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Skate and Climb: What the Forms Reveal worksheet preview

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Skate and Climb: What the Forms Reveal

Interpret equivalent expressions to compare gym memberships, explain discounts, and understand climbing-route changes.

Grade 7MathInteractive · Printable

Aligned to7.EE.A.2

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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 interpret equivalent expressions to explain membership costs and savings.
  • Students rewrite expressions to identify percent changes and relationships among route quantities.
  • Students distinguish expressions that apply a discount to different parts of a total.

How to use

Have students identify what each term represents before rewriting. Use the final question to discuss why parentheses matter when applying discounts.

Curriculum

Common Core standard covered

7.EE.A.2

See how rewriting an expression in another form shows how quantities relate, such as a + 0.05a = 1.05a for a 5% raise.

Preview

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Name Date

Skate and Climb: What the Forms Reveal

Rewrite expressions to uncover costs, savings, and route changes.

Membership Meanings

Use equivalent forms to explain what each cost expression reveals. All prices are in dollars.

1.
A skate and climbing gym charges p dollars for a monthly membership. A student pays p − 0.12p, which can be rewritten as 0.88p. What does 0.88 reveal?
  • A. The student pays $0.88 less than the regular price.
  • B. The student pays 88% more than the regular price.
  • C. The student pays 88% of the regular price.
  • D. The student pays 12% of the regular price.
2.
Four friends each buy a membership costing p dollars and a required wrist guard costing $6. Their total is 4(p + 6) = 4p + 24.

Which amount in the expanded form represents the total wrist-guard cost? $ 

3.
A climbing wall has n holds. Staff add one-fourth as many holds as it originally had. Which expression shows the new total as a multiple of the original number?
  • A. 0.25n
  • B. 0.75n
  • C. n + 0.25
  • D. 1.25n

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