Rearranging a formula repeated occurrences | AP Precalculus

PrerequisitesPrerequisite

Collect all terms containing the target variable, then factor it out.

Clear fractions where needed.
Put every term containing the target variable on one side.
Factor the target variable, then divide by the remaining parenthesis.

Example 1

Collect and factor

Make the stated variable the subject of the formula.

Factor the expression.

Apply this to both sides; then write the subject on the left.

Example 2

A variable in a denominator

Rearrange the formula for the stated variable.

Apply this to both sides.

Apply this to both sides; then write the subject on the left.

Remember
Use the rearranged formula where its denominator and the original denominator are non-zero.

Your turn

Question 1

Make the subject.

Check answer

Apply this to both sides; then write the subject on the left.

Question 2

Make the subject.

Check answer

Collect the

terms to obtain

, then divide both sides by

Question 3

Make the subject.

Check answer

Multiply both sides by

to clear the denominator, which must be non-zero. Collect the

terms to obtain

, then divide both sides by

Question 4

Make the subject.

Check answer

Multiply both sides by

to clear the denominator, which must be non-zero. Collect the

terms to obtain

, then divide both sides by

Question 5

Make the subject.

Check answer

Multiply both sides by

to clear the denominator, which must be non-zero. Collect the

terms to obtain

, then divide both sides by

Rearranging a formula - repeated occurrences

Example 1

Example 2

Your turn