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## One Step Equations

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**One Step Equations**Using Subtraction, Addition, Multiplication and Division**How do we solve an equation???**• We have to isolate the variable. • To do this you have to get the variable with a coefficient of 1 alone on one side of the equation. • You can isolate a variable using the properties of equality and inverse operations. • An inverse operation undoes another operation.**Solving an Equation Using Subtraction**X + 13 = 27 (You need to isolate x. Start by writing the equation.) X + 13 – 13 = 27 – 13 (Undo addition by subtracting the same number from each side.) What Property is this? X = 14 (Simplify each side of the equation.) Next…You must ALWAYS check your work!!!**Checking your work.**• Always check your work and you will make sure you have the correct answer. X + 13 = 27 (Start with the original problem.) 14 + 13 = 27 (Plug in what you found the variable to be.) 27 = 27 (This checks out!!)**Your Turn (Check your work!)**6 = x + 2**Solving an Equation Using Addition**-7 = b – 3 (Isolate the variable.) -7 + 3 = b – 3 + 3 (Undo Subtraction by adding the same number to both sides. What Property are you using?) -4 = b (Simplify.) Now you need to check your work. Like we did before.**Your Turn. (Check your work.)**m – 8 = -14**Your Turn (Check your work.)**½ = y – 3/2**Solving an Equation using Division**4x = 6.4 (Isolate the variable) (Undo multiplication by dividing the same number from both sides. What Property are you using?) (Simplify each side of the equation.) Check your answer now.**Your turn (check your work)**10 = 15x**Your turn**-3.2z = 14**Solving an Equation using Multiplication**x/4 = -9 Isolate the variable. Undo division by muliplying. (What property are you using?) Simplify both sides of the equation. Check your work!!!!!**Your turn**19 = r/3 x/-9 = 8**Solving Equations using Reciprocals**4/5m = 28 (Isolate the variable.) (Multiply each side by 5/4, the reciprocal of 4/5.) (Simplify) Check your work!**Your turn**12 = 3/4x