Question

Simplify the following expressions.
1. 7(9) + 7(5)
2. 2(5x -1) + 14x

Answer 1

Let's simplify each expression step by step.

1. For the expression \( 7(9) + 7(5) \):

We can factor out the common term \( 7 \):

\[
7(9) + 7(5) = 7(9 + 5)
\]

Now, calculate the sum inside the parentheses:

\[
9 + 5 = 14
\]

So, we have:

\[
7(14) = 98
\]

Therefore, the simplified expression is \( 98 \).

2. For the expression \( 2(5x - 1) + 14x \):

First, distribute \( 2 \) to both terms inside the parentheses:

\[
2(5x) - 2(1) + 14x = 10x - 2 + 14x
\]

Next, combine the like terms \( 10x \) and \( 14x \):

\[
10x + 14x = 24x
\]

So, we have:

\[
24x - 2
\]

Therefore, the simplified expression is \( 24x - 2 \).

In summary:

1. \( 7(9) + 7(5) = 98 \)
2. \( 2(5x - 1) + 14x = 24x - 2 \)