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Bike Repair: Do the Expressions Agree?

Compare equivalent expressions in a weekend bike-repair business using properties, tables, and counterexamples.

Grade 6MathInteractive · Printable

Aligned to6.EE.A.4

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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, Sorting, Short answer

About this worksheet

What students practice

Students identify expressions that have the same value for every value of the variable.
Students use properties of operations to justify expression equivalence.
Students use counterexamples to show that expressions are not equivalent.

How to use

Use after introducing the distributive property and combining like terms. Have students annotate equivalent expressions and check doubtful claims with a counterexample.

Curriculum

Common Core standard covered

6.EE.A.4

Decide when two expressions are equivalent, meaning they name the same number for any value of the variable.

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Bike Repair: Do the Expressions Agree?

Compare expressions for a student-run weekend repair business.

Compare the Expressions

Imani and Leo run a weekend bike-repair business. Help them check their calculations. Equivalent expressions have the same value for every value of the variable.

The students record 4n + 7 + 2n dollars in service charges. Which expression is equivalent?