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Fitness Tracker: Session Thresholds

Solve fitness-tracker word problems using inequalities, graph solution sets, and interpret step counts and simplified heart-rate models.

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 two-step inequalities for step counts and simplified heart-rate models.
Students graph inequality solutions and interpret boundaries and whole-number answers in context.

How to use

Use after teaching two-step inequalities. Have students show algebra on separate paper and distinguish a strict boundary from an included endpoint. Heart-rate models are fictional math examples, not exercise advice.

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

Fitness Tracker: Session Thresholds

Model limits, graph solutions, and interpret tracker predictions.

Model the Session

Write or solve each inequality. Time is nonnegative and may include fractions of a minute unless a question asks for whole minutes. Heart-rate models are simplified predictions for short intervals, not health advice.

Amira's tracker shows 1,350 steps. She adds 85 steps per minute during a walk. Let x be the number of additional minutes. Which inequality represents finishing with more than 2,200 steps?

A. 85x + 1,350 > 2,200
B. 85x > 2,200
C. 85x + 1,350 < 2,200
D. 1,350x + 85 > 2,200

Diego has logged 2,480 steps. He walks at 120 steps per minute and wants more than 3,200 steps. He checks his tracker only after each whole minute.

What is the least number of additional whole minutes he needs? minutes

During a short recovery interval, a tracker predicts a heart rate of 144 − 6x beats per minute, where x is minutes after the interval begins. Select every listed time when the predicted heart rate is below 120 beats per minute.

3 minutes4 minutes4.5 minutes5 minutes6 minutes

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