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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

radical

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)

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