Section: Math 0 Likes
Which of the following expressions is equivalent to the expression (December 2020 - D03)
Updated on 05/01/2024
Which of the following expressions is equivalent to the expression below?
-7(5a - b) + 3(-8b + a)
A. −38a − 31b
B. −34a − 25b
C. −34a − 17b
D. −32a − 25b
E. −32a − 17b
Solution
Correct answer: E. −32a − 17b.
To simplify the given expression, distribute the coefficients:
−7(5a − b) + 3(−8b + a) = −35a + 7b − 24b + 3a
Combine like terms:
= −35a + 3a + 7b − 24b = −32a − 17b
So, the expression is equivalent to −32a − 17b, which corresponds to option E.
Exam Edition: December 2020 - D03
Exam Year: 2020
Related topics: Simplification of algebraic expressions, Distribution of coefficients
There are no comments yet.