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Summer Work: Hours, Rates, and Take-Home Pay worksheet preview

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Summer Work: Hours, Rates, and Take-Home Pay

Solve equations about summer mowing and babysitting jobs, and connect algebraic steps to arithmetic strategies.

Grade 7MathInteractive · Printable

Aligned to7.EE.B.4.a

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 13 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 model and solve word problems using equations of the forms px + q = r and p(x + q) = r.
  • Students compare algebraic solution steps with arithmetic strategies in work and earnings contexts.

How to use

Have students define each unknown and show their equation steps on scratch paper. Discuss how each arithmetic strategy undoes the operations in its equation.

Curriculum

Common Core standard covered

7.EE.B.4.a

Solve word problems with equations like px + q = r and p(x + q) = r, and compare the algebra with an arithmetic solution.

Preview

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Name Date

Summer Work: Hours, Rates, and Take-Home Pay

Model mowing and babysitting jobs with equations.

Read the Work Record

Use each record to identify or solve an equation. Pay attention to what the unknown represents.

1.
Malik models a mowing job with 14x − 9 = 61, where x is the number of hours worked. Which record matches his equation?
  • A. He earns $14 per hour, receives a $9 tip, and takes home $61.
  • B. He earns $14 per hour, pays $9 for fuel, and takes home $61.
  • C. He earns $14 per hour, works 9 hours, and takes home $61.
  • D. He earns $9 per hour, pays $14 for fuel, and takes home $61.
2.
Elena earns $11 per hour babysitting and receives one $8 tip. Her total pay is $63. Write and solve an equation for the number of hours she worked.

Elena worked   hours.

3.
Priya completes four identical lawn jobs. The table describes each job. Altogether, the four jobs take 112 minutes.
Time for Each Lawn Job
TaskMinutes
Mowingx
Trimming edges7
Use 4(x + 7) = 112 to find the mowing time for one lawn.

Mowing one lawn takes   minutes.

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