Brian McLogan
Graphing a rational function with discontinuity
π Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Brian McLogan
Overview of Complex Fractions and Solving Rational Equations
π Learn how to simplify a complex fraction. A complex fraction is a fraction with another fraction or fractions in the numerator and/or in the denominator. To simplify a complex fraction is to reduce the fraction in such a way as there...
Brian McLogan
Master Graphing a system of four linear inequalities
Master Graphing a system of four linear inequalities
Brian McLogan
What is synthetic division and how do we set it up
π Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the unknown, the solution for...
Brian McLogan
Determining Factors and Listing the Zeros of a Polynomial Using Synthetic Division
π Learn how to find all the zeros of a polynomial given one rational zero. 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. The zeros of a...
Brian McLogan
Solving a one step equation using multiplication
π 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
Solving a linear system of two equations by graphing
πTo solve a system of equations means to obtain a common x-value and a common y-value that makes the each of the equation in the system true. To solve a system of equations by graphing means to obtain the point of intersection (if any)...
Brian McLogan
When do you know if a relations is in linear standard form
π Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must...
Curated Video
Causation vs. Correlation: Understanding the Difference
In this video explains the difference between correlation and causation. It provides examples to show that just because two variables are correlated, it does not mean that one causes the other. Learn the importance of understanding...
Brian McLogan
Graphing an inequality when the variable is after the inequality sign
π Learn how to graph linear inequalities. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line (dashes) is used...
Brian McLogan
How to solve a linear equation when there are no solutions
π Learn how to solve multi-step equations with parenthesis and variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying...
Brian McLogan
Learn to solve and graph a inequality with a fraction learn two different ways
π 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
Find x and y intercepts of a rational equation not in standard form
π In this playlist you will learn how to graph a linear equation in standard form, slope intercept form as well as when the slope and y intercept are provided. In addition to graphing linear equations we will also learn how to determine...
Brian McLogan
Solving an inequltiy using distributive propery
π 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
Graphing an inequality when it is in standard form ex 14
π Learn how to graph linear inequalities written in standard form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken...
Brian McLogan
How to find the x and y intercept from an equation
π In this playlist you will learn how to graph a linear equation in standard form, slope intercept form as well as when the slope and y intercept are provided. In addition to graphing linear equations we will also learn how to determine...
Brian McLogan
Writing an equation in slope intercept form by multiplying by a fraction ex 12, xβ15=3/4y
π Learn how to write the equation of a line in a point-slope form. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms which we can...
Curated Video
Multi-Paradigm Programming with Modern C++ - Searching and Sorting
Search is the most common operation we perform on data. There are three common types of search: Linear, sorted (binary), and by hash. β’ Linear search is the simplest way to find things, and often the fastest β’ Overview of associative...
Brian McLogan
Solving a literal equation with a variable on the denominator (x+2)/y = 2, for x
π 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
Solving a one step equation using division or multiplying by the reciprocal
π 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
Solve a one step equation using subtraction of fractions
π 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 use substitution to solve a system of equations
πLearn 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 apply synthetic division when the zero is a fraction
π Learn about dividing by synthetic division when the divisor is a fraction. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for...
Brian McLogan
How to Determine the Zeros of a Polynomial
π Learn how to find all the zeros of a polynomial that cannot be easily factored. 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. The zeros...