Algebra Problem Solving: need to know how to translate  TOPIC_SOLVED

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Algebra Problem Solving: need to know how to translate

Postby mema64 on Fri Apr 17, 2009 3:51 am

I am trying to understand how to the equations for problem solving. I need to know how to translate problem into equations. I have read a have figure out problems that are already solve but, I can't seem to write them as equations.

Example: translate the statement " two fewer than ten times a number is 78". I write the problem as

10(x -2) = 78
10(x-2) = x + 78
10x - 20 = 78x
10 - x - 20 = 78 - x
10 - 20 = 78
10 = 78

This is my answer I don't know if this is correct or even if the process is right, I need help understanding the problem - solving.
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Postby stapel_eliz on Fri Apr 17, 2009 11:08 am

mema64 wrote: I need to know how to translate problem into equations.

To study the techniques for this, try an online lesson on translating word problems. :wink:

mema64 wrote:Example: translate the statement " two fewer than ten times a number is 78". I write the problem as

10(x -2) = 78
10(x-2) = x + 78

How did "78" become "x + 78"?
To learn how to solve linear equations, try here.

I'm guessing that "x" stands for "a number"...? So your set-up as something similar to the following...?

. . . . .a number: x
. . . . .ten times a number: 10x
. . . . .two fewer than: (10x) - 2
. . . . ."is": (10x) - 2 = 78

However, I'm afraid I don't follow most of your steps...? Sorry! :oops:
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Re: Algebra Problem Solving: need to know how to translate  TOPIC_SOLVED

Postby z3r0f3ar on Sat Apr 18, 2009 9:54 pm

mema64 wrote:I am trying to understand how to the equations for problem solving. I need to know how to translate problem into equations. I have read a have figure out problems that are already solve but, I can't seem to write them as equations.

Example: translate the statement " two fewer than ten times a number is 78". I write the problem as


To start the problem, you wanna right it in proper algebraic form, which you did. :clap:

But, you did the problem wrong :nono:

So,

10x-2=78
You get this equation because it's 10 times A NUMBER. (which means only one number, which is in this case, x.)

10x-2=78
10x=80
x=8
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