Question

A student claims that 3(3x + 2) + 5 - 4x is equivalent to 5x + 7; however, the student is incorrect. The student's work is shown below: Step 1: 3(3x + 2) + 5 - 4x Step 2: 9x + 2 + 5 - 4x Step 3: 9x - 4x + 2 + 5 Step 4: 5x + 7 Describe the error in the student's work.

Answer 1

Answer:

The answer to your question is below

Step-by-step explanation:

                        3(3x + 2) + 5 - 4x =  5x + 7

Step 1: 3(3x + 2) + 5 - 4x           There is no error here, only wrote the

                                                    polynomial again

Step 2: 9x + 2 + 5 - 4x                He forgot to multiply 3 x 2 = 6

                                                     9x + 6 + 5 - 4x

Step 3: 9x - 4x + 2 + 5               He simplified like terms

Step 4: 5x + 7                              but is incorrect due to his mistake

                                                     The right answer should be 5x + 11