2
algebra

If 3x=183x = 18, what is the value of xx?

A

21

B

6

C

54

D

15

Correct Answer: B

Choice Choice B is the correct answer. This equation involves multiplication, so we use division to isolate the variable.

  1. Start with the equation: 3x=183x = 18
  2. Identify the operation: The variable xx is being multiplied by 3
  3. Apply the inverse operation: Divide both sides by 3
  4. Simplify: x=183=6x = \frac{18}{3} = 6
  5. Verify: 3(6)=183(6) = 18

💡 Key Concept: Multiplication and division are inverse operations. To undo multiplication by 3, divide by 3.

Choice Choice C is incorrect because this results from multiplying instead of dividing: 3×18=543 \times 18 = 54. This is a common error when students apply the wrong inverse operation.

Choice Choice D is incorrect because this comes from subtracting 3 from 18 instead of dividing: 183=1518 - 3 = 15. Subtraction is not the inverse of multiplication.

Choice Choice A is incorrect because this results from adding: 18+3=2118 + 3 = 21. Remember, we need to divide to isolate xx when it's being multiplied.