Which sum or difference is equivalent to the following expression? 2x + 3/4
(1 point)
Responses x/2 + 3/4 x/2 -3/4 3x/4 + 3/4 8x + 24
x/2 + 3/4
The sum or difference equivalent to the expression 2x + 3/4 is:
x/2 + 3/4
To determine which sum or difference is equivalent to the expression 2x + 3/4, we need to simplify it and compare it to the given options.
The expression 2x + 3/4 indicates that we have to add two times "x" and three-fourths. To make comparing easier, we can rewrite the third option as (3x + 3)/4. Now, let's simplify the given expression:
To add two times "x" and three-fourths, we need to have like terms. The coefficient of the x is 2, and there is no other term with x. So, we can write it as 2x. Since 3/4 is already in the form of a fraction, we don't need to do anything with it. Therefore, the simplified expression is 2x + 3/4.
Now let's compare this to the given options:
- x/2 + 3/4: This option has an x term divided by 2, not multiplied by 2, so it is not equivalent.
- x/2 - 3/4: This option has an x term divided by 2, but we are adding it in our original expression, so it is not equivalent.
- (3x + 3)/4: This option matches our simplified expression, 2x + 3/4. Therefore, this is the sum or difference equivalent to the original expression.
So, the correct response is: (3x + 3)/4.