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Skate and Climb: Which Plans Work? worksheet preview

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Skate and Climb: Which Plans Work?

Check equations and inequalities by substitution using skate and climbing gym memberships, session limits, and route challenges.

Grade 6MathInteractive · Printable

Aligned to6.EE.B.5

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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, Circle the answer, Sorting, Short answer

About this worksheet

What students practice

  • Students substitute given values to determine whether equations and inequalities are true.
  • Students identify values from a specified set that satisfy equations and inequalities.
  • Students explain why a proposed value does or does not satisfy a gym rule.

How to use

Have students show each substitution on separate paper before selecting an answer. Discuss why equality works for some limits but not for strict inequalities.

Curriculum

Common Core standard covered

6.EE.B.5

Understand solving an equation or inequality as finding values that make it true, and check values by substituting.

Preview

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Name Date

Skate and Climb: Which Plans Work?

Substitute values to check equations, inequalities, and gym plans.

Membership Checks

A solution makes the original equation or inequality true. Substitute each proposed value before deciding.

1.
A gym membership costs $14 plus $6 per visit. The equation 14 + 6n = 50 describes a month costing exactly $50. Which substitution shows that n = 6 is a solution?
  • A. 14 × 6 + 6 = 90
  • B. 14 + 6 × 6 = 50
  • C. 14 + 6 + 6 = 26
  • D. (14 + 6) × 6 = 120
2.
A different membership includes $11 in fixed fees and $4 per visit. Select every listed value of n that makes 11 + 4n ≤ 31 true.

n = 3n = 6n = 5n = 4n = 7

3.
Elena checks x + 8.50 = 23, where x is her membership charge before an $8.50 rental fee. Test her proposed value x = 14.50.

After substitution, the left side equals   dollars. Does this value make the equation true? Write yes or no:  

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