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Unformatted text preview: Dr. Raja Latif. Math 131 (051) Chapter 1.1.Applications of Equations Pg:1 1 . 1 APPLICATIONS OF EQUATIONS Slvd. Examples 1,2,3,4,7 Home Work 12, 16, 28, 33 Rcmd. Problems 1,11,13,21,25,33,35,37 Algebraic methods are very useful in solving applied problems in many different fields . Such problems are generally stated in verbal form ; before we can make use of our algebraic tools , it is necessary to translate the verbal statements into corresponding algebraic statements . The following step- by- step procedure will very often be helpful in carrying out this process . Step 1 Represent the unknown quantity − that is , the quantity to be determined − by an algebraic symbol , such as x . In some problems , two or more quantities must be determined ; in such cases we chose only one of them as x . Step 2 Express all of the other quantities involved in the problem , if there are any , in terms of x . Step 3 Translate verbal expression occurring in the problem into algebraic expressions involving x . In this context , such as is or was are translated into the algebraic symbol . Step 4 Solve the algebraic statement or statements according to the methods of algebra . Step 5 Translate the algebraic solution back into verbal form . In verbal problems , a number of typical expressions occur involving phrases such as some amount more than or less than a certain value or multiples such as twice or half of a certain quantity . The following examples illustrate how to translate such expressions into algebraic terms . Dr. Raja Latif. Math 131 (051) Chapter 1.1.Applications of Equations Pg:2 LECTURE CLASS NOTES: Q2. Geometry. The perimeter of a rectangle is 200 ft, and the length of the rectangle is three times the width.and the length of the rectangle is three times the width....
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