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Music Festival: Test the Plans worksheet preview

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Music Festival: Test the Plans

Check music festival ticket sales and stage schedules by substituting whole numbers, decimals, and fractions into equations and inequalities.

Grade 6MathInteractive · Printable

Aligned to6.EE.B.5

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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 6
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Sorting, Short answer

About this worksheet

What students practice

  • Students substitute given values into equations and inequalities to determine whether they are true.
  • Students identify all values in a given set that satisfy an equation or inequality.
  • Students explain why a boundary value satisfies one festival scheduling rule but not another.

How to use

Have students write each substitution on separate paper before answering. Discuss how equality and strict inequality affect which festival plans work.

Curriculum

Common Core standard covered

6.EE.B.5

Understand solving an equation or inequality as finding values that make it true, and check values by substituting.

Preview

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Name Date

Music Festival: Test the Plans

Substitute values to check ticket sales and stage schedules.

Ticket Sales

Test the given values by substitution. Select every value that makes a rule true when asked.

1.
Festival staff have sold 86 advance tickets. They use x + 86 = 140 to check whether x tickets sold at the gate would bring the total to exactly 140. Test x = 54.

After substitution, the left side equals   tickets.

2.
Each festival ticket costs $9. The equation 9x = 117 represents selling exactly $117 in tickets. Which substitution shows a solution?
  • A. For x = 14, 9 × 14 = 126.
  • B. For x = 108, 9 × 108 = 972.
  • C. For x = 13, 9 × 13 = 117.
  • D. For x = 12, 9 × 12 = 108.
3.
A small performance area holds at most 160 people. There are already 124 people inside. Let x be the number of additional people entering, with no one leaving. Select all listed values that make 124 + x ≤ 160 true.

x = 24x = 37x = 36x = 0x = 46

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