Properties of Equality

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What is the Subtraction Property of Equality?

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If you subtract the same number from both sides of an equation, the two sides remain equal.

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Example of Subtraction Property of Equality: 10 + d = 25, then 10 + d - 10 = 25 - 10.

Back

This shows that both sides remain equal after subtracting 10.

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What is the Addition Property of Equality?

Back

If you add the same number to both sides of an equation, the two sides remain equal.

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Example of Addition Property of Equality: y - 12 = 30, then y - 12 + 12 = 30 + 12.

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This shows that both sides remain equal after adding 12.

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What is the Multiplication Property of Equality?

Back

If you multiply both sides of an equation by the same number, the two sides remain equal.

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Example of Multiplication Property of Equality: 3x = 12, then 3x * 2 = 12 * 2.

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This shows that both sides remain equal after multiplying by 2.

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What is the Division Property of Equality?

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If you divide both sides of an equation by the same non-zero number, the two sides remain equal.

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Example of Division Property of Equality: 4y = 20, then 4y / 4 = 20 / 4.

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This shows that both sides remain equal after dividing by 4.

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What does it mean to isolate a variable?

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To isolate a variable means to get the variable alone on one side of the equation.

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Why is it important to understand properties of equality?

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Understanding properties of equality helps in solving equations and understanding how to manipulate them.