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Common Core 6.EE.B.8 worksheet

6th grade (Year 7 in England) Β· 16 questions Β· Common Core: 6.EE.B.5, 6.EE.B.8 Β· England: KS3 Algebra, GCSE Foundation Algebra

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Date

Score/ 16

  1. Question 1

    How many of these numbers are solutions of x > 0? βˆ’3, βˆ’1, 0, 1, 3

    Answer

  2. Question 2

    Which value is a solution of x < 3?

    βˆ’3βˆ’115793
    • A. 3
    • B. 4
    • C. 7
    • D. 2
  3. Question 3

    The graph has an open circle at βˆ’1 and an arrow pointing right. Write the inequality for x.

    β†’βˆ’10βˆ’8βˆ’6βˆ’4βˆ’20246810β—‹

    Answer

  4. Question 4

    Which inequality matches: Fewer than 29 people can be in the lift (p = people).

    • A. p ≀ 29
    • B. p β‰₯ 29
    • C. p < 29
    • D. p > 29
  5. Question 5

    Write an inequality: You need more than 36 points to win a prize (n = points). (Type ≀ as <= and β‰₯ as >= if you need to.)

    Answer

  6. Question 6

    Write as an inequality: x is less than or equal to 5.

    Answer

  7. Question 7

    Which inequality matches? "You must be at least 12 years old to ride." (x is the amount)

    • A. x > 12
    • B. x < 12
    • C. x β‰₯ 12
    • D. x ≀ 12
  8. Question 8

    Which graph shows x ≀ βˆ’1?

    • A. Open circle at βˆ’1, arrow right
    • B. Closed circle at βˆ’1, arrow right
    • C. Closed circle at βˆ’1, arrow left
    • D. Open circle at βˆ’1, arrow left
  9. Question 9

    How many of these numbers are solutions of x < 5? 2, 4, 5, 6, 8

    Answer

  10. Question 10

    Which value is a solution of x < βˆ’5?

    βˆ’11βˆ’9βˆ’7βˆ’3βˆ’11βˆ’5
    • A. βˆ’8
    • B. βˆ’4
    • C. βˆ’5
    • D. βˆ’1
  11. Question 11

    The graph has a filled (closed) circle at 4 and an arrow pointing right. Write the inequality for x.

    β†’βˆ’10βˆ’8βˆ’6βˆ’4βˆ’2026810●

    Answer

  12. Question 12

    Which inequality matches: A carry-on bag can weigh at most 40 kg (w = mass).

    • A. w β‰₯ 40
    • B. w ≀ 40
    • C. w > 40
    • D. w < 40
  13. Question 13

    Write an inequality: Fewer than 38 people can be in the lift (p = people). (Type ≀ as <= and β‰₯ as >= if you need to.)

    Answer

  14. Question 14

    Write as an inequality: x is greater than or equal to βˆ’2.

    Answer

  15. Question 15

    Which inequality matches? "The lift holds at most 5 people." (x is the amount)

    • A. x > 5
    • B. x < 5
    • C. x β‰₯ 5
    • D. x ≀ 5
  16. Question 16

    Which graph shows x < βˆ’2?

    • A. Open circle at βˆ’2, arrow left
    • B. Closed circle at βˆ’2, arrow left
    • C. Open circle at βˆ’2, arrow right
    • D. Closed circle at βˆ’2, arrow right

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Answer key: Common Core 6.EE.B.8 worksheet

  1. 1. 2

  2. 2. D. 2

  3. 3. x > βˆ’1

  4. 4. C. p < 29

  5. 5. n > 36

  6. 6. x ≀ 5

  7. 7. C. x β‰₯ 12

  8. 8. C. Closed circle at βˆ’1, arrow left

  9. 9. 2

  10. 10. A. βˆ’8

  11. 11. x β‰₯ 4

  12. 12. B. w ≀ 40

  13. 13. p < 38

  14. 14. x β‰₯ βˆ’2

  15. 15. D. x ≀ 5

  16. 16. A. Open circle at βˆ’2, arrow left

6.EE.B.8 Worksheet: Inequalities: meaning and solutions | Eurekami