SOLUTION: Eight less than the product of eleven and a number Ten times the difference between a number and Fifty. The product of 9 and the total of z and 4

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Question 665503: Eight less than the product of eleven and a number
Ten times the difference between a number and Fifty.
The product of 9 and the total of z and 4

Found 2 solutions by ReadingBoosters, Edwin McCravy:
Answer by ReadingBoosters(3246)   (Show Source): You can put this solution on YOUR website!
First expression
-Eight less means subtract 8. From what?
-Product means multiplication. Multiplication of what?
-Use x for "a number."

...
Second expression
-Ten times means multiply. Multiply 10 times what?
-Difference means subtract. Subtract what?
-Use x for "a number."

...
Third expression
-Product of means multiply. Multiply what?
-Total of means addition. Add what?

.....................
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Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Here's a little more detail on how to analyze the English language
and translate it into the language of algebra:

Eight less than the product of eleven and a number
Eight less than the product of eleven and a number
Replace the words "a number" by "x".

Eight less than the product of eleven and x
Eight less than the product of eleven and x
Replace the word "Eight" by "8" and the word "eleven" by 11:

8 less than the product of 11 and x
8 less than the product of 11 and x
Replace the words "the product of 11 and x" by "11x"

8 less than 11x
To make something 8 less than it is, you subtract 8 from it.
We want to make llx to be 8 less than it is, so we subtract 8
from it:

11x - 8
--------------------------------------------------

Ten times the difference between a number and Fifty.
Ten times the difference between a number and Fifty.
Replace the words "a number" by x, the word "ten" by 10, and "fifty" by "50"

10 times the difference between x and 50.
10 times the difference between x and 50.
Replace the words "the difference between x and 50" by "(x-50)"

10 times (x-50)
Replace that by

10(x-50)
-----------------------

The product of 9 and the total of z and 4
The product of 9 and the total of z and 4
To find a total of two things you put a plus between them, so
replace the words "the total of z and 4" by "(z+4)"

The product of 9 and (z+4)
Replace that by

9(z+4)

Edwin

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