To do this, we perform the "opposite" operation on both sides of the equation. In general, addition and subtraction are like "opposites" — do one to get rid of the other. Cancel multiplication with division and vice versa. Multiplication and division are a little harder to work with than addition and subtraction, but they have the same "opposite" relationship.

With multiplication and division, you must perform the opposite operation on everything on the other side of the equals sign, even if it's more than one number. Cancel exponents by taking the root and vice versa. Exponents are a fairly advanced pre-algebra topic — if you don't know how to do them, see our basic exponent article for more information. The "opposite" of an exponent is the root that has the same number as it. It may be a little confusing, but, in these cases, you take the root of both sides when dealing with an exponent.

On the other hand, you take the exponent of both sides when you're dealing with a root. For exponents, take the root. Use pictures to make problems clearer. If you're having a hard time visualizing an algebra problem, try using diagrams or pictures to illustrate your equation. You can even try using a group of physical objects like blocks or coins instead if you have some handy.

Use "common sense checks" especially for word problems. When converting a word problem into algebra, try to check your formula by plugging in simple values for your variable. For example, let's say we're told that a football field is 30 yards We can test whether this equation makes sense by plugging in simple values for w. If it's 30 yards This makes sense — we'd expect the field to get longer as it gets wider, so this equation is reasonable. Be aware that answers won't always be integers in algebra. Answers in algebra and other advanced forms of math aren't always round, easy numbers.

They can often be decimals, fractions, or irrational numbers. A calculator can help you find these complicated answers, but keep in mind that your teacher may require you to give your answer in its exact form, not in an unwieldy decimal. If we type 7 into a calculator, we'll get a huge string of decimals plus, since the calculator's screen is only so large, it can't display the entire answer.

In this case, we may want to represent our answer as simply 7 or else simplify the answer by writing it in scientific notation.

Try expanding your skill. When you're confident with basic algebra, try factoring. One of the trickiest algebra skills of all is factoring — a sort of shortcut for getting complex equations into simple forms. Factoring is a semi-advanced algebra topic, so consider consulting the article linked above if you're having trouble mastering it. Below are just a few quick tips for factoring equations: Progress in algebra and any other kind of math requires lots of hard work and repetition.

Don't worry — by paying attention in class, doing all of your assignments, and seeking out help from your teacher or other students when you need it, algebra will begin to become second nature.

Ask your teacher to help you understand tricky algebra topics. If you're having a hard time getting the hang of algebra, don't worry — you don't have to learn it on your own. Your teacher is the first person you should turn to with questions. After class, politely ask your teacher for help.

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## Algebra 1 (grades 8-10)

Good teachers will usually be willing to re-explain the day's topic at an after-school appointment and may even be able to give you extra practice materials. If, for some reason, your teacher can't help you, try asking them about tutoring options at your school. Many schools will have some sort of after-school program that can help you get the extra time and attention you need to start excelling at your algebra.

Remember, using free help that's available to you isn't something to be embarrassed about — it's a sign that you're smart enough to solve your problem!

Graphs can be valuable tools in algebra because they allow you to display ideas that you'd usually need numbers for in easy-to-understand pictures. Usually, in beginning algebra, graphing problems are restricted to equations with two variables usually x and y and are done on a simple 2-D graph with an x axis and a y axis. With these equations, all you need to do is plug in a value for x, then solve for y or do the reverse to get two numbers that correspond to a point on the graph.

This means that the point 2,6 two spaces to the right of center and six spaces above center is part of this equation's graph. Learn to solve inequalities. What do you do when your equation doesn't use an equals sign? Nothing much different than what you'd normally do, it turns out.

## Algebra 1 (grades ) - Math Made Easy Programs

You'll be left with an answer that's either less than or greater than your variable. This means that every number less than one works for x. In other words, x can be 0, -1, -2, and so on. If we plug these numbers into the equation for x, we'll always get an answer less than 3. One algebra topic that many beginners struggle with is solving quadratic equations. Experiment with systems of equations. Solving more than one equation at once may sound super-tricky, but when you're working with simple algebra equations, it's not actually that hard.

Often, algebra teachers use a graphing approach for solving these problems. When you're working with a system of two equations, the solutions are the points on a graph that the lines for both equations cross at. If we draw these two lines on a graph, we get one line that goes up at a steep angle, and one that goes down at a mild angle. Since these lines cross at the point -1,-5 , this is a solution to the system. Subtract 13 from both sides to get x by itself.

That makes the equation: Not Helpful 13 Helpful No, because the first equation asks for addition and the second equation asks for multiplication. Not Helpful 16 Helpful Algebra is a good tool for solving mathematical puzzles and situations that may arise in real life. Think about how you could apply it to your daily life. Not Helpful 19 Helpful Multiply b-1 by 7. Then subtract 8-b , which means you subtract 8 and add b.

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Not Helpful 12 Helpful Isolate the variable on one side of the equation and the constant on the other side. In this example, subtract 3x from both sides, leaving no x on the left side and 3x on the right side. Then add 7 to both sides, leaving no constant on the right side and 11 on the left side. Then divide both sides by the remaining coefficient of the variable. Not Helpful 14 Helpful Is x the exponent or the base? If it is the base, you will most likely have to factor it or use the quadratic equation.

If the x is cubed, there are formulas you can memorize. If it raised to the fourth power, it often cannot be done by hand, unless by factoring. If x is the exponent, you have to use logarithms. Not Helpful 17 Helpful Not Helpful 1 Helpful 3. Place positive integers to the right of zero, negative integers to the left of zero. Not Helpful 6 Helpful 6.

Not Helpful 4 Helpful 4. Subtract 5d from both sides, and add 3 to both sides: Divide both sides by 4: Not Helpful 4 Helpful 3. Include your email address to get a message when this question is answered.

### Why Use a Letter?

Already answered Not a question Bad question Other. Quick Summary To learn algebra, make sure you know the order of operations and how to use negative numbers. Did this summary help you? Tips There are tons of resources for people learning algebra online. For instance, just a simple search engine query like "algebra help" can yield dozens of great results. You may also want to try browsing WikiHow's selection of math articles.

There's a huge amount of information out there, so start exploring today! One great site for algebra beginners is khanacademy. This free site offers tons of easy-to-follow lessons on a huge variety of topics, including algebra. There are videos for everything from the extreme basics to advanced university-level topics, so don't be afraid to dive in to Khan Academy's material and start using all the help that the site has to offer! Don't forget that your best resources when you're trying to learn algebra can be the people you're already comfortable with.

Try talking to friends or fellow students who are taking the class with you if need extra help understanding your last lesson. Article Info Featured Article Categories: Featured Articles Algebra In other languages: Thanks to all authors for creating a page that has been read , times. Algebra 1 grades The new topics in the algebra curriculum and the emphasis placed on student comprehension have left many students staggering. Now, in the new Math Made Easy Algebra Video Series, students will discover easy to understand explanations illustrated with full-motion graphics in a dynamic and captivating presentation.

In his masterful teaching style, Leonard Morochnick highlights the important principles for students to remember. As he progresses, he shows time and again how these principles are applied. The series provides problem solving strategies for all the concepts taught, accompanied by actual examples and their step by step solutions. This Math Made Easy program will help students build their Algebra comprehension and master problem solving techniques for every algebra topic.

While many algebra teachers focus on rote learning and memorization, Math Made Easy focuses on comprehension. Students will develop a genuine understanding of algebra concepts that will enable them to apply what they have learned to any example they encounter.

Dynamic lessons and do-it-yourself exercises build upon this foundation of understanding. Watch your student's eyes light up with the "aha" moment of comprehension!

## Introduction to Algebra

Math Made Easy empowers students by putting them in control of the learning process. No more struggling to keep up with lightning-fast lessons! Our video-based algebra program will take the stress out of learning by enabling students to control the pace of their study. Utilized by thousands of students, Math Made Easy Algebra software provides the extra review that many students need to keep up in school. The program is also ideal for in-classroom and homeschooling use. Its versatile format makes it the perfect resource to supplement an existing algebra course or to provide a comprehensive review.