Real Number System
Positive and negative whole numbers
Integers
What is the distributive property?
Multiplying the term DIRECTLY in front of parentheses to every term inside parentheses.
What do we need to be mindful of when distributing a negative?
Signs of the terms inside the parentheses
Simplify:
2x + 3 + 5x + 6
7x + 9
A letter representing an unknown value
Variable
A type of numbers that can be written as a fraction
Rational Numbers
Simplify the following expression:
2 ( x + 5)
2x + 10
-7(4x + 2)
-28x -14
Simplify:
5c - 4c + c + 6b + 3b
9b + 2c or 2c + 9b
A number by itself (no variable)
Constant
Numbers that cannot be written as a fraction
Irrational Numbers
Simplify the expression:
5(4n - 3)
What happens when you multiply two negatives?
Answer is positive
True or False: You do 3 + 4 first to simplify this expression.
3 + 4(2n - 5)
False. Distribute the 4 first
Number being multiplied by a variable
Coefficient
Answers will vary
Simplify:
10(3x + 12 - 7x)
30x + 120 - 70x2
-(-3x + 10)
3x - 10
-10x - 10(5x + 11)
-60x - 110
Small number to the upper right corner of a number or variable
ex. ) the two in x2
Exponent or power
How many subsets are there in Rational Numbers? List them
3 subsets: Integers, Whole Numbers, and Natural Numbers
Simplify:
1 + 7(1 - 3x)
-21x + 8 or 8 - 21x
-4x(2x + 8)
-8x2 - 32x
Simplify:
2(x - 3x) - 6x(5x - 8)
- 30x2 + 44
Terms with the same variables and same exponents
Like Terms