# Algebra Tutorial—WORD PROBLEMS

May 29th, 2015
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Word problems are easy to solve if you follow these three steps :1 Read the problem at least twice; underline the key words that strike you or appears tricky to you.2 Translate the word statements into mathematical symbols and equations

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Speed, Distance and TimeFormulaDistance= Rate x time Average speed = Total distance / Total TimeCase1: When equal distances are covered in different speed then Average Speed=2ab / (a + b)Case 2: For Different distances in same time then Average Speed is = (a + b) / 2Fractions &DecimalsFormulaThere are two method of comparing fractions:1) cross multiply 2) Convert them to decimals(by dividing)If a/b is the number of a whole that satisfies some property, then 1-(a/b) is the fraction of that whole that does not satisfy it.The period or decimal point determines the place value of the digits. For example the digit number 7654.321 have the following place values or decimal points:7 is thousands, 6 is hundreds, 5 is tens, 4 is ones or units. 3 is tenths, 2 is hundredths, 1 is thousandthsExample of decimal follow: .0321=PercentsFormula Part=Percent * whole. % increase or decrease=Quadratic Equations Formula,Powers and roots of NumbersFormulaFor any numbers b & c & positive integers m & n:bmbn=bm+n,, (bm)n=bmn, bmcm=bcm To square a number that is greater than, or, raising it to a higher power, results in a l

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