Asked by Cassie

1. What is the Algebraic expression for the following word phrase: the quotient of 8 and the difference of x and m?

8/x-m *
8-x/m
x-m/8
8-x/m

2.Which sum of difference is equivalent to the following expression? 5-3x/5?

1+3/5
1+3x/5
1-3x/5 *
25-15x

* is my choice and the second problem I would love it if someone would show me how to do this please...
Answered by Cassie
Which sum or difference for #2 - sorry
Answered by Steve
When writing expressions online, formatting gets lost. Use parentheses, as in 8/(x-m)

(5-3x)/5 = 5/5 - 3x/5 = 1 - 3x/5
So, you are correct. Apparently you solved it ok on your own! But, you see why you need parentheses?

5-3x/5 as it stands means 5 - (3x/5) since division is done before subtraction.
Similarly, if you interpreted your answer as you did the problem, then it would mean (1-3x)/5, which is not the same at all.
Answered by Cassie
Thank you Steve
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