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Two-Step Inequalities Worksheet

Practice solving and graphing two-step linear inequalities for 8th grade math.

Grade 8 Math AlgebraInequalitiesSolving InequalitiesTwo-step Inequalities
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Includes

Short AnswerFill in the BlanksMultiple ChoiceTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.8.EE.B.6CCSS.MATH.CONTENT.7.EE.B.4.B

Topics

mathalgebrainequalitiestwo-stepgrade 8
7 sections · Free to use · Printable
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Two-Step Inequalities

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Solve each inequality and graph the solution on the number line provided. Remember to flip the inequality sign when multiplying or dividing by a negative number.

1. Solve for x: 2x + 5 < 15

0246810-2-4

2. Solve for y: -3y + 2 ≥ 11

-5-3-1135

3. When you multiply or divide both sides of an inequality by a negative number, you must   the inequality sign.

4. The solution to the inequality x - 7 > 3 is x   10.

5. Which inequality represents 'four less than three times a number is at least seventeen'?

a

3x - 4 > 17

b

4 - 3x ≥ 17

c

3x - 4 ≥ 17

d

3x - 4 ≤ 17

6. The solution to 5x - 10 ≤ 15 is x ≤ 5.

T

True

F

False

7. Sarah wants to buy a new bicycle that costs $250. She has $40 saved and earns $15 per week babysitting. Write and solve an inequality to find out how many weeks (w) Sarah needs to babysit to afford the bicycle.