 SECTION 3-3 Solving Algebraic Equations: Multiplication and Division.

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SECTION 3-3 Solving Algebraic Equations: Multiplication and Division

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.

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.

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

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

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)

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