Grade 8 Algebra: Word Problems: Linear Functions

Name: ______________________Date: ____________Score: ____ / 8

Level 1

Writing equations

1. Solve:
$\text{A}$ $\text{gym}$ $\text{charges}$ $\text{a}$ $\text{20}$ $\text{dollar}$ $\text{sign-up}$ $\text{fee}$ $\text{plus}$ $\text{15}$ $\text{dollars}$ $\text{per}$ $\text{month.}$ $\text{Write}$ $\text{an}$ $\text{equation}$ $\text{for}$ $\text{the}$ $\text{total}$ $\text{cost}$ $y\text{}$ $\text{after}$ $x\text{}$ $\text{months.}$
2. Solve:
$\text{A}$ $\text{plant}$ $\text{is}$ $\text{4}$ $\text{cm}$ $\text{tall}$ $\text{and}$ $\text{grows}$ $\text{2}$ $\text{cm}$ $\text{per}$ $\text{week.}$ $\text{Write}$ $\text{an}$ $\text{equation}$ $\text{for}$ $\text{its}$ $\text{height}$ $y\text{}$ $\text{after}$ $x\text{}$ $\text{weeks.}$
3. Solve:
$\text{A}$ $\text{taxi}$ $\text{charges}$ $\text{3}$ $\text{dollars}$ $\text{plus}$ $\text{2}$ $\text{dollars}$ $\text{per}$ $\text{mile.}$ $\text{Write}$ $\text{an}$ $\text{equation}$ $\text{for}$ $\text{the}$ $\text{cost}$ $y\text{}$ $\text{of}$ $\text{a}$ $\text{ride}$ $\text{of}$ $x\text{}$ $\text{miles.}$
4. Solve:
$\text{Sam}$ $\text{has}$ $\text{50}$ $\text{dollars}$ $\text{and}$ $\text{spends}$ $\text{5}$ $\text{dollars}$ $\text{each}$ $\text{day.}$ $\text{Write}$ $\text{an}$ $\text{equation}$ $\text{for}$ $\text{the}$ $\text{money}$ $y\text{}$ $\text{left}$ $\text{after}$ $x\text{}$ $\text{days.}$
5. Solve:
$\text{A}$ $\text{pool}$ $\text{holds}$ $\text{200}$ $\text{gallons}$ $\text{and}$ $\text{is}$ $\text{filled}$ $\text{at}$ $\text{25}$ $\text{gallons}$ $\text{per}$ $\text{minute}$ $\text{starting}$ $\text{from}$ $\text{empty.}$ $\text{Write}$ $\text{an}$ $\text{equation}$ $\text{for}$ $\text{the}$ $\text{water}$ $y\text{}$ $\text{after}$ $x\text{}$ $\text{minutes.}$
6. Solve:
$\text{A}$ $\text{phone}$ $\text{plan}$ $\text{costs}$ $\text{30}$ $\text{dollars}$ $\text{per}$ $\text{month}$ $\text{plus}$ $\text{10}$ $\text{dollars}$ $\text{per}$ $\text{GB}$ $\text{of}$ $\text{data.}$ $\text{Write}$ $\text{an}$ $\text{equation}$ $\text{for}$ $\text{the}$ $\text{monthly}$ $\text{cost}$ $y\text{}$ $\text{for}$ $x\text{}$ $\text{GB.}$
7. Solve:
$\text{A}$ $\text{candle}$ $\text{is}$ $\text{12}$ $\text{in}$ $\text{tall}$ $\text{and}$ $\text{burns}$ $\text{1}$ $\text{in}$ $\text{per}$ $\text{hour.}$ $\text{Write}$ $\text{an}$ $\text{equation}$ $\text{for}$ $\text{its}$ $\text{height}$ $y\text{}$ $\text{after}$ $x\text{}$ $\text{hours.}$
8. Solve:
$\text{A}$ $\text{worker}$ $\text{earns}$ $\text{18}$ $\text{dollars}$ $\text{per}$ $\text{hour}$ $\text{plus}$ $\text{a}$ $\text{40}$ $\text{dollar}$ $\text{bonus.}$ $\text{Write}$ $\text{an}$ $\text{equation}$ $\text{for}$ $\text{the}$ $\text{pay}$ $y\text{}$ $\text{for}$ $x\text{}$ $\text{hours.}$