Write and graph x > c, x < c

Answer Key - Grade 6 Math Worksheet - Building Confidence

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

1. 1.

   Esme reads the swing sign: 8 years is the youngest allowed. The bar for the age, x, is as long as the bar for 8 or longer. What inequality for x do the bars show?

   x ≥ 8
2. 2.

   Jun packs a library bag that holds at most 7 books. The bar for the books, x, is as long as the bar for 7 or shorter. What inequality for x do the bars show?

   x ≤ 7
3. 3.

   To win a prize, Kira must read over 14 pages today. The bar for the pages read, x, is longer than the bar for 14. What inequality for x do the bars show?

   x > 14
4. 4.

   Luz has x cookies left, and 16 is more than that. The bar for x is shorter than the bar for 16. What inequality for x do the bars show?

   x < 16
5. 5.

   Milo's class trip needs no fewer than 13 helpers. The bar for the number of helpers, x, is as long as the bar for 13 or longer. What inequality for x do the bars show?

   x ≥ 13
6. 6.

   Noah loads a van that can carry at most 17 boxes. The bar for the boxes, x, is as long as the bar for 17 or shorter. What inequality for x do the bars show?

   x ≤ 17
8. 7.

   Zee checks a clue: which number line shows x ≥ 12? An open circle means the number is not a solution. A closed circle means it is.

   • an open circle at 12, shaded to the right
   • a closed circle at 12, shaded to the right
   • a closed circle at 12, shaded to the left
9. 8.

   Ari needs a piece of yarn longer than 5 meters, so x > 5. Test these numbers in x > 5: 5.5, 6 and 20. They all work. Which statement is true?

   Use the picture in question 7.

   • Many numbers work, such as 5.5 and 6. There are infinitely many solutions.
   • Only one number works: 6.
   • Only whole numbers work: 6, 7, 8 and so on, because fractions and decimals are not allowed
10. 9.

    Bo needs a ladder shorter than 18 feet, so x < 18. Test these numbers in x < 18: 17.5, 12 and 3. They all work. Which statement is true?

    Use the picture in question 7.

    • Only one number works: 12.
    • Many numbers work, such as 17.5 and 12. There are infinitely many solutions.
    • Only whole numbers work: 17, 16, 15 and so on, because decimals cannot be solutions
11. 10.

    Esme's recipe needs at least 4 cups of oats, so x ≥ 4. Test these numbers in x ≥ 4: 4, 4.5 and 9. They all work. Which statement is true?

    Use the picture in question 7.

    • Only whole numbers work: 4, 5, 6 and so on.
    • Many numbers work, such as 4.5 and 9. There are infinitely many solutions.
    • Only one number works: 4.