Let's match each of the addition expressions on the left with their equivalent expressions on the right. We'll go through each expression in detail.
1. First Expression: [tex]$6 + 9$[/tex]
- Let's evaluate this: [tex]\(6 + 9 = 15\)[/tex].
- Therefore, the equivalent evaluated expression for [tex]$6 + 9$[/tex] is 15.
2. Second Expression: [tex]$4(8 + 3)$[/tex]
- Let's expand and evaluate this: [tex]\(4 \times (8 + 3) = 4 \times 11 = 44\)[/tex].
- Therefore, the equivalent evaluated expression for [tex]$4(8 + 3)$[/tex] is 44.
3. Third Expression: [tex]$25 + 10$[/tex]
- Let's evaluate this: [tex]\(25 + 10 = 35\)[/tex].
- Therefore, the equivalent evaluated expression for [tex]$25 + 10$[/tex] is 35.
4. Fourth Expression: [tex]$5(5 + 2)$[/tex]
- Let's expand and evaluate this: [tex]\(5 \times (5 + 2) = 5 \times 7 = 35\)[/tex].
- Therefore, the equivalent evaluated expression for [tex]$5(5 + 2)$[/tex] is 35.
5. Fifth Expression: [tex]$32 + 12$[/tex]
- Let's evaluate this: [tex]\(32 + 12 = 44\)[/tex].
- Therefore, the equivalent evaluated expression for [tex]$32 + 12$[/tex] is 44.
6. Sixth Expression: [tex]$3(2 + 3)$[/tex]
- Let's expand and evaluate this: [tex]\(3 \times (2 + 3) = 3 \times 5 = 15\)[/tex].
- Therefore, the equivalent evaluated expression for [tex]$3(2 + 3)$[/tex] is 15.
7. Seventh Expression: [tex]$10 + 14$[/tex]
- Let's evaluate this: [tex]\(10 + 14 = 24\)[/tex].
- Therefore, the equivalent evaluated expression for [tex]$10 + 14$[/tex] is 24.
8. Eighth Expression: [tex]$2(5 + 7)$[/tex]
- Let's expand and evaluate this: [tex]\(2 \times (5 + 7) = 2 \times 12 = 24\)[/tex].
- Therefore, the equivalent evaluated expression for [tex]$2(5 + 7)$[/tex] is 24.
Now, we can match the expressions on the left to the corresponding values:
[tex]\[
\begin{aligned}
&6 + 9 \quad &\rightarrow &\quad 15,\\
&4(8 + 3) \quad &\rightarrow &\quad 44,\\
&25 + 10 \quad &\rightarrow &\quad 35,\\
&5(5 + 2) \quad &\rightarrow &\quad 35,\\
&32 + 12 \quad &\rightarrow &\quad 44,\\
&3(2 + 3) \quad &\rightarrow &\quad 15,\\
&10 + 14 \quad &\rightarrow &\quad 24,\\
&2(5 + 7) \quad &\rightarrow &\quad 24.
\end{aligned}
\][/tex]
