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Published byKevin Barber Modified over 5 years ago

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Using Subtraction, Addition, Multiplication and Division One Step Equations

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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.

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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!!!

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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!!)

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Your Turn (Check your work!) 6 = x + 2

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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.

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Your Turn. (Check your work.) m – 8 = -14

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Your Turn (Check your work.) ½ = y – 3/2

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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.

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Your turn (check your work) 10 = 15x

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Your turn -3.2z = 14

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Solving an Equation using Multiplication x/4 = -9Isolate the variable. Undo division by muliplying. (What property are you using?) Simplify both sides of the equation. Check your work!!!!!

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Your turn 19 = r/3 x/-9 = 8

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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!

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Your turn 12 = 3/4x

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