A student is attempting to solve a multi-step equation. Sample mathematical work is shown below. Which statement best applies to
the sample mathematical work?
Given the equation , I must solve for m. I first subtract 8 from both sides, which gives me
−m/2
= -25/3. I then multiply both sides by –2, which gives me the final answer of m=50/3
A) The student incorrectly subtracted 8 from both sides.
B) The student incorrectly multiplied both sides by –2.
C) The final answer is not reduced or simplified.
D) The mathematical work shown is correct
Given the equation , I must solve for m. I first subtract 8 from both sides, which gives me
−m/2
= -25/3. I then multiply both sides by –2, which gives me the final answer of m=50/3
A) The student incorrectly subtracted 8 from both sides.
B) The student incorrectly multiplied both sides by –2.
C) The final answer is not reduced or simplified.
D) The mathematical work shown is correct
1 answer:
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Option A
The greatest common factor is 4ab
<em><u>Solution:</u></em>
Given that,
We have to find the greatest common factor
<em><u>First find the GCF of numbers</u></em>
GCF of 12, 20, 16
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 16 are: 1, 2, 4, 8, 16
The factors of 20 are: 1, 2, 4, 5, 10, 20
Then the greatest common factor is 4
<em><u>Now find the GCF of variables</u></em>
Here,
ab is the greatest common factor
Therefore, GCF of variables is ab
Thus, GCF of given expression is: 4ab
