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Grade 8 Systems of Equations Worksheet with Answers

Grade 8 (US) · Year 9 (UK) · Class 8 (India) · Math

Unit 2: Linear EquationsSystems of EquationsCCSS 8.EE.C.8

Solving pairs of linear equations by substitution or elimination. This free middle school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Systems of Equations

Grade 8 · Math

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Learning goal: Systems of Equations · CCSS 8.EE.C.8

Directions: Solve each problem. Show your work, then write your answer in the box.

Example

Solve the system: 5x + 3y = -49 and 2x + 3y = -34

Answer: x = -5, y = -8

RememberSystems of equations

(3, 3)The solution is where the lines cross.Substitution: solve one equation for avariable, put it into the other.Elimination: add/subtract equationsso one variable cancels.
  1. 1

    Solve the system: 4x + 3y = -31 and x + 3y = -19

    Answer
  2. 2

    Solve the system: 4x + 3y = -2 and 4x + 5y = -14

    Answer
  3. 3

    Solve the system: 3x + 2y = -10 and x + 3y = -1

    Answer
  4. 4

    Solve the system: x + 2y = -11 and 2x + y = -13

    Answer
  5. 5

    Solve the system: 3x + y = -14 and 3x + 4y = -11

    Answer
  6. 6

    Solve the system: 5x + 2y = 23 and 5x + 2y = 23

    Answer
  7. 7

    Solve the system: 5x + 3y = 50 and 4x + 5y = 53

    Answer
  8. 8

    Solve the system: 3x + y = -10 and 2x + 4y = 0

    Answer
  9. 9

    Solve the system: 4x + 4y = -4 and x + y = -1

    Answer
  10. 10

    Solve the system: 3x + y = -28 and x + 2y = -21

    Answer
  11. 11

    Solve the system: 4x + 2y = 30 and x + 3y = 20

    Answer
  12. 12

    Solve the system: 5x + 4y = 22 and 3x + y = 9

    Answer

★ Challenge corner for fast finishers

How many factors does 72 have?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/8/systems

Answer key (click to show)
  1. 1.x = -4, y = -5
  2. 2.x = 4, y = -6
  3. 3.x = -4, y = 1
  4. 4.x = -5, y = -3
  5. 5.x = -5, y = 1
  6. 6.x = 5, y = -1
  7. 7.x = 7, y = 5
  8. 8.x = -4, y = 2
  9. 9.x = 6, y = -7
  10. 10.x = -7, y = -7
  11. 11.x = 5, y = 5
  12. 12.x = 2, y = 3
  13. ★12 (challenge corner)

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Guides for teaching Systems of Equations

What Are the Common Core and NGSS Standards? A Parent's GuideWhat learning standards are, how to read a code like 3.NF.A.1 or MS-PS1-2, what each grade covers in Math, English and Science, and how to use them at home.

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