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Weekend Bike Repair: Expression Rewrites worksheet preview

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Weekend Bike Repair: Expression Rewrites

Practice adding, subtracting, expanding, and factoring linear expressions with rational coefficients in a student-run bike-repair business.

Grade 7MathInteractive · Printable

Aligned to7.EE.A.1

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

About this worksheet

What students practice

  • Students add and subtract linear expressions with rational coefficients.
  • Students expand and factor linear expressions using the distributive property.
  • Students justify equivalent expressions in bike-repair business models.

How to use

Use after introducing like terms and the distributive property. Have students show their rewrites on separate paper and discuss the final error analysis.

Curriculum

Common Core standard covered

7.EE.A.1

Add, subtract, factor, and expand linear expressions with rational coefficients using properties of operations.

Preview

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Name Date

Weekend Bike Repair: Expression Rewrites

Combine, expand, and factor expressions for Maya and Omar’s repair business.

Combine the Records

Simplify each expression. Combine like terms, and pay attention to subtraction signs.

1.
Maya and Omar run a weekend bike-repair business. For x repair kits, their tire supplies cost (2.5x + 4) dollars and their brake supplies cost (1.5x + 7) dollars. Which expression represents the total cost?
  • A. 15x
  • B. 4x + 7
  • C. 4x + 11
  • D. 3.75x + 11
2.
For x repairs, revenue is (7x + 9) dollars and expenses are (2x + 3) dollars. Profit is revenue minus expenses. Which expression represents profit?
  • A. 5x + 6
  • B. 5x + 12
  • C. 9x + 12
  • D. 9x + 6
3.
Two supply orders cost (0.75x + 2.50) dollars and (1.25x + 1.50) dollars. Complete the simplified expression for their combined cost.

(0.75x + 2.50) + (1.25x + 1.50) =  x +  

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