Mastering Absolute Value Equations and Graphing Skills

1. The temperature in a city dropped 5 degrees below zero. Write an absolute value equation to represent the temperature change. What is the absolute value of the temperature?

• -5

• 10

• 5

• 0

2. A diver is 12 feet below sea level. Write an absolute value equation to express the diver's depth. How deep is the diver in absolute terms?

• 15 feet

• 0 feet

• 10 feet

• 12 feet

3. A car's speedometer shows a speed of 60 miles per hour. If the speed can vary by 10 miles per hour, write an absolute value inequality to represent the possible speeds. What are the minimum and maximum speeds?

• Minimum speed: 50 miles per hour, Maximum speed: 70 miles per hour

• Minimum speed: 40 miles per hour, Maximum speed: 80 miles per hour

• Minimum speed: 55 miles per hour, Maximum speed: 65 miles per hour

• Minimum speed: 45 miles per hour, Maximum speed: 75 miles per hour

4. The distance from a point on a number line to zero is 8. Write an absolute value equation to find the possible values of that point. What are the two possible values?

• 5 and -5

• 10 and -10

• 7 and -7

• 8 and -8

5. A store is having a sale where the price of an item can vary by $15 from its original price of $50. Write an absolute value inequality to represent the sale price range. What is the range of sale prices?

• The range of sale prices is from $35 to $65.

• The range of sale prices is from $30 to $70.

• The range of sale prices is from $40 to $60.

• The range of sale prices is from $25 to $55.

6. A mountain climber is at an elevation of 3000 feet. If they descend 500 feet, write an absolute value equation to represent their new elevation. What is the climber's elevation in absolute terms?

• 2500 feet

• 3000 feet

• 3500 feet

• 2000 feet

7. 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. What are the minimum and maximum heights?

• Minimum height: 1 inch, Maximum height: 7 inches

• Minimum height: 3 inches, Maximum height: 5 inches

• Minimum height: 2 inches, Maximum height: 6 inches

• Minimum height: 0 inches, Maximum height: 8 inches

8. A runner is training for a marathon and wants to maintain a pace that is within 2 minutes of their target pace of 8 minutes per mile. Write an absolute value inequality to represent the acceptable pace range. What is the range of acceptable paces?

• 4 to 6 minutes per mile

• 8 to 12 minutes per mile

• 10 to 14 minutes per mile

• 6 to 10 minutes per mile

9. A bank account has a balance of $200. If the balance can fluctuate by $50, write an absolute value inequality to represent the possible account balances. What are the minimum and maximum balances?

• Minimum balance: $100, Maximum balance: $300

• Minimum balance: $50, Maximum balance: $150

• Minimum balance: $150, Maximum balance: $250

• Minimum balance: $200, Maximum balance: $400

10. A temperature gauge shows a reading of 20 degrees Celsius. If the temperature can vary by 3 degrees, write an absolute value inequality to represent the possible temperature readings. What is the range of possible temperatures?

• 15 ≤ T ≤ 25

• 18 ≤ T ≤ 22

• 16 ≤ T ≤ 24

• 17 ≤ T ≤ 23