Question

Part 2

5m + 6.1
8.9
+61 +6.1
5m= 15
5
5
m=3
3. (2.5pts) Identify/Describe the error in the equation above. What did the student do incorrectly? Explain
I using a complete sentence.
4. (5pts) Correctly solve the equation (5m +6.1-8.9) Work must be shown to receive all 5 points.

Answer 1

The student made an error in the equation by adding instead of subtracting. The correct solution to the equation is m = 3.56.

Step-by-step explanation:

The error in the equation is in the step where the student simplifies 5m + 6.1 - 8.9. Instead of subtracting 8.9 from 6.1, the student mistakenly adds them together. The correct simplification should be 5m - 2.8.

To solve the equation correctly, we can now substitute the correct expression back into the equation:

5m - 2.8 = 15

Next, we isolate the variable by adding 2.8 to both sides of the equation:

5m = 15 + 2.8

Simplifying the right side gives us:

5m = 17.8

Finally, we divide both sides of the equation by 5 to solve for m:

m = 17.8 / 5

Calculating the division gives us the final answer:

m = 3.56