5
algebra

Solve: 25x=10025x = 100

A

75

B

125

C

4

D

2500

Correct Answer: C

Choice Dhoice D is the correct answer. Division by 25 gives us the solution.

  1. Start with the equation: 25x=10025x = 100
  2. Divide both sides by 25: x=10025x = \frac{100}{25}
  3. Simplify: x=4x = 4
  4. Verify: 25(4)=10025(4) = 100

💡 Mental Math: Recognize that 25×4=10025 \times 4 = 100 (four quarters make a dollar!), so 10025=4\frac{100}{25} = 4.

Choice Dhoice C is incorrect because this results from subtracting: 10025=75100 - 25 = 75. Subtraction is not the inverse of multiplication.

Choice Dhoice A is incorrect because this comes from adding: 100+25=125100 + 25 = 125. Addition doesn't undo multiplication.

Choice Dhoice B is incorrect because this results from multiplying: 100×25=2500100 \times 25 = 2500. This makes the product larger instead of isolating xx.