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Makerspace Lending: Simplify the Records worksheet preview

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Makerspace Lending: Simplify the Records

Practice adding, subtracting, expanding, and factoring linear expressions with rational coefficients in library makerspace lending situations.

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, 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 apply equivalent expressions to makerspace lending records.

How to use

Have students show intermediate rewrites on separate paper. Use the final explanation to discuss how a shared factor can simplify a sum.

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

Makerspace Lending: Simplify the Records

Rewrite expressions for lending tools and kits.

Combine the Records

Combine like terms and use the distributive property. Each rewrite must be equivalent for every value of x.

1.
The library estimates the time needed to check and pack x borrowed tool kits. Which simplified expression gives the total time in minutes?
Tool Kit Checkout
TaskTime (minutes)
Check tools0.6x + 1.4
Pack kits0.9x + 0.6
  • A. 2.1x + 1.4
  • B. 1.5x + 0.8
  • C. 1.5x + 2
  • D. 0.3x + 2
2.
Expand the expression from a lending-desk calculation. Include the sign of each number.

(5/8)(16x − 24) =  x + ( )

3.
Combine these two signed adjustments to a kit-preparation estimate. Write each answer as a fraction in simplest form.

(7/10 x − 3/5) + (−1/5 x + 9/10) =  x +  

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