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Algebra word problems made easy
Let us go over a few important Math equivalents of English for numbers and algebra word problems so as to make the interpretation of word problems easier.
Add---- sum, total of, added to, together, increased by
Subtract-difference between, minus, less than, fewer than
Multiplication-of times, by a factor
Division-per, out of, ratio of, percent
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Algebra Word Problem Examples to work with
Example1: English word problem: five less than the total of a number and three
Math equivalent: 5-(x+3)
Example2: In three more years, Jack's grandmother will be six times as old as Jack was last year. If Jack's present age is added to his grandmother's present age, the total is 68. How old is each one now?
Let 'g' be Jack's grandmother's current age
Let 'j' be Jack's grandmother's current age
If Jack's present age is added to his grandmother's present age, the total is 68
j + g = 68
In six more years, Jack's grandmother will be six times as old as Jack was last year
(g+3) = 6 (j-1)
If Jack's present age is added to his grandmother's present age, the total is 68
j+g=68
Solving both equations we get Jack's age (j) as 11 and Jack's grandmother's age (g) as 57
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