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Track Meet: Qualifying Limits

Solve track-meet inequalities, graph solution sets, and interpret strict limits for relay times, team points, and race margins.

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, Matching, Circle the answer, Short answer, Drawing

About this worksheet

What students practice

Students model track-meet conditions with two-step inequalities and solve them.
Students graph inequality solutions and interpret endpoints in context.
Students distinguish continuous solution sets from allowed whole-number or recorded-time solutions.

How to use

Use after introducing two-step inequalities. Have students show algebra beside each answer and check whether boundary values satisfy the stated meet rules.

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

Track Meet: Qualifying Limits

Use inequalities to check the results board and explain qualifying performances.

Read the Meet Rules

Model each situation with an inequality. A time below a limit must be strictly less than that limit.

The results board lists a relay qualifying time of less than 62 seconds. One runner finishes in 17 seconds. The other three runners each finish in x seconds. Which inequality describes the allowed value of x?

A. The requirement is x < 15.
B. The requirement is x < 45.
C. The requirement is x > 15.
D. The requirement is x ≤ 15.

West School has 8 team points. Each additional third-place finish earns 3 points. The team wants more than 28 points. Let x be the number of additional third-place finishes.

Solve 3x + 8 > 28. What is the least whole number of additional third-place finishes needed? finishes

Two runners have a combined relay time of 29 seconds. Each of the other two runners takes x seconds. The relay must finish in less than 58 seconds. Select every listed value of x that qualifies.

14 seconds14.5 seconds15 seconds14.4 seconds

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