Saturday, May 7, 2011

Bennette's Algebra Post

ALGEBRA- a part of mathematics that uses mathematical statements using letters to represent the value of a number.

ONE- STEP ALGEBRA:
eg.

n - 6 = 17
n-6+6 = 17 + 6
n = 23

VERIFY:
n - 6 = 17
23 - 6 = 17
17 = 17

How I got that? Here are the steps:

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.

VARIABLE - the unknown
- use a letter to represent a number

CONSTANT - the integer in an algebraic expression or equation
eg. 3x = 9 <-- equation
3x <-- expression

MULTIPLY and DIVIDE:

1.) Isolate the variable.
2.) Cancel using the opposite
- multiply or divide
3.) Balance.
4.) Verify

MULTIPLY:

3n = 21
/3 /3
n = 7

Verify:
3n = 21
3(7) = 21
21 = 21

DIVIDE:

n/2 = 12
2/2 = 12(2)
n = 24

Verify:
n/2 = 12
24/2 = 12
12 = 12

When there are ( - ), multiply and divide cancel with the same integer.

TWO STEP ALGEBRA:

STEPS:

1.) Isolate the variable.
2.) Cancel the constant.
3.) Balance.
4.) Simplify the variable.
5.) Balance.

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