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 Compound Inequalities
Step-by-step demonstration of combining inequalities.
Writing Algebraic Expressions
Introducing different ways to write algebraic expressions.
Writing Expressions in Their Simplest Form
A simplified expression is one in which each base is written only once, there are no negative exponents, and no parentheses. Simplifying an expression makes it easier to solve complex problems, and using the rules for exponents makes simplifying exp...
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.
More than One Base Raised to a Negative Power
The rule for raising a power to a power is applied to an expression in which a monomial in parentheses is raised to a negative power.
Square Root of a Negative Number is Not a Real Number, The
The square root of any negative number is not a real number. Writing a negative number in radical form is illustrated.