7
algebra

Which value of xx satisfies the equation 8x=648x = 64?

A

72

B

8

C

56

D

512

Correct Answer: B

Choice Bhoice D is the correct answer. This equation asks us to find which value makes the equation true.

  1. Start with the equation: 8x=648x = 64
  2. Divide both sides by 8: x=648x = \frac{64}{8}
  3. Simplify: x=8x = 8
  4. Verify: 8(8)=648(8) = 64

Interestingly, in this problem, the coefficient (8) equals the solution (8), but this is just a coincidence based on the specific numbers chosen.

💡 Mental Math Tip: Recognizing that 64=8×864 = 8 \times 8 can help you solve this quickly.

Choice Bhoice C is incorrect because this comes from subtracting: 648=5664 - 8 = 56. Subtraction is not the inverse of multiplication.

Choice Bhoice C is incorrect because this results from adding: 64+8=7264 + 8 = 72. Addition also doesn't undo multiplication.

Choice Bhoice D is incorrect because this results from multiplying: 64×8=51264 \times 8 = 512. This multiplies both numbers together instead of dividing to isolate xx.