Solving Radical Equations(This lesson will work primarily with radicals that are square roots.)A “radical” equation is an equation in which the variable is hiding inside a radical symbol (in the radicand). To solve radical equations: 1. Isolate the radi…

Exponential EquationsAn exponential equation is one in which a variable occurs in the exponent.An exponential equation in which each side can be expressed in terms of the same base can be solved using the property: \(b^x\) = \(b^y\) then x=yIf the bases …

Exponential ExpressionsAn exponential expression is one which contains an exponent.Since we have already dealt with many exponential expressions in the unit on “Negative and Fractional Exponents”, this section will be devoted to working with exponential …

Factor by GroupingThis lesson will utilize Factoring by Grouping as an efficient method of factoring a polynomial whose leading coefficient is NOT “1” .Factor by Grouping In step (3) the order of the center terms does not matter, as the problem will fact…

Irrational ApproximationsAn irrational number is a non-repeating, non-terminating decimal. It’s decimal representation, is an approximation of its value. Irrational numbers are rounded when written in decimal form.We can take advantage of the square root…

Types of SentencesOne of the goals of studying mathematics is to develop the ability to think critically. The study of critical thinking, or reasoning, is called logic.All reasoning is based on the ways we put sentences together. Let’s start our examinat…

Solving Rational InequalitiesA rational inequality is an inequality which contains a rational expression. When solving these rational inequalities, there are steps that lead us to the solution.To solve Rational Inequalities: (1) Write the inequality as a…

Using Your Calculator with Signed NumbersIf your scientific calculator has the  you can use it to find the opposite of a number.On most scientific calculators, this key is pressed AFTER the number is entered.On most graphing calculators, this key is pre…

Correct Scientific NotationScientific NotationScientific Notation is a way to express very small or very large numbers.Scientific Notation is most often used in “scientific” calculations where the analysis must be very precise.Scientific Notation consis…

How To Find The Area Of A Segment Of A CircleArea of the sector OPRQ = Area of the segment PRQ + Area of ∆OPQ ⇒  Area of  segment PRQ = \(\left\{ \frac{\pi }{360}\times \theta -\sin \frac{\theta }{2}\cos \frac{\theta }{2} \right\}{{r}^{2}} \)Read More:…