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Solving Inequalities - Grade 5 Math

This worksheet helps Grade 5 students practice solving simple inequalities and representing solutions on a number line.

Grade 5 Math AlgebraInequalitiesSolving Inequalities
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Includes

Fill in the Blanks2 Short AnswerCustomMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.6.EE.B.5CCSS.MATH.CONTENT.6.EE.B.8

Topics

mathalgebrainequalitiesgrade 5
8 sections · Free to use · Printable
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Solving Inequalities

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Read each question carefully and solve the inequalities. For questions requiring a number line, draw the solution clearly.

Fill in the blank with the correct inequality symbol (>, <, ≥, ≤).

1. 5 + 3   10

2. 12 - 4   7

3. 6 × 2   15

4. 20 ÷ 5   4

Solve each inequality for the variable.

5. x + 7 > 10

6. y - 3 < 5

7. 2z ≤ 14

8. m / 4 ≥ 3

Solve the inequality and graph the solution on the number line.

9. x > 2

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10. y ≤ 5

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11. Which inequality represents 'a number is less than 8'?

a

x > 8

b

x < 8

c

x ≥ 8

d

x ≤ 8

Determine if the following statements are true or false.

12. If x = 5, then x + 2 > 6 is true.

T

True

F

False

13. The solution to 3y < 12 is y < 4.

T

True

F

False

Read each word problem and write an inequality to represent the situation. Then solve the inequality.

14. Sarah wants to buy a book that costs $15. She has $7. How much more money (m) does she need to save?

15. A bus can hold a maximum of 40 students. If there are already 25 students on the bus, how many more students (s) can get on?