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School Store: Checkout Equality Audit worksheet preview

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School Store: Checkout Equality Audit

Classify linear equations using school store order calculations, missing values, and error analysis.

Grade 8MathInteractive · Printable

Aligned to8.EE.C.7.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 8
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Sorting, Short answer

About this worksheet

What students practice

  • Students simplify linear equations to identify one solution, no solution, or infinitely many solutions.
  • Students use equivalent equations to justify when two online order calculations agree.
  • Students complete equations to produce a specified solution or solution type.

How to use

Have students simplify both sides before choosing an answer. Use the final explanation to discuss why a true constant statement does not mean x equals zero.

Curriculum

Common Core standard covered

8.EE.C.7.a

Show with examples that a linear equation in one variable can have one solution, infinitely many, or none, by simplifying it.

Preview

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Name Date

School Store: Checkout Equality Audit

Simplify equations to decide when two order calculations agree.

Audit the Calculations

Treat x as any real number unless a context states otherwise. Simplify each equation before deciding its solution type.

1.
The school store compares two checkout formulas, where x is the number of items. Which statement correctly describes when the formulas agree?
Checkout Formulas
CalculationTotal cost ($)
Website6 + 2.5x
Order report2.5(x + 2) + 1
  • A. They agree for every allowed item count.
  • B. They agree only when x = 0.
  • C. They disagree for every allowed item count.
  • D. They agree only when x = 2.
2.
An order audit produces 3(2x + 5) − x = 5x + 12. Which statement follows after simplifying and subtracting 5x from both sides?
  • A. 15 = 12, so every real number is a solution.
  • B. x = −3, so there is exactly one solution.
  • C. 15 = 12, so there is no solution.
  • D. x = 3, so there is exactly one solution.
3.
A saved checkout test contains 4(x + 4) = 6x + 2. Simplify and solve.

The only solution is x =  .

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