Question

Describe and correct the error in solving the equation. Solve the equation algebraically in the "Show Your Work" box. Put your final answer in the space below. Check your solution.

SHOW YOUR WORK

Answer 1

To answer this question you just need to know the inverse property rule. For example in this problem: 4*z=32, what is the 4 doing to the z? It’s multiplying it. So the opposite of multiplying is dividing. In order to isolate the z we must divide 4 on both sides. Because whatever you do on one side you must do to the other. So far the equation should look like this: 4/4*z=32/4. The 4 will get canceled out and then all we have to do in this problem is divide 32 by 4. Which you will get 8. So the problem will look like z=8.


The error they made here was at the second step where they decided to multiply 4 by 32.

Answer 2

In the second step, they should have divided 32 by 4 instead of multiplying. Whatever you do to one side, you must do to the other, or the equation won’t be balanced. The correct answer is z = 8.

I’ve attached all the work & solutions in the image below. Hope this helps! :)