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Lift Lines and Snowfall: Read the Rewrites worksheet preview

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Lift Lines and Snowfall: Read the Rewrites

Interpret equivalent expressions for ski lift lines and snowfall records, including fixed differences, averages, and percent changes.

Grade 7MathInteractive · Printable

Aligned to7.EE.A.2

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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

About this worksheet

What students practice

  • Students interpret how equivalent forms reveal fixed amounts, group sizes, and differences.
  • Students use rewritten expressions to explain fractional and percent relationships.
  • Students distinguish which quantities a factor or percent change applies to.

How to use

Have students mark what each term represents before choosing an answer. Discuss how a useful rewrite reveals a relationship without substituting a value.

Curriculum

Common Core standard covered

7.EE.A.2

See how rewriting an expression in another form shows how quantities relate, such as a + 0.05a = 1.05a for a 5% raise.

Preview

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Name Date

Lift Lines and Snowfall: Read the Rewrites

Use equivalent expressions to uncover relationships at a ski resort.

Lift-Line Relationships

Each problem defines its own variable. Use the rewritten form to interpret the quantities, not just to calculate.

1.
Six groups join a lift line. Each group has n skiers and 4 snowboarders. Their combined size is 6(n + 4) = 6n + 24. What does 24 represent?
  • A. There are 24 snowboarders across all groups.
  • B. There are 24 people across all groups.
  • C. There are 24 skiers across all groups.
  • D. There are 24 people in each group.
2.
At the same moment, two lift lines have the counts below. The value of n is the same for both lines.
People Waiting
LiftPeople in line
Pine5n + 18
Summit5n + 7
Rewriting the difference as (5n + 18) − (5n + 7) shows that it does not depend on n.

How many more people are in the Pine line?   people

3.
A lift line has 4n + 12 people. Each chair holds 4 people, and every chair is filled. Which rewrite most directly shows the number of chairs needed?
  • A. 4(n + 3) shows n + 3 full chairs.
  • B. 2(2n + 6) shows n + 6 full chairs.
  • C. 4(n + 12) shows n + 12 full chairs.
  • D. 4n + 3 shows 4n + 3 full chairs.

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