### Multiplication and Division Techniques

For more complex equations, isolate the variable and solve the equation by using the multiplication property of equality. If you multiply each side of an equation by the same quantity, the resulting equation has the same solutions as the original one.

You can also isolate the variable and solve the equation by using the division property of equality. If you divide each side of an equation by the same

*nonzero*quantity, the resulting equation has the same solutions as the original one.Use these properties to convert an equation in which the variable has a coefficient different from 1 into an equation in which the coefficient is 1.

### Multiplication and Division Techniques

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

- Intro 0:00
- Techniques 0:16
- Multiplied by the Same Number
- Example
- Divided by the Same Number
- Non-zero Exception
- Dividing by Zero
- Example
- Strategy 3:51
- Isolate the Variable
- Lecture Example 1 4:55
- Lecture Example 2 6:40
- Additional Example 3
- Additional Example 4

1 answer

Last reply by: Jorge Sardinas

Sat Apr 28, 2012 5:47 PM

Post by Jorge Sardinas on April 28, 2012

On example 3 you' re suppose to divide not multiply you did it all wrong you made a careless mistake.

0 answers

Post by Ronnie Niven on April 20, 2012

Very good and well explained.

0 answers

Post by Caroline Rodgers on September 20, 2009

In the section "Strategy," it is awkward to use what appears to be a zero to represent an unknown number, since isolating variables depends upon using a "nonzero quantity."