Summary of the Order of Operations and Use of Parentheses in Algebra
The standard order of operations and the use of parentheses in Algebra are summarized.
System of Two Equations Defined
Definition of a system of equations.
System of Two Equations: A Revenue Graph and a Cost Graph
Using a system of equations to plot a business's break-even point.
Table of Solutions for Equation with Two Variables
Constructing an equation with two variables and using a table to help solve it.
Terms Can Be Grouped Differently
There is often more than one way to group a polynomial expression for factoring. The commutative law can be applied to rearrange the terms into different factorable groups.
Thoroughly Check for Common Factors
Be thorough when checking for common factors, especially when factoring by inspection. You have not factored completely until no common factors remain.
Tools for Solving Word Problems
To solve word problems, carefully consider the problem to establish what you are looking for and give it a label, identify the essential information, then build and solve an algebraic equation based on that information, ..
Translating Word Problems into Inequalities
Translating word problems into inequality statements.
Treating the Numerator and the Denominator as a Package
Numerators and denominators are packages that cannot be broken up, and must first be simplified.
Two Approaches for Dividing Radicals
Two approaches to simplifying radical expressions using division when the radical in the numerator and the radical in the denominator are perfect squares. Another guideline for simplifying radicals is introduced: all fra..