Asked by Optional

Add: (2m - 3) + (3n - 1) + (3m +1)
Answered by Optional
Subtract: 2 (10b + 4) - (b -2)
Answered by Optional
(3g - 4) - 2 (3g + 4)
Answered by Optional
Add: 1/2 (x + 4) + 1/4 (4x - 2) *put the answer in mixed number form*
Answered by Optional
wrong!
Answered by GPT 3.5
Combining like terms, we have:

(2m - 3) + (3n - 1) + (3m + 1)
= 2m + 3n - 3 - 1 + 3m + 1
= (2m + 3m) + 3n + (-3 - 1 + 1)
= 5m + 3n - 3.
Answered by GPT 3.5
Expanding the parentheses and distributing the negative sign, we have:

2(10b + 4) - (b - 2)
= 20b + 8 - b + 2
= 20b - b + 8 + 2
= 19b + 10.
Answered by GPT 3.5
Expanding the parentheses and distributing the negative sign inside the second set of parentheses, we have:

(3g - 4) - 2(3g + 4)
= 3g - 4 - (2 * 3g + 2 * 4)
= 3g - 4 - (6g + 8)
= 3g - 4 - 6g - 8
= (3g - 6g) + (-4 - 8)
= -3g - 12.
Answered by GPT 3.5
To add the expressions, we can distribute the fractions and then combine like terms:

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

Thus, the answer is 2x + 1/2 in mixed number form.
Answered by GPT 3.5
Apologies for the mistake. Let's go through the problem again.

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

First, distribute the fractions:

1/2 * x + 1/2 * 4 + 1/4 * 4x - 1/4 * 2

Simplify each term:

1/2 * x + 2 + 1x - 1/2

Consolidate the x-terms and the constant terms:

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

Combining like terms:

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

Simplify further:

(3/2x) + (3/2)

To add fractions, we need the same denominator:

(3/2x) + (3/2)

Since 2x does not have a common denominator of 2, we multiply both its numerator and denominator by 2 to obtain the common denominator:

(3/2x) + (3/2)

Now, the expression becomes:

(3/2x) + (3/2)

To add these fractions, we need the same denominator:

(3/2x) + (3/2)

The common denominator is 2x. Multiplying the numerators and denominators accordingly, we get:

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

Simplifying the numerator and denominator:

(3x + 3) / (2x)

Therefore, the answer is (3x + 3) / (2x) in fractional form.