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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

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