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Theater Club: Sets and Seat Sales worksheet preview

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Theater Club: Sets and Seat Sales

Solve theater-themed systems by inspection and algebra, estimate intersections with graphs, and explain an elimination error.

Grade 8MathInteractive · Printable

Aligned to8.EE.C.8.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 8
Subject
Math
Question types
Fill in the blank, Multiple choice, Short answer, Drawing

About this worksheet

What students practice

  • Students solve systems of two linear equations by inspection, substitution, and elimination.
  • Students graph linear equations and estimate the coordinates of their intersection.
  • Students interpret system solutions in theater design and ticket-sale situations.

How to use

Use after teaching substitution and elimination. Provide a ruler for graphing and scratch paper for algebra. Discuss the final error analysis together.

Curriculum

Common Core standard covered

8.EE.C.8.b

Solve systems of two linear equations with algebra, estimate solutions by graphing, and solve simple cases by inspection.

Preview

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Name Date

Theater Club: Sets and Seat Sales

Use systems of equations to check designs, supplies, and ticket records.

Check by Inspection

Use the equations' structure to answer without a long calculation. An ordered pair is written (x, y).

1.
A scenery marker lies on both design lines: x = 0 and 4x + y = −3. Find its coordinates by inspection.

x =  ; y =  

2.
Two measurements of the same set frame give 2x + y = 8 and 2x + y = 11. Which statement describes this system?
  • A. It has exactly one solution, (0, 8).
  • B. It has infinitely many solutions because the left sides match.
  • C. It has no solution because the equal expressions have different totals.
  • D. It has exactly one solution, (0, 11).
3.
A designer writes y = 2x − 5 and 2y = 4x − 10 for two edges in a sketch. What can you tell by inspection?
  • A. The two lines are parallel and have no common points.
  • B. Every point on the second line has twice the first line's y-value.
  • C. The two lines meet only at the point (0, −5).
  • D. Every point on the first line also lies on the second line.

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