Using Kramer's Rule to 2 X 2 matrices

Plug-in the variable below...

Describe and how to solve TPS and Difference of 2 Squares

Different of 2 squares:

or the other way around.

Examples:

• (49x² - 64) = (7x + 8)(7x - 8)
• (4x + 6)(4x - 6) = 16x² - 36 

*but (a² + b²) is not the same as (a² - b²)

Squaring Numbers that End in 5

   65
We add 1 to the first digit of the number which is 6
So we get 7
We multiply the first digit of the number(6) and the number we just got(7)
equals 42
Then we add 25 to the end of 42.
so you get: 4225
 Example:



Parent Graphs of at least 7 Equations

Parabola

Rational

Changing Decimals to Fractions

Changing Decimals to Fractions:

Step 1: Write down the decimal divided by 1, like this: decimal/1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

Step 3: Simplify (or reduce) the fraction

Rules of Exponents

1) A variable with the exponent 1 is same variable.
2) When the exponent is zero the variable(Or whatever the variable is) always equals 1.
3) When the exponent is negative, put 1 over the variable and make the exponent positive.
4) When multiplying the variables with exponents, add the exponents and multiply the variables.
5) When dividing the variables with exponents, subtract the exponents and divide the variables.
6) When the variable x cubed is being squared, you multiply the 3 and 2.(from the example)
7) When the the variables xy is cubed, then each of the variable are cubed.(from the example)
8) When x divided by y is being cubed, then you cube both x and y.(from the example)
9) When the exponent is negative, put 1 over the variable and make the exponent positive.

Matricies

Dimensions of a Matrix:

# of Rows x # of Columns

     There are 2 Rows                                                                           There are 3 Columns

Example:

# of Rows: 3

# of Columns: 2

So it is a 3x2 matrix

System of Equations

Consistent - It has a solution

• Dependent - All Numbers/ Many Solutions
• Same Slope
• Same Y-Intercept

• Independent - One Solution
• Different Slope
• Different Y-Intercept

Inconsistent - It has no solution



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