Which of the following answers gives the best estimate for x given the following equation?

Question

-2x + 902 = 1,518

600

300

-600

-300

Answer 1

To solve the equation -2x + 902 = 1,518, follow these steps:

1. Subtract 902 from both sides:

   \[ -2x = 1,518 - 902 \]

   \[ -2x = 616 \]

2. Now, divide both sides by -2:

   \[ x = \frac{616}{-2} \]

   \[ x = -308 \]

Since -308 is not one of the given options, we should consider which of the options is closest to -308.

The options provided are:

• 600
• 300
• -600
• -300

From the options, -300 is the closest estimate to -308.

Therefore, the best estimate for x is:

-300.