Brian McLogan
Using completing the square to identify focus, directrix and vertex of a parabola
Learn how to graph a parabola in when it is given in general form. To graph a parabola in conic sections we will need to convert the equation from general form to standard form by completing the square. Once it is in standard form we can...
Brian McLogan
Identifying vertical and horizontal shifts of functions
👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Brian McLogan
How to evaluate for cosine using the sum and difference identities
👉 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
Applying the rules of exponents when multiplying two rational expressions
👉 Learn how to simplify expressions by multiplying its terms. When multiplying expressions, each individual term of the expression is multiplied to its like term and the exponents are evaluated using the product rule, the quotient rule...
Brian McLogan
Finding the slope and y intercept by putting an equation in slope intercept form, 6x-3y=18
👉 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...
Brian McLogan
Determine the slope between two points that are fractions
👉 Learn how to find the slope between two points. The slope of a line is the steepness of the line. The horizontal line has a zero slope while the vertical line has an undefined slope. To determine the slope of a line passing through two...
Brian McLogan
What does inverse operations mean
👉 Learn all about the processes and definitions for solving linear equations. You will gain a better understanding about the vocabulary and steps used to solve liner equations such as how to isolate an equation and apply inverse...
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 a two-step equation when your variable is being divided
👉 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...
Curated Video
Dividing Exponential Expressions with Exponents in the Denominator
In this video, the teacher explains how to divide exponential expressions when the exponent in the denominator is greater than or equal to the exponent in the numerator. They demonstrate the concept using examples and emphasize the...
Curated Video
Expanding Numbers to Add or Subtract: Using Expanded Form
In this lesson, students learn how to expand a number to add or subtract 10 or 100 using expanded form. The teacher explains the concept by breaking down numbers into their place values and demonstrates how to perform the operations...
Brian McLogan
Pre-Calculus - Adding rational complex numbers- Online Math Tutor 2 / (1+i) - 3/(1-i)
In this math tutorial I will show you how to add and subtract complex numbers. You will learn the steps in adding rational complex numbers and rational expressions with imaginary. Like polynomials when adding complex numbers we can only...
Brian McLogan
Evaluating the partial sum of a arithmetic series
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic...
Brian McLogan
How do we solve a system of linear equations using any method
Learn how to solve a system of equations by using any method such as graphing, elimination and substitution. 7x+5y= -12, 3x-4y=1
Brian McLogan
Algebraic phrases to expressions using increased by a number increased by 9
👉 Learn how to write an algebraic expression from verbal sentence as well as writing out a sentence from a algebraic expression. To do this we need to know what words we use to express operations such as addition, multiplication,...
Brian McLogan
Solving an equation with the variable on the same side
👉 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...
Brian McLogan
Solving a two step equation of decimals
👉 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...
Brian McLogan
Learning how to find the measure of a minor arc for a circle
Learn how to solve problems with arcs of a circle. An arc is a curve made by two points on the circumference of a circle. The measure of an arc corresponds to the central angle made by the two radii from the center of the circle to the...
Brian McLogan
How to use the long division algorithm with numbers and a remainder
👉 In this video series you will learn how to divide integers. We will discuss basic division and then move to division using long division. Integers will be single digit as well as multi-digit problems. When a number the divisor does not...
Brian McLogan
Condensing mulitple logarithms
👉 Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded...
Brian McLogan
Simplify an expression by adding and subtracting radical terms
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Brian McLogan
Learning to subtract a trinomial from a binomial
👉 Learn how to add and subtract polynomials by either using the vertical or horizontal method.
Brian McLogan
Learn how to use quadratic formula to determine the roots of an equation
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Brian McLogan
Solving systems of equations tutorial with 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...