Question

Question

For which equation is the order of steps to first divide both sides by 2 and then to subtract 10 from both sides?(1 point)
Responses

10(x + 2) = 16
10 Left Parenthesis x plus 2 Right Parenthesis equals 16

2(x − 10) = 16
2 Left Parenthesis x minus 10 Right Parenthesis equals 16

2(x + 10) = 16
2 Left Parenthesis x plus 10 Right Parenthesis equals 16

2x + 10 = 16

Answer 1

To identify the equation for which the order of steps is to first divide both sides by 2 and then to subtract 10 from both sides, we can analyze each response.

1. 10(x + 2) = 16: Dividing both sides by 10 does not allow for a straightforward subtraction by 10 later.

2. 2(x − 10) = 16: Dividing both sides by 2 gives (x - 10) = 8, and then you would add 10 (not subtract) to isolate x.

3. 2(x + 10) = 16: Dividing both sides by 2 gives (x + 10) = 8, and then you would subtract 10 from both sides to isolate x.

4. 2x + 10 = 16: First, you would need to subtract 10 from both sides to get 2x = 6, then divide by 2, which is not in the required order.

Based on the analysis, the equation that fits the process of dividing by 2 first and then subtracting 10 is:

2(x + 10) = 16.