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Match inequalities and number-line graphs

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

Name

Date

Score/ 16

  1. Question 1

    How many of these numbers are solutions of x β‰₯ 4? 1, 3, 4, 5, 7

    Answer

  2. Question 2

    Which graph shows x β‰₯ βˆ’5?

    • A. Open circle at βˆ’5, arrow right
    • B. Closed circle at βˆ’5, arrow left
    • C. Open circle at βˆ’5, arrow left
    • D. Closed circle at βˆ’5, arrow right
  3. Question 3

    The graph has a filled (closed) circle at βˆ’5 and an arrow pointing right. Write the inequality for x.

    β†’βˆ’10βˆ’8βˆ’6βˆ’4βˆ’20246810●

    Answer

  4. Question 4

    How many of these numbers are solutions of x β‰₯ 0? βˆ’3, βˆ’1, 0, 1, 3

    Answer

  5. Question 5

    Which graph shows x > βˆ’5?

    • A. Closed circle at βˆ’5, arrow right
    • B. Closed circle at βˆ’5, arrow left
    • C. Open circle at βˆ’5, arrow right
    • D. Open circle at βˆ’5, arrow left
  6. Question 6

    The graph has an open circle at βˆ’4 and an arrow pointing right. Write the inequality for x.

    β†’βˆ’10βˆ’8βˆ’6βˆ’20246810β—‹

    Answer

  7. Question 7

    How many of these numbers are solutions of x β‰₯ 4? 1, 3, 4, 5, 7

    Answer

  8. Question 8

    Which graph shows x < 7?

    • A. Open circle at 7, arrow right
    • B. Closed circle at 7, arrow left
    • C. Closed circle at 7, arrow right
    • D. Open circle at 7, arrow left
  9. Question 9

    The graph has a filled (closed) circle at 6 and an arrow pointing left. Write the inequality for x.

    β†βˆ’10βˆ’8βˆ’6βˆ’4βˆ’2024810●

    Answer

  10. Question 10

    How many of these numbers are solutions of x < βˆ’4? βˆ’7, βˆ’5, βˆ’4, βˆ’3, βˆ’1

    Answer

  11. Question 11

    Which graph shows x > βˆ’4?

    • A. Open circle at βˆ’4, arrow left
    • B. Closed circle at βˆ’4, arrow left
    • C. Open circle at βˆ’4, arrow right
    • D. Closed circle at βˆ’4, arrow right
  12. Question 12

    The graph has an open circle at 3 and an arrow pointing right. Write the inequality for x.

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

    Answer

  13. Question 13

    How many of these numbers are solutions of x β‰₯ 1? βˆ’2, 0, 1, 2, 4

    Answer

  14. Question 14

    Which graph shows x β‰₯ 0?

    • A. Closed circle at 0, arrow right
    • B. Open circle at 0, arrow left
    • C. Open circle at 0, arrow right
    • D. Closed circle at 0, arrow left
  15. Question 15

    The graph has a filled (closed) circle at 0 and an arrow pointing right. Write the inequality for x.

    β†’βˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810●

    Answer

  16. Question 16

    How many of these numbers are solutions of x < 3? 0, 2, 3, 4, 6

    Answer

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Answer key: Match inequalities and number-line graphs

  1. 1. 3

  2. 2. D. Closed circle at βˆ’5, arrow right

  3. 3. x β‰₯ βˆ’5

  4. 4. 3

  5. 5. C. Open circle at βˆ’5, arrow right

  6. 6. x > βˆ’4

  7. 7. 3

  8. 8. D. Open circle at 7, arrow left

  9. 9. x ≀ 6

  10. 10. 2

  11. 11. C. Open circle at βˆ’4, arrow right

  12. 12. x > 3

  13. 13. 3

  14. 14. A. Closed circle at 0, arrow right

  15. 15. x β‰₯ 0

  16. 16. 2