Question

An equation and the steps to solve it are shown below:

3x − one over two (8x − 2) = 4

Step 1: 3x − 4x + 1 = 4
Step 2: x + 1 = 4
Step 3: x + 1 − 1 = 4 − 1
Step 4: x = 3

Which step was the error made and why?

A. Step 1, because incorrect signs have been used
B. Step 2, because the terms have been added incorrectly
C. Step 3, because numbers have been added to both sides of the equation
D. No error was made

Answer 1

B. Step 2, because the terms have been added incorrectly

Explanation:

Step 1: 3x − 4x + 1 = 4

Step 2: x + 1 = 4

Step 2 should be: -x + 1 = 4 (combine like terms)

Answer

B. Step 2, because the terms have been added incorrectly

Answer 2

Step 2 is where the error was made.