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One-Step Inequalities Worksheet

Practice solving and graphing one-step inequalities with this worksheet for 7th graders.

Grade 7 Math AlgebraInequalitiesSolving InequalitiesOne-step Inequalities
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.7.EE.B.4.B

Topics

mathalgebrainequalitiesgrade 7
7 sections · Free to use · Printable
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One-Step Inequalities Practice

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Solve each one-step inequality and then graph the solution on the number line provided.

1. Solve for x: x + 5 > 12

579111315

2. Solve for y: y - 8 ≤ 4

81012141618

3. Solve for z: 3z < 18

0246810

4. Solve for w: w / 2 ≥ 7

101214161820

Choose the correct inequality sign (>, <, ≥, ≤) for each statement.

5. Six plus a number is greater than ten. 6 + x   10

6. A number minus three is less than or equal to five. y - 3   5

7. Twice a number is at least fourteen. 2z   14

8. Which graph represents the solution to x + 3 < 7?

a
024
b
024
c
024
d
024

9. What is the solution to -4x ≥ 20?

a

x ≥ -5

b

x ≤ -5

c

x ≥ 5

d

x ≤ 5

10. When multiplying or dividing an inequality by a negative number, you must flip the inequality sign.

T

True

F

False

11. The solution to x - 10 > -2 is x > 8.

T

True

F

False

12. Sarah has $25. She wants to buy a book that costs $12 and some pens. Each pen costs $2. Write and solve an inequality to find the maximum number of pens Sarah can buy.