Write and graph x > c, x < c

Answer Key - Grade 6 Math Worksheet

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

1. 1.

   Kira reads the sign at the big train ride: only riders over 48 inches tall may ride. Let x be a rider's height in inches. What inequality for x does the sign show?

   x > 48
2. 2.

   35 minutes is more than the time Luz has before dinner. Let x be the number of minutes Luz has. What inequality for x fits?

   x < 35
3. 3.

   Milo reads the sign at the bumper cars: 42 inches is the shortest height allowed. Let x be a child's height in inches. What inequality for x does the sign show?

   x ≥ 42
4. 4.

   Noah packs a backpack that may weigh a maximum of 22 pounds. Let x be the weight of the backpack in pounds. What inequality for x fits?

   x ≤ 22
6. 5.

   Zee checks a clue: which number line shows x < 70?

   • an open circle at 70, shaded to the left
   • an open circle at 70, shaded to the right
   • a closed circle at 70, shaded to the left
7. 6.

   Bo checks a clue: which number line shows x ≤ 80?

   Use the picture in question 5.

   • an open circle at 80, shaded to the left
   • a closed circle at 80, shaded to the right
   • a closed circle at 80, shaded to the left
8. 7.

   Esme reads a number line. Which inequality in x does the number line with a circle at 90 show?

   • x ≥ 90
   • x < 90
   • x ≤ 90
9. 8.

   Jun reads a number line. Which inequality in x does the number line with a circle at 20 show?

   • x ≥ 20
   • x < 20
   • x > 20
10. 9.

    Kira reads a number line. Which inequality in x does the number line with a circle at 40 show?

    • x ≤ 40
    • x > 40
    • x < 40
11. 10.

    Milo's bathtub holds more than 25 liters of water, so x > 25, where x is the number of liters. Which statement is true?

    • Only one number works: 26.
    • Many numbers work, such as 26.5 and 40. There are infinitely many solutions.
    • Only whole numbers work: 26, 27, 28 and so on, since fractions and decimals do not count