Brian McLogan
Factoring a binomial using the difference of two cubes
👉 Learn how to factor polynomials using the sum or difference of two cubes. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an...
Brian McLogan
Applying compound interest to find the final value of a deposit over the years
Learn about compound interest. We will look at how to determine the final value, initial value, interest rate and years needed. We will investigate problems compounded continuously, daily, weekly, monthly, quarterly and yearly. These...
Brian McLogan
Expanding logarithmic expressions
👉 Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm...
Brian McLogan
Evaluating the composition of inverse functions trigonometry
👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function,...
Curated Video
Changing the Value of an Expression by Moving Parentheses
Using examples of sandwich-making and car washing, we demonstrate how the placement of parentheses can alter the meaning of the expression and its solution. This lesson highlights the importance of understanding the role of parentheses...
Brian McLogan
Given two points learn how to determine the slope and y intercept ex 2
👉 Learn how to write the equation of a line given two points on the line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents on its variable(s)). There are various forms which...
Brian McLogan
Learn how to solve for x when given a proportion with x and y
👉 Learn how to solve literal equations. A literal equation is an equation where the unknown values are represented by variables. To solve a literal equation means to make one of the variables the subject of the formula. When the literal...
Brian McLogan
What is PEMDAS or GEMDAS
Definitions are very important to your understanding of why and how we use mathematical processes. Without understanding what a process or certain terms mean it is very hard to understand how or why to do something. That is why I want to...
Brian McLogan
Solve a multi step equation with variables on the same side ex 15, 4(3y–1)–5y=–11
👉 Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the...
Brian McLogan
What is the distributive property
👉 Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression...
Brian McLogan
Learn how to apply the distributive property for a basic example, 3(4x - 5)
👉 Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression...
Brian McLogan
Learn how to find the 40th term or an arithmetic sequence given the explicit formula
👉 Learn how to find the nth term of an arithmetic sequence. 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. An arithmetic sequence is a sequence in which...
Brian McLogan
Expanding logarithms with parenthesis
👉 Learn how to expand logarithms using the product/quotient rule. The product rule of logarithms states that the logarithm of a product to a given base is equivalent to the sum of the logarithms of the terms that make up the product to...
Brian McLogan
Expanding logarithmic expressions
👉 Learn how to expand logarithms using the product/quotient rule. The product rule of logarithms states that the logarithm of a product to a given base is equivalent to the sum of the logarithms of the terms that make up the product to...
Brian McLogan
ACT SAT Prep How to determine the midpoint between two coordinate points
ACT SAT Prep How to determine the midpoint between two coordinate points
Brian McLogan
Evaluate cosine sum and difference formula
👉 Learn how to evaluate the cosine of an angle in radians using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...
Brian McLogan
How to subtract two functions
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Brian McLogan
How to find the product of two functions
👉 Learn how to multiply two functions. We will explore the multiplication of linear, quadratic, rational, and radical functions. To multiply two functions, we simply algebraically multiply the rules (contents) of the two functions. We...
Brian McLogan
Math tutorial for solving a system of equations by substitution
👉Learn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Brian McLogan
Learn the steps for solving a system of equations by substitution
👉Learn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Brian McLogan
How to find the discriminant of a quadratic and label the solutions
👉 Learn how to determine the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type...
Brian McLogan
Multiple Examples on Multiplying and Dividing Rational Expressions
Multiple Examples on Multiplying and Dividing Rational Expressions