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
The letter in y = mx +b that is your slope.
What is m
"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
The letter in y = mx + b that is the y-intercept
What is y
opposite operations
For example: addition -- subtraction
multiplication -- division
inverse operations
In an equation, the number by itself (not with the variable) is called ________ ________.
The constant
Solve for x. 3x = 9
x= 3
Solve for x.
6x + 4 = 28
x= 4
Simplify by combining the like terms: 10x -5x - 5
5x - 5
Go up 3, stop
Go right 4, make a point.
What is the slope?
3/4
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
First thing you would do...on WHICH axis?
y=-2x-5
Go down 5
On the y-axis
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
The method of graphing that ALWAYS works.
A table of values