Absolute Value Adventures: Graphing and Real-World Contexts

A hiker is at a point 5 miles south of a campsite. If the campsite is at 0 miles, how far is the hiker from the campsite? Graph the situation on a number line.

• 5 miles

• 3 miles

• 7 miles

• 10 miles

A car is traveling 10 miles north and then 4 miles south. What is the car's distance from its starting point? Represent this on a graph.

• 4 miles

• 6 miles

• 8 miles

• 10 miles

A temperature dropped from 3 degrees to -5 degrees. What is the change in temperature? Illustrate this change using an absolute value graph.

• 10 degrees

• -8 degrees

• 5 degrees

• 8 degrees

A diver is 12 feet below sea level. How far is the diver from sea level? Show this on a number line and explain the absolute value in this context.

• 10 feet

• 12 feet

• 5 feet

• 15 feet

A student scored 15 points above the average in one game and 10 points below in another. What is the total distance from the average score? Graph the scores on a number line.

• 15 points

• 20 points

• 30 points

• 25 points

A mountain peak is 8,000 feet high, while a valley is 2,000 feet below sea level. What is the total vertical distance between the peak and the valley? Use absolute value to express this distance.

• 10000 feet

• 12000 feet

• 8000 feet

• 6000 feet

A runner's elevation changes from 200 feet above sea level to 300 feet below sea level. What is the total change in elevation? Graph this scenario.

• 500 feet

• 300 feet

• 200 feet

• 400 feet

A bank account has a balance of -$50 and then receives a deposit of $100. What is the final balance? Use absolute value to interpret the changes in the account.

• -$50

• $100

• $50

• $150

A roller coaster drops 50 feet below ground level and then rises 30 feet. What is the absolute value of the lowest point? Graph the roller coaster's elevation changes.

• 50 feet

• 20 feet

• 0 feet

• 30 feet

A temperature fluctuates from -10 degrees to 20 degrees. What is the absolute value of the difference in temperature? Illustrate this on a number line.

• 15

• 25

• 40

• 30