28 terms

# Algebra I

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What is algebra?
algebra is a mathematical language that uses symbols, usually letters, along with numbers.
What is a Variable?
a quantity that can assume any of a set of values
Coefficient
a constant number that serves as a measure of some property or characteristic
Constant
a quantity that does not vary
Term
(architecture) a statue or a human bust or an animal carved out of the top of a square pillar
Like Term
two or more terms that have the same variable raised to the same power
Algebraic expression
A mathematical phrase involving at least one variable and sometimes numbers and operation symbols.
Algebraic equation
an expression with one or more variables
simplify
make simpler or easier or reduce in complxity or extent
distribute
to arrange in a systematic order
solve
find the solution to (a problem or question) or understand the meaning of
integer
any of the natural numbers (positive or negative) or zero
negative exponent
an exponent less than zero which causes the base and its exponent to move positions in a fraction
a sign placed in front of an expression to denote that a root is to be extracted
square of a number
a number (factor) that when multiplied by itself yields the original number
cube of a number
The third power of a number (e.g. 2x2x2=8)
zero exponent
The number always will equal one
domain
the set of values of the independent variable for which a function is defined
range
the limits of the values a function can take
function
a mathematical relation such that each element of one set is associated with at least one element of another set
polynomial
a mathematical expression that is the sum of a number of terms
monomial
an expression with only one term
binomial
a quantity expressed as a sum or difference of two terms
trinomial
a polynomial with three terms
inverse function
the function obtained by expressing the dependent variable of one function as the independent variable of another
slope intercept form
y=mx+b
standard form of a line
Ax + By = C
point slope form of a line
y - y₁=m (x-x₁)