Properties of Equality Worksheet

Explore and apply the properties of equality (addition, subtraction, multiplication, division, substitution, and reflexive) to solve algebraic equations.

Grade 8 Math AlgebraProperties of Equality

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Includes

Fill in the BlanksMultiple ChoiceShort AnswerCustom

Standards

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

Topics

algebraequationsproperties of equalitygrade 8

6 sections · Free to use · Printable

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Properties of Equality

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Read each question carefully and apply the correct property of equality to solve or identify the property being used. Show all your work.

Complete each statement by filling in the blank with the correct property of equality.

1. If a = b, then a + c = b + c. This is the Property of Equality.

2. If x - 5 = 10, then x = 15. This is an example of the Property of Equality.

3. If 3y = 12, then y = 4. This is an example of the Property of Equality.

4. If m = n, and n = p, then m = p. This is the Property of Equality.

5. Which property justifies the step from 2x + 7 = 15 to 2x = 8?

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

6. If a = 5 and b = a + 3, then b = 5 + 3. Which property is applied here?

Reflexive Property

Symmetric Property

Transitive Property

Substitution Property

Solve each equation. Justify each step with a property of equality.

7. Solve for x: x + 9 = 20

8. Solve for y: 4y - 3 = 17

9. Solve for z: z / 5 + 2 = 6

10. A scale is balanced with 3 identical weights and a 5 kg block on one side, and a 20 kg block on the other side. Let 'w' represent the mass of one identical weight. Write an equation to represent this situation and solve for 'w', justifying each step.