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Algebra 1

2.12.6 Practice

Algebra 12.12.6 Practice

2.12.6 Practice

2.12.6 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

For questions 1 – 4, use the following scenario:

Harrison works two part time jobs. One at a gas station that pays $11 an hour and the other is IT troubleshooting for $16.50 an hour. Between the two jobs, Harrison wants to earn at least $330 a week. How many hours does Harrison need to work at each job to earn at least $330?

  1. Let x be the number of hours he works at the gas station and let y be the number of hours he works troubleshooting. Which inequality correctly models this situation?
  1. 16.5 y + 11 x > 330
  2. 11 x + 16.5 y ≤ 330
  3. 16.5 x + 11 y ≥ 330
  4. 11 x + 16.5 y ≥ 330
  1. Which graph correctly represents the inequality from the previous question?
  1. Which of the following ordered pairs is a solution to the inequality?
  1. ( 3 , 17 )
  2. ( 15 , 9 )
  3. ( 25 , 2 )
  4. ( 10 , 20 )
  1. Which of the following is true about the solution you found in the previous question?
  1. The solution represents a work schedule that earns him more than $330 per week.
  2. The x -coordinate represents how many hours he works at the IT job.
  3. The y -coordinate represents how many hours Harrison will work at the gas station.

For questions 5 – 8, use the following passage:

The doctor tells Maya she needs to exercise enough to burn 500 calories each day. She likes to run which burns 15 calories per minute or bike which burns 10 calories per minute.

  1. If x is the number of minutes that Maya runs and y is the number of minutes she bikes, find the inequality that models the situation.
  1. 15 x + 10 y ≤ 500
  2. 15 x + 10 y > 500
  3. 15 x + 10 y ≥ 500
  4. 15 x + 10 y < 500
  1. Which graph correctly represents the inequality from the previous question?
  1. Which of the following ordered pairs is a solution to the inequality?
  1. ( 25 , 10 )
  2. ( 20 , 15 )
  3. ( 15 , 30 )
  4. ( 5 , 40 )
  1. Which of the following is true about the solution you found in the previous question?
  1. The solution represents a workout which allows Maya to burn at least 500 calories.
  2. The y -coordinate represents the number of minutes that Maya runs.
  3. The x -coordinate represents the number of minutes that Maya bikes.

For questions 9 – 12, use the following scenario:

Armando’s workouts consist of kickboxing and swimming. While kickboxing, he burns 10 calories per minute and he burns 7 calories a minute while swimming. He wants to burn at least 600 calories each day.

  1. If x is the number of minutes that Armando will kickbox and y is the number of minutes he will swim, find the inequality that will help Armando create a workout for today.
  1. 10 x + 7 y ≥ 600
  2. 10 x + 7 y > 600
  3. 7 x + 10 y < 600
  4. 7 x + 10 y ≥ 600
  1. Which graph correctly represents the inequality from the previous question?
  1. Which of the following ordered pairs is a solution to the inequality?
  1. ( 40 , 20 )
  2. ( 30 , 40 )
  3. ( 10 , 70 )
  4. ( 20 , 70 )
  1. Which of the following is true about the solution you found in the previous question?
  1. The solution represents a workout which allows Armando to burn at least 500 calories.
  2. The y -coordinate represents the number of minutes that Armando swims.
  3. The x -coordinate represents the number of minutes that Armando swims.
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