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Summer Work: Same Pay, Different Expressions worksheet preview

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Summer Work: Same Pay, Different Expressions

Compare equivalent expressions using summer lawn-mowing and babysitting plans, including decimals, fractions, 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 expression structure and counterexamples to decide whether expressions are equivalent.
  • Students compare equivalent expressions representing mowing and babysitting earnings.

How to use

Use after students learn the distributive property and combining like terms. Have students record checks on separate paper and discuss why one matching value is not enough.

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.

Preview

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Summer Work: Same Pay, Different Expressions

Compare expressions for lawn-mowing and babysitting work.

Compare Pay Expressions

Equivalent expressions have the same value for every value of the variable. Each work plan is separate. Choose or complete equivalent expressions.

1.
Amira charges $18 to mow a lawn and $6 to trim its edges. For x lawns with trimming, she earns 18x + 6x dollars. Which expression is equivalent?
  • A. 24 + x
  • B. 24x
  • C. 18x + 6
  • D. 108x
2.
Luis babysits for x hours at $11 per hour on each of two evenings. Which expression is equivalent to 2(11x)?
  • A. 22 + x
  • B. 22x
  • C. 11x + 2
  • D. 13x
3.
A mowing plan pays 7x + 21 dollars, where x is the number of lawns. Select all expressions equivalent to 7x + 21.

7(x + 3)7(x + 21)21 + 7x28x7x + 7 + 7 + 7

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