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Algebra 2 · Chapter 10 · Lesson 10.4 · Printable PDF

Solving Systems by Elimination Worksheet with Answer Key

8 problems on solving systems by elimination: adding or subtracting equations, a linear pair of angles, correcting students' mistakes, multiplying equations first, equations with fractions, and deciding between one, no or infinitely many solutions. 2 pages, with a worked answer key.

8 problems2 pagesanswer key
Printable Solving systems by elimination worksheet with answer key - Algebra 2 (Page 1 PDF preview)
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Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

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What's on the worksheet

  1. Add or subtract the equations to remove one letter and find the other.
    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. Word problem: two angles forming a linear pair that differ by 38 degrees.
  3. Find Sofia's mistake when subtracting the equations.
  4. Check Ryan's claim that every pair with a given x solves the system.
  5. Find where two lines cross using elimination.
  6. Solve by eliminating x first and say what each equation is multiplied by.
  7. Solve a system whose equations have fractions.
  8. Use elimination to decide how many solutions each system has.

Teach it first

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

Solving systems by elimination: the lesson ›

More Chapter 10 worksheets: Systems in three variables and systems of inequalities