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Addition and Subtraction Equations Created by Christine Berg Edited by V Hamilton

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Inverse Operations: Addition is the opposite of subtraction and vice versa

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Models = Variable = 1 = -1

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Subtraction Property of Equality You can subtract the same value from both sides of an equation

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Example: Arithmetic: 5 = 5 5 – 2 = 5 – 2

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Example: Algebraic: If a = b then a – c = b – c

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Example: x + 2 – 2 = 4 – 2 x = 2 x + 2 = 4

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Example:

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Example: Subtract 2 from each side

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Example: x = 2

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Addition Property of Equality You can add the same value to both sides of an equation

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Example: Arithmetic: 9 = 9 9 + 2 = 9 + 2

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Example: Algebraic: If a = b then a + c = b + c

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Example: x - 2 + 2 = 4 + 2 x = 6 x - 2 = 4

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Example:

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Example: x – 2 + 2 = 4 + 2 ++

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Example: x = 6

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In your own words words write what you learned from this lesson.

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Warm Up Simplify each expression. 1.10c + c 2. 5m + 2(2m – 7) 11c 9m – 14.

Warm Up Simplify each expression. 1.10c + c 2. 5m + 2(2m – 7) 11c 9m – 14.

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