Question

Tina solved an equation incorrectly, as shown below:

Step 1: 8x = 24
Step 2: x = 24 − 8
Step 3: x = 16

Which statement best explains why Step 2 is incorrect in Tina's solution?

She did not divide 24 by 8.
She did not add 8 to 24.
She did not multiply 24 by 8.
She did not multiply 24 eight times.

Answer 1

`8x = 24 \\ \\ x = (24)/(8) \ / \ divide \ by \ 8 \\ \\ x = 3 \ / \ simplify \\ \\`

Seeing the correct steps above, the mistake that Tina made was that she did not divide 24 by 8.

Answer 2

Answer: The correct statement is (A) She did not divide 24 by 8.

Step-by-step explanation: Given that Tina solved an equation incorrectly, as shown below:

Step 1: 8x = 24

Step 2: x = 24 − 8

Step 3: x = 16.

We are to select the correct statement that best explains the reason behind Step 2 incorrect.

The correct steps of the solution are

`\textup{Step 1: }8x=24\\\\\textup{Step 2: }x=(24)/(8)\\\\\textup{Step 1: }x=3.`

Therefore, we see that in step 2, Tina should divide 24 by 8, which she did not do and got the incorrect answer.

Thus, the correct statement is (A). She did not divide 24 by 8.