Brian McLogan
Learn how to add two radical expressions together
👉 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
How to find the product of two functions
👉 Learn how to multiply two functions. We will explore the multiplication of linear, quadratic, rational, and radical functions. To multiply two functions, we simply algebraically multiply the rules (contents) of the two functions. We...
Brian McLogan
Factoring an expression with a greater than one and two square variables 8x^2 -6xy -9y^2
👉Learn how to factor quadratics when the coefficient of the term with a squared variable is not 1. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. To...
Brian McLogan
Rewriting a system of equations to align the variables apply the addition method
👉Learn 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
Understanding transformations of quadratics in vertex form
👉 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...
Brian McLogan
Dividing two rational expressions by multiplying by the reciprocal
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the...
Brian McLogan
How to the properties of exponents compare with logarithms
👉 Learn all about the properties of 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...
Brian McLogan
Algebra 2 - Simplifying a complex number by multiplying by i on the top and bottom, 5/i
In this video playlist you will learn how to simplify complex numbers under a radical as well as raised to a higher power. You will learn to add, subtract, multiply and divide complex numbers to write in simplified standard form. When...
Brian McLogan
How to take the odd root of a negative integer, cube root
👉 Learn how to find the cube root of a number. To find the cube root of a number, we identify whether that number which we want to find its cube root is a perfect cube. This is done by identifying a number which when raised to the 3rd...
Brian McLogan
Solve a simple liteeral equation by using division property of equality ex 21, D=rt; r
👉 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
Multiply a whole equation by LCD to solve an equation with fractions, (1/4)x+(2/3)=(5/6)
👉 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
Evaluate an expression with one variable ex 5, 2(x - 3) - 5; x=-1
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to...
Brian McLogan
Learn how to evaluate an algebraic expression, 3x^2 - 2yx - x + 4; x = -1 and y = -2
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to...
Brian McLogan
How to classify a triangle using the Pythagorean inequality Theorem ex 2
👉 Learn how to classify triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of its angles or on the basis of its side lengths. The classification of triangles on the bases of its angles are: acute,...
Brian McLogan
How to determine the difference between two fractions with same denominators
👉 Learn how to add or subtract fractions with common denominators. When adding or subtracting two or more fractions with common denominators, we add or subtract only the numerator while we keep the denominator the same. We will then...
Brian McLogan
Solving an exponential equation using the one to one property 16^x + 2 = 6
👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both...
Brian McLogan
Determining the inverse of exponential and logarithmic functions ex 2, y = 7^x
👉 Learn how to convert exponential equations to logarithmic equations. The logarithm of a number in a given base is the index/exponent to which the base must be raised to obtain the given number. In other words, log [base a] of x = m...
Brian McLogan
Applying quotient rule of logarithms to solve the equation, log2 (x+4) - log2 (x-3)=3
👉 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
Simplifying expressions with negative exponents, y^-4, (4/5)^-2
👉 Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating...
Brian McLogan
What does it mean to combining like terms with roots
👉 Learn the basics of simplifying radicals. A radical is an expression having the root/radical symbol. A radical expression can also be rewritten as an expression with fractional/rational exponent. The number outside the radical symbol...
Brian McLogan
Taking the root of a negative expression to an even power, root
👉 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...
Brian McLogan
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
Using two multiplier to solve using elimination 5g + 4k = 10, -3g - 5k = 7
👉Learn 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...