Vocabulary
What is the mathematical term for "opposite operations"?
For example: addition/subtraction or multiplication/division
Inverse Operations
___________ is the inverse of addition.
Subtraction
x + 6 = 10
x = 4
6x + 2x - 3
8x - 3
x + 4x + 1 = 26
x = 5
A math problem without an equal sign is called an ___________, and a math problem with an equal sign is called an ___________.
Expression
Equation
___________ is the inverse of multiplication.
Division
7x = 42
x = 6
4 + 4x + 8
4x + 12
9 + 25x + 6 = 90
x = 3
Terms that have the same variable
Like terms
When solving an equation your first step should be to ___________.
Combine any like terms
2x + 11 = 35
x = 12
9x - 6 - 3x
6x - 6
7x - 10 + 3x = 100
x = 11
What is it called to simplify an expression by grouping numbers and variables?
Combining like terms
After combining like terms we use ___________ to get the variable all by itself on one side of the equation.
Inverse Operations
3x - 5 = 19
x = 8
5 + 5x - 10
5x - 5
3 - 6x - 2 = 31
x = - 5
The letter in an equation is called a ___________ and the number in front of it is called a ___________. The number on its own in an equation is called a ___________.
Variable
Coefficient
Constant
When performing inverse operations ___________ is always done first and ___________ is always done second.
Addition/Subtraction
Multiplication/Division
x/2 - 4 = 12
x = 32
11x + 7 + 9x + 10 - 2
20x + 15
5x - 15 + 5x + 5 = 120
x = 13