Question

The students in Mr. Kim's class are discussing how to apply the properties of equality. Rene started with the equation 7+ 1 = 8. She added 12 to the left side and subtracted 3 from the right side. When her classmates pointed out that her equation was no longer balanced, Rene said that it was not a problem because she could perform an operation to the right side of the equation to make it equal again. Is Rene correct? Explain. O A. Rene is incorrect. There is no operation that can be performed to make the equation equal again because she has performed too many incorrect operations already. OB. Rene is correct. To balance the equation, Rene can add to the right side. Then, 7 + 1 + 12 = 8-3 + or 20 =

Answer 1

If Rene started with the below equation;

`7+1=8`

The addition and subtraction properties of equality states in order to keep both sides of the equation balanced, you have to subtract or add the same value to both sides.

But Rene added 12 to the left side and subtracted 3 from the right side instead of adding or subtracting the same value to both sides.

So all we need to do balance the equation again is add 15 to the right side of the equation;

`\begin{gathered} 7+1+12=8-3+15 \\ 20=20 \end{gathered}`