7.EE Tutor Intake — Expressions and Equations

Which of the following pairs are like terms?

A store reduces all prices by 12%. Which expression represents the
sale price of an item that originally costs $p$ dollars?

When you multiply or divide both sides of an inequality by a
negative number, what happens to the inequality symbol?

Simplify: $4x - \dfrac{1}{2}x + 3x$. Enter your answer in the form
$ax$ (e.g., $6.5x$).

Expand: $-3(2x - 5)$. Enter the expanded expression (e.g., $ax + b$).

Factor: $6x + 9$. Write as a product in the form $a(bx + c)$ with
$a$ as the greatest common factor (e.g., $2(3x + 4)$).

Solve for $x$: $3x + 7 = 22$. Enter the value of $x$.

Solve for $x$: $4(x + 3) = 28$. Enter the value of $x$.

A store sells notebooks for \1.50$each and pens for$$0.75$each. Maya buys 4 notebooks and some pens and spends$$9$ in total.
How many pens did she buy?

A taxi charges a flat fee of \3$plus$$2$per mile. Jaylen has$$15$to spend. Which equation can be solved to find the maximum number of miles$m$ he can travel?

A taxi charges a $3 flat fee plus $2 per mile. After solving the
equation $2m + 3 = 15$, you find $m = 6$. What does $m = 6$ mean
in this context?