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## 2-1 Solving One-Step Equations

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**Equivalent equations: equations that have the same**solution(s) Addition Property of Equality: adding the same number to each side of the equation produces an equivalent equation Subtraction Property of Equality: Subtracting the same number from each side of an equation produces an equivalent equation**Solving an Equation**• Isolate the variable (get the variable by itself) • To isolate the variable using the properties of equality and inverse operations (undo another operation; subtraction is the inverse of addition)**Multiplication Property of Equality: multiplying each side**of an equation by the same nonzero number produces an equivalent equation Division Property of Equality: Dividing each side of an equation by the same nonzero number produces an equivalent equation