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...

Which sum or difference for #2 - sorry

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.

Thank you Steve

1. To find the algebraic expression for the word phrase "the quotient of 8 and the difference of x and m", we need to break it down into mathematical operations.

The word "quotient" indicates division, so we need to divide 8 by the difference of x and m. The difference of x and m can be represented as (x - m).

Therefore, the algebraic expression for the given word phrase is 8 / (x - m).

Out of the provided options, the correct choice is 8 / (x - m).

2. To find the sum or difference that is equivalent to the expression 5 - 3x/5, we can simplify the given expression.

Given expression: 5 - 3x/5

To simplify, multiply both the numerator and denominator of the fraction (3x) by 5, which gives us:

5 - (3x * 5) / (5 * 5)

Simplifying further:

5 - 15x / 25

Now, let's check the options provided:

- Option 1: 1 + 3/5
- Option 2: 1 + 3x/5
- Option 3: 1 - 3x/5 *
- Option 4: 25 - 15x

Substituting x = 0 into the original expression, we find:

5 - 3(0)/5 = 5

The equivalent expression should give the same result as the original expression when x = 0.

By substituting x = 0 into each option, we can see that only Option 3 gives us 5:

1 - 3(0)/5 = 1 - 0/5 = 1

Hence, the correct choice is 1 - 3x/5.