Question

Vanessa tried to solve an equation step by step. − 12 = 4 ( � − 6 ) − 12 = 4 � − 24 step 1 12 = 4 � step 2 4 = � step 3 −12 −12 12 4 ​ =4(f−6) =4f−24 =4f =f ​ step 1 step 2 step 3 ​ find vanessa's mistake. choose 1 answer: choose 1 answer: (choice a) step 1 step 1start color

Answer 1

Vanessa mistakenly added 24 instead of adding 12 during the first step of solving the equation. The corrected steps involve adding 12 to both sides and then dividing by 4 to solve for f, which results in f = 3.

Step-by-step explanation:

The student Vanessa made an error in Step 1 of her solution process. She began with the equation -12 = 4(f - 6), which she then transformed into -12 = 4f - 24 correctly by distributing the 4 into the parentheses. However, the mistake occurs when she moves to the next step, Step 1, and writes 12 = 4f. She incorrectly added 24 to both sides of the equation when she should have added 12 to both sides to cancel out the -24 on the right side and to properly isolate the term containing the variable.

Thus, the correction to Vanessa's process would be: -12 = 4f - 24, then -12 + 24 = 4f - 24 + 24 which simplifies to 12 = 4f. For Step 2, divide both sides by 4 to solve for f, resulting in f = 3.