Vocab
The letter in the equation
Variable
__________ is the inverse of addition.
Subtraction
Solve for x.
x + 1 = 4
Solve for x.
2x + 1 = 5
x= 2
Simplify by combining the like terms:
6x + 2x - 3
8x - 3
"Get the letter by itself"
isolate the variable
_____________ is the inverse of multiplication.
Division
Solve for x.
x - 5 = 6
x=11
Solve for x.
3x - 2 = 7
x= 3
Simplify by combining the like terms:
4x + 8x + 4
12x + 4
opposite operations
For example: addition -- subtraction
multiplication -- division
inverse operations
We solve equations by using ________ ________.
Inverse Operations
Solve for x. 3x = 9
x= 3
Solve for x.
6x + 4 = 28
x= 4
Simplify by combining the like terms:
10x -5x - 5
Terms that have the same variable and exponent
Like Terms
When solving two step equations, addition and subtraction is always done _________.
First
Solve for x.
6x = 24
x= 4
Solve for x.
x/2 + 1 = 8
x= 14
Simplify by combining the like terms:
2x - 6 + 9x
11x - 6
The number in front of the variable (letter)
Coefficient
When solving two step equations, multiplication and division is always done _________.
Last
Solve for x.
x/3 = 6
x= 18
Solve for x.
x/2 - 3 = 5
x= 16
Simplify by combining the like terms:
3x + 7x + 6 - 3
10x + 3