5
algebra

Solve for xx: 5x=455x = 45

A

9

B

50

C

225

D

40

Correct Answer: A

Choice Choice A is the correct answer. This is a one-step multiplication equation requiring division to solve.

  1. Start with the equation: 5x=455x = 45
  2. Identify the coefficient: The variable is multiplied by 5
  3. Divide both sides by 5: x=455x = \frac{45}{5}
  4. Simplify: x=9x = 9
  5. Verify: 5(9)=455(9) = 45

💡 Pattern Recognition: In equations of the form ax=bax = b, the solution is always x=bax = \frac{b}{a}.

Choice Choice C is incorrect because this results from subtracting 5 from 45: 455=4045 - 5 = 40. Subtraction is not the correct inverse operation for multiplication.

Choice Choice B is incorrect because this comes from adding: 45+5=5045 + 5 = 50. Addition also doesn't undo multiplication.

Choice Choice C is incorrect because this results from multiplying 45 by 5 instead of dividing: 45×5=22545 \times 5 = 225. This compounds the multiplication rather than undoing it.