Catalyst University
Thermodynamic Parameters of Mixing | Example Calculations #1
In this video, I show you example calculations for ΔG, ΔS, ΔH, ΔV, all of mixing.
Brian McLogan
Subtracting a negative from a negative, -4 - (-4)
👉 You will learn how to add and subtract integers. We will work through adding and subtracting two integers up to multiple integers. We can look at adding and subtracting integers by looking at there values on a number line where there...
Brian McLogan
Learn how to solve a two step inequality with a fraction
👉 Learn how to solve two-step linear inequalities and graph their solution. When solving two step inequalities we will use inverse operations, reverse order of operations and the properties of equality to solve. We will then graph our...
Brian McLogan
How to solve a multi step equation with a variable on both sides
👉 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
What is the reflection of a trigonometric cosine graph
👉 Learn the basics to graphing sine and cosine functions. The sine graph is a sinusiodal graph with x-intercepts at x = 2n*pi, maximun value of 1 at x = pi/2 + 2n*pi and minimum value of -1 at x = -pi/2 + 2n*pi. The cosine graph is a...
Brian McLogan
Solving a multi step equation using distributive property
👉 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
Multiplying two numbers positive and negative, 4 . (-3)
👉 You will learn how to multiply integers from one digit to multiple digits. When multiplying it is important to understand that multiplication is just repeated addition. However with multi-digit numbers we will follow a step by step...
Brian McLogan
How to factor a trinomial when your middle and constant terms are positive
👉Learn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions that can be multiplied together to get...
Brian McLogan
Solving an equation by using the square root property - Math help
👉Learn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
Divide two rational expressions by simplifying
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the...
Brian McLogan
How to use Descartes rule of signs to determine the number of positive and negative zeros
👉 Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also...
Curated Video
Graphing Lines in Point-Slope Form
In this video, mathematicians will learn how to graph lines in point-slope form by identifying a point and the slope. The lesson explains the formula for point-slope form and demonstrates how to graph equations using this method....
Brian McLogan
Solving a two step inequality when the variable is on the right
👉 Learn how to solve two-step linear inequalities and graph their solution. When solving two step inequalities we will use inverse operations, reverse order of operations and the properties of equality to solve. We will then graph our...
Brian McLogan
Applying distributive property to solve and graph an inequality
👉 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
Learn the ac method for factoring and solving a quadratic equation
we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in separate brackets with x to form the factors...
Brian McLogan
Find all the possible real positive, real negative and complex zeros of a polynomial
👉 Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also...
Curated Video
Simplifying Square Roots of Negative Numbers with Imaginary Unit i
In this video lesson, students will learn how to write the square root of a negative number using the imaginary unit i. The lesson explains the difference between real and imaginary numbers and demonstrates how to simplify square roots...
Brian McLogan
Solving and graphing a one step inequality
👉 Learn how to solve one step inequalities. When solving one step inequalities we will use inverse operations to isolate the variable. To represent our solution we will graph on the number line and use open and closed points based on the...
Brian McLogan
Taking the root of a negative expression to an even power, root
👉 Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we...
Brian McLogan
Pre-Calculus - Solving a logarithmic equation by using factoring log3(x) + log3(x-8) = 2
In this video series I show you how to solve logarithmic and natural logarithmic equations. When solving logarithmic equations it is important to isolate the function and then change to exponential form or use logarithmic properties....
Brian McLogan
How to use a table to graph logarithmic function
👉 Learn how to graph logarithmic functions. The logarithmic function is the inverse of the exponential function. To graph a logarithmic function, it is usually very useful to make the table of values of the function. This is done by...
Brian McLogan
Find the Range Using the Inverse | Part 3
The easiest way to find the range of a function is to find the domain of the inverse. The reason why this works is because the relationship between the domain of a function and the inverse of the function.
Brian McLogan
Solving an equation with variables on both side and one solution
👉 Learn how to solve multi-step equations with 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 multiple steps of...
Brian McLogan
Solving an equation with a variable on both sides one solution (g+4)–3g=1+g
👉 Learn how to solve multi-step equations with 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 multiple steps of...