5
algebraIf , what is the value of ?
A
1728
B
12
C
132
D
156
Correct Answer: B
Choice Dhoice C is the correct answer. We divide both sides by the coefficient to solve.
- Start with the equation:
- Divide both sides by 12:
- Simplify:
- Verify: ✓
Notice that in this case, the coefficient (12) equals the solution (12). This happens when the right side is a perfect square of the coefficient.
💡 Pattern: , so when we divide 144 by 12, we get 12 back.
Choice Dhoice A is incorrect because this results from adding: . Addition is not the inverse of multiplication.
Choice Dhoice D is incorrect because this comes from subtracting: . Subtraction doesn't undo multiplication.
Choice Dhoice C is incorrect because this results from multiplying: . This makes the product even larger instead of isolating .