Mastering Absolute Value: Context and Inequalities for 8th Grade

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

• 10

• 0

• -5

• 5

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

• |d| = 15, where d = -15

• |d| = 12, where d = -12

• |d| = 12, where d = 12

• |d| = 10, where d = -10

The distance between two cities is 30 miles. If one city is 10 miles north of the other, what is the absolute value of their distance apart?

• 15 miles

• 30 miles

• 20 miles

• 40 miles

A student scored 15 points above the average in one game and 10 points below in another. Write an absolute value inequality to represent the range of scores relative to the average.

• |score - x| > 10

• |score - x| = 10

• |score + x| < 15

• |score - x| < 15

A car's speedometer shows a speed of 60 miles per hour. If the speed can vary by 5 miles per hour, write an absolute value inequality to represent the possible speeds.

• |x - 60| ≥ 5

• |x - 55| < 5

• |x + 60| ≤ 5

• |x - 60| ≤ 5

A mountain climber is at an elevation of 2000 feet. If they descend 300 feet, what is the absolute value of their new elevation?

• 1900

• 2100

• 1600

• 1700

A bank account has a balance of $150. If the balance can fluctuate by $50, write an absolute value inequality to represent the possible balance range.

• |x - 150| ≤ 50

• |x - 200| ≤ 50

• |x - 100| ≤ 50

• |x + 150| ≤ 50

A runner's time for a race was 2 minutes slower than the average time of 25 minutes. Write an absolute value equation to express this situation.

• |x + 25| = 2

• |x - 30| = 2

• |x - 25| = 2

• |x - 20| = 5

The temperature in a freezer is set to -10 degrees Fahrenheit. If it can vary by 3 degrees, write an absolute value inequality to represent the possible temperatures.

• |T + 10| < 3

• |T - 10| ≥ 3

• |T - 10| ≤ 3

• |T + 10| ≤ 3

A hiker is 5 miles from the trailhead in one direction and 3 miles in the opposite direction. What is the absolute value of the total distance from the trailhead?

• 10 miles

• 6 miles

• 8 miles

• 4 miles