If , what is the value of ?
1
0
15
30
Correct Answer: B
Choice Bhoice D is the correct answer. This final problem in the set demonstrates the additive identity once more.
- Start with the equation:
- Subtract 15 from both sides:
- Simplify:
- Verify: ✓
The additive identity property states that for any number . When , the only way this can work is if .
💡 Identity Properties: Remember two key identities: (additive identity) and (multiplicative identity). Here we use the first one.
Choice Bhoice D is incorrect because this results from adding instead of subtracting: . This is the wrong operation.
Choice Bhoice C is incorrect because this confuses the constant (15) with the solution. Seeing 15 on both sides doesn't mean ; in fact, it means .
Choice Bhoice C is incorrect because this confuses the multiplicative identity (1) with the additive identity (0). These are different concepts.