Select all expressions that are equivalent to this algebraic expression.

Question

(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

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: \(-1.25x−10.75\)

Answer 2

a b c or d