7
algebra

Which value of xx makes x8=11\frac{x}{8} = 11 true?

A

3

B

1.38

C

19

D

88

Correct Answer: D

Choice Bhoice C is the correct answer. We multiply to solve this division equation.

  1. Start with the equation: x8=11\frac{x}{8} = 11
  2. Multiply both sides by 8: x=11×8x = 11 \times 8
  3. Calculate: x=88x = 88
  4. Verify: 888=11\frac{88}{8} = 11

💡 Mental Math: Think "8 times what equals 88?" or use the pattern 11×8=8811 \times 8 = 88.

Choice A is incorrect because this results from adding: 11+8=1911 + 8 = 19. Addition is not the inverse of division.

Choice B is incorrect because this comes from subtracting: 118=311 - 8 = 3. Subtraction doesn't solve division equations.

Choice D is incorrect because this results from dividing 11 by 8: 118=1.3751.38\frac{11}{8} = 1.375 \approx 1.38. This divides in the wrong direction.