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# Math: Basic Tutorials : Rearranging Formulas

## Rearranging Formulas

An equation with more than one variable is sometimes called a formula. Formulas show us how the variables are related to one another (e.g. A = LW). This section explains how you can rearrange formulas to isolate for a given variable.

## Rearranging Formulas

Rearranging Formulas Video transcript - RTF

## Examples

Click on the titles below to view each example.

Rearrange A equals 2 times l plus 2 times w to isolate for w.

Line 1: We want to get w all by itself on one side of the equation, so we first we have to undo plus 2l by subtracting 2l from both sides, so the equation is A minus 2l equals 2l minus 2l plus 2w.

Line 2: Simplify the equation to A minus 2l equals 2w.

Line 3: To undo the multiplication we divide both sides by 2 so the equation becomes A minus 2l all over 2 equals 2w over 2.

Line 4: Simplify to get A minus 2l all over 2 equals w.

Line 5: Therefore, the equation rearranged for w is w equals A minus 2l all over 2.

Solve for r in the equation A equals P times open bracket 1 plus r t close bracket.

Line 1: We want to get r all by itself on one side of the equation, so first we must remove the brackets by multiplying each term inside the brackets by P. The equation becomes A equals P plus P r t.

Line 2: Remove P on the right side of the equation by subtracting P from both sides so the equation becomes A minus P equals P minus P plus P r t.

Line 3: Simplify the equation to A minus P equals P r t.

Line 4: To isolate for r, we need to undo the multiplication, so we divide both sides by P t, so the equation becomes A minus P all over P t equals P r t over P t.

Line 5: Simplify to get A minus P all over P t equals r

Line 5: Therefore, the equation solved for r is r equals A minus P all over P t.

### Activity

Try this activity to test your skills. If you have trouble, check out the information in the module for help.