An expression is given: (2x – 1) – 3.25(x + 3)

Question

a) -1.25x – 4.00
b) -1.25x - 3.25
c) -1.25x + 10.75
d) -1.25x - 10.75

Answer 1

To simplify the expression \((2x - 1) - 3.25(x + 3)\), we will follow these steps:

1. Distribute \(-3.25\) to both terms inside the parentheses.
2. Combine like terms.

Let's start simplifying:

\[ (2x - 1) - 3.25(x + 3) \]

First, distribute \(-3.25\):

\[ (2x - 1) - (3.25x + 9.75) \]

Now, rewrite the expression considering the distribution:

\[ 2x - 1 - 3.25x - 9.75 \]

Next, combine the \(x\) terms and the constant terms:

1. Combine the \(x\) terms: \[ 2x - 3.25x = -1.25x \]

2. Combine the constant terms: \[ -1 - 9.75 = -10.75 \]

Putting it all together, we get:

\[ -1.25x - 10.75 \]

Thus, the simplified expression is:

\[ -1.25x - 10.75 \]

So, the correct answer is:

d) -1.25x - 10.75.