Intro to Algebra!
What is algebra?
Algebra is a branch of mathematics in which letters and symbols are used to represent numbers are the relationship between numbers.
Algebra is widely used in maths, in sciences, such as physics, as well as in other areas, such as economics. Formulas for solving a wide range of problems are often given in algebraic form.
Using letters and symbols
Algebra uses letter and symbols. Letters usually represent numbers, and symbols represent operations, such as addition and subtraction. This allows relationships between quantities to be written in a short, generalized way, eliminating the need to give individual specific examples containing actual values. For instance, the volume of a rectangular solid can be written as lwh (which means length x width x height), enabling the volume of any cuboid to be found once its dimensions are known.
Vocabulary:
- Term
The parts of an algebraic expression that are separated by symbols for operations, such as + and -. A term can be a number, a variable, or a combination of both. - Operation
A procedure carried out on the terms of an algebraic expression, such as addition, subtraction, multiplication and division. - Variable
An unknown number or quantity represented by a letter. - Equals
The equal sign means that the two sides of the equation balance each other. - Constant
A number with a value that is always the same. - Expression
An expression is a statement written in algebraic forum, 2 + b in the example below. An expression can contain any combination of numbers, letters, and symbols. (Such as + for addition)
Sidenote on balancing. :3
Basic Rules of Algebra
Like other areas of maths, algebra has rules that must be followed to get the correct answer. For example, one rule is about the order in which operations must be done.Addition and Subtraction
Terms can be added together in any order in algebra. However, when subtracting, the order of the terms must be kept as it was given.
Forgot to add this into the image but... As with adding two terms, three terms can be added together in any order.
Multiplication and Division
Multiplying terms in algebra can be done is any order, but when dividing the terms must be kept in the order they were given.
Thats all for right now. I'll go into further detail in new threads and post link here. :3 Feel free to discuss ect. I MIGHT do requests. It depends.
Thanks guys!