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School Store: Online Order Audit worksheet preview

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School Store: Online Order Audit

Solve school-store systems by inspection and algebra, estimate intersections on graphs, and evaluate a shortcut for checking online orders.

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, Circle the answer, 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 apply systems to online orders and explain why combining equations can lose information.

How to use

Use after teaching substitution and elimination. Have students show algebra on separate paper, use a straightedge for graphing, and discuss the final record-checking shortcut.

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

School Store: Online Order Audit

Use systems to check orders, prices, and store records.

Check the Records

Use inspection when possible. A solution must satisfy both equations.

1.
A test order has x pencil cases and y notebooks. Find the values by inspection.
y = 9
2x + y = 9

x =  ; y =  

2.
Two online-order records give these equations. Treat x and y as real numbers. Which conclusion follows by inspection?
4x + 6y = 28
2x + 3y = 15
  • A. There are no real-number solutions.
  • B. There are infinitely many real-number solutions.
  • C. There is exactly one solution with y = 0.
  • D. There is exactly one solution with x = 0.
3.
The store tests pairs of equations in its order software. Select every system with infinitely many real-number solutions.

y = 3x + 8; 2y = 6x + 16x + y = 13; x − y = 35x − 2y = 7; 10x − 4y = 166x + 9y = 21; 2x + 3y = 7

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