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Find the error in a worked inequality

9th grade (Year 10 in England) Β· 16 questions Β· Common Core: HSA.REI.B.3, HSA.REI.A.1 Β· England: GCSE Higher Algebra

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  1. Question 1

    Zoe solved an inequality: 1) βˆ’5x βˆ’ 1 β‰₯ βˆ’26 2) βˆ’5x β‰₯ βˆ’27 3) x ≀ 27/5 Which line has the first mistake?

    • A. Line 2
    • B. Line 3
    • C. There is no mistake
  2. Question 2

    Does x = βˆ’5 satisfy βˆ’x + 1 < 4?

    • A. Yes
    • B. No
  3. Question 3

    Tariq solved an inequality: 1) βˆ’2x βˆ’ 7 ≀ 1 2) βˆ’2x ≀ βˆ’6 3) x β‰₯ 3 Which line has the first mistake?

    • A. Line 2
    • B. Line 3
    • C. There is no mistake
  4. Question 4

    Does x = 0 satisfy βˆ’3x βˆ’ 5 ≀ βˆ’2?

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

    Hana solved an inequality: 1) βˆ’2x + 3 ≀ βˆ’1 2) βˆ’2x ≀ βˆ’4 3) x ≀ 2 Which line has the first mistake?

    • A. Line 2
    • B. Line 3
    • C. There is no mistake
  6. Question 6

    Does x = 4 satisfy 2x + 4 ≀ 8?

    • A. Yes
    • B. No
  7. Question 7

    Yuki solved an inequality: 1) βˆ’6x + 9 ≀ 39 2) βˆ’6x ≀ 30 3) x β‰₯ βˆ’5 Which line has the first mistake?

    • A. Line 2
    • B. Line 3
    • C. There is no mistake
  8. Question 8

    Does x = βˆ’4 satisfy 3x + 7 β‰₯ βˆ’11?

    • A. Yes
    • B. No
  9. Question 9

    Ravi solved an inequality: 1) βˆ’5x βˆ’ 3 < 17 2) βˆ’5x < 14 3) x > βˆ’14/5 Which line has the first mistake?

    • A. Line 2
    • B. Line 3
    • C. There is no mistake
  10. Question 10

    Does x = 1 satisfy x + 9 > 11?

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

    Isla solved an inequality: 1) βˆ’6x βˆ’ 5 > 1 2) βˆ’6x > 6 3) x < βˆ’1 Which line has the first mistake?

    • A. Line 2
    • B. Line 3
    • C. There is no mistake
  12. Question 12

    Does x = βˆ’5 satisfy 5x + 8 β‰₯ βˆ’12?

    • A. Yes
    • B. No
  13. Question 13

    Sofia solved an inequality: 1) βˆ’2x βˆ’ 4 β‰₯ 0 2) βˆ’2x β‰₯ βˆ’4 3) x ≀ 2 Which line has the first mistake?

    • A. Line 2
    • B. Line 3
    • C. There is no mistake
  14. Question 14

    Does x = 3 satisfy βˆ’4x βˆ’ 6 < βˆ’26?

    • A. Yes
    • B. No
  15. Question 15

    Sam solved an inequality: 1) βˆ’4x + 6 < βˆ’10 2) βˆ’4x < βˆ’4 3) x > 1 Which line has the first mistake?

    • A. Line 2
    • B. Line 3
    • C. There is no mistake
  16. Question 16

    Does x = βˆ’6 satisfy βˆ’4x βˆ’ 3 ≀ 17?

    • A. Yes
    • B. No

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Answer key: Find the error in a worked inequality

  1. 1. A. Line 2

  2. 2. B. No

  3. 3. A. Line 2

  4. 4. A. Yes

  5. 5. B. Line 3

  6. 6. B. No

  7. 7. C. There is no mistake

  8. 8. A. Yes

  9. 9. A. Line 2

  10. 10. B. No

  11. 11. C. There is no mistake

  12. 12. B. No

  13. 13. A. Line 2

  14. 14. B. No

  15. 15. A. Line 2

  16. 16. B. No