Question

A student's incorrect solutions to two equations are represented in the work shown. Student's work: 7x=70,x=0.4x=44,x=4. If the student continues to use the same strategy, what will be the student's solution to the equation 2x=24?

A. x=1
B. x=2
C. x=3
D. x=4

Answer 1

Using the student's incorrect strategy of dividing the constant term by 10, the anticipated solution to the equation 2x=24 would be B. x=2.

Step-by-step explanation:

The student's incorrect solutions to two equations are given as 7x=70, x=0.4 and 0.4x=44, x=4. Given the pattern in the student's solutions, if the student were to solve the equation 2x=24 using the same incorrect method, they would likely divide the constant term by 10 instead of dividing by the coefficient of x.

In the equation 2x=24, the correct solution would be dividing 24 by 2, which gives x=12. However, following the student's incorrect strategy, they might divide 24 by 10, resulting in x=2.4, and then misconstrue it as x=2.

Therefore, the student's incorrect solution to the equation 2x=24,

by using the same flawed strategy, would likely be B. x=2.