Write and graph x > c, x < c
Grade 6 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
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?
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?
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?
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?
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?
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
Pia reads a number line. Which inequality in x does the number line with a circle at 8.5 show?
A number line runs from 0 to 10 with a tick every 0.5. It has an open circle at 8.5, shaded to the left. A number line runs from 0 to 10 with a tick every 0.5. It has an open circle at 8.5, shaded to the left. 0 1 2 3 4 5 6 7 8 9 10 - x < 8.5
- x > 8.5
- x ≤ 8.5
Ren reads a number line. Which inequality in x does the number line with a circle at 5.5 show?
A number line runs from 0 to 10 with a tick every 0.5. It has a closed circle at 5.5, shaded to the left. A number line runs from 0 to 10 with a tick every 0.5. It has a closed circle at 5.5, shaded to the left. 0 1 2 3 4 5 6 7 8 9 10 - x < 5.5
- x ≥ 5.5
- x ≤ 5.5
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?
Each number line runs from 0 to 10 with a tick every 0.5. Each number line runs from 0 to 10 with a tick every 0.5. 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10 - 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.
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?
Each number line runs from 0 to 5 with a tick every 0.25. Each number line runs from 0 to 5 with a tick every 0.25. 0 1/4 1/2 3/4 1 1 1/4 1 1/2 1 3/4 2 2 1/4 2 1/2 2 3/4 3 3 1/4 3 1/2 3 3/4 4 4 1/4 4 1/2 4 3/4 5 - 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.