.

• 10x >= 90

• x + 10 >= 90

• 10x <= 90

• x >= 90

Tags

CCSS.6.EE.B.8

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

Tags

CCSS.7.EE.B.4B

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 600

• 125x + 55 ≥ 600

• 125x + 55 > 600

• 125x + 55 < 600

Tags

CCSS.7.EE.B.4B

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

• 200 + 25x ≥ 500

• 500 + 25x ≥ 200

• 500 - 25x ≥ 200

• 500 - 25x ≤ 200

Tags

CCSS.7.EE.B.4B

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

Tags

CCSS.7.EE.B.4B

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40

• 1.50x + 10 ≤ 40

• 1.50x + 10 <40

• 10x + 1.50 < 40

Tags

CCSS.7.EE.B.4B