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# One-Step Equations Transformed by Multiplication/Division

## Multiplication or division to solve an equation.

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One-Step Equations Transformed by Multiplication-Division

What if you had an algebraic equation involving multiplication or division like ? How could you solve it for the unknown variable x? After completing this Concept, you'll be able to solve equations like this one.

### Watch This

CK-12 Foundation: 0302S Solving Equations with Multiplication and Division (H264)

### Guidance

#### Example C

Solve .

To cancel the 5, we divide both sides by 5.

#### Example D

Solve .

Divide by 1.375

Notice the bar above the final two decimals; it means that those digits recur, or repeat. The full answer is 0.872727272727272....

To see more examples of one - and two-step equation solving, watch the Khan Academy video series starting at http://www.youtube.com/watch?v=bAerID24QJ0.

Watch this video for help with the Examples above.

CK-12 Foundation: Solving Equations with Multiplication and Division

### Guided Practice

Solve:

a) .

b) .

Solutions:

a) is equivalent to , so to cancel out that , we multiply by the reciprocal, .

b) Divide both sides by 7.

### Explore More

For 1-5, solve the following equations for .

For 6-10, solve the following equations for the unknown variable.

### Answers for Explore More Problems

To view the Explore More answers, open this PDF file and look for section 3.2.