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Recognise equivalent expressions

6th grade (Year 7 in England) · 16 questions · Common Core: 6.EE.A.3, 6.EE.A.4 · England: KS3 Algebra

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  1. Question 1

    Are 5(x + 6) and 5x + 6 equivalent? (Hint: test x = 4.)

    • A. Yes
    • B. No
  2. Question 2

    Which expression is equivalent to 7y + 6 + y?

    • A. 9y + 6
    • B. 14y
    • C. 8y + 6
    • D. 8y² + 6
  3. Question 3

    Which expression is equivalent to 9(x + 9)?

    • A. 9x + 81
    • B. x + 81
    • C. 9x + 18
    • D. 9x + 9
  4. Question 4

    Are 4(x + 3) and 4x + 3 equivalent? (Hint: test x = 2.)

    • A. Yes
    • B. No
  5. Question 5

    Which expression is equivalent to 2y + 1 + 5y?

    • A. 8y
    • B. 7y + 1
    • C. 8y + 1
    • D. 10y + 1
  6. Question 6

    Which expression is equivalent to 2(x + 8)?

    • A. x + 16
    • B. 2x + 10
    • C. 2x + 16
    • D. 2x + 8
  7. Question 7

    Are 2(x + 6) and 2x + 12 equivalent? (Hint: test x = 4.)

    • A. Yes
    • B. No
  8. Question 8

    Which expression is equivalent to 3y + 2 + 7y?

    • A. 10y + 2
    • B. 11y + 2
    • C. 10y² + 2
    • D. 12y
  9. Question 9

    Which expression is equivalent to 6(x + 8)?

    • A. x + 48
    • B. 6x + 14
    • C. 6x + 48
    • D. 14x
  10. Question 10

    Are 6(x + 5) and 6x + 30 equivalent? (Hint: test x = 3.)

    • A. Yes
    • B. No
  11. Question 11

    Which expression is equivalent to 3y + 3 + 4y?

    • A. 10y
    • B. 12y + 3
    • C. 7y² + 3
    • D. 7y + 3
  12. Question 12

    Which expression is equivalent to 9(x + 9)?

    • A. x + 81
    • B. 9x + 81
    • C. 18x
    • D. 9x + 9
  13. Question 13

    Are 5(x + 5) and 5x + 5 equivalent? (Hint: test x = 5.)

    • A. Yes
    • B. No
  14. Question 14

    Which expression is equivalent to 6y + 3 + 2y?

    • A. 11y
    • B. 12y + 3
    • C. 8y² + 3
    • D. 8y + 3
  15. Question 15

    Which expression is equivalent to 6(x + 6)?

    • A. 6x + 6
    • B. 6x + 36
    • C. x + 36
    • D. 12x
  16. Question 16

    Are 3(x + 9) and 3x + 27 equivalent? (Hint: test x = 4.)

    • A. Yes
    • B. No

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Answer key: Recognise equivalent expressions

  1. 1. B. No

  2. 2. C. 8y + 6

  3. 3. A. 9x + 81

  4. 4. B. No

  5. 5. B. 7y + 1

  6. 6. C. 2x + 16

  7. 7. A. Yes

  8. 8. A. 10y + 2

  9. 9. C. 6x + 48

  10. 10. A. Yes

  11. 11. D. 7y + 3

  12. 12. B. 9x + 81

  13. 13. B. No

  14. 14. D. 8y + 3

  15. 15. B. 6x + 36

  16. 16. A. Yes