Question

Which of the following expressions is always equivalent to -2b + 4 + 4b - 7

a. b + b
b. b divided by 2
c. 2b - 3
d. 2b + 4

Answer 1

c. 2b - 3

Explanation:

Simplify the following:

-2 b + 4 + 4 b - 7

Grouping like terms, -2 b + 4 + 4 b - 7 = (4 b - 2 b) + (4 - 7):

(4 b - 2 b) + (4 - 7)

4 b - 2 b = 2 b:

2 b + (4 - 7)

4 - 7 = -3:

Answer: 2 b + -3