Question

While grading her students' most recent quiz on equation solving, Mrs. Jones calculated that approximately forty percent of her students answered question number 14 with multiple choice option B, while the other sixty percent answered A or C.

Question #14 from Mrs. Jones's students' most recent quiz:

14) Solve the single variable equation for n.
a.n=3
b.no solution
c.infinitely many solutions
Use complete sentences to compare the similarities and differences of each of the multiple choice answer options A-C. In your answer, rationalize why a student would choose each of the options as the correct answer

Answer 1

Answer:

b is the answer

Step-by-step explanation:

this question has no solution

Answer 2

Answer:

B

Step-by-step explanation:

1.  Solve 3(-n+4)+5n=2n

    A. Distribute 3 through the parentheses

             -3n+12+5n=2n

   B.Collect like terms

        2n+12=2n

   C. Cancel equal terms on both sides of the equation

          12=0

   D. So this equation has no solution so B would be correct

2. Students may have chosen options A and C because they didn't use order of operations. Order of operations tells you which step you should do in order and so students may have ignored that thinking it wouldn't make a difference in their answer but turns out it makes a big difference.