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
Addition Postulate
Algebraic Expression
Algebraic Properties
Algorithm
Arithmetic Expression
Arithmetic Sequence
Associative Property
Axiom
Between
Binomial
Brute Force Algorithm
Commutative Property
Distributive Postulate
Engineering Notation
Function
Hexadecimal
Hexadecimal Color
Hexadecimal Number
Horizontal Line
Imaginary Number
Inequality
Infinity
Integer
Irrational Number
Line