Select the TWO expressions that are equivalent to this algebraic expression:

Question

−5(3x−9)


(2 points)
Responses

5×3x+9
5 times 3 x plus 9

−5×3x+−5×(−9)
negative 5 times 3 x plus negative 5 times negative 9

15x−9
15 x minus 9

−15x−45
negative 15 x minus 45

−5×3x−5×9
negative 5 times 3 x minus 5 times 9

−15x+45
negative 15 x plus 45

−15x−9

Answer 1

To find the expressions that are equivalent to \(-5(3x - 9)\), let's first simplify the original expression:

\[ -5(3x - 9) = -5 \cdot 3x - 5 \cdot (-9) = -15x + 45 \]

Now we can compare this result to the provided options and select those that are equivalent:

1. \( -5 \times 3x + -5 \times (-9) \) simplifies to \( -15x + 45 \) (equivalent)

2. \( -15x + 45 \) (equivalent)

Thus, the two expressions that are equivalent to \(-5(3x-9)\) are:

• \( -5 \times 3x + -5 \times (-9) \)
• \( -15x + 45 \)