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Simplifying and Solving Linear Equations
Transcript of Simplifying and Solving Linear Equations
8th Period Solving Equations Inverse Operation The Solving an equation that finds the variable at the same time. 2 * y = 12 (2 /2) * y = (12 / 2) y = 6 End The reciprocal is any number divided by 1. The reciprocal of 2 is 1/2 (half) Reciprocal Is sometimes called the Multiplicative Inverse *Any Number multiplied by its Reciprocal will come out to be 1* Like Terms Terms whose variables are both the same are called Like Terms. 12y + 7 + 2y = 68 *Like Terms* Distributive Property Distributive Property states that the product of a number and a sum is equal to the sum of the individual products of the addends and the number a(b + c) = a * b + a * c Solving Two-step Equations Step 1: Add 6 to both sides: 5x = 15
Step 2: Divide both sides by 5: x = 3 *A One Step Equation is an equatin that only needs to be solved with one step* *There may be other ways to do this but I couldn't find any other way* An equation that takes two steps to complete. 5x - 6 = 9 Solving
Equations An equation that takes two or more steps to complete. 2(x + 1)-x = 5 Step 1: Distribute: Step 2: Work Out: 2x + 2 - x = 5 Step 3: Combine Like Terms:
2x + 2 - x = 5
x + 2 = 5 2 * x + 2 * 1 - x = 5 Solving Equations With Variables on Both Sides Its when you combine like terms until you get an answer like this:
3x = 9 Then you would just follow the steps that you would usually would to complete a One-Step Equation 3(x + 1x) - 1x = 27 / 3 x = 3 (3x / 3x) = (9 / 3x) 3x = 9 4x - 1x = 9 3x + 1x - 1x = 9 *Another way to combine like terms in an equation is to just do whatever operation that's behind the first like term*
ex: 8y - 4 + 3y = 49 Step 4: Do Final Steps:
x + (2 - 2) = (5 - 2)
x = 3 Thanks For Watchin'