3
algebraIf , what is the value of ?
A
0.5
B
18
C
2
D
72
Correct Answer: D
Choice Dhoice C is the correct answer. When the variable is in a fraction, we multiply to isolate it.
- Start with the equation:
- Multiply both sides by 6:
- Calculate:
- Verify: ✓
💡 Strategy: For , always multiply: .
Choice Dhoice A is incorrect because this results from dividing 12 by 6 instead of multiplying: . This divides when we should multiply.
Choice Dhoice C is incorrect because this comes from adding: . Addition is not the inverse of division.
Choice Dhoice D is incorrect because this results from dividing in the opposite direction: . This is the reciprocal of Choice Dhoice A.