Write and graph x > c, x < c

Grade 6 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

  1. Ren has walked 2.5 km on a hike. 9 km is less than the total Ren wants to walk, with x km still to go. What inequality gets x by itself?

  2. Tala's backpack already holds 1.5 kg of books. The whole pack must weigh under 6 kg. Tala can add x kg of other things. What inequality gets x by itself?

  3. Zee has run 3.25 km this week and wants to run at least 11 km in all. Zee still has to run x km. What inequality gets x by itself?

  4. Ari's bucket holds a maximum of 5 liters and already has 1.75 liters of water. Ari can add x more liters. What inequality gets x by itself?

  5. Bo has practiced the guitar for 12.5 minutes. 30 minutes is the least Bo wants to practice in all, so x minutes are still to go. What inequality gets x by itself?

  6. Jun needs a piece of yarn longer than 2.5 meters. Let x be its length in meters. Which number line shows the possible values of x?

    • a closed circle at 2.5, shaded to the right
    • an open circle at 2.5, shaded to the right
    • an open circle at 2.5, shaded to the left
  7. Pia reads a number line. Which inequality in x does the number line with a circle at 8.5 show?

    • x < 8.5
    • x > 8.5
    • x ≤ 8.5
  8. Ren reads a number line. Which inequality in x does the number line with a circle at 5.5 show?

    • x < 5.5
    • x ≥ 5.5
    • x ≤ 5.5
  9. Ari's package may weigh at most 6.5 pounds, so x ≤ 6.5, where x is the number of pounds. Which statement is true?

    • Only whole numbers work: 6, 5, 4 and so on, because decimal weights do not count
    • Only one number works: 6.5.
    • Many numbers work, such as 6 and 3.5. There are infinitely many solutions.
  10. Bo's hike must be at least 0.75 miles long, so x ≥ 0.75, where x is the number of miles. Which statement is true?

    • Many numbers work, such as 1.25 and 3. There are infinitely many solutions.
    • Only one number works: 0.75.
    • Only whole numbers work: 1, 2, 3 and so on.
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Write and graph x > c, x < c

Answer Key - Grade 6 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

  1. Ren has walked 2.5 km on a hike. 9 km is less than the total Ren wants to walk, with x km still to go. What inequality gets x by itself?

    x > 6.5
  2. Tala's backpack already holds 1.5 kg of books. The whole pack must weigh under 6 kg. Tala can add x kg of other things. What inequality gets x by itself?

    x < 4.5
  3. Zee has run 3.25 km this week and wants to run at least 11 km in all. Zee still has to run x km. What inequality gets x by itself?

    x ≥ 7.75
  4. Ari's bucket holds a maximum of 5 liters and already has 1.75 liters of water. Ari can add x more liters. What inequality gets x by itself?

    x ≤ 3.25
  5. Bo has practiced the guitar for 12.5 minutes. 30 minutes is the least Bo wants to practice in all, so x minutes are still to go. What inequality gets x by itself?

    x ≥ 17.5
  6. Jun needs a piece of yarn longer than 2.5 meters. Let x be its length in meters. Which number line shows the possible values of x?

    • a closed circle at 2.5, shaded to the right
    • an open circle at 2.5, shaded to the right
    • an open circle at 2.5, shaded to the left
  7. Pia reads a number line. Which inequality in x does the number line with a circle at 8.5 show?

    • x < 8.5
    • x > 8.5
    • x ≤ 8.5
  8. Ren reads a number line. Which inequality in x does the number line with a circle at 5.5 show?

    • x < 5.5
    • x ≥ 5.5
    • x ≤ 5.5
  9. Ari's package may weigh at most 6.5 pounds, so x ≤ 6.5, where x is the number of pounds. Which statement is true?

    • Only whole numbers work: 6, 5, 4 and so on, because decimal weights do not count
    • Only one number works: 6.5.
    • Many numbers work, such as 6 and 3.5. There are infinitely many solutions.
  10. Bo's hike must be at least 0.75 miles long, so x ≥ 0.75, where x is the number of miles. Which statement is true?

    • Many numbers work, such as 1.25 and 3. There are infinitely many solutions.
    • Only one number works: 0.75.
    • Only whole numbers work: 1, 2, 3 and so on.