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Music Festival: Straight-Line Tests worksheet preview

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Music Festival: Straight-Line Tests

Identify linear and nonlinear functions using music festival ticket rules, stage schedules, tables, and graphs.

Grade 8MathInteractive · Printable

Aligned to8.F.A.3

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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 8
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Sorting, Short answer

About this worksheet

What students practice

  • Students recognize y = mx + b as a linear function with a straight-line graph.
  • Students classify festival models as linear or nonlinear using equations, tables, and graphs.
  • Students explain why a function with a changing rate is not linear.

How to use

Use after introducing linear functions. Have students mark changes in tables and justify classifications before discussing the final reasoning task.

Curriculum

Common Core standard covered

8.F.A.3

Read y = mx + b as a linear function whose graph is a straight line, and give examples of functions that are not linear.

Preview

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Music Festival: Straight-Line Tests

Decide which ticket and stage models are linear functions.

Ticket Rules

Classify each model using its rule, not just its appearance. A linear function can be written as y = mx + b, where m and b are constants.

1.
A festival ticket order costs y dollars for x tickets. The rule is y = 18x + 6. Which statement describes this function?
  • A. It is linear because every function has a line graph.
  • B. It is nonlinear because the order has a fixed fee.
  • C. It is nonlinear because both x and y can change.
  • D. It is linear because it has the form y = mx + b.
2.
A ticket refund model is y = 240 − 16x, where x is the number of refunded tickets and y is the money remaining. Rewrite it mentally in the form y = mx + b.

m =   and b =  

3.
A ticket platform charges y = 9 dollars per order, regardless of the number of tickets. What kind of graph represents this fee function?
  • A. A vertical straight line at x = 9.
  • B. A straight line through (0, 0) and (1, 9).
  • C. A horizontal straight line at y = 9.
  • D. A curved graph that rises as x increases.

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