Please help me with the following question:
A student attempts to solve for c in the equation below. Which statement best applies to the work shown below?
3c + 6 - 4c - 12c = 7
-13c + 6 = 7
-13c + 6 + (-6) = 7 + (-6)
-13c = 1
c = -1/13
A. The student followed all rules correctly and solved for c.
B. In step 2 of the student’s work they made a mathematical error.
C. The student’s answer is negative but it should be positive.
D. The student combined like terms incorrectly in step 1.
I think the answer is mostly A. I also think the answer is C. Is A the correct answer?
Please help me by checking my answer. Any help will be greatly appreciated! :)
The answer the student has is correct.
c = -1/13
The correct answer is A
The answer is negative.
A is correct.
Thank you Don and Ms. Sue!! :)
You are welcome.
To determine the correct answer, let's go through the steps shown in the student's work one by one:
Step 1: The student combines like terms on the left side of the equation.
3c + 6 - 4c - 12c = 7
This step is correct. The student correctly combined the like terms, giving us -13c.
Step 2: The student subtracts 6 from both sides of the equation.
-13c + 6 = 7
This step is also correct. The student subtracted 6 from both sides of the equation.
Step 3: The student adds -6 to both sides of the equation.
-13c + 6 + (-6) = 7 + (-6)
This step is correct. The student added -6 to both sides of the equation to keep it balanced.
Step 4: Simplifying both sides of the equation.
-13c = 1
Again, this step is correct. The student correctly simplified the right side of the equation, giving us -13c = 1.
Step 5: Solving for c by dividing both sides of the equation by -13.
c = -1/13
According to the final step, the student has correctly solved for c.
Based on the analysis of the student's work, we can conclude that the correct answer is indeed A. The student followed all rules correctly and solved for c.