1
algebra

If 7x=427x = 42, what is the value of xx?

A

294

B

49

C

6

D

35

Correct Answer: C

Choice Choice C is the correct answer. This multiplication equation requires division to isolate the variable.

  1. Start with the equation: 7x=427x = 42
  2. Divide both sides by 7: x=427x = \frac{42}{7}
  3. Simplify: x=6x = 6
  4. Verify: 7(6)=427(6) = 42

💡 Mental Math Tip: Knowing your multiplication tables helps! Since 7×6=427 \times 6 = 42, we can quickly identify that x=6x = 6.

Choice Choice D is incorrect because this results from subtracting 7 from 42: 427=3542 - 7 = 35. Subtraction is not the inverse of multiplication.

Choice Choice B is incorrect because this comes from adding: 42+7=4942 + 7 = 49. Addition doesn't undo multiplication either.

Choice Choice A is incorrect because this results from multiplying: 42×7=29442 \times 7 = 294. This compounds the multiplication instead of reversing it.