Brian McLogan
Learn how to use brackets to help us expand a logarithmic expression
👉 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
What happens to the domain with a radical in the denominator
👉 Learn how to find the domain of rational functions with a radical denominator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero...
Brian McLogan
Sketch a triangle given a trig angle then determine remaining trig functions of angle
👉 Learn how to evaluate the six trigonometric functions given the value of one of the trigonometric functions. When given the value of one of the trigonometric functions of an angle, we can evaluate the values of the other trigonometric...
Brian McLogan
How to evaluate your six trig terms for an angle
👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Brian McLogan
Learn how 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
Simplify a complex fraction
👉 Learn how to simplify complex fractions. To simplify complex fractions having a fraction as the numerator and another fraction as the denominator we first factor the expressions that can be factored and then we multiply the fraction in...
Brian McLogan
How to evaluate a limit with fraction in the numerator and denominator
How to evaluate a limit with fraction in the numerator and denominator
Brian McLogan
Learn how to not follow PEMDAS and still simplify an expression with the rules of exponents
👉 Learn how to simplify expressions by multiplying its terms. When multiplying expressions, each individual term of the expression is multiplied to its like term and the exponents are evaluated using the product rule, the quotient rule...
Brian McLogan
Find the product of the cube root of two variable expressions
👉 Learn how to multiply radical expressions. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the...
Brian McLogan
Using the rules of exponents to simplify an expression
👉 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
Simplifying a rational expression using the property of exponents
👉 Learn how to simplify expressions using the quotient 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 and an exponent which is the...
Brian McLogan
Learning to rationalize the denominator so that you can simplify a radical expression
👉 Learn how to find the square root of rational expressions. To find the square root of a rational expression, we first express the rational expression as the square root of the numerator divided by the square root of the denominator....
Brian McLogan
How to rationalize the denominator with a radical
👉 Learn how to find the square root of rational numbers. To find the square root of a rational number, we first express the rational number as the square root of the numerator divided by the square root of the denominator and simplify....
Brian McLogan
Applying the quotient rule to simplify a rational expression
👉 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
Solve a quadratic by factoring out GCF
👉Learn 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
Determining if a equation is a polynomial or not
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a...
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
Learn how to simplify an expression with rational exponents using power to quotient rule
👉 Learn how to simplify rational powers using the power and the quotient rules. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the quotient law which states...
Brian McLogan
Dividing rational expressions
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
Multiplying two exponents with rational powers, then simplifying
👉 Learn how to multiply with rational powers. To multiply two or more numbers/expressions with rational exponents, we apply the basic rules of exponents. If the two numbers/expressions are the same, we simply take one of the number and...
Brian McLogan
Identify the horizontal and vertical asymptotes of a rational function
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Brian McLogan
Adding and subtracting the cube root of three radical expressions
👉 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 x and y intercepts of a rational function
👉 Learn how to find the x and y-intercepts of a rational function. The x-intercept(s) of a function occurs when y = 0 and the y-intercept(s) of a function occurs when x = 0. To find the y-intercept of a function, we plug in zero for x...
Curated Video
KS2 Primary Maths Age 13-17 - Fractions, Decimals and Percentages: Adding and Subtracting Fractions - Explained
SchoolOnline's Primary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 9-13, they cover every key topic and sub topic covered in Maths in clear and easy to follow steps. This video looks at...