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Common Core 8.EE.C.7.A worksheet

8th grade (Year 9 in England) · 16 questions · Common Core: 8.EE.C.7.A, HSA.REI.B.3 · England: KS3 Algebra, GCSE Foundation Algebra

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Date

Score/ 16

  1. Question 1

    For what value of k does 6x − 7 = kx − 4 have no solution?

    Answer

  2. Question 2

    4x + 4 = □x + 8. For which value of □ does the equation have NO solution?

    Answer

  3. Question 3

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

    • A. No solution
    • B. Infinitely many solutions
    • C. Exactly one solution
  4. Question 4

    How many solutions does 3(x − 6) + 1 = 3x − 15 have?

    • A. Exactly one solution
    • B. No solution
    • C. Infinitely many solutions
  5. Question 5

    Find the value of c that makes 2(4x + 1) = 8x + c true for every value of x.

    Answer

  6. Question 6

    For what value of k does −3x − 6 = kx − 10 have no solution?

    Answer

  7. Question 7

    9x + 1 = 9x + □. Which number in the box gives infinitely many solutions?

    Answer

  8. Question 8

    How many solutions does 3(x + 5) = 3x + 15 have?

    • A. No solution
    • B. Infinitely many solutions
    • C. Exactly one solution
  9. Question 9

    How many solutions does 6(x + 4) + 5 = 6x + 34 have?

    • A. Exactly one solution
    • B. No solution
    • C. Infinitely many solutions
  10. Question 10

    Find the value of c that makes 3(2x − 5) = 6x + c true for every value of x.

    Answer

  11. Question 11

    For what value of k does 3x − 9 = kx − 8 have no solution?

    Answer

  12. Question 12

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

    Answer

  13. Question 13

    How many solutions does 3(x + 6) = 3x + 18 have?

    • A. No solution
    • B. Infinitely many solutions
    • C. Exactly one solution
  14. Question 14

    How many solutions does 4(x − 2) − 4 = 5x − 7 have?

    • A. Exactly one solution
    • B. No solution
    • C. Infinitely many solutions
  15. Question 15

    Find the value of c that makes 4(2x + 7) = 8x + c true for every value of x.

    Answer

  16. Question 16

    For what value of k does −x − 2 = kx − 8 have no solution?

    Answer

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Answer key: Common Core 8.EE.C.7.A worksheet

  1. 1. 6

  2. 2. 4

  3. 3. A. No solution

  4. 4. B. No solution

  5. 5. 2

  6. 6. -3

  7. 7. 1

  8. 8. B. Infinitely many solutions

  9. 9. B. No solution

  10. 10. -15

  11. 11. 3

  12. 12. 4

  13. 13. B. Infinitely many solutions

  14. 14. A. Exactly one solution

  15. 15. 28

  16. 16. -1

8.EE.C.7a Worksheet: Equations with one solution, no solution or… | Eurekami