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Word Problems in, Algebra, , Word problems allow us to apply algebra to, real life situations. Many students find them, difficult, but if approached in a logical, manner, they can be easily solved.

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Some Basic Examples, , Three less than twice a number is 13. What is the number?, , * FIND: we need to find the number, use the variable: x, * FACTS: twice the number is 2x, three less than that is 2x -3, * FORMULA: 2X—3=13, e SOLVE: 2x-3=13, 2x —37+3=-=13+3 *add 3 to both sides (addition property of equality), , 2x =16, 2x 16 *divide both sides by 2 (division property of equality), z= 2, , Xx=8, , - ANSVVER: Does the answer 8 make sense? Twice 8 is equal, to 16. Three less than 16 is 13. YES it answers the original, problem and makes sense.

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Problem 1:, , A number exceeds another by 4 and their sum, is 32. Find the two numbers., Rep: x 1%* number, , x + 4» 2™7 number, , Equation: x+x+4=32, 2x+4= 32, 2x =32-4, 2x = 28, x=14, , Statement: The two numbers are 14 and 18.

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Problem 2:, , When a number is doubled and 5 is subtracted from, the result, the answer is 37. What is the number., , Rep.: let x be the missing number, Equation: 2x—5=37, , 2x=37+5, 2x =A2, e= 21, , Statement: The missing number is 21.

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Problem 3:, , The sum of two numbers is 120. If the larger, number is four times the smaller number, what, are the two numbers?, , Rep.: let x be the smaller number and 4x the bigger, number, , Equation: x + 4x = 120, 5x = 120, x= 24, Statement: The two numbers are 24 and 96.