Practice problems

We discuss symmetry about the x-axis, y-axis and the origin and we give methods for determining what, if any symmetry, a graph will have without having to actually graph the function. In addition, we introduce the concept of function composition.

We introduce the standard form of the circle and show how to use completing the square to put an equation of a circle into standard form. Solving Logarithm Equations — In this section we will discuss a couple of methods for solving equations that contain logarithms.

Due to the nature of the mathematics on this site it is best views in landscape mode. In addition, we discuss a subtlety involved in solving equations that students often overlook.

This will allow us to use the method of Gauss-Jordan elimination to solve systems of equations. We will also look at transformations of functions and introduce the concept of symmetry.

Parabolas — In this section we will be graphing parabolas. Rational Inequalities — We continue solving inequalities in this Practice problems.

Quadratic Equations, Part I — In this section we will start looking at solving quadratic equations. Nonlinear Systems — In this section we will take a quick look at solving nonlinear systems of equations.

We will also formally define a function and discuss graph functions and combining functions. Click on the "Solution" link for each problem to go to the page containing the solution.

The Definition of a Function — In Practice problems section we will formally define relations and functions.

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More on the Augmented Matrix — In this section we will revisit the cases of inconsistent and dependent solutions to systems and how to identify them using the augmented matrix method. Preliminaries - In this chapter we will do a quick review of some topics that are absolutely essential to being successful in an Algebra class.

Applications — In this section we will look at a couple of applications of exponential functions and an application of logarithms. If your device is not in landscape mode many of the equations will run off the side of your device should be able to scroll to see them and some of the menu items will be cut off due to the narrow screen width.

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We will give a procedure for determining which method to use in solving quadratic equations and we will define the discriminant which will allow us to quickly determine what kind of solutions we will get from solving a quadratic equation.

We will also take a quick look at using augmented matrices to solve linear systems of equations. However, if we are not able to factor the polynomial we are unable to do that process.

Applications of Quadratic Equations — In this section we will revisit some of the applications we saw in the linear application section, only this time they will involve solving a quadratic equation. Linear Inequalities — In this section we will start solving inequalities.

Collectively these are often called transformations and if we understand them they can often be used to allow us to quickly graph some fairly complicated functions. In addition, we discuss how to evaluate some basic logarithms including the use of the change of base formula.

We introduce the standard form of a hyperbola and how to use it to quickly graph a hyperbola. We give the basic properties and graphs of logarithm functions. We will illustrate these concepts with a couple of quick examples Lines — In this section we will discuss graphing lines.

As we will see we will need to be very careful with the potential solutions we get as the process used in solving these equations can lead to values that are not, in fact, solutions to the equation.

The quadratic formula is a quick way that will allow us to quickly solve any quadratic equation. Solving Equations and Inequalities - In this chapter we will look at one of the most important topics of the class.

We will discuss how to reduce a rational expression lowest terms and how to add, subtract, multiply and divide rational expressions. We will give some of the basic properties and graphs of exponential functions.

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Polynomials — In this section we will introduce the basics of polynomials a topic that will appear throughout this course. Rational Expressions — In this section we will define rational expressions.

Radicals — In this section we will define radical notation and relate radicals to rational exponents. We will use the method with systems of two equations and systems of three equations.

Note as well that the discussion here does not cover all the possible solution methods for nonlinear systems.In order to become skilled in mathematics you need to practice! Try a workout of 10 problems.

If you get at least 8 correct on your first attempt, then you're ready to move on.


Five sets of free The ACT Math practice test questions that you can use to familiarize yourself with the test instructions and format.

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Students, teachers, parents, and everyone can find solutions to their math problems instantly. Aug 24,  · To see all my Chemistry videos, check out We'll practice solving density example problems.

We'll look at how to use the density. Bored with Algebra? Confused by Algebra? Hate Algebra? We can fix that. Coolmath Algebra has hundreds of really easy to follow lessons and examples. Algebra 1, Algebra 2 and Precalculus Algebra.

Practice problems
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