Brian McLogan
Applying the quotient rule to simplify a rational expression
π Learn how to simplify expressions using the quotient rule and the negative exponent rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base...
Brian McLogan
Adding and subtracting a radical expression
π 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
Why do we solve using elimination
πLearn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves...
Brian McLogan
Learn how to solve a proportion by applying cross multiplication
π Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we...
Brian McLogan
Linear programming how to optimize the objective function
Learn how to solve problems using linear programming. A linear programming problem involves finding the maximum or minimum value of an equation, called the objective functions, subject to a system of inequalities, called the constraints....
Brian McLogan
Where does logarithmic equations come from
π Learn all about logarithms. The logarithm of a number say a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). The logarithm of a number is...
Brian McLogan
What do you need to know to apply synthetic division
π Learn about dividing by synthetic division. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the unknown, the solution for...
Curated Video
GCSE Secondary Maths Age 13-17 - Algebra: Algebra Basics - Explained
SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow steps. This video...
Brian McLogan
Learn how to identify the vertex and axis of symmetry using completing the square
π Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Brian McLogan
Master Learn how to apply operations with vectors involving dot product and magnitude
Master Learn how to apply operations with vectors involving dot product and magnitude
Brian McLogan
Adding and subtracting the cube root of three radical expressions
π 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
Given three integer zeros write the polynomial function
π Learn how to write the equation of a polynomial when given rational zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The...
Brian McLogan
Graph a system of 4 inequalities with horizontal and vertical
In this video playlist you will learn how to solve a system of equations or inequalities by algebraic methods such as substitution and elimination and graphing. We will then finish the unit by exploring how to optimize an objective...
Brian McLogan
Algebra 2 - When Complex numbers are equal to each other, 5x + 1 + (3 + 2y)i = 2x - 2 + (y - 6)i
In this video playlist I will explain where imaginary and complex numbers come from and how we can use them to help us solve problems. We will also explore the complex property of equality to solve for values of complex numbers. 5x + 1 +...
Brian McLogan
Algebra 2 - Using distributive property to help us subtract two complex numbers, (-3+2i) - (4-3i)
In this video playlist you will learn everything you need to know with complex and imaginary numbers (-3 + 2i) - (4 - 3i)
Curated Video
Subtracting Decimals with Base 10 Blocks
In this lesson, students learn how to subtract decimals using base 10 blocks. They review how base 10 blocks can represent whole numbers and then extend that understanding to represent decimals. By using smart estimates and visual...
Brian McLogan
Subtracting two vectors algebraically and graphically
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...
Brian McLogan
Simplifying an expression with four operations- Online Math Tutor-Simplify
π 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...
Brian McLogan
Apply the order of operations to simplify a large numeric expression
π 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...
Brian McLogan
Finding the values of vertical angles - Online Tutor - Free Math Videos
π Learn how to find the value of an unknown variable in the expressions representing the values of angles given the relationship between the angles. When given expressions representing the values of angles and the relationship between...
Brian McLogan
How to rewrite a negative integer to a fraction
π Learn how to understand the concept of fractions using parts of a whole. Fractions are parts of a whole and this concept can be illustrated using bars and circles. This concept can also be extended to understand equivalent fractions....
Brian McLogan
Tutorial - Given the Cosine of an Angle Determine the Double Angle for Sine, Cosine and Tangent
π Learn how to evaluate the double angle of sine. The value of the sine of double a given angle can be obtained given the value of the sine of the angle. The value of the sine of double a given angle is obtained using the formula sin(2u)...
Brian McLogan
Subtracting a rational trigonometric expression from another
π 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...
Brian McLogan
Solve a system of equation when they are the same line
πLearn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves...