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Skate and Climb: Access Limits worksheet preview

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Skate and Climb: Access Limits

Solve and graph inequalities about skate and climbing gym memberships, route supplies, and session limits.

Grade 7MathInteractive · Printable

Aligned to7.EE.B.4.b

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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, Circle the answer, Short answer, Drawing

About this worksheet

What students practice

  • Students write and solve inequalities to compare membership costs and plan gym activities.
  • Students graph inequality solutions and distinguish continuous values from whole-number counts.
  • Students explain strict boundaries and interpret solutions in context.

How to use

Have students show their algebra beside each problem. After graphing, discuss which solutions make sense as times, lengths, or whole-number visits.

Curriculum

Common Core standard covered

7.EE.B.4.b

Solve word problems with inequalities like px + q > r or px + q < r, graph the solutions, and explain them in context.

Preview

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Name Date

Skate and Climb: Access Limits

Use inequalities to compare memberships and plan routes.

Membership Decisions

Use the prices stated in each problem. Count visits as nonnegative whole numbers.

1.
The gym offers these two monthly plans. Let x be the number of visits in one month. Which inequality means the Flex plan costs less than the Drop-in plan?
Monthly Access Prices
PlanMonthly feePrice per visit
Flex$28$5
Drop-in$0$9
  • A. 28 + 5x < 9x
  • B. 5x < 28 + 9x
  • C. 28 + 5x > 9x
  • D. 28 + 9x < 5x
2.
Using the prices in Question 1, find the fewest visits in one month for which Flex costs strictly less than Drop-in.

Fewest visits:  

3.
A separate student membership costs $16 per month plus $6 per visit. Elena wants her monthly total to be less than $55. Select every listed number of visits she can afford.

4 visits6 visits7 visits9 visits

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