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Section 3.3 Solving Multi-Step Equations **More than one operation to isolate the variable**

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Remember solving an equation is a balancing act. What you do to one side you have to do to the other!!

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Steps to solving a linear equation: Simplify each side separately Isolate variable by using reverse order of operations. (SADMEP)

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Solving a Linear Equation Write the original equation. Addition Prop of Equality Simplify. Division Property of Equality Simplify. CHECK

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Solving a Linear Equation Write the original equation. Subtraction Property of Equality Simplify. Division Property of Equality Simplify. CHECK

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Solving a Linear Equation Write the original equation. Subtraction Property of Equality Simplify. Multiplication prop of Equality Simplify. CHECK (3)

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Combining Like Terms First… Write the original equation. Simplify (Combine like terms) Division Property of Equality Simplify. CHECK

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Combining Like Terms First… Write the original equation. Simplify (combine like terms) Division property Simplify. CHECK

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Combining Like Terms First… Write the original equation. Simplify (combine like terms) Division Prop of Equality Simplify. CHECK

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Combining Like Terms First… Write the original equation. Combine like terms. Addition prop of Equality Simplify. CHECK Division property of equality 4 4

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Your Turn Combining Like Terms First… CHECK

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Using the Distributive Property… Write the original equation. Distributive prop Addition prop of equality Division prop of equality CHECK Simplify Simplify.

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Using the Distributive Property… Write the original equation. Distributive prop. Simplify (combine like terms) Subtraction prop of equality Division prop of equality CHECK Simplify Simplify.

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Using the Distributive Property… Write the original equation. Distributive prop Combine like terms. Subtraction prop of equality Division prop of equality CHECK Simplify Simplify.

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Write the original equation. Distributive prop Simplify Subtraction property

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Practice…

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Multistep Word Problems Section 3.3 notes Word Document

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