8
algebra

If x30=10x - 30 = -10, what is the value of xx?

A

20

B

-20

C

-40

D

40

Correct Answer: A

Choice Bhoice D is the correct answer. Even with negative results, the solution strategy remains the same.

  1. Start with the equation: x30=10x - 30 = -10
  2. Add 30 to both sides: x=10+30x = -10 + 30
  3. Calculate: x=20x = 20
  4. Verify: 2030=1020 - 30 = -10

This shows that we can get a positive solution even when the right side is negative.

💡 Working with Negatives: When adding a positive to a negative, think: 10+30=3010=20-10 + 30 = 30 - 10 = 20.

Choice Bhoice C is incorrect because this results from adding 30 to the absolute value: 10+30=4010 + 30 = 40 (ignoring the negative sign).

Choice Bhoice D is incorrect because this might come from subtracting instead of adding: 1030=40-10 - 30 = -40. This applies subtraction twice.

Choice Bhoice C is incorrect because this is the negative of the correct answer. Some students might calculate correctly but then mistakenly apply a negative sign.