Question

Simplify the algebraic expressions
Show work

-11x + 5x

9v + 7 - 3v - v

7 - 2y + 12

Answer 1

Let's simplify each of the provided algebraic expressions one by one.

### Expression 1: \(-11x + 5x\)

1. Combine like terms (terms that have the same variable):
\[
-11x + 5x = (-11 + 5)x
\]
\[
-11 + 5 = -6
\]
Therefore,
\[
-11x + 5x = -6x
\]

### Expression 2: \(9v + 7 - 3v - v\)

1. Combine the like terms (the terms with \(v\)):
\[
9v - 3v - v = (9 - 3 - 1)v
\]
\[
9 - 3 - 1 = 5
\]
Therefore, we have:
\[
9v - 3v - v = 5v
\]

2. Now, include the constant:
\[
5v + 7
\]
So, the simplified expression is:
\[
5v + 7
\]

### Expression 3: \(7 - 2y + 12\)

1. Combine the constant terms (the numbers):
\[
7 + 12 = 19
\]
Therefore:
\[
7 - 2y + 12 = 19 - 2y
\]

So, the final simplified expressions for each part are:

1. \(-6x\)
2. \(5v + 7\)
3. \(19 - 2y\)