Question

Lucinda uses properties of operations to write an expression equivalent to 9+3(5−a)−7a . Which could be the expression that Lucinda wrote?(1 point) Responses 24−4a 24 minus 4 a 24−10a 24 minus 10 a 60−19a 60 minus 19 a 24−8a

Answer 1

To simplify the expression \(9 + 3(5 - a) - 7a\), we can follow the order of operations:

1. Distribute \(3\) into the parentheses:
\[
3(5 - a) = 15 - 3a
\]
So, the expression becomes:
\[
9 + 15 - 3a - 7a
\]

2. Combine the constants \(9\) and \(15\):
\[
9 + 15 = 24
\]
Now the expression looks like:
\[
24 - 3a - 7a
\]

3. Combine the \(a\) terms:
\[
-3a - 7a = -10a
\]
Thus, the expression simplifies to:
\[
24 - 10a
\]

Therefore, Lucinda could have written the expression \(24 - 10a\).