One-Step Inequalities Worksheet

Practice solving and graphing one-step inequalities with this Grade 8 math worksheet.

Grade 8 Math AlgebraInequalitiesSolving InequalitiesOne-step Inequalities

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Includes

2 Short AnswerFill in the BlanksTrue / False

Standards

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

Topics

mathalgebrainequalitiesone-stepgrade 8

6 sections · Free to use · Printable

One-Step Inequalities

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Solve each one-step inequality and graph the solution on the number line. Remember to use an open circle for < or > and a closed circle for ≤ or ≥.

1. Solve for x: x + 5 < 12

2. Solve for y: y - 3 ≥ 8

3. Which inequality represents 'The product of a number and 4 is at most 20'?

4x < 20

4x > 20

4x ≤ 20

4x ≥ 20

4. The solution to the inequality -2x > 10 is .

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

True

False

6. The inequality x < 3 includes the number 3 in its solution set.

True

False

7. Sarah has $20 to spend at the store. She wants to buy a book that costs $12. How much more money can she spend?

Write an inequality to represent this situation and solve it.