Verbal statement into mathematical equation

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Bea

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Translate each verbal statement into mathematical equation using indicate variable.....

1) The sum of the squares of a number x and 3 yields 25.
2)The sum of two consecutive integers x and (x+1) equals 25.


Please answer ...Thanks
 
Bea said:
Translate each verbal statement into mathematical equation using indicate variable.....

1) The sum of the squares of a number x and 3 yields 25.
2)The sum of two consecutive integers x and (x+1) equals 25.


Please answer ...Thanks
Click to expand...
I think the first statement should have "square" rather than "squares".
 
Bea said:
Translate each verbal statement into mathematical equation using indicate variable.....

1) The sum of the squares of a number x and 3 yields 25.
2)The sum of two consecutive integers x and (x+1) equals 25.


Please answer ...Thanks
Click to expand...
for (2) - you are given expressions of two numbers

x and (x+1)

how would you express their sum?
 
Ask yourself a sum! Your answer will be something like the sum of 3 and 5 is. That form need to be imbedded into your brain! The key word you are looking for is AND. What is to the left of AND and to the right of AND are the values/expressions which you are adding.

You want to know how to write the sum of x AND x+1? Use the method I described above. It will never fail you!
 
The original statement
"The sum of the squares of a number x and 3 yields 25"
makes more sense to me than
"The sum of the square of a number x and 3 yields 25".

The first is \(\displaystyle x^2+ 3^2= x^2+ 9= 25\) which reduces to \(\displaystyle x^2= 25- 9= 16\) so x=4 or x= -4.

The second is \(\displaystyle x^2+ 3= 25\) which reduces to \(\displaystyle x^2= 25- 3= 22\) so \(\displaystyle x= \pm\sqrt{22}\).
 
In the other one, "The sum of two consecutive integers x and (x+1) equals 25" you don't really need to worry about what "consecutive integers" mean- you are told that the numbers are "x" and "x+ 1". Their "sum" is x+ x+ 1= 2x+ 1= 25.
2x= 25- 1= 24 so x= 24/2= 12.
 
HallsofIvy said:
The original statement
"The sum of the squares of a number x and 3 yields 25"
makes more sense to me than
"The sum of the square of a number x and 3 yields 25".

The first is \(\displaystyle x^2+ 3^2= x^2+ 9= 25\) which reduces to \(\displaystyle x^2= 25- 9= 16\) so x=4 or x= -4.

The second is \(\displaystyle x^2+ 3= 25\) which reduces to \(\displaystyle x^2= 25- 3= 22\) so \(\displaystyle x= \pm\sqrt{22}\).
Click to expand...
Yeah maybe.
 
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