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Music Festival: Tickets and Stage Limits worksheet preview

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Music Festival: Tickets and Stage Limits

Solve ticket-sales and stage-schedule inequalities, graph solution sets, and interpret strict limits in a music festival context.

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 that model ticket sales and stage schedules.
  • Students graph inequality solutions and interpret endpoints and whole-number limits in context.

How to use

Have students show algebra on separate paper and label graph endpoints carefully. Discuss why ticket counts require whole numbers while performance lengths can include fractions.

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

Music Festival: Tickets and Stage Limits

Model festival decisions with inequalities and graph their solutions.

Ticket Desk

Write or solve each inequality. Ticket counts must be nonnegative whole numbers.

1.
The festival has collected $345 in advance sales. Each additional ticket brings in $15. Let x be the number of additional tickets. Which inequality models collecting more than $900 in total?
  • A. 15x + 345 ≥ 900
  • B. 15x + 345 > 900
  • C. 15x + 345 < 900
  • D. 345x + 15 > 900
2.
A ticket package costs $18 per person plus one $24 group booking fee. Sam's group wants to spend less than $170.

What is the greatest number of people the group can include?   people

3.
A ticket desk has already collected $128. It earns $16 for each additional ticket sold. Select every additional ticket count that makes total collections greater than $400 but less than $480.

17 tickets18 tickets20 tickets21 tickets22 tickets

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