Question

When you have a problem like 3(x+1/2)-1/3x+11 what are the steps? I came up with 3x+3_1/2-1/3x+11 and then simplified to 2_2/3x+14_1/2 and simplified that to 8/3x+29/2. The question asks me to simplify the expression if I can. If it cannot be simplified then express so.

Answer 1

is it
\[3(x+\frac{1}{2})-\frac{1}{3}x+11\]?

Answer 2

Yes

Answer 3

first step is to multiply using distributive property

Answer 4

\[3x+\frac{3}{2}-\frac{1}{3}x+11\] then combine like terms

Answer 5

I did that. But it keeps telling me it is wrong when I simplify all the way down.

Answer 6

but \(3\times \frac{1}{2}=\frac{3}{2}=1\tfrac{1}{2}\) not \(3\tfrac{1}{2}\)

Answer 7

3_1/2x

Answer 8

lets forget about mixed numbers

Answer 9

\[3x+3\frac{ 1 }{ 2 }-\frac{ 1 }{ 3 }x+11\]

Answer 10

that is a mistake

Answer 11

Combined terms would equal \[2\frac{ 2 }{ 3 }+14\frac{ 1 }{ 2 }\]

Answer 12

forgot the x on the first part.

Answer 13

lets try again
parentheses mean multiplication, not addition
so
\[3(x+\frac{1}{2}=3\times x+3\times \frac{1}{2}=3x+\frac{3}{2}\]

Answer 14

you have \(3\tfrac{1}{2}\)and it is a mistake, it should be \(\frac{3}{2}\)

Answer 15

I see what I did wrong I think... it should come out to be \[\frac{ 8 }{ 3 }x+\frac{ 25 }{ 2 }\]

Answer 16

I still don't see how you are coming up with 3/2

Answer 17

3x-1/3x = 2_2/3x then 1_1/2 + 11 = 12_1/2

Answer 18

I found the correct answer now. Thanks for the reminder!