Instructional Video7:54
Brian McLogan

Learn how to convert to vertex form by completing the square and then graph, y=x^2+4x+7

12th - Higher Ed
πŸ‘‰ Learn how to graph quadratic equations by completing the square. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which...
Instructional Video3:05
Brian McLogan

Learn how to evaluate a number raised to a negative rational power

12th - Higher Ed
Learn how to evaluate numbers raised to rational powers. When given a number raised to a rational power, we take the nth root of the number where n is the number in the denominator of the rational power, then we raise the result to a...
Instructional Video3:16
Brian McLogan

Evaluating a number raised to a rational exponent

12th - Higher Ed
Learn how to evaluate numbers raised to rational powers. When given a number raised to a rational power, we take the nth root of the number where n is the number in the denominator of the rational power, then we raise the result to a...
Instructional Video1:31
Brian McLogan

Rename simplify a monomail radical expression

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video3:12
Brian McLogan

How to multiply two decimals by each other

12th - Higher Ed
πŸ‘‰ You will learn how to multiply numbers in decimal form. We will work with decimals that are greater and less than one. When multiplying decimals it is important to line up the decimal point so that you keep the place values of the...
Instructional Video2:57
Brian McLogan

Writing an equation in slope intercept form by multiplying by a fraction ex 12, x‐15=3/4y

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video2:07
Brian McLogan

Solving a one step equation using division or multiplying by the reciprocal

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video2:50
Brian McLogan

Learn how to simplify the expression by applying distributive property twice, 3(y-6)-(y+7)

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video2:04
Brian McLogan

Combining like terms using distributive property ex1, -4y^2 + 9y^2

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video2:15
Brian McLogan

Verifying a trigonometric Identities

12th - Higher Ed
πŸ‘‰ Learn how to verify trigonometric identities by expanding the trigonometric expressions. When the given trigonometric expressions involve multiplications with more than one term in parenthesis, we start by expanding the expressions...
Instructional Video3:12
Brian McLogan

Multiply and use fundamental identities to simplify

12th - Higher Ed
πŸ‘‰ Learn how to simplify trigonometric expressions by factoring, expansion, and re-grouping. To simplify a trigonometric identity means to reduce the identity to the simplest form it can take which may be a number or a simple...
Instructional Video1:53
Brian McLogan

How to verify a basic trigonometric identity

12th - Higher Ed
πŸ‘‰ Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the term on the left hand side of the equality sign is equal to the term on the right hand side. To...
Instructional Video2:27
Brian McLogan

How to use the pythagorean identities to simplify a trigonometric expression

12th - Higher Ed
πŸ‘‰ Learn how to simplify trigonometric expressions by factoring, expansion, and re-grouping. To simplify a trigonometric identity means to reduce the identity to the simplest form it can take which may be a number or a simple...
Instructional Video2:40
Brian McLogan

How to simplify a trig expression

12th - Higher Ed
πŸ‘‰ Learn how to simplify rational identities involving addition and subtraction. To simplify rational identities involving addition and subtraction, first, we find the LCM of the denominators which most time is the product of the terms in...
Instructional Video5:01
Brian McLogan

Solving a trigonometric equation with secant

12th - Higher Ed
πŸ‘‰ Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together...
Instructional Video1:56
Brian McLogan

Writing the reciprocal of a fraction to write an expression with a positive power

12th - Higher Ed
πŸ‘‰ Learn how to simplify expressions using the power rule and the negative exponent rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual...
Instructional Video2:17
Brian McLogan

The Easy Way to Simplify the Square Root of a Number, Sqrt(45)

12th - Higher Ed
πŸ‘‰ Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to...
Instructional Video2:54
Brian McLogan

Subtracting radical numbers after simplifying

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video2:22
Brian McLogan

Simplifying a rational expression

12th - Higher Ed
πŸ‘‰ Learn how to apply the rules of exponents to simplify an expression. We will focus on applying the product rule, quotient rule as well as power rule. We will then explore multiple properties such as power to product, power to quotient...
Instructional Video3:11
Brian McLogan

Dividing one rational monomial by another monomial and simplify

12th - Higher Ed
πŸ‘‰ Learn how to simplify expressions by dividing its terms. Remember that dividing a fraction is the same as multiplying by the reciprocal. When multiplying expressions, each individual term of the expression is multiplied to its like...
Instructional Video3:07
Brian McLogan

Learn how to solve a quadratic by applying the difference of two squares

12th - Higher Ed
πŸ‘‰Learn how to solve quadratic equations by factoring the difference of two squares. We can identify the difference of two squares but looking for binomials that have square terms. Difference of two square quadratic equations is of the...
Instructional Video6:41
Brian McLogan

Graphing a quadratic function by finding the vertex and x - intercepts

12th - Higher Ed
πŸ‘‰ Learn how to graph quadratic equations by completing the square. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which...
Instructional Video10:34
Brian McLogan

Apply Transformations to Functions

12th - Higher Ed
Apply Transformations to Functions
Instructional Video3:51
Brian McLogan

How to find the intersection of a system of equations by graphing

12th - Higher Ed
πŸ‘‰To 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)...