6
algebraIf , what is the value of ?
A
5
B
10
C
1
D
0
Correct Answer: D
Choice Bhoice C is the correct answer. This is another special case where zero is the solution.
- Start with the equation:
- Subtract 5 from both sides:
- Simplify:
- Verify: ✓
This demonstrates the additive identity: adding zero to any number leaves it unchanged.
💡 Identity Property: For any number , we have . So when , we know .
Choice Bhoice C is incorrect because this confuses the constant (5) with the solution. Seeing the same number on both sides doesn't mean equals that number.
Choice Bhoice D is incorrect because this results from adding: . This is the wrong operation.
Choice Bhoice D is incorrect because some students might think "dividing the same numbers gives 1," but division isn't how we solve addition equations.