add 1/2( x + 4) + 1/4 (4x -2) answer should be in mixed number form
To add the given expressions:
1/2(x + 4) + 1/4(4x - 2)
We'll start by simplifying each term separately:
1/2(x + 4) = 1/2 * x + 1/2 * 4 = 1/2x + 2/2 = 1/2x + 1
1/4(4x - 2) = 1/4 * 4x + 1/4 * (-2) = 1x - 1/2 = x - 1/2
Now we can add the simplified expressions:
(1/2x + 1) + (x - 1/2)
To combine the terms with the same variable (x), we add their coefficients:
1/2x + x = (1/2 + 2/2)x = 3/2x = 1 1/2x
1 + (-1/2) = 2/2 - 1/2 = 1/2
Therefore, the final answer in mixed number form is 1 1/2x + 1/2.
wrong
Apologies for the mistake. Let's go through the problem again:
1/2(x + 4) + 1/4(4x - 2)
First, let's simplify each term separately:
1/2(x + 4) = 1/2 * x + 1/2 * 4 = 1/2x + 2/2 = 1/2x + 1
1/4(4x - 2) = 1/4 * 4x + 1/4 * (-2) = x - 1/2
Now we can add the simplified expressions:
(1/2x + 1) + (x - 1/2)
To combine the terms with the same variable (x), we add their coefficients:
1/2x + x = (1/2 + 2/2)x = 3/2x = 1 1/2x
1 + (-1/2) = 2/2 - 1/2 = 1/2
Therefore, the final answer in mixed number form is 1 1/2x + 1/2.
add: (4d -3) + (12d + 4)
To add the given expressions: (4d - 3) + (12d + 4)
We'll start by combining like terms.
4d + 12d = 16d
-3 + 4 = 1
Therefore, the sum is: 16d + 1.
add: (2m -3) + (3n -1) + (3m +1)
To add the given expressions: (2m - 3) + (3n - 1) + (3m + 1)
We'll start by combining like terms.
2m + 3m = 5m
-3 + 1 = -2
3n remains as it is.
1 remains as it is.
Therefore, the sum is: 5m + 3n - 2 + 1, which can be simplified as: 5m + 3n - 1.
subtract: 2 (10b + 4) - (b -2)
To subtract the given expressions: 2(10b + 4) - (b - 2)
First, we'll simplify the expressions within the parentheses:
2(10b + 4) = 20b + 8
(b - 2) remains as it is.
Now, we can subtract the expressions:
20b + 8 - (b - 2)
To subtract the terms with the same variable (b), we'll subtract their coefficients:
20b - b = 19b
8 - (-2) = 8 + 2 = 10
Therefore, the final answer is: 19b + 10.