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Bus and Subway: Rewrite the Route

Practice distributing, factoring, and combining like terms through city bus and subway trip-planning problems.

Grade 6MathInteractive · Printable

Aligned to6.EE.A.3

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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, Matching, Circle the answer, Short answer

About this worksheet

What students practice

Students use the distributive property to expand and factor equivalent expressions.
Students use commutative and associative properties to regroup and combine like terms.
Students rewrite expressions representing bus and subway trip times.

How to use

Have students rewrite each expression before checking the choices. Discuss the final error analysis to distinguish equivalent expressions from expressions that match for only one value.

Curriculum

Common Core standard covered

6.EE.A.3

Use properties of operations to write equivalent expressions, such as rewriting 3(2 + x) as 6 + 3x.

Preview

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Name Date

Bus and Subway: Rewrite the Route

Use properties of operations to rewrite trip-planning expressions.

Expand the Trip Plan

Choose or complete an equivalent expression. Each rewrite must work for every allowed value of the variable.

A planner lists 5 identical bus trips. Each trip includes x minutes riding and 4 minutes waiting. Which expression is equivalent to 5(x + 4)?

A. 5x + 4
B. 9x
C. x + 20
D. 5x + 20

Distribute to rewrite an expression for 3 subway rides.

3(2x + 7) = x +

A transit pass reduces the price of each of 4 rides by $2. If x is the original price of one ride in dollars, which expression is equivalent to 4(x − 2)?