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Equations with the unknown on both sides

8th grade (Year 9 in England) · 16 questions · Common Core: 8.EE.C.7 · England: KS3 Algebra, GCSE Foundation Algebra

Name

Date

Score/ 16

  1. Question 1

    Solve: 3(x + 2) = 2(x + 5)

    x =

  2. Question 2

    Solve: 5x + 15 = 7x − 1

    x =

  3. Question 3

    How many solutions does 6x + 3 = 6x + 4 have?

    • A. No solution
    • B. Infinitely many solutions
    • C. Exactly one solution

  4. Question 4

    Solve: 2(x + 2) = 5(x − 3) + 10

    x =

  5. Question 5

    Solve: 6x + 1 = 8x − 11

    x =

  6. Question 6

    How many solutions does 4x + 2 = 4x + 2 have?

    • A. No solution
    • B. Infinitely many solutions
    • C. Exactly one solution

  7. Question 7

    Solve: 4(x − 5) = 1(x − 3) + 1

    x =

  8. Question 8

    Solve: 2x − 6 = 7x − 46

    x =

  9. Question 9

    How many solutions does 6x + 2 = 7x + 2 have?

    • A. No solution
    • B. Infinitely many solutions
    • C. Exactly one solution

  10. Question 10

    Solve: 4(x + 7) = 3(x + 6) + 5

    x =

  11. Question 11

    Solve: 3x − 13 = x − 29

    x =

  12. Question 12

    How many solutions does 5x + 8 = 5x + 8 have?

    • A. No solution
    • B. Infinitely many solutions
    • C. Exactly one solution

  13. Question 13

    Solve: 5(x − 4) = 1(x + 5) + 15

    x =

  14. Question 14

    Solve: 2x − 2 = x + 9

    x =

  15. Question 15

    How many solutions does 4x + 8 = 6x + 8 have?

    • A. No solution
    • B. Infinitely many solutions
    • C. Exactly one solution

  16. Question 16

    Solve: 6(x) = 3(x − 6) + 12

    x =

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Answer key: Equations with the unknown on both sides

  1. 1. x = 4

  2. 2. x = 8

  3. 3. A. No solution

  4. 4. x = 3

  5. 5. x = 6

  6. 6. B. Infinitely many solutions

  7. 7. x = 6

  8. 8. x = 8

  9. 9. C. Exactly one solution

  10. 10. x = -5

  11. 11. x = -8

  12. 12. B. Infinitely many solutions

  13. 13. x = 10

  14. 14. x = 11

  15. 15. C. Exactly one solution

  16. 16. x = -2