Tuesday, October 6, 2009

Chapter 2-Solving Equations

Today in algebra 1 we learned the steps to solving an equation. The steps are as followed:

Step 1
Step 2
Step 3-combine like terms on EACH side
Step 4
Step 5-Undo addition or subtraction
Step 6-Undo multiplication or division

Example:
13=y over 3+5
13-5=y over 3+5-5 Subtract 5 from each side
8=y over 3 Simplify
8*3=y over 3*3 Multiply each side by 3
y=24 Simplify

After this you must check your work.

13=y over 3+5
13=24 over 3+5 Substitute y for 24
13=8+5
13=13

For this problem you use steps 5&6.

These are the steps for addition and subtraction. When there is and addition sign subtract the same number that's being added. When there is a subtraction sign add the same number that's being subtracted.
When you are dividing in the equation you want to multiply the same umber that is being divided. When you are multiplying you want to divide the number being multiplied.

Example:

3x-4x+6=-2 Combine like terms(3x-4x)
-1x+6=-2 Simplify
-1+6-6=-2-6 Subtract 6 from each side
-1x=-8 Simplify
---------
-1 -1 Divide by 1 on each side
x=8 Simplify


For this problem you use steps 3,5,&6.

By Kathryn S.

7 comments:

Bridget Stanford said...

This is very understandable and clear to me. It's very good as well as descriptive. You also had very good examples. Good job!! =)

Anonymous said...

I like how you explained the different steps how to solve the equations. It is very clear!
Allie

Alex S. said...

Kathryn's explanation of solving equations helped me a lot when I was doing the homework assigned that night. The examples especially helped.

kate said...

Nice job Kathryn. The color coding makes it easy to read and I like that you put the steps that we had so far into your post.-Kate

Anonymous said...

You took really nice notes! Good examples. You did a good job rewriting the lesson in your own words. -Ada

Joe P said...

Nice Job! Very Descriptive

Harry K said...

there are very good descriptive helping statements. thank you!! Good Job