Equations Unit Test

13 of 1413 of 14 Items

Question
Mikayla and Jesse both solved the equation x−15=12−8, using substitution. Mikayla says the answer is x=19, and Jesse says the answer is x=27. Which student is correct, and how do you know? Show your work and explain your thinking. (2 points)

Math Short Answer Rubric (2 points)
Points Awarded Criteria
2
The answer is correct. The student made no errors while solving.

The answer shows that the student used problem-solving skills and reasoning.

All work is shown or explained.

1
The answer is partially correct. The student made errors while solving.

The answer shows little problem-solving skills or reasoning.

Some work is shown or explained.

0 The question is not answered.

In order to determine which student is correct, we need to solve the given equation x−15=12−8.

Starting with Mikayla's solution:
x−15=12−8
x−15=4
x=4+15
x=19

Therefore, Mikayla's answer is correct.

Now let's check Jesse's solution:
x−15=12−8
x−15=4
x=4+15
x=19

Therefore, both Mikayla and Jesse have the same correct answer, x=19. Jesse is also correct in this case.