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# Solving One-Step Equations

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1. Solving One-Step Equations SEI.3.AC.1SLE 1: Solve, with and without appropriate technology, multi-step equations and inequalities with rational coefficients numerically, algebraically and graphically Students will be able to solve one- step equations.

2. Rules for Solving Equations • We need to always remember that an equation is like a balance scale. • Whatever we do to one side of the equalsign, we must do to the other side. x + 2 = 5 x = 3 – 2 = – 2 Equations and Inequalities

3. Rules for Solving Equations • We can add, subtract, multiply, or divide both sides of the equal sign by the same number. • We want to perform the opposite operation from the one shown in the problem. • The opposite of adding is • The opposite of subtracting is • The opposite of multiplying is • And the opposite of dividing is subtracting adding dividing multiplying Equations and Inequalities

4. Solving Equations • Here are some examples: x + 4 = 5 – 4 = – 4 x = 1 x – 2 = 3 + 2 = +2 x = 5 3x = 15 3 3 x = 5 Equations and Inequalities