Solving for a Variable In a Formula

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Presentation transcript:

Solving for a Variable In a Formula

Solving for a Variable in a Formula Formulas are identical to equations except that there is more than one letter. When you solve an equation, you isolate the variable. When you solve a formula, they have to tell you which variable to isolate!

Solving for a Variable in a Formula Let’s solve the equation 3x = 6 The 3 is connected to the x by multiplication. To disconnect it we’ll have to un-multiply. The opposite of multiply is divide, so we divide by 3.

Solving for a Variable in a Formula Let’s solve the formula rt = d for t The r is connected to the t by multiplication. To disconnect it we’ll have to un-multiply. The opposite of multiply is divide, so we divide by r.

Solving for a Variable in a Formula Formulas are actually easier to solve than equations because you don’t have to actually do the arithmetic. You can just rearrange the letters.

Solving for a Variable in a Formula Let’s solve the formula for the perimeter of a triangle for side 1. Perimeter = side1 + side 2 + side 3

Solving for a Variable in a Formula Let’s solve the formula p = s1 + s2 +s3 for s1 The other sides are connected to s1 by addition so we need to subtract. Notice: The variable that you’re solving for can be on the right in your answer.

Solving for a Variable in a Formula Let’s solve for h in the formula

Solving for a Variable in a Formula You can’t cancel anything on the left because the V doesn’t cancel with the bottom.

Solving formulas It’s just like solving equations. Peel the other variables away from the one you are isolating. Reverse the order of operations: Add or subtract first Then multiply or divide Only cancel if you can cancel completely.