(Gr7) Lesson 7.2 Inequality Story Problems

To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.

• x < 5

• x > 5

• x ≥ 5

• x ≤ 5

A student must be at least 15 years old to obtain a driver’s permit. Write an inequality that represents this situation.

• x > 15

• x < 15

• x ≤ 15

• x ≥ 15

To order from the kids menu, a person must be no more than 12 years old. Write an inequality that represents this situation.

• x > 12

• x < 12

• x ≥ 12

• x ≤ 12

You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95. How much more do you need spend to get free shipping?

• x > 5.05

• x ≥ 5. 05

• x > 69.95

• x ≥ 69.95

Which of the following inequalities would require you to reverse the inequality sign when solving?

• 2x < 3

• 3x > - 9

• -4x ≥ 10

• 5x ≤ 15

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on the taxi ride. Write an inequality to represent how many miles Katie can ride in the taxi.

• 1.75 + 0.65m < 10

• 1.75 + 0.65m > 10

• 1.75m + 0.65 < 10

• 1.75m + 0.65 > 10

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?

• 6x + 8 ≥ 42
• 8x + 6 ≤ 42
• 6x + 8 > 42
• 8x + 6 < 42

Tags

CCSS.7.EE.B.4B

Which of the situations can be represented by the inequality 15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

Laura wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Laura earns $12 for each dog that she walks. How many dogs would Laura have to walk to reach her goal of $200?

• 25 - 12x ≥ 200

• 25 + 12x ≥ 200

• 13x ≥ 200

• 25 + 12x > 200

Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end of the summer. He withdraws $25 per week for food, clothing, and movie tickets. How many weeks can Keith withdraw money from his account?

• no more than 16 weeks

• no more than 14 weeks

• no more than 12 weeks

• no more than 10 weeks