Mr glass asked his students to write an expression that was equivalent to -5(4x-9) circle the names of any student who correctly completed the task.

Lang citylin EZRA Clarita
-10(2x-4) -20x+45 3(7x-15)-x 5-20(x-2)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

Let's simplify the expression \(-5(4x - 9)\):

\[ -5(4x - 9) = -5 \cdot 4x + -5 \cdot (-9) = -20x + 45 \]

Now, we can compare this result with the students' expressions:

  1. Lang: \(-10(2x-4)\)

    \[ -10(2x - 4) = -10 \cdot 2x + -10 \cdot (-4) = -20x + 40 \quad (\text{not equivalent}) \]

  2. citylin: \(-20x + 45\)

    \[ \text{This is equivalent!} \]

  3. EZRA: \(3(7x - 15) - x\)

    \[ 3(7x - 15) - x = 21x - 45 - x = 20x - 45 \quad (\text{not equivalent}) \]

  4. Clarita: \(5 - 20(x - 2)\)

    \[ 5 - 20(x - 2) = 5 - 20x + 40 = -20x + 45 \quad (\text{this is also equivalent!}) \]

Correct Answers: The students who wrote expressions equivalent to \(-5(4x - 9)\) are citylin and Clarita.