Brian McLogan
Condensing logarithmic expression into one single expression
👉 Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded...
Brian McLogan
Learn how to determine the domain from a rational function
👉 Learn how to find the domain of rational functions. 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. Thus, to find the domain...
Brian McLogan
Learn to find the values the function is undefined, then write domain
👉 Learn how to find the domain of rational functions. 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. Thus, to find the domain...
Brian McLogan
Determine the domain and range for the square root function
👉 Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Brian McLogan
Review of trigonometry Points on the Unit Circle
👉 Learn about the trigonometric functions using the unit circle. The trigonometric function of an angle is the value of the trigonometric functions of sine, cosine, tangent, cosecant, secant and cotangent of that angle. To use the unit...
Brian McLogan
Using inverse trig properties to solve word problems - Math help
👉 Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to...
Brian McLogan
Learn to write the equation of a hyperbola given vertices and the foci
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
Evaluate sine using the sum and difference formula
👉 Learn how to evaluate the sine of an angle in radians using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...
Brian McLogan
Understand local linearity and formal definitions of the derivative
👉 Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the...
Brian McLogan
Determining the Unit Vector in the Same Direction of a Vector
Learn how to determine the unit vector of a vector in the same direction. The unit vector is a vector that has a magnitude of 1. The unit vector is obtained by dividing the given vector by its magnitude.
Brian McLogan
Operations with grouping symbols
👉 Learn how to add and subtract polynomials by combining like terms. Identifying like terms allows us to combine terms. Like terms are when terms share the same base and power for each variable. When you have like terms you simply apply...
Brian McLogan
Applying the rules of exponents when multiplying two rational expressions
👉 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
Multiply a Monomial by a Polynomial Using Distributive Property
👉 Learn how to multiply polynomials. We apply the distributive property to polynomials by multiplying a monomial to every term in a polynomial. When multiplying monomials it is important that we multiply the coefficients and apply the...
Brian McLogan
Learn How to Simplify the Square Root of a Number by Prime Factorization, Sqrt(81)
👉 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...
Brian McLogan
Learn how to add and subtract the square root of three different numbers
👉 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
Learn to solve a quadratic by the AC method of factoring
we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in separate brackets with x to form the factors...
Brian McLogan
How to apply the quadratic formula to solve for two real solutions
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Brian McLogan
Learn step by step how to solve a system of equations by substitution
👉Learn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Brian McLogan
Learn how to use substitution to solve a system of equations
👉Learn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Brian McLogan
Graphing a compound inequality- Free Online Tutoring
👉 Learn how to solve and graph compound linear inequalities. A compound inequality is an inequality having more than 1 inequality sign. To solve compound inequalities, we use inverse operations, applying the inverse operation to each...
Brian McLogan
Graphing compound inequalities with the conjunction OR
👉 Learn how to solve compound inequalities and graph their solution on a number line. A compound inequality is an inequality having more than 1 inequality sign. To solve compound inequalities, we use inverse operations, applying the...
Brian McLogan
Find the slope between two points when undefined
👉 Learn how to find the slope between two points. The slope of a line is the steepness of the line. The horizontal line has a zero slope while the vertical line has an undefined slope. To determine the slope of a line passing through two...
Brian McLogan
Determine the slope between two points that are fractions
👉 Learn how to find the slope between two points. The slope of a line is the steepness of the line. The horizontal line has a zero slope while the vertical line has an undefined slope. To determine the slope of a line passing through two...
Brian McLogan
How to verify a trigonometric identity by using pythagorean identities
👉 Learn how to verify Pythagoras trigonometric identities. A Pythagoras trigonometric identity is a trigonometric identity of the form sin^2 (x) + cos^2 (x) or any of its derivations. To verify trigonometric expression means to verify...