8
algebraIf , what is the value of ?
A
23
B
13
C
-13
D
-23
Correct Answer: A
Choice Dhoice A is the correct answer. When solving , we add to both sides.
- Start with the equation:
- Add 18 to both sides:
- Calculate:
- Verify: ✓
The key is recognizing that addition is the inverse operation of subtraction.
Choice Dhoice C is incorrect because this results from subtracting 18 from 5: . This applies subtraction twice instead of using the inverse operation (addition).
Choice Dhoice D is incorrect because this is the absolute value of Choice Dhoice C. Some students might calculate and then drop the negative sign, giving 13.
Choice Dhoice C is incorrect because this is the negative of the correct answer. If you mistakenly subtract instead of add and then apply a negative: .