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Algebra 1 · Chapter 2 · Lesson 2.11 · Printable PDF

Solving Systems by Substitution Worksheet with Answer Key

6 problems on solving systems by substitution: one variable already alone, freeing a variable without dividing, predicting the number of solutions from slopes, a triangle problem, a candle problem, and a student's slip. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Solving systems by substitution worksheet with answer key - Algebra 1 (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 for a variable you can free without dividing, then substitute.
    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. Isosceles triangle: use the base and perimeter facts to find the side lengths.
  4. Predict from slopes how many solutions each system has, then solve by substitution.
  5. Check Maya's substitution work and find where it goes wrong.
  6. Candle problem: use heights over time to find when candles match.

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Solving systems by substitution: the lesson ›

More Chapter 2 worksheets: Linear equations, inequalities and systems