# Algebra lessons

Function Machine allows students to drag numbers into the function machine and see the output. Literature Connections These books provide literature connections that lend themselves to the introduction of functions as growing patterns. You will only need to perform one step in order to solve the equation. One goal in solving an equation is to have only variables on one side of the equal sign and numbers on the other side of the equal sign.

The other goal is to have the number in front of the variable equal to one. The strategy for getting the variable by itself with a coefficient of 1 involves using opposite operations. For example, to move something that is added to the other side of the equation, you should subtract. The most important thing to remember in solving a linear equation is that whatever you do to one side of the equation, you MUST do to the other side.

So if you subtract a number from one side, you MUST subtract the same value from the other side. You will see how this works in the examples. Once you work through the examples, you may want to link to other lessons that require more steps.

Solve Remember the goal is to have the variable by itself on one side of the equation. In this problem, that means moving the 5 to the other side of the equation. Since the 5 is added to the variable, we move it to the other side of the equation by subtracting 5.

However, if we subtract 5 from the left side of the equation, we MUST also subtract 5 from the right side.

Solve It does not matter that the variable in this equation is on the right side of the equation. The position of the variable is not an issue.

Remember that the goal is to have the variable on one side by itself. It does not matter which side. To get the variable by itself, we need to add 3 to both sides.

Solve The variable in this equation is already on one side of the equation by itself. There is no need to add or subtract anything to both sides. However, the number in front of the variable is not 1. The -3 that is in front of the variable indicates multiplication of -3 by x.

The opposite operation of multiplication is division. So we will divide both sides by You should take note of the different ways of writing the answer. In the example, we divided by -3, yet wrote the answer with the negative in front of the entire fraction, not just the 3.

Each of the following fractions all mean the same thing. Solve The variable in this equation is already on one side by itself, but it is divided by 3.

To get rid of the 3 that is attached to the variable by division, we will perform the opposite operation which is multiplication. Notice that our variable can be any letter.

It does not always have to be x. Solve Once again, the variable is on one side by itself, but is multiplied by a -3 and divided by 5. Rather than perform two separate steps of multiplying by 5 and then dividing by -3, it is possible to combine those operations into one step.

In other words, we can multiply both sides by. The value is called the reciprocal of.Algebra Help. This section is a collection of lessons, calculators, and worksheets created to assist students and teachers of algebra. Here are a . 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. Algebra lessons with detailed examples and videos designed and taught by a teacher. Algebra 1 is the second math course in high school and will guide you through among other things expressions, systems of equations, functions, real numbers, inequalities, exponents, polynomials, radical and rational expressions..

This Algebra 1 math course is divided into 12 chapters and each chapter is divided into several lessons.

## Literature Connections

Under each . Bored with Pre-Algebra? Homeschooling Pre-Algebra? Confused by Pre-Algebra? Hate Pre-Algebra?

## Math Lessons and Interactive Quizzes

We can help. Coolmath Pre-Algebra has a ton of really easy to follow lessons and examples. The math lessons below can be used to assist both teachers and students, including homeschool students.

Teachers can gather ideas how to deliver various ashio-midori.comts can learn new mathematics lessons to avoid taking low level courses or review known skills to prepare for tests.

There are three sections.

Prealgebra at Cool math .com: Free Pre-Algebra Lessons and Practice Problems