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? A 24 - 10a. B 24 - 8a. C 24 - 4a. D 60 - 19a.

Answer 1

To write the expression equivalent to 9 + 3 ( 5 - a ) - 7a, we can start by using the distributive property to multiply 3 by both terms inside the parentheses:

9 + 3 * 5 - 3 * a - 7a

This simplifies to:

9 + 15 - 3a - 7a

Next, we can combine like terms by adding the constants (9 and 15) and combining the "a" terms (-3a and -7a):

24 - 10a

Therefore, the expression that Lucinda wrote is 24 - 10a, which corresponds to option A.