# Expressions and Equations Part I

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19 Terms
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Variable
a symbol that represents (stands for) a number Example: x or y
Coefficient
a number in front of a variable Example: 3x, the 3 is the coefficient
Constant
a number with no variable attached Example: 4, or in (w + 5), the 5 is a constant
Terms
variables, numbers, or the product of a number and variable(s) separated by addition or subtraction signs Example: One Term: x or 4y Two Terms: 3z + 2 Three Terms: 8w - 7t + 9
Algebraic Expression
A mathematical phrase that can contain numbers, variables and operations(+,-,x,Ã·) Examples: a + 1 or a - b or 3x
Base
a number or variable with an exponent on it
Like Terms
Like Terms have the same variable base and exponent example: 3x and 6x
How to: Combine Like Terms
add the coefficients & keep the variables the same (do not + or - exponents) The sign in front of each term is part of the term 4yÂ² + 7yÂ² = 11yÂ² You can't add 3x + 6xÂ²
Distributive Property (with variables)
a(b+c) = a(b) + a(c) Always distribute before combining like terms Example: 6(2+4x) = 6(2) + 6(4x) = 12 + 24x
Monomial
One Term Example: 3x
Binomial
Two terms or monomials, connected through addition or subtraction Example: 3x - 6
Trinomial
Three terms or monomials, connected through addition or subtraction Example: 3xÂ² - 6x + 4
Polynomial
an expression that is a monomial, binomial, trinomial, or larger