Understanding Absolute Value: Context and Inequalities

A temperature dropped 5 degrees below zero. What is the absolute value of the temperature?

• 0

• 10

• -5

• 5

A diver is 12 feet below sea level. Write an absolute value equation to represent the diver's depth.

• |d| = 12, where d = -12

• |d| = -12, where d = 0

• |d| = 12, where d = 12

• |d| = 0, where d = -12

The distance from a point on a number line to 3 is 7. Write the absolute value equation and solve for the point.

• 10 and -4

• -1 and 4

• 3 and 10

• 5 and 1

A car is traveling 60 miles per hour. If it can vary its speed by 10 miles per hour, write an absolute value inequality to represent the possible speeds.

• |s + 60| ≤ 10

• |s - 50| ≤ 10

• |s - 60| ≤ 10

• |s - 70| < 10

A student scored 5 points above and 5 points below the average score of 80. Write an absolute value equation to find the average score.

• 75

• 90

• 80

• 85

The height of a plant is 4 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.

• |h - 2| ≤ 4

• |h - 4| ≤ 2

• |h - 4| < 2

• |h + 4| ≤ 2

A runner's distance from the starting point is 3 miles. If the runner can be 2 miles closer or farther from the start, write an absolute value inequality to represent this situation.

• |x + 3| ≤ 2

• |x - 3| ≥ 2

• |x - 3| ≤ 2

• |x - 5| ≤ 2

A bank account has a balance of $200. If the balance can fluctuate by $50, write an absolute value inequality to represent the possible balances.

• |x + 200| ≤ 50

• |x - 250| ≤ 50

• |x - 200| ≤ 50

• |x - 150| ≤ 50

The difference in height between two mountains is 1500 feet. Write an absolute value equation to express the height of the taller mountain if the shorter one is 3000 feet.

• |h - 4500| = 1500

• |h - 3000| = 1500

• |h + 3000| = 1500

• |h - 1500| = 3000

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

• |x - 80| ≤ 20

• |x - 100| < 20

• |x - 100| ≤ 20

• |x + 100| ≤ 20