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.
Review of Arithmetic Operations
Explains how algebra is different than simple addition, subtraction and multiplication?
Solving Systems of Equations Using the Elimination Method by Subtraction
Another way to eliminate terms that are additive inverses is by subtraction.
Practical Problem: Boat Speed and River Currents
A word problem involving rate, time, and distance is solved step-by-step using the elimination method.
Introduction to Variables: x 0 = 0
Letters are used in algebraic equations to represent numbers we do not know the value of yet. These are called variables.
Standard Form of a Linear Equation
The standard form for a linear equation is detailed.
Practical Problem: Furniture Salesperson Earnings
Using the slope-intercept form to solve a practical problem involving calculating earnings.
Introduction to Linear Equations with Two Variables
Linear equations with two variables have an infinite number of solutions.
Practical Problem: The Area of a Garden
Using multiplication of polynomials in a practical problem.
Solving Compound Inequalities
How to solve compound inequality problems.