Grade 8 Algebra: Word Problems: Slope and Rate of Change

Name: ______________________Date: ____________Score: ____ / 8

Level 1

What the rate means

1. Solve:
$\text{Tickets}$ $\text{cost}$ $y\text{}$ $\text{=}$ $\text{8x}$ $\text{dollars}$ $\text{for}$ $x\text{}$ $\text{tickets.}$ $\text{Find}$ $\text{the}$ $\text{rate}$ $\text{and}$ $\text{say}$ $\text{what}$ $\text{it}$ $\text{means.}$
2. Solve:
$\text{Pay}$ $\text{is}$ $y\text{}$ $\text{=}$ $\text{12x}$ $\text{dollars}$ $\text{for}$ $x\text{}$ $\text{hours.}$ $\text{Find}$ $\text{the}$ $\text{rate}$ $\text{and}$ $\text{say}$ $\text{what}$ $\text{it}$ $\text{means.}$
3. Solve:
$\text{A}$ $\text{train}$ $\text{goes}$ $y\text{}$ $\text{=}$ $\text{50x}$ $\text{miles}$ $\text{in}$ $x\text{}$ $\text{hours.}$ $\text{Find}$ $\text{the}$ $\text{rate}$ $\text{and}$ $\text{say}$ $\text{what}$ $\text{it}$ $\text{means.}$
4. Solve:
$\text{A}$ $\text{pizza}$ $\text{costs}$ $y\text{}$ $\text{=}$ $\text{3x}$ $\text{+}$ $\text{5}$ $\text{dollars}$ $\text{with}$ $x\text{}$ $\text{toppings.}$ $\text{Find}$ $\text{the}$ $\text{rate}$ $\text{and}$ $\text{say}$ $\text{what}$ $\text{it}$ $\text{means.}$
5. Solve:
$\text{A}$ $\text{plant}$ $\text{is}$ $y\text{}$ $\text{=}$ $\text{2x}$ $\text{+}$ $\text{10}$ $\text{cm}$ $\text{tall}$ $\text{after}$ $x\text{}$ $\text{weeks.}$ $\text{Find}$ $\text{the}$ $\text{rate}$ $\text{and}$ $\text{say}$ $\text{what}$ $\text{it}$ $\text{means.}$
6. Solve:
$\text{A}$ $\text{tank}$ $\text{has}$ $y\text{}$ $\text{=}$ $\text{-4x}$ $\text{+}$ $\text{40}$ $\text{liters}$ $\text{after}$ $x\text{}$ $\text{minutes.}$ $\text{Find}$ $\text{the}$ $\text{rate}$ $\text{and}$ $\text{say}$ $\text{what}$ $\text{it}$ $\text{means.}$
7. Solve:
$\text{Savings}$ $\text{are}$ $y\text{}$ $\text{=}$ $\text{25x}$ $\text{+}$ $\text{100}$ $\text{dollars}$ $\text{after}$ $x\text{}$ $\text{weeks.}$ $\text{Find}$ $\text{the}$ $\text{rate}$ $\text{and}$ $\text{say}$ $\text{what}$ $\text{it}$ $\text{means.}$
8. Solve:
$\text{A}$ $\text{battery}$ $\text{is}$ $\text{at}$ $y\text{}$ $\text{=}$ $\text{-5x}$ $\text{+}$ $\text{60}$ $\text{percent}$ $\text{after}$ $x\text{}$ $\text{hours.}$ $\text{Find}$ $\text{the}$ $\text{rate}$ $\text{and}$ $\text{say}$ $\text{what}$ $\text{it}$ $\text{means.}$