6.EE.A.3 Tutor Intake -- Equivalent Expressions

Which expression is equivalent to $3(2 + x)$?

Two expressions are called equivalent when they produce the same
value for every value of the variable. Evaluate $3(2 + x)$ and
$6 + 3x$ at $x = 4$. What value do BOTH expressions equal?

A student factors $24x + 18y$ as $2(12x + 9y)$. Is this expression
written with the greatest common factor (GCF) pulled out?

Which expression is equivalent to $y + y + y$?

Expand $5(a + 3)$ and write the result in the form $5a + n$.
Enter the numerical value of $n$.

Expand $2(x + 4 + y)$. In the expanded form, what is the
coefficient of $y$?

Expand $3(x - 2)$ and write the result in the form $3x - n$.
Enter the numerical value of $n$.

Factor $15a + 10b$ completely. Once factored as $g(pa + qb)$, what
is the greatest common factor $g$ that was pulled out?

A student factors $24x + 18y$ as $6(4x + 3y)$. Which statement
checks whether this is correct?

Simplify $4a + 7 + 2a - 3$ by combining like terms. Write the
result in the form $ka + n$. Enter the numerical value of $k$.