1
algebra

If 4x=284x = 28, what is the value of xx?

A

32

B

7

C

112

D

24

Correct Answer: B

Choice Dhoice C is the correct answer. This multiplication equation requires division to solve.

  1. Start with the equation: 4x=284x = 28
  2. Divide both sides by 4: x=284x = \frac{28}{4}
  3. Simplify: x=7x = 7
  4. Verify: 4(7)=284(7) = 28

💡 Factor Approach: Notice that 28=4×728 = 4 \times 7, so dividing 28 by 4 gives us 7.

Choice Dhoice C is incorrect because this results from subtracting: 284=2428 - 4 = 24. Subtraction is not the inverse of multiplication.

Choice Dhoice D is incorrect because this comes from adding: 28+4=3228 + 4 = 32. Addition doesn't undo multiplication either.

Choice Dhoice A is incorrect because this results from multiplying: 28×4=11228 \times 4 = 112. This compounds the multiplication instead of reversing it with division.