Question

Select all expressions that are equivalent to this algebraic expression.

(2x−1)−3.25(x+3)


(1 point)
Responses

2x−1−3.25x−9.75
2 x minus 1 minus 3 point 2 5 x minus 9 point 7 5

2x−3.25x−1−9.75
2 x minus 3 point 2 5 x minus 1 minus 9 point 7 5

−1.25x−1−9.75
negative 1 point 2 5 x minus 1 minus 9 point 7 5

−1.25x−10.75
negative 1 point 2 5 x minus 10 point 7 5

2x−1−3.25x+9.75
2 x minus 1 minus 3 point 2 5 x plus 9 point 7 5

1.25x+10.75
1 point 2 5 x plus 10 point 7 5

−1.25x−4

Answer 1

a b c or d

Answer 2

To determine which of the given expressions are equivalent to the expression \((2x−1)−3.25(x+3)\), we start by simplifying it step-by-step.

1. Distribute the \(-3.25\) into \((x + 3)\):
\[
-3.25(x + 3) = -3.25x - 9.75
\]

2. Substitute this back into the original expression:
\[
(2x - 1) - (3.25x + 9.75)
\]

3. Now simplify this:
\[
= 2x - 1 - 3.25x - 9.75
\]
Combine like terms:
\[
= (2x - 3.25x) + (-1 - 9.75)
\]
\[
= -1.25x - 10.75
\]

Now we can look at the provided options and see which ones are equivalent to \(-1.25x - 10.75\):

1. **Option 1**: \(2x−1−3.25x−9.75\)
- This simplifies to \(-1.25x - 10.75\) (equivalent).

2. **Option 2**: \(2x−3.25x−1−9.75\)
- This also simplifies to \(-1.25x - 10.75\) (equivalent).

3. **Option 3**: \(-1.25x−1−9.75\)
- This simplifies to \(-1.25x - 10.75\) (equivalent).

4. **Option 4**: \(-1.25x−10.75\)
- This is exactly \(-1.25x - 10.75\) (equivalent).

5. **Option 5**: \(2x−1−3.25x+9.75\)
- This simplifies to \(-1.25x + 8.75\) (not equivalent).

6. **Option 6**: \(1.25x+10.75\)
- This simplifies to \(1.25x + 10.75\) (not equivalent).

7. **Option 7**: \(-1.25x−4\)
- This simplifies to \(-1.25x - 4\) (not equivalent).

So, the equivalent expressions to \((2x−1)−3.25(x+3)\) are:

- **Option 1**: \(2x−1−3.25x−9.75\)
- **Option 2**: \(2x−3.25x−1−9.75\)
- **Option 3**: \(-1.25x−1−9.75\)
- **Option 4**: \(-1.25x−10.75\)