Precalculus For High School And College Level Students

In this video, I will go over what do linear function look like graphically. I will go over the different equations related to linear function, and go over quiz 1

In this video, I will go over how to find the slope of a linear line when given two coordinates or an equation. I will go over slope formula.

In this video, I will go over quiz 2.

In this video I will explain how to graph a linear function in two ways. The rise/run method or finding x and y intercept and graphing those two points.

This is part 2 of graphing linear function.

In this section, I determine if a graph is a function by using the vertical line test and definition of a function. I will go over independent and dependent variables.

In this section, I will go over the relationship between one-to-one functions and inverses. I will determine if a function is one-to-one, and the properties of inverses. Finally, I will go over the steps in finding inverses.

In this section, I will go over: sum, difference, product, quotient of functions. Then, I will go over composition like fog and gof, and fof.

In this video, I will go over the different variation models such as: direct variation, inverse variation, joint variation.

In this video I will go over what is a piecewise graph, and how to properly graph a piecewise graph.

This is part 2 of graphing piecewise function.

In this video I will go over a quiz on piecewise function.

In this video I will introduce the square root graph with it's translation, reflection, and stretch.

This is part 2 of graphing square root graphs.

In this video I will go over a quiz on piecewise function.

In this video I will go over the polynomial graph, and how to properly graph a polynomial.

In this video, I will go over all the steps of graphing exponential function with it's reflection, shifts, stretch and shrink.

In this video, I will go over the quiz graphing exponential function.

In this video I will go over all the steps of graphing a logarithmic graph with it's shift, reflection, stretch and shrink.

In this video I will go over the quiz graphing logarithmic function.

In this video, I will go over how to find least common denominator.

This is part 2 of finding lowest common denominator.

In this video I will go over the quiz on least common denominator.

In this video I will go over solving for equations involving fraction.

This is part 2 solving for equation in fraction form.

In this video, I will go over more complex problems for solving equations in fraction form.

In this video I will go over quiz on more on solving equation in fraction form.

In this video, I will go over the steps for solving equations in non-rational form.

This is part 2 of solving equation in non rational form.

In this video, I will go over quiz solving equation in non rational form.

In this video, I will introduce what a quadratic graph will look like graphically and its characteristics.

In this video, I will go over graphing a quadratic function in vertex form.

This is part 2 graphing quadratic functions in vertex form.

This is part 3 graphing quadratic function in vertex form.

In this video, I will graph a quadratic function in standard form.

This is part 2 graphing quadratic function in standard form.

In this video quiz I will find vertex of the quadratic function in standard form.

In this video I will convert standard form to vertex form by completing the square.

This is part 2 of converting standard form to vertex form by completing the square.

In this quiz I will convert standard form to vertex form by completing the square.

In this video I will find and graph quadratic function in x-intercept form.

In this video I will go over quiz 5.

In this video I will go over word problems involving quadratic functions.

This is part 2 of word problems involving quadratic functions.

In this video I will go over quiz 6 word problem involving quadratic function.

In this section, I determine if a system of linear equations in two variables are: independent, inconsistent, or dependent. I went over substitution, and elimination which are the two ways of solving systems of linear equations in two variables. Also I solved a word problem using two variables and a system of two equations.

In this section, I will solve a systems of linear equation in three variables by: elimination, substitution, and the linear algebra way. For the linear algebra way, I will put it in reduced row echelon form, and use row of operation.

In this section I will solve a system of equations in two or three variables using cramer's rule. I will also find the determinant of a 2 by 2 matrix, and 3 by 3 matrix.

In this section, I will solve linear inequalities, and graph it on a number line. I will put linear inequality in interval notation, and go over the difference between union and intersection.

In this section, I will go over the definition, and properties of absolute value equations and inequalities. I will: solve, interpret geometrically, and graph absolute value inequalities. I will put answers in both inequality notation and interval notation. Finally, I will solve an absolute value problem with two cases.

In this video, I will introduce partial fraction decomposition, and a linear factor decomposition.

In this video, I will decompose a partial fraction with a repeating linear factor.

In this video, I will decompose a partial fraction with a nonrepeating linear and quadratic factor.

In this section, I will decompose into partial fraction with repeating quadratic factor.

In this section, I will go over the steps in solving both quadratic and rational inequality using test-point method. Finally, I will put answer in interval notation, and on number line.

In this section, I went over the difference between geometric and arithmetic sequences. I went over the nth formula for both geometric and arithmetic sequences. I went over common ratio, differences, and recursive formula.

In this section, I found the sum of arithmetic series, and found the sum of infinite geometric series. Also give a geometric series, I put it in summation notation.

In this video, I will go over why we factor and the difference between factoring and solving for x-intercept.

In this video, I will go over quiz 1 for factoring.

In this video, I will go over how to factor polynomial when the a=1 also known as simple factoring.

In this video I will go over quiz 2 on simple factoring.

In this video, I will go over bottom up factoring or when the a value is greater than 1.

I will go over quiz 3 bottom up factoring.

In this video, I will introduce factoring by grouping.

In this video, I will go over quiz 3 on factoring by grouping.

In this video, I will go over how to find zeros using quadratic formula.

I will go over quiz 4 finding zeros using quadratic formula.

In this video I will go over factoring a difference of two cubes.

This is part 2 of factoring a difference of two cubes.

In this video, I will go over quiz 6 on factoring a difference of two cubes.

In this video, I will go over factoring a sum of two cubes.

This is part 2 factoring a sum of two cubes.

In this video I will go over quiz 7 factoring using a sum of two cubes.

In this video, I will introduce factoring out greatest common factor.

This is part 2 of factoring out greatest common factor.

In this video, I will go over quiz 8 factoring out greatest common factor.

In this video, I will introduce rational zero theorem and synthetic division.

This is part 2 of factoring polynomial using rational zero theorem and synthetic division.

This is part 3 factoring polynomial using rational zero theorem and synthetic division.

In this video, I will go over quiz 9 factor using rational zero theorem and synthetic division.

This is part 1 of practice problems for factoring.

This is part 2 of practice problems for factoring.

This is part 3 of practice problems factoring.