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National Parks Road Trip: Rebuild the Travel Log

Solve systems of two linear equations to reconstruct mileage, fuel use, charging times, and other records from a national parks road trip.

Grade 8MathInteractive · Printable

Aligned to8.EE.C.8.c

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
14 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 8
Subject: Math
Question types: Fill in the blank, Multiple choice, Short answer

About this worksheet

What students practice

Students model road-trip situations with two linear equations in two variables.
Students solve systems and interpret their solutions in context.
Students explain when travel records do not determine a unique solution.

How to use

Have students define variables and write both equations before solving. Use the final record check to discuss why two equations do not always determine two unknowns.

Curriculum

Common Core standard covered

8.EE.C.8.c

Solve real-world and math problems that lead to two linear equations in two variables.

Preview

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Name Date

National Parks Road Trip: Rebuild the Travel Log

Use systems of equations to recover missing details and check travel records.

Reconstruct the Mileage

Write a system for each situation. Solve it and label your answers.

During one part of a national parks road trip, a family drives the same distance each day. Let x be the odometer reading before this part begins, and let y be the miles driven each day. The readings are taken at the end of each day.

Odometer Records
Day	Odometer (miles)
2	1840
5	2380

What was the starting odometer reading? miles. How far did the family drive each day? miles

The drive from one park campground to the next has two legs totaling 350 miles. The second leg is 1.5 times as long as the first. How long is each leg?

A. The first leg is 140 miles, and the second is 210 miles.
B. The first leg is 100 miles, and the second is 250 miles.
C. The first leg is 210 miles, and the second is 140 miles.
D. The first leg is 175 miles, and the second is 175 miles.

On a 210-mile drive between national parks, a car travels on local roads and highways. It uses 1 gallon per 20 miles on local roads and 1 gallon per 30 miles on highways. The drive uses exactly 8 gallons. Assume these fuel-use rates stay constant.

How far does the car travel on local roads? miles. How far does it travel on highways? miles

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