SOLUTION: How do I translate these word problems into equations? 1. The absolute value of a number is the same as the product of five and the number? 2. The product of two consecutiv

Algebra ->  Human-and-algebraic-language -> SOLUTION: How do I translate these word problems into equations? 1. The absolute value of a number is the same as the product of five and the number? 2. The product of two consecutiv      Log On


   



Question 526652: How do I translate these word problems into equations?
1. The absolute value of a number is the same as the product of five and the number?
2. The product of two consecutive integers is three more than the larger integer?
Thanks for your help,
Eric

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
1. Call your number n.
The absolute value of the number is translated as |n|.
The product of five and the number is translated as 5n.
"Is the same" is translated as "="
The whole thing is translated as |n|=5n
2. The product of two consecutive integers is three more than the larger integer?
You could call the first integer n, and the second integer n%2B1.
The product would be n%28n%2B1%29.
Three more than the larger integer would be
%28n%2B1%29+%2B+3
The word "is" in the middle of the problem text is translated as an equal sign.
The whole problem can be written as
n%28n%2B1%29=%28n%2B1%29%2B3
That simplifies into
n%5E2%2Bn=n%2B4
Can you find n and n+1 from there?