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Algebra 1 · Chapter 2 · Lesson 2.12 · Printable PDF

Solving Systems by Elimination Worksheet with Answer Key

8 problems on solving systems of equations by elimination: adding or subtracting equations, scaling first, angle and word problems, spotting mistakes, and systems with no solution or infinitely many. 2 pages, with a worked answer key.

8 problems2 pagesanswer key
Printable Solving systems by elimination worksheet with answer key - Algebra 1 (Page 1 PDF preview)
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What's on the worksheet

  1. Add or subtract equations to remove a letter, then find the value of the other letter.
    3x + y = 14, 2x - y = 6-4x + 3y = 5, 4x + 2y = 205x + 2y = 9, 5x - 4y = 272x + 7y = 1, 6x + 7y = 19-3x - 8y = 4, 3x + 2y = 8
  2. Set up and solve a system for two angles that form a linear pair.
  3. Find Sofia's mistake when she subtracts two equations.
  4. Respond to Ryan's claim that every pair with x equal to 2 solves the system.
  5. Find where two lines cross using elimination.
  6. Solve a system by eliminating x first, saying what each equation is multiplied by.
  7. Solve a system whose equations are fractions of sums and differences.
  8. Use elimination to decide if each system has one, none or infinitely many solutions.

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

Solving systems by elimination: the lesson ›

More Chapter 2 worksheets: Linear equations, inequalities and systems