Question

7x-3+2x+6 Simplify the expression by combining like terms. A5x + 9B12xC9x + 3D9x - 3

Answer 1

Simplify by using the distributive property. -3(2x-4)

Answer 2

To simplify the expression \(7x - 3 + 2x + 6\), we can combine like terms.

1. Combine the \(x\) terms:
\[
7x + 2x = 9x
\]

2. Combine the constant terms:
\[
-3 + 6 = 3
\]

Putting it all together, we get:
\[
9x + 3
\]

Now, let's match this with the options provided:

A. \(5x + 9\)
B. \(12x\)
C. \(9x + 3\)
D. \(9x - 3\)

The simplified expression \(9x + 3\) corresponds to option **C**.

Answer 3

To simplify the expression \(-3(2x - 4)\) using the distributive property, you need to multiply \(-3\) by each term inside the parentheses.

1. Distribute \(-3\) to \(2x\):
\[
-3 \cdot 2x = -6x
\]

2. Distribute \(-3\) to \(-4\):
\[
-3 \cdot (-4) = 12
\]

Now, combine these results:
\[
-6x + 12
\]

So, the simplified expression is:
\[
-6x + 12
\]