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8th Grade Math (Math 8) · Chapter 7 · Lesson 7.3 · Printable PDF

Solving Systems by Elimination Worksheet with Answer Key

8 problems on solving systems of equations by elimination: adding or subtracting, linear pair angles, finding a mistake, scaling an equation, fractions, and deciding if a system has one, none or many solutions. 2 pages, with a worked answer key.

8 problems2 pagesanswer key
Printable Solving systems by elimination worksheet with answer key - 8th Grade Math (Math 8) (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 a letter, then solve:
    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 in a linear pair, one 38 degrees larger than the other.
  3. Find Sofia's mistake when she subtracts the equations.
  4. Check Ryan's claim about every pair with x equal to 2.
  5. Find the point where two lines cross by elimination.
  6. Solve a system by eliminating x first, saying what each equation is multiplied by.
  7. Solve a system written with fractions.
  8. Decide if each system has one, no or infinitely many solutions, and give examples.

Teach it first

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

Solving systems by elimination: the lesson ›

More Chapter 7 worksheets: Systems of linear equations