Question

Which expression is equivalent to 0.25x + 0.5(x + 3.5) + (x-3.5)?

O 0.75x+1.75 + x - 3.5
O 1.75x+4.25
O 1.75x-1.75
O 0.75x1.75 + x + 3.5
0.75x1.75

Answer 1

To simplify the given expression, 0.25x + 0.5(x + 3.5) + (x-3.5), we can follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

Explanation:

First, let's simplify the expression within the parentheses: x + 3.5.

Next, we can distribute the 0.5 to the expression within the parentheses: 0.5(x + 3.5) = 0.5x + 0.5(3.5) = 0.5x + 1.75.

Now, let's substitute these simplified expressions back into the original expression:

0.25x + 0.5x + 1.75 + (x - 3.5).

Next, we can combine like terms by adding or subtracting coefficients of similar variables:

(0.25x + 0.5x + x) + (1.75 - 3.5).

Simplifying further:

(1.75x) + (-1.75).

Finally, combining like terms:

1.75x - 1.75.

Therefore, the expression equivalent to 0.25x + 0.5(x + 3.5) + (x-3.5) is 1.75x - 1.75.

(hope this explanation helps)