# Writing algebraic equations word problems

It is taught to students who are presumed to have no knowledge of mathematics beyond the basic principles of arithmetic. In algebra, numbers are often represented by symbols called variables such as a, n, x, y or z. This is useful because: But word problems do not have to be the worst part of a math class. By setting up a system and following it, you can be successful with word problems.

So what should you do? Here are some recommended steps: Read the problem carefully and figure out what it is asking you to find. Usually, but not always, you can find this information at the end of the problem.

Assign a variable to the quantity you are trying to find. Most people choose to use x, but feel free to use any variable you like. For example, if you are being asked to find a number, some students like to use the variable n. It is your choice. Write down what the variable represents. At the time you decide what the variable will represent, you may think there is no need to write that down in words.

However, by the time you read the problem several more times and solve the equation, it is easy to forget where you started. Re-read the problem and write an equation for the quantities given in the problem.

This is where most students feel they have the most trouble. The only way to truly master this step is through lots of practice.

## Example 1: Algebra Word Problems

Be prepared to do a lot of problems. The examples done in this lesson will be linear equations. Solutions will be shown, but may not be as detailed as you would like. If you need to see additional examples of linear equations worked out completely, click here. Just because you found an answer to your equation does not necessarily mean you are finished with the problem.

Many times you will need to take the answer you get from the equation and use it in some other way to answer the question originally given in the problem.

Your answer should not only make sense logically, but it should also make the equation true. If you are asked how fast a person is running and give an answer of miles per hour, again you should be worried that there is an error.

If you substitute these unreasonable answers into the equation you used in step 4 and it makes the equation true, then you should re-think the validity of your equation. When 6 is added to four times a number, the result is What are we trying to find? Assign a variable for the number.

We are told 6 is added to 4 times a number. Since n represents the number, four times the number would be 4n. If 6 is added to that, we get. We know that answer is 50, so now we have an equation Step 5: Answer the question in the problem The problem asks us to find a number.

The number we are looking for is The answer makes sense and checks in our equation from Step 4. The sum of a number and 9 is multiplied by -2 and the answer is We are then told to multiply that by -2, so we have. Be very careful with your parentheses here. The way this is worded indicates that we find the sum first and then multiply.

We also know the answer is So we will solve Step 5: On an algebra test, the highest grade was 42 points higher than the lowest grade. The sum of the two grades was Find the lowest grade. The lowest grade on an algebra test.Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and rutadeltambor.com its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.

It includes everything from elementary equation solving. Money Worksheets Writing a Check Worksheets. This Money Worksheet will produce a worksheet for practicing writing out checks.

## Addition Word Problems / FREE Printable Worksheets – Worksheetfun

You may choose practice problems with checks to fill out or just a blank sheet of checks to use. We can subtract 17 from both sides of the equation to find the value of x. 68 - 17 = x. Answer: x = 51, so Jeanne needs \$51 to buy the game. In the problem above, x is a variable.

The symbols 17 + x = 68 form an algebraic equation. Let's look at some examples of writing algebraic equations. Example 1: Write each sentence as an algebraic equation.

Have you checked out rutadeltambor.com @openmiddle Should be on your short list of math ed resources #MTBoS #mathchat #maths #elemchat — Brian Marks. In the Language of Algebra, an equation is the basic number "sentence". An equation is a mathematical expression that contains an equals sign.

Click on the sentences below to translate them into equations.

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These Algebra 1 Equations Worksheets will produce work word problems with ten problems per worksheet. You may select the numbers to be represented with digits or in words. These Equations Worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Reason about and solve one-variable equations and inequalities | 6th Grade Math | Math Chimp