Brian McLogan
Solving a one step equation with all fractions
👉 Learn how to solve one step linear equations. By one step we mean equations that take one step to solve. The one step is the inverse operation needed to isolate the variable such as addition, subtraction, division and multiplication...
Brian McLogan
How to determine the difference between two fractions with same denominators
👉 Learn how to add or subtract fractions with common denominators. When adding or subtracting two or more fractions with common denominators, we add or subtract only the numerator while we keep the denominator the same. We will then...
Brian McLogan
Fraction Misconception: Adding numerator & denominator with unlike denominators
👉 Learn how to add and subtract fractions whose denominators are not the same. Recall that when we want to add or subtract fractions having the same denominator, we add the numerators and retain the (common) denominator. This is...
Brian McLogan
Evaluate the 6 trig functions using the unit circle
👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Brian McLogan
Adding and simplifying two trigonometric fractions
👉 Learn how to simplify rational identities involving addition and subtraction. To simplify rational identities involving addition and subtraction, first, we find the LCM of the denominators which most time is the product of the terms in...
Brian McLogan
Half angle formula cosine
👉 Learn how to evaluate the Sine of an angle using the half-angle formula. The half-angle formula for Sine is helpful when you need to determine the exact value of function given an angle but cannot use a calculator or the angle is not...
Brian McLogan
Simplifying expressions with negative exponents, y^-4, (4/5)^-2
👉 Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating...
Brian McLogan
Learn how to divide functions, rational
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
Factoring out a GCF so that you can apply the difference of two squares
👉Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then...
Brian McLogan
Applying the zero product property to solve the factored form
👉Learn how to solve quadratic equations by factoring. We will focus on factoring special techniques such as the zero product property, difference of two squares, box method and guess and check. Once we have factored the quadratic...
Brian McLogan
Three different ways to solve using difference of two squares, n^2 - 9/25 = 0
👉Learn how to solve quadratic equations by factoring the difference of two squares. We can identify the difference of two squares but looking for binomials that have square terms. Difference of two square quadratic equations is of the...
Brian McLogan
Learn to solve an equation raised to a rational power
👉 Learn how to deal with Rational Powers or Exponents. Exponents are shorthand for repeated multiplication of the same thing by itself. This process of using exponents is called "raising to a power", where the exponent is the "power"....
Brian McLogan
Learn How to Compose Two Rational Functions and Simplify
Learn how to compose two functions where one or both of those functions is/are rational. To compose two functions means to express one of the functions as a function of the other function. This is done by replacing the input variable of...
Brian McLogan
Algebra 2 - Learn how to simplify the quotient of imaginary numbers, 2/3i
In this video playlist you will learn everything you need to know with complex and imaginary numbers 2/3i
Curated Video
Dividing Fractions by Fractions
In this video, students learn how to divide fractions by fractions by thinking about equal sized groups. The teacher explains the concept using visual representations and examples. Students are also reminded to check their answers using...
Curated Video
Understanding Negative Fractions
This video lesson explains different ways to write negative fractions by viewing them as division problems. It covers scenarios where the negative sign can be placed with the numerator, denominator, or the entire fraction.
Curated Video
Swimming Competition (Use equivalent fractions to solve word problems involving subtraction of fractions with like and unlike denominators)
Jason is training for the upcoming national swimming competition. This morning he swam a few laps which totaled seven ninths of a mile. In the evening he swam some more laps which totaled two thirds of a mile. How much different is the...
Curated Video
Representing Fractions Greater than One on a Number Line
In this video, the teacher explains how to represent fractions greater than one using a number line. They demonstrate different ways to show fractions, such as using area models and sets. The teacher also emphasizes the importance of...
Brian McLogan
What are the formulas for arithmetic and geometric sequences
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric...
Brian McLogan
Solving and graphing an inequality by multiplying by a fraction on one side ex 12
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e....
Brian McLogan
How to cross multiply to solve a proportion
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we...
Brian McLogan
Solving an equation with two terms in the numerator
👉 Learn how to solve two step rational linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. A rational equation is an equation containing at least one fraction whose numerator and (or)...
Brian McLogan
Solving an equation with multiple fractions
👉 Learn how to solve two step linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. To solve for a variable in a two step linear equation, we first isolate the variable by using inverse...