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Published byMalcolm Howard Modified over 8 years ago

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I can solve one-step equations in one variable.

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Equations that have the same solutions. In order to solve a one-step equation, you can use the properties of equality and inverse operations EQUIVALENT EQUATIONS

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Adding the same number to each side of an equation produces an equivalent equation. x – 3 = 2 x – 3 + 3 = 2 + 3 Subtracting the same number from each side of an equation produces an equivalent equation. x + 3 = 2 x + 3 – 3 = 2 - 3 ADDITION AND SUBTRACTION PROPERTIES OF EQUALITY

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To solve an equation you must isolate the variable by getting the variable alone on one side of the equation. You do this by using inverse operations, undoing the operation. Ex: subtraction is the inverse of addition INVERSE OPERATIONS

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x + 13 = 27 You want to isolate the variable x + 13 - 13 = 27 - 13 Use inverse operations x + 0 = 14 Simplify x = 14 EXAMPLE

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Substitute your answer into the original equation. 14 + 13 = 27 27 = 27 If both sides are not equal, go back and check your work. CHECK YOUR ANSWER

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-7 = b -3 b = -4 YOU TRY!

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MULTIPLICATION AND DIVISION PROPERTIES OF EQUALITY

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EXAMPLES

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SOLVING USING RECIPROCALS

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ODDS ONLY Pg. 85 #11-17, 27,29, 39,41, 43-51, 71 ASSIGNMENT

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