Grade 6 · Math

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

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

6 printable versionsChallenge Me10 questions · answer keyFree · no account

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Write and graph x > c, x < c

Grade 6 Math Worksheet - Challenge Me

NameDate

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?
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?
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
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
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
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
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
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
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.
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.

6th grade Write and graph x > c, x < c worksheet – printable — Print: 1 2 3 4 5 6

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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