Inequalities One Variable Word Problems

Which situation 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?

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

• 25 - 12x ≥ 200

• 25 + 12x ≥ 200

• 13x ≥ 200

• 25 + 12x > 200

The speed limit is 45. Katie was going thirty miles per hour and sped up some. Which inequality represents the amount she could speed up and not be speeding?

• 30 + s ≥ 45

• 30 - s ≥ 45

• 30 + s ≤ 45

• 30 - s ≤ 45

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

Write an inequality for the situation:
George rented a bike for 4 hours. There was a $10 dollar deposit to pay in addition to the hourly rate. What was the hourly rate if the total came to less than or equal to $65?

• 10x + 65 ≥ 40

• 4x + 10 ≤ 65

• 4x - 10 ≤ 65

• 65 + 4x ≥ 40

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?

• 16 weeks 

• 14 weeks 

• 12 weeks 

• 10 weeks 

Kathy works at a warehouse packing boxes. Her job is to place p items that each weigh 2 kg into a wooden box that weighs 1 kg. Kathy can lift a weight of up to 10 kg.

Which inequality represents the number of items Kathy can place in each box and still be able to lift the box?

• p + 2 ≥ 10

• p + 2 ≤ 10

• 2p + 1 ≥ 10

• 2p + 1 ≤ 10

Tags

7.10.A

Gabriel must practice piano at least 15 hours a week.  This week, he has practiced 6 hours so far.  Piano lessons are part of Gabriel’s practice time. Each lesson is 2 hours long. Which inequality can be used to find x, the minimum number of lessons Gabriel must attend this week?

• x + 6 ≤ 15

• 
  2x + 6 ≤ 15

• x + 6 ≥ 15

• 2x + 6 ≥ 15

Tags

7.10.A

Nathaniel runs in a charity race where $2.50 is donated for each kilometer he runs. Each runner of the race starts with a $10 donation regardless of the number of kilometers run. Nathaniel wishes to run enough kilometers to donate a minimum of $40 to charity. Write an inequality that Nathaniel can use to find the minimum number of kilometers that he must run so that he can donate a minimum of $40 to charity.

• 2.50x + 10 ≥ 40

• 2.50x + 10 ≤ 40

• 10x + 2.50 ≤ 40

• 10x + 2.50 ≤ 40

Tags

7.10.A

The greatest weight a moving truck can carry is 1,600 pounds. The truck is loaded with a piano that weighs 400 pounds. Boxes that weigh 50 pounds each will also be loaded into the truck.

Write an inequality that represents all possible values of x, the number of these boxes that can be loaded into the moving truck.

• 50x + 400 ≤ 1600

• 50x + 400 ≥ 1600

• 400x + 50 ≥ 1600

• 50x - 400 ≥ 1600

Tags

7.10.A