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6th grade Write and graph x > c, x < c worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Write and graph x > c, x < c

Grade 6 Math Worksheet - Building Confidence

NameDate

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

  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?

  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?

  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?

  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?

  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?

  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?

  8. 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. 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. 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. 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.
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6th grade Write and graph x > c, x < c worksheet – printable
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About this worksheet

Writing and graphing inequalities. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can write an inequality like x > 12 or x ≤ 8 for a situation in words.
  • I can show it on a number line with the right circle (open or closed) and the right direction.

Standard: 6.EE.B.8

Words to know

inequality: A math sentence that compares two amounts with <, >, ≤ or ≥.

solution: Any number that makes the inequality true.

open circle: On a number line, a circle that leaves the number out.

closed circle: A filled-in circle that keeps the number in.

at least: That number or more. It uses ≥.

at most: That number or less. It uses ≤.

Common mistakes

Your child wrote the inequality sign pointing the wrong way, so it says the opposite of the story. Try asking "is x the bigger amount or the smaller one?" and draw two bars to check.

Your child wrote "at least" or "at most" with a plain > or <, which leaves out the number itself. Try asking "can x be exactly that number?" If it can, the sign needs a line under it (≥ or ≤).

Your child mixed up the open and closed circles on the number line. Try this rule together: an open circle leaves the number out, and a closed (filled-in) circle keeps it in.

Questions parents ask

What is the most common mistake with write and graph x > c, x < c?

Your child wrote the inequality sign pointing the wrong way, so it says the opposite of the story. Try asking "is x the bigger amount or the smaller one?" and draw two bars to check.

Are these 6th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 6 math

See all grade 6 math

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