Answer:
A. 4a + 3b + 5
B. 24
C. 8x - 12
Explanation:
a + 2b + 5 + 3a + b
To simplify this, we'll want to group the similar terms together. In other words, put all of the a's first, then all of the b's, then just the numbers.
a + 2b + 5 + 3a + b
a + 3a + 2b + b + 5
Now, we want to add those similar terms, according to this:
a + a = 2a
So in our expression, we first have
a + 3a = 4a
then
2b + b = 3b
and finally 5, which is just... 5.
Thus, our expression simplified is:
4a + 3b + 5
Now let's do the same for the other expressions.
12 - a + a + 12
First, group them.
12 + 12 - a + a
Then, add them. Let's see, first 12 + 12:
12 + 12 = 24
Then -a + a:
- a + a = 0
24 + 0 = 24
Our 2nd expression, simplified, is just 24.
Finally,
4x - 12 + 4x
First group the x's:
4x + 4x - 12
And then add them, first 4x + 4x:
4x + 4x = 8x
And of course, -12 is just -12.
Thus, our third expression simplified is:
8x - 12
A. 4a + 3b + 5
B. 24
C. 8x - 12