## Algebra

Algebra is a branch of mathematics that uses letters or symbols as a place holder for unknown values or numbers.  These variables are used to represent relationships and to solve equations.

## Algebra Terms

• This equation $$\large{13a^2+7x-21=19 }$$ is used for all terms.
• Axiom - A statement accepted as true without proof.
• Base - The term is $$\large{13a^2 }$$, the base is $$\large{ a }$$
• Binary numbers - Use only the digits $$\large{ 0 }$$ and $$\large{ 1 }$$
• Coefficient - A number multiplied by a variable.  The coefficient is $$\large{13, 7 }$$
• Constant - A fixed number.  The constants are $$\large{ 21 }$$ and $$\large{ 19 }$$
• Counting Number - Any number used to count things with excluding 0, negative numbers, fractions or decimals.  $$\large{ 1, 2, 3, 4, 5, 6,... }$$
• Denominator - The number of equal parts of the whole is $$\large{ 8 }$$, fraction is $$\large{ \frac{3}{8} }$$
• Digit - A numeral like $$\large{ 2119 }$$ has digits $$\large{ 2, 1, 1, }$$ and $$\large{ 9 }$$
• Equation - $$\large{ 13a^2+7x-21=19 }$$
• Exponent (also called index or power) - Is how mant times you multiply the number.  Term is $$\large{ 13a^2 }$$, the exponent is $$\large{ 2 }$$
• Expression - A group of terms, coefficients, constants and variables separate by an operation.  The expression is $$\large{ 13a^2+7x-23 }$$
• Factor - Numbers like $$\large{ 3 }$$ and $$\large{ 8 }$$ that can be multiplied to get another number $$\large{ 24 }$$.  Equation $$\large{ 3\;x\;8=24 }$$
• Factoring - Factor $$\large{ 7 \left(x-3\right) }$$ expand to $$\large{ 7x-21 }$$ or expressed as $$\large{ 7 \left(x-3\right) = 7x-21 }$$
• Fraction - A part of the whole $$\large{ \frac{3}{8} }$$
• Hexadecimal number - Based on the number 16.  $$\large{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F }$$
• Integer number - A whole numbers that can be either positive or negative with no fractions.  $$\large{ ... , -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, ... }$$
• Irrational number - A number that cannot be written as a fraction.
• Like terms - These are terms where the variables are the same.  The terms are $$\large{ 13a^2, 3a^2, -3a^2 }$$, the like terms are $$\large{ a^2 }$$
• Matrix - A rectangular or square array of numbers using either brackets or parentheses.
• Natural number - Can be either counting numbers or whole numbers.  $$\large{ 1, 2, 3, 4, 5, 6, ... }$$ or  $$\large{ 0, 1, 2, 3, 4, 5, 6, ... }$$
• Numeral - A single symbol to make a numeral like $$\large{ 2119 }$$
• Numerator - The number of parts is $$\large{ 3 }$$, fraction is $$\large{ \frac{3}{8} }$$
• Octal number -  $$\large{ 0, 1, 2, 3, 4, 5, 6, 7 }$$
• Operator - A symbol such as $$\large{ +, - }$$
• Polynomial - The sum of two or more terms.  A term can have constants, exponents and variables, such as $$\large{ 13a^2 }$$.  Put them together and you get a polynomial.
• Monomial - 1 term $$\large{ 13a^2 }$$
• Binomial - 2 terms $$\large{ 13a^2+7x }$$
• Trinomial - 3 terms $$\large{ 13a^2+7x-21 }$$
• Prime number - A number that can be divided evenly only by $$\large{1}$$, or itself and it must be a whole number greater than $$\large{1}$$.
• Rational number - Numbers expressed as a ratio of two numbers.  $$\large{ 3/4, \; -1/8 }$$
• Rounding - Replacing a number with another number having less digits.
• Series - The sum of the terms of a sequence.  $$\large{ 1, 2, 3, 4, 5, 6, ... }$$ or $$\large{ 1 + 2 + 3 + ... + n }$$
• Set - A group of numbers, variables, or really anything written using $$\large{ (\; ) }$$ or $$\large{ [\; ] }$$.
• Terms - Either a single number or a variable, or numbers and variables multiplied togeather.  The terms are $$\large{ 13a^2, 7x, 21, 19 }$$
• Theorem - A true statement that can be proven.
• Variable - Letters or symbols that are used to represent unknown values that can change depending in the infomation.  The variables are $$\large{ a }$$ and $$\large{ x }$$
• Whole number - Just positive numbers with no fractions.  $$\large{ 0, 1, 2, 3, 4, 5, 6, ... }$$
Display #
Title
Algebraic Expression
Algebraic Properties
Algorithm
Arithmetic Expression
Arithmetic Sequence
Associative Property
Axiom
Between
Binomial
Brute Force Algorithm
Commutative Property
Distributive Postulate
Engineering Notation
Function