Vocabulary
What is the difference between an equation and an expression
An equation has an equal sign
An expression does NOT have an equal sign
9 + 7x - 11 - 12x
-5x - 2
4 (x + 3)
4x + 12
9 + 7x - 11 - 12x
-5x - 2
Is this an expression or equation
x + 31y = 5
Equation
What is a term?
Everything between an operation
6n + 3n - 5m + 12 + 9m
6n+3n+9m-5m+12
2 (x - 5)
2x - 10
10 + 2b + 8b - 6
10b + 4
These are terms that have the same variables
Like Terms
What is a constant?
Another word for numbers used in expressions and equations
2y+6x+12+4y-18y
6x-18y+4y+2y +12
5 (3x + 2)
15x + 10
OR
3x + 2
4x - 3x + 2x + 12 - 19
3x - 7
The number before the variable
Coefficient
What is a variable?
Another word for the letters used in expressions and equations.
n − 10 + 9n − 3
9n + n - 10 -3
- (3x - 2)
-3x + 2
(3x - 4) + (-2x - 9)
x - 13
When you remove the unnecessary steps in the expression.
Simplifying The Expression
What are the two ways to simplify an expression?
Distributive Property and Combine Like Terms
19q - 15 - 2q - 10 +10x -4y +11x +3y-2
19q - 2q +10x +11x -4y +3y -15 -10 -2
-7 (7x - 7)
-49x + 49
OR
-7x + 7
(5x - 4) + (9x + 5)
14x + 1
A mathematical statement that is represented in numbers
Equation