VOCAB 1
a symbol (usually a letter) standing in for an unknown numerical value
variable
an algebraic expression that has no like terms and no parenthesis
simplest form
Find the GCF of each pair of monomials.
5x, 15x
5x
3x – 12
3(x - 4)
–2(x + 3) + 14x
6(2x – 1)
each part of an algebraic expression
term
the greatest monomial that is a factor of both
greatest common factor
Find the GCF of each pair of monomials.
21m, 35m
7m
8x + 36
4(2x + 9)
–6(x + 7) + 9x
3(x – 14)
the numerical factor of a term that contains a variable
coefficient
a number, variable, or a product of a number of one or more variables
monomial
Find the GCF of each pair of monomials.
44n, 55n
11n
13x + 28
cannot be factored
5(3x – 4) + 21x
4(9x – 5)
a term without a variable
constant
an algebraic expression in which each term is a CONSTANT (or the product of a constant) and the VARIABLE raised to the first power, that represents a STRAIGHT-LINE relationship.
linear expression
Find the GCF of each pair of monomials.
16xy, 24xy
8xy
56x – 21
7(8x – 3)
8(–5x + 2) + 46x
2(3x + 8)
contain the same variable to the same power
like terms
is a straight line when plotted on a coordinate plane.
The GRAPH of a LINEAR EXPRESSION
Find the GCF of each pair of monomials.
8bc, 17abc
bc
18xy + 9x
9x(2y + 1)
–3(–4x + 8) – 2x
2(5x – 12)