Question

Simplify the expressions below a+2b+5+3a+b 12−a+a+12 4x−12+4x

Answer 1

Answer:

A. 4a + 3b + 5

B. 24

C. 8x - 12

Step-by-step 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