Question

Write the math sentence as an equation: Negative eight times the sum of a number and 14.5 is 64.5

−8(r − 14.5) = 64.5
−8r + 14.5 = 64.5
−8(r + 14.5) = 64.5
−8r − 14.5 = 64.5

Answer 1

Correct answer is -8(r+14.5)=64.5

You start with -8, then to multiply it my a sum you need to put that addition equation in parentheses so -8(r+14.5), then we know the whole thing is equal to 64.5, so -8(r+14.5)=64.5

By process of elimination: We know A is not correct because it has a subtraction problem in the parenthesis, and we know it should be addition because of the key word “sum” with refers to an addition problem.
We know B is not correct because there are no parenthesis, and since we need to multiply -8 to the sum/total of the addition problem, it wouldn’t work without parenthesis.
We know D is not correct for the same reasons as A and B, there are no parenthesis and there is not addition sign

I’m knew to this, and I tried to simplify my answer so if you need any clarification let me know! Good luck!

Answer 2

The correct equation is −8(r + 14.5) = 64.5

Explanation:

This equation states that negative 8 times the sum of a number (r) and 14.5 is equal to 64.5.

The other equations are not correct because they do not correctly represent the given statement. In equation 1, the minus sign is in the wrong place, and in equation 3, the minus sign is missing before the 14.5. In equation 4, the minus sign is missing before the 8.

I hope this helps. Let me know if you have any further questions.