WorksheetPremium

National Parks Road Trip: Read the Rewrites

Interpret equivalent expressions to compare road-trip distances, shared costs, and supplies for a national parks journey.

Grade 7MathInteractive · Printable

Aligned to7.EE.A.2

Buy this worksheet: $1.50

Or unlock every Premium worksheet with Premium

PrintUnlock to print

Answer keyUnlock to see answers

Assign to classUnlock to assign with a class code

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 7
Subject: Math
Question types: Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

Students interpret how equivalent expressions reveal relationships among quantities.
Students use rewritten expressions to compare distances, costs, and supply amounts.

How to use

Have students mark what each term or factor represents before answering. Discuss how different forms highlight different features of the same plan.

Curriculum

Common Core standard covered

7.EE.A.2

See how rewriting an expression in another form shows how quantities relate, such as a + 0.05a = 1.05a for a 5% raise.

Preview

OwlSheets.com

Name Date

National Parks Road Trip: Read the Rewrites

Use equivalent expressions to uncover relationships in travel plans.

Compare the Routes

Each situation is part of a road trip across national parks. Use the rewritten forms to interpret the plans.

A family plans four driving days. The distances are shown below.

Four-Day Driving Plan
Days	Miles each day
First two days	x
Last two days	x + 18

The total is 2x + 2(x + 18) = 4x + 36. What does the rewritten form reveal?

A. The total is 36 miles more than driving x miles on each of two days.
B. The total is 72 miles more than driving x miles on each of four days.
C. The total is 36 miles more than driving x miles on each of four days.
D. The total is 18 miles more than driving x miles on each of four days.

Between two park visits, the family drives x miles one day and x + 26 miles the next. The average daily distance is (x + (x + 26))/2 = x + 13.

How much greater is the average daily distance than the first day's distance? miles

The full road trip is p miles. The family drives 0.35p miles before reaching the first park and another 0.25p miles before reaching the second park. The remaining distance is p − (0.35p + 0.25p) = 0.40p. What does 0.40p represent?