5
algebra

If 12x=14412x = 144, what is the value of xx?

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.

  1. Start with the equation: 12x=14412x = 144
  2. Divide both sides by 12: x=14412x = \frac{144}{12}
  3. Simplify: x=12x = 12
  4. Verify: 12(12)=14412(12) = 144

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: 122=14412^2 = 144, so when we divide 144 by 12, we get 12 back.

Choice Dhoice A is incorrect because this results from adding: 144+12=156144 + 12 = 156. Addition is not the inverse of multiplication.

Choice Dhoice D is incorrect because this comes from subtracting: 14412=132144 - 12 = 132. Subtraction doesn't undo multiplication.

Choice Dhoice C is incorrect because this results from multiplying: 144×12=1728144 \times 12 = 1728. This makes the product even larger instead of isolating xx.