Question

9. Simplify 1/2 (4a + b) - 1/4 (4a + b)

А. a
B. a + 1/4 b
C. 2a + 1/4 b
D. 2a - b

Answer 1

B.
`a + (1)/(4) b` ✅

Step-by-step Step-by-step explanation:

`(1)/(2) (4a + b) - (1)/(4) (4a + b) \\ = (4a + b)/(2) - (4a + b)/(4) \\ = (2(4a + b))/(2 * 2) - (4a + b)/(4) \\ = (8a + 2b)/(4) - (4a + b)/(4) \\ = (8a + 2b - 4a - b)/(4) \\ = (4a + b)/(4) \\ = (4a)/(4) + (b)/(4) \\ = a \: + (1)/(4) b`

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Answer 2

B: a+ 1/4b Hope this helps!