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3D Design: Equivalent Expressions

Rewrite expressions for a 3D-printing club using distribution, factoring, regrouping, and combining like terms.

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, Circle the answer, Short answer

About this worksheet

What students practice

Students use the distributive property to expand and factor expressions.
Students use commutative and associative properties to rewrite expressions and combine like terms.
Students identify and explain equivalent expressions in 3D-printing plans.

How to use

Use after introducing properties of operations. Have students record intermediate steps on separate paper and discuss the final error analysis.

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.

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Name Date

3D Design: Equivalent Expressions

Use properties of operations to rewrite plans for printed parts and models.

Rewrite the Design Notes

Complete each rewrite or choose the equivalent expression. Equivalent expressions have the same value for every allowed value of the variable.

A 3D-printing club makes five identical model towers. Each tower uses x grams of filament for its body and 7 grams for its base. Distribute to rewrite the total, 5(x + 7).

5(x + 7) = x +

A design note shows 8 × (3 × x) for the total number of small connectors. Which rewrite changes only the grouping of the factors?