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. 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. 2.

   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
4. 3.

   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?

   • an open circle at 2.5, shaded to the right
   • an open circle at 2.5, shaded to the left
   • a closed circle at 2.5, shaded to the right
5. 4.

   Kira mails a parcel that must weigh less than 7.5 kilograms. Let x be its weight in kilograms. Which number line shows the possible values of x?

   Use the picture in question 3.

   • an open circle at 7.5, shaded to the left
   • a closed circle at 7.5, shaded to the left
   • an open circle at 7.5, shaded to the right
6. 5.

   Luz plans a hike at least 4.5 miles long. Let x be its length in miles. Which number line shows the possible values of x?

   Use the picture in question 3.

   • an open circle at 4.5, shaded to the right
   • a closed circle at 4.5, shaded to the left
   • a closed circle at 4.5, shaded to the right
7. 6.

   Noah reads a number line. Which inequality in x does the number line with a circle at 3.5 show?

   • x ≤ 3.5
   • x > 3.5
   • x ≥ 3.5
8. 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
9. 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
10. 9.

    Zee's cake pan must be wider than 8.5 inches, so x > 8.5, where x is the number of inches. Which statement is true?

    • Only whole numbers work: 9, 10, 11 and so on, because decimal lengths do not count
    • Only one number works: 9.
    • Many numbers work, such as 9.5 and 10. There are infinitely many solutions.
11. 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.