10
algebra

Solve: 10x+50=15010x + 50 = 150

A

20

B

10

C

100

D

1000

Correct Answer: B

Choice Dhoice B is the correct answer.

  1. Start with the equation: 10x+50=15010x + 50 = 150
  2. Subtract 50 from both sides: 10x=1505010x = 150 - 50
  3. Simplify: 10x=10010x = 100
  4. Divide both sides by 10: x=10010x = \frac{100}{10}
  5. Simplify: x=10x = 10
  6. Verify: 10(10)+50=100+50=15010(10) + 50 = 100 + 50 = 150

Choice Dhoice A is incorrect because this results from adding 50 to 150: 200200, then 200/10=20200/10 = 20. Wrong inverse operation.

Choice Dhoice C is incorrect because this is the value of 10x10x. You need to divide by 10.

Choice Dhoice D is incorrect because this results from multiplying 100 by 10: 10001000.