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SECTION 3-3 Solving Algebraic Equations: Multiplication and Division

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Review of Solving Algebraic Equations The idea is to keep things balanced in an equation. 4x = 16 But why??? = The equal sign tells us that each side must be the same in terms of value.

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Review of Solving Algebraic Equations In an algebraic equation you know the end answer, you need to work backwards to find the missing piece, like a detective! 4x = 16 Addition and Subtraction are inverse operations. Multiplication and Division are inverse operations. But how do we find the missing piece????? We use inverse operations.

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Solving Algebraic Equations 5x = 10 5x = 10 Step 1: Write down the problem 5 5 Step 2: Draw the line through equal sign Step 3: Inverse operation x = 2 Step 4: Solve the problem (Inverse operation helps to isolate the variable) Multiplication Example

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Multiplication Examples 3x = 27 10x = 120 45 = 5x

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Solving Algebraic Equations Division Example x 2 = 10 x 2 = 10 Step 1: Write down the problem Step 2: Draw the line through equal sign 2 x 10 2 1 2 = 1 1 Step 3: Inverse operation x = 20 Step 4: Solve the problem (Inverse operation helps to isolate the variable)

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Division Examples x = 2 20 y = 18 12 a = 9 6

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