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Math Word Problems - Equations

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Study GuideMath Word Problems–Equations1. Keywords Indicating EqualityOne of thehardest parts of solving word problemsis writing thecorrect equation. Once theequation is written correctly, solving it is usually much easier.To write the correct equation, you must recognizekeywords that indicate equality. These words tellyou where to place theequal sign (=).1.1Equality KeywordsThe following words and phrases translate directly to theequal sign (=):•IS•IS EQUAL TO•EQUALS•YIELDS•RESULTS IN•THE RESULT IS•IS THE SAME ASThese keywords use thedirect translation strategy.That means:•Youdo not change the order•You place= exactly where the equality word appearsExample 1: Writing an Equation with Multiple KeywordsTwice the difference between a number and five is equal to negative fourteen

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Study GuideStep-by-Step Translation1.Group adjacent keywordsPlace parentheses around the expression that comes afterTwiceand beforeIS:Twice(the difference between a number and five)is equal to negative fourteen2.Identify the subtraction phraseThe leading keywordDIFFERENCE BETWEENtells you subtraction:oa number − five3.Translate each partoTwice → multiply by 2oDifference between a number and five → ( x − 5 )oIs equal to → ( = )oNegative fourteen → (-14 )Final Equation2(x-5) =-14Important note:The wordTOinIS EQUAL TOisnota turnaround word. Equality keywords always usedirecttranslation.Example 2: When “IS” Does Not Mean Equals

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Study GuideKey IdeaNot everyISmeans “equals.”•The firstISintroduces an operation (subtracted)•The secondISindicates equalityStep-by-Step Translation•“a number subtracted from twelve” → ( 12-x )•“the result is five” → ( = 5 )Final Equation12-x = 5Tip:IfIScomes right before a number, it usually meansequals.IfIScomes before an operation word, it doesnotmean equals.Example 3: Equality with a Leading KeywordThe product of eight and a number yields twenty-fourStep-by-Step Translation1.Translate the first expressionoProduct of eight and a number → ( 8x )2.Translate the equality keywordoYields → ( = )3.Translate the second expressionoTwenty-four → ( 24 )
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Document Details

University
Texas A&M University
Course
Math Word Problems
Subject
Mathematics

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