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Published byRuth Ward Modified over 6 years ago

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Solving Word Problems w/ Algebra

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Algebra To solve for a variable you must isolate the variable by using the “inverse” operation on both sides (what do to one side you must do to the other) Ask yourself “How do I make something zero”

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You must make both sides of the equation equal. Example: e + 3 = 14 e +3 -3 = 14 -3 (Inverse operation) e = 11

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Example For an equation using addition, what is the inverse operation. t + 4 = 17 t +4 -4 = 17 -4 t = 13

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For equations using subtraction, what is the inverse operation? u -8 = 2 U – 8 +8 = 2 + 8 Addition undoes subtraction, and subtraction undoes addition. They are INVERSE operations

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Isolate To use inverse operations on both sides of an equation so the variable is by itself on one side

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OperationInverse Operation AdditionSubtraction subtractionaddition MultiplicationDivision Multiplication Dani says that the equation j + 7 = 12 and 7 + j =12 cannot be solved the same way. What would you say?

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Example Solve h- 25 = -11 Step 1: What is the operation of the equation? Step 2: Inverse operation? Step 3: Isolate Step 4: Simplify

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Solve d ◦ 11 = 99 What operation is being used?

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12n =48

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What is Order of Operations?

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Two-Step Algebraic Equations In two step equations, you will be doing 2 different inverse operations. First, focus on the operations that does not involve the variable. Example: 8v+5 = 13 8v +5 -5 =13 -5

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Second, focus on the operation that is associated with the variable. Example: 8v = 8 What is the inverse operation? 8v ÷ 8 = 8 ÷ 8 v = 1

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Solve 5q -50 = 25

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(g-8) / 5 = -13

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s/4 + 3 = 9

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