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What is algebra?

algebra is a mathematical language that uses symbols, usually letters, along with numbers.

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What is a Variable?

a quantity that can assume any of a set of values

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Coefficient

a constant number that serves as a measure of some property or characteristic

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Constant

a quantity that does not vary

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Term

(architecture) a statue or a human bust or an animal carved out of the top of a square pillar

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Like Term

two or more terms that have the same variable raised to the same power

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Algebraic expression

A mathematical phrase involving at least one variable and sometimes numbers and operation symbols.

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Algebraic equation

an expression with one or more variables

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simplify

make simpler or easier or reduce in complxity or extent

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distribute

to arrange in a systematic order

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solve

find the solution to (a problem or question) or understand the meaning of

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integer

any of the natural numbers (positive or negative) or zero

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negative exponent

an exponent less than zero which causes the base and its exponent to move positions in a fraction

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radical

a sign placed in front of an expression to denote that a root is to be extracted

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square of a number

a number (factor) that when multiplied by itself yields the original number

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cube of a number

The third power of a number (e.g. 2x2x2=8)

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zero exponent

The number always will equal one

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domain

the set of values of the independent variable for which a function is defined

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range

the limits of the values a function can take

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function

a mathematical relation such that each element of one set is associated with at least one element of another set

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polynomial

a mathematical expression that is the sum of a number of terms

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monomial

an expression with only one term

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binomial

a quantity expressed as a sum or difference of two terms

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trinomial

a polynomial with three terms

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inverse function

the function obtained by expressing the dependent variable of one function as the independent variable of another

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slope intercept form

y=mx+b

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standard form of a line

Ax + By = C

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point slope form of a line

y - y₁=m (x-x₁)

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