These techniques involve rewriting problems in the form of symbols. For example, the stated problem "Find a number which, when added to 3, yields 7" may be written as: We call such shorthand versions of stated problems equations, or symbolic sentences. The terms to the left of an equals sign make up the left-hand member of the equation; those to the right make up the right-hand member.
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. 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.From the table we see that 1 mole of water has a mass of grams, which isn't very much (about the mass of water in a couple of small ice-cubes you'd make in your family freezer).
Learn how to construct and solve a basic linear equation to solve a word problem. Solving Colebrook Equation for Pipe Design, Sizing and Optimisation Calculations: Solve Within Excel Worksheet - No VBA, MACRO, UDF of SOLVER [Mr M Anil Kumar] on rutadeltambor.com *FREE* shipping on qualifying offers.
Solving Colebrook-White equation is the most important task in any piping design and optimization calculation. Engineers . Graphing a linear equation written in slope-intercept form, y= mx+b is easy! Remember the structure of y=mx+b and that graphing it will always give you a straight line.
Summary: An algebraic equation is an equation that includes one or more variables. In this lesson, we learned how to write a sentence as an algebraic equation.
Learn how to construct and solve a basic linear equation to solve a word problem.