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8th Grade Math (Math 8) · Chapter 7 · Lesson 7.2 · Printable PDF

Solving Systems by Substitution Worksheet with Answer Key

6 problems on solving systems by substitution: isolated variables, freeing a variable, an isosceles triangle, predicting the number of solutions from slopes, finding Maya's mistake, and candle heights. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Solving systems by substitution worksheet with answer key - 8th Grade Math (Math 8) (Page 1 PDF preview)
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What's on the worksheet

  1. Solve each system by substitution when one equation gives a variable alone:
    y = x + 4 and 3x + y = 24y = 5 - 3x and 2x - y = 15y = -x - 2 and y = 3x + 10m = 3n and 2m - 5n = 4x = 4 and 3x - 2y = 2
  2. Solve each system by substitution after freeing a variable first.
    x + 4y = 10 and 3x - 2y = 22x - y = 1 and 5x - 3y = -13x + y = 4 and 4x + 3y = -3x - y = 1 and 3x + 2y = 4
  3. Word problem: the sides of an isosceles triangle with a given perimeter.
  4. Predict the number of solutions from the slopes, then solve by substitution.
  5. Find the mistake in Maya's substitution work.
  6. Word problem: when two candles lit at the same time are the same height.

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The free lesson teaches it with worked examples and practice problems.

Solving systems by substitution: the lesson ›

More Chapter 7 worksheets: Systems of linear equations