Modeling Real-World Absolute Value Scenarios for 8th Grade

A temperature dropped 5 degrees below zero. Write an absolute value equation to represent the temperature change. What is the absolute value of the temperature?

• 10

• -5

• 5

• 0

A car is traveling at a speed of 60 miles per hour. If the speed limit is 50 miles per hour, write an inequality to represent how much faster the car is going than the speed limit. What is the solution to the inequality?

• 5 miles per hour over the speed limit

• 15 miles per hour over the speed limit

• 20 miles per hour over the speed limit

• 10 miles per hour over the speed limit

A student scored 10 points above the average in one test and 10 points below the average in another. Write an absolute value equation to represent the difference in scores. What does the absolute value represent?

• |20| = 20, representing the total difference in scores.

• |10| = 10, representing the difference in one score.

• |30| = 30, representing the total score of both tests.

• |0| = 0, representing no difference in scores.

The height of a plant is 3 inches above the ground. If it can grow or shrink by 2 inches, write an absolute value inequality to represent the possible heights of the plant. What are the possible heights?

• The possible heights of the plant are between 2 inches and 4 inches.

• The possible heights of the plant are between 0 inches and 6 inches.

• The possible heights of the plant are between 1 inch and 5 inches, inclusive.

• The possible heights of the plant are between 3 inches and 7 inches.

A hiker is at an elevation of 200 feet above sea level. If they descend 50 feet, write an absolute value equation to find their new elevation. What is the new elevation?

• 100 feet

• 250 feet

• 200 feet

• 150 feet

A basketball player scored 15 points in one game and 5 points in another. Write an absolute value equation to represent the difference in scores. What is the absolute value of the difference?

• 20

• 5

• 15

• 10

A store is having a sale where prices can vary by $20 from the original price. Write an absolute value inequality to represent the possible sale prices if the original price is $100. What are the possible sale prices?

• The possible sale prices are between $70 and $130.

• The possible sale prices are between $80 and $120.

• The possible sale prices are between $90 and $110.

• The possible sale prices are between $60 and $140.

A runner's time in a race was 4 minutes faster than the average time of 30 minutes. Write an absolute value equation to represent the runner's time. What is the absolute value of the difference from the average?

• 2

• 8

• 6

• 4

A temperature range is between 10 degrees and 30 degrees. Write an absolute value inequality to represent the temperatures that are within this range. What are the solutions to the inequality?

• |x - 20| < 10; Solutions: 0 < x < 40

• |x - 15| ≤ 5; Solutions: 10 ≤ x ≤ 20

• |x - 20| ≤ 10; Solutions: 10 ≤ x ≤ 30

• |x - 25| ≥ 5; Solutions: x ≤ 20 or x ≥ 30

A student needs to score within 5 points of the class average of 80 to pass. Write an absolute value inequality to represent the scores needed to pass. What are the possible scores?

• Scores must be between 76 and 84, inclusive.

• Scores must be between 70 and 90, inclusive.

• The possible scores are between 80 and 90, exclusive.

• The possible scores are between 75 and 85, inclusive.