HSA.SSE.A.1 Tutor Intake — Interpreting Algebraic Expressions

In the expression $30m$, which statement BEST describes what the
coefficient $30$ represents in the context: "A gym charges $30 per
month for membership, and $m$ is the number of months"?

In the expression $8t + 5$, which statement BEST describes what
the variable $t$ represents in the context: "A concert venue charges
$8 per ticket plus a $5 processing fee per order"?

The compound interest formula is $A = P(1+r)^{n}$.
How many main factors does the expression $P(1+r)^{n}$ have?

In the expression $7a^3 - 2a^2 + 5a - 9$, what is the coefficient
of $a^2$?

A company's profit (in dollars) from selling $x$ units is modeled
by $50x - 20x - 200$.

Before simplifying, the term $50x$ represents revenue and $20x$
represents variable costs per unit. What is the profit when
$x = 10$ units? Enter a number.

In the expression $6(2x - 3)$, the quantity $(2x - 3)$ is a
  ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   (term / factor / coefficient) of the expression.