MandysNotes

21 March 2010 In Linear Equations

4x - 2x - 5 = 4 + 6x + 3

Goal is to isolate x on one side to be able to solve.

2x - 5 = 7 + 6x

Combine like terms.

2x - 5 + 5 = 7 + 6x + 5

Add 5 to each side.

2x = 12 + 6x

Subtract 6x from each side.

-4x = 12

Then, divide both sides by -4

x = -3

CHECK your solution by plugging back into the original equation.


Disclaimer: I did not create nor do I own these videos. I have simply embedded them, courtesy of YouTube.  (But I do think this teacher does a fantastic job with his video tutorial series.)

21 March 2010 In Linear Equations

2(k - 5) + 3k = k + 6

Use the distributive property to simplify and combine like terms.

2k - 10 + 3k = k + 6

Combine like terms.

5k - 10 = k + 6

Then, add 10 to both sides.

5k = 16 + k

Then, subtract k from both sides.

4k = 16

Then, divide both sides by 4

k = 4

CHECK your solution by plugging back into the original equation.

 

Disclaimer: I did not create nor do I own these videos. I have simply embedded them, courtesy of YouTube.  (But I do think this teacher does a fantastic job with his video tutorial series.)

21 March 2010 In Linear Equations

As the name suggests, a linear equation in one variable implies that there is only ONE variable, and that the equation involves only real numbers. A linear equation in one variable can be written in this form: Ax + B = C where A does NOT equal zero.

A linear equation is also a first-degree equation, since the greatest power of any variable is 1.

Here are some examples of linear equations in one variable:

x + 2 = -1

x - 3 = 5

3k + 4 = 10

NOTRad