Simplifying by Adding or Subtracting Common Radical Factors
A new guideline for simplifying radicals is introduced: the terms in a fully-simplified radical expression must have no common radical factors. Simplifying a radical expression by adding or subtracting common radical factors is illustrated.
Simplifying to Find a Common Radical Factor
The process of simplifying to find a common radical factor is demonstrated.
Practical Problem: The Length of the Spring on a Scale
Using the elimination method to solve a practical problem involving a scale, a spring, and some weights.
Practical Problem: Subtracting Boxes in a Warehouse
A practical problem solved using subtraction in an algebraic expression.
Subtracting Like Terms
Subtracting like terms demonstrated and applied to a practical problem.
Subtracting Rational Expressions
Rational expressions with the same number in the denominator are subtracted.
Solving an Equation by Adding
An explanation of how to solve an algebraic equation by subtracting.
Solving an Equation by Multiplying
An explanation of how to solve an algebraic equation by adding.
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.
Rules for Subtracting Algebraic Expressions
Rules for subtracting one algebraic expression from another and a step-by-step demonstration.