To determine which of the given expressions are equivalent to 44, let's evaluate each one step by step:
1. Evaluate [tex]\( 4(-3 + 15) \)[/tex]
[tex]\[
-3 + 15 = 12
\][/tex]
[tex]\[
4 \times 12 = 48
\][/tex]
Since [tex]\( 4(-3 + 15) = 48 \)[/tex], it is not equivalent to 44.
2. Evaluate [tex]\( 4(4 + 2 + 5) \)[/tex]
[tex]\[
4 + 2 + 5 = 11
\][/tex]
[tex]\[
4 \times 11 = 44
\][/tex]
Since [tex]\( 4(4 + 2 + 5) = 44 \)[/tex], it is equivalent to 44.
3. Evaluate [tex]\( 4(7 + 2 + 3) \)[/tex]
[tex]\[
7 + 2 + 3 = 12
\][/tex]
[tex]\[
4 \times 12 = 48
\][/tex]
Since [tex]\( 4(7 + 2 + 3) = 48 \)[/tex], it is not equivalent to 44.
4. Evaluate [tex]\( 4(8 + 6 - 2) \)[/tex]
[tex]\[
8 + 6 - 2 = 12
\][/tex]
[tex]\[
4 \times 12 = 48
\][/tex]
Since [tex]\( 4(8 + 6 - 2) = 48 \)[/tex], it is not equivalent to 44.
5. Evaluate [tex]\( 4(-2 - 3 + 16) \)[/tex]
[tex]\[
-2 - 3 + 16 = 11
\][/tex]
[tex]\[
4 \times 11 = 44
\][/tex]
Since [tex]\( 4(-2 - 3 + 16) = 44 \)[/tex], it is equivalent to 44.
Thus, the expressions that are equivalent to 44 are:
[tex]\[
4(4+2+5) \quad \text{and} \quad 4(-2-3+16)
\][/tex]
