Introduction to Solving EquationsA series of free Basic Algebra Lessons. In this lesson we will learn
Defining Variables Variables are used throughout math after Algebra, and are important to understand. A defining variable is a symbol, such as x, used to describe any number. When a variable is used in an function, we know that it is not just one constant number, but that it can represent many numbers. Variables are instrumental in understanding problems relating to graphing.
Additive and Multiplicative Inverses Inverses, like the additive inverse or multiplicative inverses, are important for understanding how to cancel terms when solving for variables in equations and formulas. When a number is added to its additive inverse, the result zero. This is useful for getting rid of terms. When a number is multiplied to its multiplicative inverse, the result is 1. This is useful for getting rid of fractions.
Simplifying Expressions and Combining Like Terms Expressions are put into their simplest form so as not to be confusing or too complex. One way of simplifying expressions is to combine like terms. By combining terms we can shorten and simplify our expressions, making them easier to read. Like terms often contain the same variable or variables. More examples on collecting like Terms More examples on Simplifying Algebraic Expressions
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