To match each expression to its simplified form, let's go through each of the given expressions and pair them correctly with their simplified form.
1. Expression: [tex]\((6 + 7) + (13 + 7)\)[/tex]
- Simplified form: [tex]\(6 + 7 + 13 + 7 = 33\)[/tex]
2. Expression: [tex]\(\left(13 - \frac{3}{2}\right) - (1 - 1)\)[/tex]
- Simplified form: [tex]\(13 - 1.5 - 1 + 1 = 11.5\)[/tex]
3. Expression: [tex]\((-8 - 1) + (2 \cdot 1 - 4)\)[/tex]
- Simplified form: [tex]\(-8 - 1 + 2 - 4 = -11\)[/tex]
Now, assigning the given simplified forms to the expressions in the list:
- [tex]\((6 + 7) + (13 + 7) \rightarrow 33\)[/tex]
- [tex]\(\left(13 - \frac{3}{2}\right) - (1 - 1) \rightarrow 11.5\)[/tex]
- [tex]\((-8 - 1) + (2 \cdot 1 - 4) \rightarrow -11\)[/tex]
Therefore, the simplified form should match as:
- [tex]\( (6 + 7) + (13 + 7) \rightarrow 33 \)[/tex]
- [tex]\(\left(13 - \frac{3}{2}\right) - (1 - 1) \rightarrow 11.5\)[/tex]
- [tex]\((-8 - 1) + (2 \cdot 1 - 4) \rightarrow -11\)[/tex]
Based on the given match:
For the box labeled "-12 + r":
It seems there is a misunderstanding in the options as none of the simplified forms resulted exactly in "-12 + r". The correct form from the valid match above for the given expressions matches appears correctly as:
-33, 11.5 and -11.
Accordingly:
- [tex]\( (6 + 7) + (13 + 7) = 33 \)[/tex]
- [tex]\(\left(13 - \frac{3}{2}\right) - (1 - 1) = 11.5 \)[/tex]
- [tex]\((-8 - 1) + (2 r-4) = -11 \)[/tex]
This Left box (-12 + r\rightarrow mismatch assumed).
