Question

Select the TWO expressions that are equivalent to the given expression.

(2x+2)−(3x+11)


(1 point)
Responses

2x−3x+2+11
2 x minus 3 x plus 2 plus 11

−x−9
negative x minus 9

5x+13
5 x plus 13

5x+9
5 x plus 9

−x+9
negative x plus 9

−x+13
negative x plus 13

2x−3x+2−11

Answer 1

To solve the expression \((2x + 2) - (3x + 11)\), we will first simplify it step by step:

1. Distribute the negative sign to the terms inside the parentheses:
\[
(2x + 2) - (3x + 11) = 2x + 2 - 3x - 11
\]

2. Combine like terms:
\[
(2x - 3x) + (2 - 11) = -x - 9
\]

So, the simplified expression is \(-x - 9\).

Now let's evaluate the options:

1. **2x−3x+2+11**
- This simplifies to \((-1x) + 13\) which is not equivalent.

2. **−x−9**
- This is the exact simplified expression we found.

3. **5x+13**
- This is not equivalent.

4. **5x+9**
- This is not equivalent.

5. **−x+9**
- This is not equivalent.

6. **−x+13**
- This is not equivalent.

7. **2x−3x+2−11**
- This simplifies to \((-x) + (2 - 11)\) = \(-x - 9\), which is equivalent.

The two correct responses that are equivalent to the original expression \((2x + 2) - (3x + 11)\) are:

- **−x−9**
- **2x−3x+2−11**