1.1. Kelly and Mike solved the equation 2(4x + 3) = 4(x - 2) - 2x using two different methods, shown below.
Mike
Kelly
2(4x + 3) = 4(x-2)-2x
4x + 3 = 2(x - 2) -
4x + 3 = 2x - 4-
4x + 3 = x-4
3x = -7
2(4x + 3) = 4(x-2)-2x
8x + 6 = 4x-8-2x
8x + 6 = 2x - 8
6x = -14
=-
7
3
Which statement best describes who solved the equation correctly?
A. Kelly and Mike both solved the equation correctly because both methods used followed the
properties of equality and, therefore, both equations were balanced throughout the solving
process.
B. Neither Kelly nor Mike solved the equation correctly because both incorrectly used the
properties of equality and, therefore, both equations were not balanced throughout the solving
process.
C. Only Kelly solved the equation correctly because Mike's first step did not follow a property of
equality.
D. Only Mike solved the equation correctly because Kelly's first step did not follow a property of
equality.