Working With the Discriminant First
Work with the discriminant first because it determines whether or not the equation has a solution. If the discriminant is positive, the equation has two solutions. If the discriminant is negative, the equation has not solution. Examples of both are ...
Word Problems Simplified by Using Algebra
How to translate word problems into algebraic equations.
A System with No Solution and a System with Infinite Solutions
Presented is a system of equations to which there is no solution the lines are parallel and a system of equations to which the solution is coincident lines the two equations share the same, infinite number of solutions.
Writing Algebraic Expressions
Introducing different ways to write algebraic expressions.
Writing an Equation for a Word Problem
Develop and solve an equation based on the information provided in a word problem.
Equation Defined
The definition of an equation.
Multiplicative Inverses
Every number has an additive inverse. The concept of inverses in algebra is explained and the use of additive inverses is demonstrated.
Using the Discriminant to Calculate Income from Mug Sales
Using the discriminant to solve a practical problem involving the pricing of mugs for greatest profit.
Using the Least Common Denominator to Solve an Equation
Review of the procedure for solving equations that contain rational expressions.
When to Factor Instead of Using the Quadratic Formula
It makes sense to factor instead of using the quadratic formula when it's easy to find two numbers whose sum is the same as the middle term's coefficient and whose product is equal to the leading coefficient multiplied by the last term. An example i...