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Home About Contact Disclaimer Help. Expression Equation Inequality Contact us. Math solver on your site. What can QuickMath do? The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and cancelling common factors within a fraction.
The equations section lets you solve an equation or system of equations. You can usually find the exact answer or, if necessary, a numerical answer to almost any accuracy you require. 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.
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. Equations Reducible to Quadratic Form — Not all equations are in what we generally consider quadratic equations.
However, some equations, with a proper substitution can be turned into a quadratic equation. These types of equations are called quadratic in form. In this section we will solve this type of equation. Equations with Radicals — In this section we will discuss how to solve equations with square roots in them. 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.
Linear Inequalities — In this section we will start solving inequalities. We will concentrate on solving linear inequalities in this section both single and double inequalities. We will also introduce interval notation. Polynomial Inequalities — In this section we will continue solving inequalities.
However, in this section we move away from linear inequalities and move on to solving inequalities that involve polynomials of degree at least 2.
Rational Inequalities — We continue solving inequalities in this section. Absolute Value Equations — In this section we will give a geometric as well as a mathematical definition of absolute value. We will then proceed to solve equations that involve an absolute value. We will also work an example that involved two absolute values. Absolute Value Inequalities — In this final section of the Solving chapter we will solve inequalities that involve absolute value. Graphing — In this section we will introduce the Cartesian or Rectangular coordinate system.
We will illustrate these concepts with a couple of quick examples Lines — In this section we will discuss graphing lines. We will introduce the concept of slope and discuss how to find it from two points on the line. In addition, we will introduce the standard form of the line as well as the point-slope form and slope-intercept form of the line. We will finish off the section with a discussion on parallel and perpendicular lines. Circles — In this section we discuss graphing circles.
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. The Definition of a Function — In this section we will formally define relations and functions. We introduce function notation and work several examples illustrating how it works. We also define the domain and range of a function. In addition, we introduce piecewise functions in this section. Graphing Functions — In this section we discuss graphing functions including several examples of graphing piecewise functions.
Combining functions — In this section we will discuss how to add, subtract, multiply and divide functions. In addition, we introduce the concept of function composition. Inverse Functions — In this section we define one-to-one and inverse functions. We also discuss a process we can use to find an inverse function and verify that the function we get from this process is, in fact, an inverse function. Parabolas — In this section we will be graphing parabolas.
We introduce the vertex and axis of symmetry for a parabola and give a process for graphing parabolas. Ellipses — In this section we will graph ellipses. We introduce the standard form of an ellipse and how to use it to quickly graph an ellipse. Hyperbolas — In this section we will graph hyperbolas. We introduce the standard form of a hyperbola and how to use it to quickly graph a hyperbola. 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.
Symmetry — In this section we introduce the idea of symmetry. 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. Rational Functions — In this section we will discuss a process for graphing rational functions.
We will also introduce the ideas of vertical and horizontal asymptotes as well as how to determine if the graph of a rational function will have them. We will define the remainder and divisor used in the division process and introduce the idea of synthetic division.
We will also give the Division Algorithm. Graphing Polynomials — In this section we will give a process that will allow us to get a rough sketch of the graph of some polynomials.
However, if we are not able to factor the polynomial we are unable to do that process. Partial Fractions — In this section we will take a look at the process of partial fractions and finding the partial fraction decomposition of a rational expression.
This is a process that has a lot of uses in some later math classes. It can show up in Calculus and Differential Equations for example. Exponential Functions — In this section we will introduce exponential functions. We will give some of the basic properties and graphs of exponential functions. Logarithm Functions — In this section we will introduce logarithm functions. We give the basic properties and graphs of logarithm functions.
Algebra 1 Here is a list of all of the skills students learn in Algebra 1! These skills are organized into categories, and you can move your mouse over any skill name to preview the skill.
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Even the simplest math problem has to be broken down into steps before you can find the answer. From simple additions to calculus, the process of problem solving has to be learned before the answer could come easily. As problems become more complex, it becomes even more important to understand the step-by-step process by which we solve them. Free math problem solver answers your algebra homework questions with step-by-step explanations.