Monday, May 9, 2011

Kaecee's Algebra Post

Variable: The unknown, using a letter to represent the number.
Constant: The integer in an algebraic expression or equation.
*You have to make a zero pair
Algebra: Writing mathematical phrases using letters to represent numbers
Eg. 9x -7 = -7

Solving Addition/Subtraction One Step Equations:
1. Isolate the variable
2. Cancel using the opposite
- Create a zero pair for the constant
3. Balance on the other side of the equal sign
4. Verify your answer

3 + p = 8
3 - 3 + p = 8 - 3
p = 5
3 + p = 5
3 + 5 = 8
8 = 8

x - 7 = 13
x - 7 + 7 = 13 + 7
x= 20
x - 7 = 13
20 - 7 = 13
13 = 13

Solving Addition/Subtraction One Step Equations Using Algebraic Tiles:
1. Isolate the variable
2. Cancel the constant using a zero pair
3. Balance
4. Verify

Solving Two Step Equations:
1. Isolate the variable
2. Cancel the constant
3. Balance
4. Simplify the variable
5. Balance
6. Verify

3x + 8 = 11
3x + 8 - 8 = 11 - 8
3x = 9
3x/ 3 = 3/3
x = 1
3x + 8 = 11
3 (1) + 8 = 11
3 + 8 = 11
11 = 11

Also here is a video: