1/2 (x + 4) + 1/4 (4x - 2)

Question

answer should be in mixed number form

Answer 1

To find the sum, we need to simplify the expression:

1/2 (x + 4) + 1/4 (4x - 2)

First, distribute 1/2 to (x + 4):

1/2 * x = (1/2)x
1/2 * 4 = 2

So we have:
(1/2)x + 2 + 1/4(4x - 2)

Now distribute 1/4 to (4x - 2):

1/4 * 4x = x
1/4 * -2 = -1/2

So now the expression becomes:
(1/2)x + 2 + x - 1/2

Combine like terms:
(1/2)x + x + 2 - 1/2

Now we can add the x terms and the constant terms separately:

(1/2)x + x = (3/2)x

2 - 1/2 = 3/2

Putting it all together:

(3/2)x + 3/2

In mixed number form, this is:
1 1/2x + 1 1/2

Answer 2

(4d - 3) + (12d + 4)

Answer 3

To find the sum, we need to simplify the expression:

(4d - 3) + (12d + 4)

We can remove the parentheses first:

4d - 3 + 12d + 4

Now, let's combine like terms:

(4d + 12d) + (-3 + 4)

This simplifies to:

16d + 1

The answer in mixed number form is:

16d + 1

Answer 4

(2m - 3) + (3n - 1) + (3m + 1)

Answer 5

To find the sum, we need to simplify the expression:

(2m - 3) + (3n - 1) + (3m + 1)

We can remove the parentheses first:

2m - 3 + 3n - 1 + 3m + 1

Now, let's combine like terms:

(2m + 3m) + (-3 - 1) + (3n + 1)

This simplifies to:

5m - 4 + 3n + 1

Let's further simplify the constants:

5m + 3n - 3

The answer in mixed number form is:

5m + 3n - 3