Terms
&
Definitions
&
Definitions
The definition of: Algebra
The study of the operations on the real numbers
Factor the following:
X2 + xb
x(x + b)
Multiply the following expressions simplify as well:
(x)(x + 3)
x2 + 3x
Why do we write every step in a math problem down?
To see what we did clearly incase something is wrong
Divide the expressions and simplify fully:
(x + 3/x) ÷ (x/2x)
2x2 + 6x / x2
The main two operations are?
Addition and Multiplication
Factor the following:
xb2c + xb
xb(bc + 1)
Multiply the following expressions simplify as well:
(x + 2)(x + 6)
x2 + 8x + 12
Why do you label things with different colors?
To be able to see and combine like terms easily
Divide the expressions and simplify fully:
(x - 2/2x) / (x + 4/2)
2x - 4 / 2x2 + 8x
The definition of Division
The inverse of multiplication
Factor the following:
2xb4c6 + xb2c3
xb2c3(2b2c3 + 1)
Multiply the following expressions simplify as well:
(x + 3x + 2)(x + 4)
4x2 + 18x + 8
Why do we label real numbers or variables with an exponent of 1?
To add exponents more easily
Divide the expressions and simplify fully:
(3x - 6/2x) / (x + 2/3x)
9x2 - 18x / 2x2 + 4x
What are the order of operations
P E M D A S
Factor the following:
6x2b10c3 + 4xb5c
2xb5c(3xb5c2 + 2)
Multiply the following expressions simplify as well:
(x + 2x + 3)(x + 3x - 2)
12x2 + 6x - 6
Why do we put a 1 in front of single variables?
To help make adding variables easier
Divide the expressions and simplify fully:
(2x - 8/4x) / (3x - 2/2x)
4x2 - 16x / 12x2 - 8
The rules of exponents
When multiplying add the exponents, wheen dividing subtract the exponents. And when adding or subtracting, the exponents must be the same.
Factor the following:
x12bc19d3 + 16x5bc11d
x5bc11d(x7bc8d2 + 16)
Multiply the following expressions simplify as well:
(x2 + 3 + 2x)(x + 3x)
4x3 + 8x2 + 12x
What is the trick for solving binomials?
F - First
O - Outside
I - Inside
L - Last
Divide the expressions and simplify fully:
(5x + 8/4x - 10) / (2x - 2/6x + 3)
30x2 + 63x + 24 / 8x2 - 28x + 20