Grade 7 · Math

7th grade One-step inequalities, including flipping the sign worksheet

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One-step inequalities, including flipping the sign

Grade 7 Math Worksheet - Building Confidence

NameDate

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

Ari draws two bars for x + 4 > 9, with a ruler and a very steady hand. What inequality gets x by itself?
Jun shades one part of x in the bars for x/2 ≥ 5. What inequality gets x by itself?
Pia finds this on a puzzle card: 7 + x < 15. What inequality gets x by itself?
The math club warm-up is x + 6 ≥ 11, and Bo wants to finish first. What inequality gets x by itself?
Zee's quiz starts with 4x ≤ 20. What inequality gets x by itself?
6.
Noah solves -2x ≥ 6 and draws the answer on a number line marked every 1. Which number line is right?
- a closed circle at -3, shaded to the right
- a closed circle at -3, shaded to the left
- a closed circle at -12, shaded to the left
- an open circle at -3, shaded to the left
7.
Luz solves x ÷ (-3) > 1 and draws the answer on a number line marked every 1. Which number line is right?
- a closed circle at -3, shaded to the left
- an open circle at -3, shaded to the right
- an open circle at 3, shaded to the left
- an open circle at -3, shaded to the left
8.
Tala tests four numbers in x + 3 > 8. Which number makes it true?
- 4
- 3
- 5
- 6
9.
Pia has four guesses for x − 2 < 5, and only one works. Which number makes it true?
- 7
- 6
- 8
- 9
10.
Bo picks four numbers for -4x < 8, and only one works. Which number makes it true?
- -2
- -4
- -3
- -1

7th grade One-step inequalities, including flipping the sign worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

One-step inequalities, including flipping the sign. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can solve one-step inequalities like x + 4 > 9, 3x < 12 and x/2 ≥ 5, and keep the same sign.
I can draw the answer on a number line: an open circle for < or >, a closed circle for ≤ or ≥, shaded toward the numbers that work.

Standard: 7.EE.B.4b (partial; x > c is 6.EE.B.8)

Words to know

inequality: A comparison with <, >, ≤ or ≥ instead of an equals sign.

solution: A number that makes the inequality true when you put it in for x.

flip the sign: Turn < into > (and ≤ into ≥), or the other way round.

open circle: A circle on the number line for a number that is not included.

closed circle: A filled circle on the number line for a number that is included.

opposite: The same distance from zero on the other side: 2 and -2.

Common mistakes

Your child multiplied or divided by a negative number but kept the inequality sign, or read an inequality with x on the right without turning the sign. Put one number from the answer back in the first inequality together and see whether it is true.

Your child flipped the sign when the number was positive.

Your child used the wrong operation to get x alone, for example added when the number had to come off.

What to say

Ask: did we multiply or divide by a negative? Only then does the sign flip.

Ask: what operation is in the problem, and what undoes it?

Questions parents ask

What is the most common mistake with one-step inequalities, including flipping the sign?

Are these 7th 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 7 math

See all grade 7 math

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