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Curated Video
Derive the Quadratic Formula
In this video I will derive the Quadratic Formula by Completing the Square to the standard form for a quadratic equation. Have you ever wondered where the quadratic formula came from? Do you struggle to understand why such a...
Curated Video
Solving Word Problems with Unlike Fractions Using Fraction Bars
In this video, the teacher explains how to solve story problems involving subtraction of unlike fractions using fraction bars. The example problem involves Tammy's construction company buying bags of gravel and using a fraction of a bag...
Brian McLogan
Solving a one step equation with a mixed number
👉 Learn how to solve a one step equation. An equation is a statement stating that two values are equal. A one step equation is an equation whose solution can be obtained by performing only one step of operation on the equation. To solve...
Brian McLogan
How to subtract a fraction from another when the denominators are the same
👉 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...
Curated Video
Proof of the Quadratic Formula through Completing the Square
The video is a tutorial on the proof of the quadratic formula. The speaker explains the formula and then proceeds to demonstrate how it is derived through the process of completing the square.
Brian McLogan
Verifying trig identities by adding rational terms
👉 Learn how to verify rational trigonometric identities involving the addition and subtraction of terms. 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...
Brian McLogan
Evaluate the sum difference identities of two triangles
👉 Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...
Brian McLogan
Using trig identities to verify an identity
👉 Learn how to verify trigonometric identities involving the addition and subtraction of terms. To do this it is usually useful to convert the addition or subtraction terms in terms of one trigonometric function and then evaluate....
Brian McLogan
How to Evaluate the tangent of double angle using the tangent double-angle formula
👉 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
Multiply Examples on simplifying Complex rational fractions
Multiply Examples on simplifying Complex rational fractions
Brian McLogan
Master adding subtracting multiplying and dividing rational and radical functions
Master adding subtracting multiplying and dividing rational and radical functions
Brian McLogan
Solve rational equation with no solution
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational expressions, one...
Brian McLogan
Multiplying rational expressions
Learn how to multiply rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To multiply two rational expressions, we use the...
Curated Video
Algebraic Simplification: Focus on Fractions
The video is a lecture presentation on algebraic simplification, with a focus on fractions. The instructor explains and demonstrates how to add, subtract, multiply, and divide algebraic fractions through various examples. The video...
Brian McLogan
Writing the standard form of a hyperbola given the foci and asymptotes
Learn how to write the equation of hyperbolas given the characteristics of the hyperbolas. The standard form of the equation of a hyperbola is of the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2...
Brian McLogan
Finding complementary and supplementary angles using radians
👉 Learn how to find the complement and the supplement of a given angle. Two angles are said to be complementary if they add up to 90 degrees (pi/2 in radians) and are said to be supplementary if they add up to 180 degrees (pi in...
Brian McLogan
Learn how to verify a trigonometric identiy using pythagorean identities
👉 Learn how to verify rational trigonometric identities involving the addition and subtraction of terms. 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...
Brian McLogan
Adding two rational expressions to verify a trigonometric identity
👉 Learn how to verify rational trigonometric identities involving the addition and subtraction of terms. 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...
Brian McLogan
How to determine the LCM to allow us to add two rational expressions
Learn how to add/subtract rational expressions with monomials in the denominator. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator...
Brian McLogan
Simplify Trigonometric Expressions | Analytic Trig | Pre-Calculus
In this video I will show you how simplify a trigonometric expression by applying trigonometric identities and algebraic operations. We will discover the quotient, reciprocal, even odd, co-function and Pythagorean identities. We will...
Brian McLogan
Simplifying complex fractions
👉 Learn how to simplify complex fractions. To simplify complex fractions having the addition/subtraction of more than one fractions in the numerator or/and in the denominator we first evaluate the numerator or/and the denominator...
Brian McLogan
Simplify a complex fraction by multiplying the numerator and denominator by the LCD
👉 Learn how to simplify complex fractions. To simplify complex fractions having the addition/subtraction of more than one fractions in the numerator or/and in the denominator we first evaluate the numerator or/and the denominator...
Brian McLogan
Math tutorial for adding two rational expressions
Learn how to add and/or subtract rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. When adding or subtracting rational...
Brian McLogan
Combining rational expression with unlike denominators
Learn how to add and/or subtract rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. When adding or subtracting rational...