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Equations with one solution, no solution or infinitely many

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

Name

Date

Score/ 16

  1. Question 1

    4x − 6 = 4x + □. Which number in the box gives infinitely many solutions?

    Answer

  2. Question 2

    How many solutions does 6(x + 4) = 6x + 24 have?

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

  3. Question 3

    7x + 2 = □x + 5. For which value of □ does the equation have NO solution?

    Answer

  4. Question 4

    How many solutions does 2(x + 1) = 2x + 5 have?

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

  5. Question 5

    5x + 2 = 5x + □. Which number in the box gives infinitely many solutions?

    Answer

  6. Question 6

    How many solutions does 2(x + 6) = 2x + 12 have?

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

  7. Question 7

    5x − 6 = □x + 0. For which value of □ does the equation have NO solution?

    Answer

  8. Question 8

    How many solutions does 3(x + 6) = 3x + 19 have?

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

  9. Question 9

    8x = □x + 7. For which value of □ does the equation have NO solution?

    Answer

  10. Question 10

    How many solutions does 5(x + 2) = 5x + 13 have?

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

  11. Question 11

    8x − 3 = 8x + □. Which number in the box gives infinitely many solutions?

    Answer

  12. Question 12

    How many solutions does 5(x + 2) = 5x + 15 have?

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

  13. Question 13

    7x + 3 = □x + 12. For which value of □ does the equation have NO solution?

    Answer

  14. Question 14

    How many solutions does 5(x + 4) = 5x + 20 have?

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

  15. Question 15

    7x − 6 = 7x + □. Which number in the box gives infinitely many solutions?

    Answer

  16. Question 16

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

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

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  1. -6
  2. Infinitely many solutions
  3. 7
  4. No solution
  5. 2
  6. Infinitely many solutions
  7. 5
  8. No solution
  9. 8
  10. No solution
  11. -3
  12. No solution
  13. 7
  14. Infinitely many solutions
  15. -6
  16. Infinitely many solutions