# I can solve one-step equations in one variable.. Equations that have the same solutions. In order to solve a one-step equation, you can use the properties.

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I can solve one-step equations in one variable.

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

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

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

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

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

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

MULTIPLICATION AND DIVISION PROPERTIES OF EQUALITY

EXAMPLES

SOLVING USING RECIPROCALS

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

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