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National Park Road Trip: Formula Checks

Evaluate national park road-trip formulas using parentheses, powers, fractions, and decimals, then compare plans and explain an error.

Grade 6MathInteractive · Printable

Aligned to6.EE.A.2.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 6
Subject: Math
Question types: Fill in the blank, Multiple choice, Short answer

About this worksheet

What students practice

Students evaluate expressions with given variable values using the order of operations.
Students evaluate distance, fuel, perimeter, area, and volume formulas.
Students compare evaluated formulas and explain an order-of-operations error.

How to use

Have students show substitution and intermediate steps on separate paper. Discuss how parentheses and exponents affect the final error-analysis problem.

Curriculum

Common Core standard covered

6.EE.A.2.c

Evaluate expressions and real-world formulas for given variable values, following the order of operations.

Preview

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Name Date

National Park Road Trip: Formula Checks

Substitute values, evaluate formulas, and check travel plans.

Check the Route

A family is planning a road trip across several national parks. Use the planning formulas given; they are not official park prices or travel estimates. Show your substitution and follow the order of operations.

After leaving a park entrance, the family's total distance for the day is modeled by 45h + 18 miles, where h is the number of hours driven since leaving the entrance. Evaluate the expression for h = 3.

Total distance: miles

On a slower road, the distance remaining is modeled by 210 − 36h miles, where h is the number of hours driven. What distance remains when h = 4?

A. 696 miles
B. 174 miles
C. 66 miles
D. 170 miles

The family divides a route into six equal-distance sections. Each section is (d + 24) ÷ 6 miles long, where d is the main route distance and 24 miles is an added detour. Find the section length for d = 156.

Length of each section: miles

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