Mastering Absolute Value Inequalities: Grade 8 Challenge

A car's speed must not differ from 60 miles per hour by more than 10 miles per hour. Write the absolute value inequality and find the range of acceptable speeds.

• 50 ≤ s ≤ 70

• 60 ≤ s ≤ 80

• 30 ≤ s ≤ 50

• 40 ≤ s ≤ 60

The height of a plant is measured to be 15 cm, but it can vary by 3 cm. Write an absolute value inequality to express this and solve for the possible heights.

• 10 ≤ h ≤ 20

• 12 ≤ h ≤ 18

• 15 ≤ h ≤ 18

• 12 ≤ h ≤ 15

A student scored 85 on a test, and the teacher allows scores to vary by 4 points. Write the absolute value inequality and determine the range of acceptable scores.

• The range of acceptable scores is from 75 to 95.

• The range of acceptable scores is from 80 to 90.

• The range of acceptable scores is from 82 to 88.

• The range of acceptable scores is from 81 to 89.

A store advertises that a product is priced at $50, but the price can vary by $8. Write an absolute value inequality for the price and solve it to find the possible price range.

• $30 to $70

• $45 to $55

• The possible price range is $42 to $58.

• $40 to $60

A runner's time for a race is 30 minutes, but it can vary by 2 minutes. Write an absolute value inequality to represent this and solve for the possible times.

• 26 ≤ t ≤ 30

• 28 ≤ t ≤ 30

• 30 ≤ t ≤ 34

• 28 ≤ t ≤ 32

A bank account balance is $200, but it can fluctuate by $50. Write an absolute value inequality to express this situation and find the range of possible balances.

• 150 ≤ x ≤ 200

• 200 ≤ x ≤ 400

• 100 ≤ x ≤ 300

• 150 ≤ x ≤ 250

A classroom's temperature is set to 22 degrees Celsius, but it can vary by 3 degrees. Write the absolute value inequality and solve for the acceptable temperature range.

• 19 ≤ T ≤ 25

• 18 ≤ T ≤ 26

• 20 ≤ T ≤ 24

• 15 ≤ T ≤ 19

A delivery truck must maintain a speed of 50 miles per hour, with a tolerance of 5 miles per hour. Write the absolute value inequality and find the acceptable speed range.

• The acceptable speed range is 45 to 55 miles per hour.

• 55 to 65 miles per hour

• 30 to 50 miles per hour

• 40 to 60 miles per hour

A student needs to score within 10 points of a passing score of 75 on a test. Write the absolute value inequality and determine the range of scores that would be considered passing.

• 70 < x < 80

• 65 < x < 85

• 60 < x < 70

• 50 < x < 90