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 \(24 - 10a\).