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Robotics Club: Build and Test worksheet preview

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Robotics Club: Build and Test

Solve robotics-themed linear systems by inspection and algebra, estimate graph intersections, and evaluate a design's feasibility.

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 robot-building and testing situations.

How to use

Provide a straightedge and scratch paper. Have students show algebraic steps, then use the graph tasks to compare estimated and exact solutions.

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

Robotics Club: Build and Test

Use systems to check robot designs, measurements, and test paths.

Quick Design Checks

Use inspection. Treat x and y as real numbers, including negative values.

1.
Two signed motor adjustments must satisfy both rules.
x = −y
x = y + 6

x =  ; y =  

2.
Two robot alignment rules are x − 3y = 7 and 2x − 6y = 14. What can you tell by inspection?
  • A. The system has infinitely many solutions.
  • B. The system has exactly one solution, (0, 7).
  • C. The system has exactly one solution, (7, 0).
  • D. The system has no solution.
3.
Two calibration requirements are y = 4x + 3 and y = 4x − 2. Which statement describes the system?
  • A. The system has exactly one solution, (0, 3).
  • B. The system has infinitely many solutions.
  • C. The system has exactly one solution, (0, −2).
  • D. The system has no solution.

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