Vocabulary
The letter in an expression that is a placeholder is called...
Variable
3x + 5x
8x
3(5)
15
Evaluate when x = 2
3x
6
Are these like terms or unlike terms? Explain why.
5x and 3x
Yes since they have the same variable.
The number next to the variable is called
Coefficient
-4x - 5x
-9x
3(2x + 5)
6x + 15
Evaluate when y = 4
4y + 1
17
Are these like terms or unlike terms? Explain why.
-5x and 3y
They are unlike terms since they have different variables.
The number by itself without a variable is called...
constant
3x + 9 -2x
x + 9
-2(5x -4)
-10x+8
Evaluate when z = -4
-5z + 10
30
Are these like terms or unlike terms? Explain why.
3xy and -5xy
They are like terms since they have the same variables.
Two terms that have the same variables and exponents are called...
Like Terms
-5x + 4 - 4x + 10
-9x + 14
-(7x -5)
-7x + 5
Evaluate when x = -5 and y = 2
-7x + 3y
41
Are these like terms or unlike terms? Explain why.
3x^2 and 5x
They are unlike terms since they have different exponents.
Two terms that do not have the same variable or exponents are called...
Unlike Terms
-7x + 3 - 3y + 5x + 4 -y
-2x -4y+7
2(3x + 6) - 6
6x + 6
Evaluate when x = 1 and y = 2
3(3x + y)
15
Are these like terms or unlike terms? Explain why.
3xy^2 and 7x^2 y
They are unlike terms since x and x^2 are not the same.