Add: 1/2 * (x + 4) + 1/4 * (4x - 2) Answer should be in mixed number form. (1 point)

1 answer

To find the solution, we simplify the expression:

1/2 * (x + 4) + 1/4 * (4x - 2)
= 1/2 * x + 1/2 * 4 + 1/4 * 4x - 1/4 * 2
= (1/2)x + 2 + (1/4)(4x) - (1/4)(2)
= (1/2)x + 2 + (1/4)(4x) - 1/4(2)
= (1/2)x + 2 + x - 1/2
= (3/2)x + 2 - 1/2
= (3/2)x + 1 1/2

Therefore, the answer in mixed number form is (3/2)x + 1 1/2.