Add: 1/2(x+4)+14(4x−2) . Answer should be in mixed number form.(1 point)
To solve the expression in mixed number form, let's simplify the expression:
1/2(x+4) + 14(4x-2)
First, distribute 14 to the terms inside the parentheses:
1/2(x+4) + 56x - 28
Next, apply the distributive property to the 1/2:
1/2 * x + 1/2 * 4 + 56x - 28
Simplify:
1/2x + 2/2 + 56x - 28
Combine like terms:
56x + 1/2x + 2/2 - 28
To add 1/2x and 56x, we need a common denominator. The least common multiple of 2 and 1 is 2:
56x + 1/2 * 2/2x + 2/2 - 28
Now, the expression is:
56x + 2/2x + 2/2 - 28
Simplify the terms:
58x + 2/2x + 2/2 - 28
Since 2 divided by 2 equals 1, we can write it as 1:
58x + 1x + 1 - 28
Combine like terms:
59x + 1 - 28
Simplify:
59x - 27
Therefore, the simplified expression in mixed number form is: 59x - 27.
wrong
Apologies for the mistake. Let's go through the expression again:
1/2(x+4) + 14(4x-2)
First, distribute 1/2 to the terms inside the parentheses:
(1/2) * x + (1/2) * 4 + 14(4x) - 14(2)
Simplify:
1/2x + 2/2 + 56x - 28
Combine like terms:
56x + 1/2x + 2/2 - 28
To add 1/2x and 56x, we need a common denominator. The least common multiple of 2 and 1 is 2:
56x + (1/2) * 2/2x + 2/2 - 28
Now, the expression is:
56x + (2/2x) + 2/2 - 28
Simplify the terms:
56x + 1x + 1 - 28
Combine like terms:
57x + 1 - 28
Simplify:
57x - 27
Therefore, the simplified expression in mixed number form is: 57x - 27.
wrong
put it in mixed number form
Apologies for the mistake. To put the expression in mixed number form, we need to divide the coefficient of x by the denominator and write it as a mixed number.
The expression is 57x - 27.
The coefficient of x is 57.
To write it as a mixed number, we divide 57 by the denominator (which is 1): 57 ÷ 1 = 57.
The quotient is 57, and there is no remainder.
Therefore, the expression in mixed number form is 57x - 27.
don't simplify
I apologize for the confusion. Let's rewrite the expression without simplifying it:
1/2(x+4) + 14(4x-2)
To keep the expression in the mixed number form, we won't simplify it further.