## 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. \(\large{ 0, 1, 2, 3, 4, 5, 6, ... }\)