Knowing all of these before beginning to solve will help your solving run on a smoother path. After reading the question you should be able to translate all the given data into mathematical equations.Also, keep in mind to select proper notation for your equations. Any formula or procedure that could shorten the solution is a shortcut.
The first step to effectively translating and solving word problems is to read the problem entirely.
Don't start trying to solve anything when you've only read half a sentence.
I did this on a calculus test — thank heavens it was a short test! (Technically, the "greater than" construction, in "Addition", is also backwards in the math from the English.
— and, trust me, you don't want to do this to yourself! Certain words indicate certain mathematica operations. But the order in addition doesn't matter, so it's okay to add backwards, because the result will be the same either way.) Also note that order is important in the "quotient/ratio of" and "difference between/of" constructions.
Many teachers, while willing to give plenty of help to their students so that they can be faster in Math, do not have the time to do so.
In that case, it is up to the student to figure out techniques on how to solve math problems more quickly than they did before.Try first to get a feel for the whole problem; try first to see what information you have, and then figure out what you still need. Figure out what you need but don't have, and name things. And make sure you know just exactly what the problem is actually asking for.Pick variables to stand for the unknows, clearly labelling these variables with what they stand for. You need to do this for two reasons: " stands for, so you have to do the whole problem over again.Factoring could also break down complicated expressions and could reveal some of their properties that are not easily accessible in their long, original form.Finally, the bit of advice that could unite all of these is: Practice.You'll be expected to know the number of days in a year, the number of hours in a day, and other basic units of measure.You'll also be expected to know that "perimeter" indicates the length around the outside of a flat shape such as a rectangle (so you'll probably be adding lengths) and that "area" indicates the size of the insides of the flat shape (so you'll probably be multiplying length by width, or applying some other formula).Your subconscious processes prior knowledge and chooses those which become most applicable to the problem at hand.You recall similar problems, formulae, and theorems that could help you in solving the problem.One of the most common complaints of students during Mathematics examinations is that they often run out of time; in that case, advice on how to solve math problems more quickly will help them finish timed exams.Math is a complicated discipline, and while some problems are routine and straightforward, some problems require zigzag mazes and long expositions of solutions before an answer can be found.