Solving Equations II

1
Solving Equations II
2
General rules for solving equations

• Manipulate the equation until you have a POSITIVE
  variable on one side of the equal sign.
• Whatever you do to one side of the equal sign,
  you MUST do the exact same thing to the other
  side.

3
Recognizing multiplication

• Examples (look for no operation between a number
  and the variable)

4
To Solve

• Determine what is being multiplied to the
  variable.
• Example

5
Step 1

• Get rid of the 6, so x can be by itself. What
  is the opposite of times 6?
• Example

Answer Divide by 6
6
Step 2

• Then, what does x equal?
• Example

7
Recognizing division

• Examples (division can also be written in the
  form of a fraction)

8
To Solve

• Determine what the variable is being divided
  by.
• Example

9
Step 1

• Get rid of the 12, so m can be by itself.
  What is the opposite of 12?
• Example

Answer times 12
10
Step 2

• Then, what does m equal?
• Example

11
Things to remember

• Integer rules apply multiplying and
  dividing with negatives
• Perform the same operation, on BOTH sides of
  the equal sign
• Variable must be POSITIVE!

12
Practice Problem 1
13
Answer to Practice Problem 1
14
Practice Problem 2
15
Answer to Practice Problem 2
16
Practice Problem 3
17
Answer to Practice Problem 3
18
Practice Problem 4
19
Answer to Practice Problem 4
20
Practice Problem 5
21
Answer to Practice Problem 5
22
Practice Problem 6
23
Answer to Practice Problem 6
24
Practice Problem 7
25
Answer to Practice Problem 7
26
Practice Problem 8
27
Answer to Practice Problem 8
28
Practice Problem 9
29
Answer to Practice Problem 9
30
Extra Practice

• Select Integer Multiplication or Division
  Sentences
• Simple lesson on solving one-step equations