Vocab
It's when addition or subtraction signs separate an algebraic expression into these parts
term
It's the basic expansion of a(b + c)
ab + ac
It's the GCF of 25 and 30
5
The variables in linear expressions are to this power
one (1)
These mathematical operations separate algebraic expression into terms
addition and subtraction
In a variable term, it's the number the variable is multiplied by.
coefficient
It's the expansion 2(x + 2)
2x + 4
It's the GCF of 9x and -3x
3x
It's the simplest form of (2x + 4) + (2x + 4)
4x + 8 or 4(x+2)
these are terms that contain the same variables to the same powers
like terms
It's the greatest monomial that is a factor of two monomials
greatest common factor (gcf)
It's the expansion of -(3x - 3)
-3x + 3
It's the GCF of 6xy and 27y
3y
9x2 is not a linear expression because of this reason
the variable has an exponent that is not 1
It's a term without a variable
a constant
This mathematical process means to write a number as a product of its factors.
factor
It's the expansion of -4(-2x - 3)
8x + 12
It's the GCF of 4xzy and 5x
x
It's the additive inverse of -4x + 13
4x - 13
It's the simplified form of (15x + 7) + (-11x - 2)
4x + 5
It's an algebraic expression that contains no like terms and parentheses.
factored form
3x2 + 3x
It's the factored form of 10xy - 15y
5y(2x - 3)
It is the factored form of 3(2x - 1) - 4x
2x - 3
It's the simplified factored form of (14x - 2) - (11x -21)
3x + 19