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Ski Resort: Queue and Snow Limits worksheet preview

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Ski Resort: Queue and Snow Limits

Solve and graph inequalities using ski lift lines and snowfall records, with attention to strict limits and realistic solutions.

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 write and solve two-step inequalities from lift-line and snowfall situations.
  • Students graph inequality solutions and distinguish continuous values from whole-number counts.
  • Students interpret strict boundary values in context.

How to use

Have students show their algebra beside each problem. Discuss why time, measured snowfall, and counts may require different interpretations of the same boundary.

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

Ski Resort: Queue and Snow Limits

Model limits, graph solutions, and interpret boundary values.

Model the Resort Records

Write or choose an inequality that matches each limit. Treat “below” and “more than” as strict comparisons.

1.
A lift-line model uses the information below. Let x be the number of minutes after the record begins. Which inequality represents a line with fewer than 24 people?
Lift-Line Model
Starting lineNet decrease
66 people6 people per minute
  • A. 66 − 6x < 24
  • B. 66 − 6x > 24
  • C. 6x − 66 < 24
  • D. 6x + 66 < 24
2.
A snowfall record begins at 7.5 inches. Snow then accumulates at 1.5 inches per hour. Staff check the record after each whole hour. They post an update when the total is more than 16.5 inches.

What is the first whole-hour check when they post the update?   hours after the record begins

3.
A second snowfall record starts at 4 inches and increases by 2 inches per hour. Select every listed elapsed time x when the recorded total is more than 9 inches.

0 hours2 hours2.5 hours3 hours4 hours

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