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. Select the correct choice below and, if necessary, fill in the answer boxes within your choice

Answer 1

Option B is correct.

Rene is correct, and she can balance this up by adding 15 to the right side and have 7 + 1 + 12 = 8 - 3 + 15 OR 20 = 20

Step-by-step explanation

She starts with

7 + 1 = 8

She added 12 to the left side and subtracted 3 from the right side

7 + 1 + 12 ≠ 8 - 3

And we can easily see that the two sides aren't equal anymore, as

7 + 1 + 12 = 20

8 - 3 = 5

20 ≠ 5

Hence, what we can do to the right hand side to make the two sides equal again is to simply add 15 to the right hand side.

20 ≠ 5

20 = 5 + 15

So,

7 + 1 + 12 = 8 - 3 + 15

So, we can see that Rene is correct and she can balance this up by adding 15 to the right side and have 7 + 1 + 12 = 8 - 3 + 15 OR 20 = 20

Hope this Helps!!!