Brian McLogan
Graphing a linear system of linear inequalities
π Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making...
Brian McLogan
Find the derivative using quotient rule inside of the product rule
π Learn how to find the derivative of a function using the quotient rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...
Brian McLogan
Learn how to solve a word problem using square roots, velocity and distance
π Learn how to solve literal equations involving formulas. 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...
Brian McLogan
Learn the basics to expanding a logarithmic expression
π 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
How to solve a logarithmic equation using the quotient property
π Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
Find the foci vertices and center of an ellipse by completing the square
Learn how to graph horizontal ellipse which equation is in general form. A horizontal ellipse is an ellipse which major axis is horizontal. When the equation of an ellipse is written in the general form, we first rewrite it in standard...
Brian McLogan
SAT ACT Prep How to determine the 46 digit of a fraction
SAT ACT Prep How to determine the 46 digit of a fraction
Brian McLogan
How to use the half angle of cosine when given a triangle
π Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function...
Brian McLogan
Find and classify the discontinuity of the rational function
π Learn how to classify the discontinuity of a function. A function is said to be discontinuos if there is a gap in the graph of the function. Some discontinuities are removable while others are non-removable. There is also jump...
Brian McLogan
Find the magnitude and direction of a vector
Learn how to determine the magnitude and direction of a vector. The magnitude of a vector is the length of the vector. The magnitude of a vector is obtained by taking the square root of the sum of the squares of the components of the...
Brian McLogan
How to find the antiderivative using a negative exponent
π Learn how to find the antiderivative (integral) of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as...
Brian McLogan
How to evaluate the definite integral of absolute value
π Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Brian McLogan
Factoring out the GCF to solve a quadratic equation
πLearn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...
Brian McLogan
Summary for solving a quadratic by factoring using various methods
πLearn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic...
Brian McLogan
Graphing a system of two inequalities to determine the feasible region
π Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making...
Brian McLogan
Learn how to graph a system of linear inequalities in standard form
π Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making...
Brian McLogan
Solving a compound inequality or statement- Free Online Tutoring
π Learn how to solve compound inequalities and graph their solution on a number line. A compound inequality is an inequality having more than 1 inequality sign. To solve compound inequalities, we use inverse operations, applying the...
Brian McLogan
Learn how to solve and graph a one step inequality
π 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
How to determine the height of a triangle when given the area
π Learn how to find the area and perimeter of triangles. A triangle is a shape of three sides. The area of a shape is the measure of the portion enclosed by the shape while the perimeter of a shape is the measure of the outline enclosing...
Brian McLogan
What are complementary angles
π Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles,...
Brian McLogan
How to divide two numbers using long division and label the parts
π 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
Misconception not multiplying your numerators when finding equivalent fractions
π 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
Double and Half Angle Formulas | Analytic Trig | Pre-Calculus
In this video we will explore how to use the double angle to evaluate trigonometric expressions from triangles as well as angles in degrees and radians. We will then use double angle formulas to help verify trigonometric identities and...
Brian McLogan
Determining the resultant vectors with a scalar
Learn how to determine the resultant vector by adding, subtracting and multiplying vectors by a scalar. We will also learn how to graph the resultant vectors to show the operations. Vectors can be added, subtracted and multiplied. To add...