A value represented by a letter
Variable
What is the variable in 4m?
m
What are the like terms in the expression? 5x-7y+23x
5x and 23x
What are the like terms in the expression?
3x2+ 11x + 14x
11x and 14x
Simplify:
x+3(x+4)
4x+12
A number that is multiplied to a variable
Coefficient
What is the variable?
3x + 25
x
What are the like terms in the expression? 6y + 3x - 5y
6y and -5y
What are the like terms in the expression?
6x3+ 7x2 + 12x3
6x3 and 12x3
Simplify:
2x-5(x-2y)
-3x+10y
A number on it's own
What is the coefficient? 3x3-10
3
Simplify:
3x + 9x - 20
12x - 20
Simplify:
4x2-2x2 + 3x
2x2 + 3x
Simplify:
5-3(y+4)
-3y-7
Terms with the same variable
raised to the same power.
Like Term
What is the coefficient?
-4.2y + 3.6
-4.2
Simplify:
8y - 6x + 2y + 3x
-3x + 10y
Simplify:
5x2 - 10x + 3x - 2x2
3x2 -7x
Simplify:
-x+3(y-6)
-x+3y-18
Numbers, variables, and operators that are grouped together to show the value of something.
Expression
What is the constant?
x2+ 4x + 725
725
Simplify:
4x - 4y + 12 -10 + 2x
6x - 4y + 2
Simplify:
3x3 - 4y3 +2x -10
There are no like terms.
3x3 - 4y3 +2x -10
Simplify:
3x+3y(-x+2)
3x-3xy+6y