Grade 8 Algebra: Rate of Change and Unit Rates

Name: ______________________Date: ____________Score: ____ / 8

Level 3

Comparing and using rates

1. Solve:
$\text{Ann}$ $\text{reads}$ $\text{45}$ $\text{pages}$ $\text{in}$ $\text{1.5}$ $\text{hours.}$ $\text{Ben}$ $\text{reads}$ $\text{64}$ $\text{pages}$ $\text{in}$ $\text{2}$ $\text{hours.}$ $\text{Who}$ $\text{reads}$ $\text{faster?}$
2. Solve:
$\text{Store}$ $\text{1}$ $\text{sells}$ $\text{6}$ $\text{cans}$ $\text{for}$ $\text{\$4.50.}$ $\text{Store}$ $\text{2}$ $\text{sells}$ $\text{8}$ $\text{cans}$ $\text{for}$ $\text{\$5.60.}$ $\text{Which}$ $\text{is}$ $\text{the}$ $\text{better}$ $\text{buy?}$
3. Solve:
$\text{A}$ $\text{runner}$ $\text{goes}$ $\text{400}$ $m\text{}$ $\text{in}$ $\text{80}$ $s\text{.}$ $\text{A}$ $\text{cyclist}$ $\text{goes}$ $\text{1500}$ $m\text{}$ $\text{in}$ $\text{250}$ $s\text{.}$ $\text{Who}$ $\text{is}$ $\text{faster?}$
4. Solve:
$\text{A}$ $\text{pump}$ $\text{fills}$ $\text{180}$ $L\text{}$ $\text{in}$ $\text{12}$ $\text{minutes.}$ $\text{How}$ $\text{long}$ $\text{to}$ $\text{fill}$ $\text{300}$ $L\text{?}$
5. Solve:
$\text{A}$ $\text{car}$ $\text{uses}$ $\text{3}$ $\text{gallons}$ $\text{for}$ $\text{96}$ $\text{miles.}$ $\text{How}$ $\text{far}$ $\text{can}$ $\text{it}$ $\text{go}$ $\text{on}$ $\text{8}$ $\text{gallons?}$
6. Solve:
$\text{A}$ $\text{lake}$ $\text{drops}$ $\text{from}$ $\text{18}$ $\text{ft}$ $\text{to}$ $\text{12}$ $\text{ft}$ $\text{in}$ $\text{4}$ $\text{days.}$ $\text{Find}$ $\text{the}$ $\text{rate.}$ $\text{At}$ $\text{this}$ $\text{rate,}$ $\text{how}$ $\text{many}$ $\text{more}$ $\text{days}$ $\text{until}$ $\text{it}$ $\text{reaches}$ $\text{0}$ $\text{ft?}$
7. Solve:
$\text{Printer}$ $\text{1}$ $\text{prints}$ $\text{150}$ $\text{pages}$ $\text{in}$ $\text{5}$ $\text{minutes.}$ $\text{Printer}$ $\text{2}$ $\text{follows}$ $y\text{}$ $\text{=}$ $\text{35x,}$ $\text{where}$ $x\text{}$ $\text{is}$ $\text{minutes.}$ $\text{Which}$ $\text{is}$ $\text{faster?}$
8. Solve:
$\text{A}$ $\text{hiker}$ $\text{climbs}$ $\text{from}$ $\text{1200}$ $m\text{}$ $\text{to}$ $\text{2000}$ $m\text{}$ $\text{in}$ $\text{4}$ $\text{hours.}$ $\text{Find}$ $\text{the}$ $\text{rate}$ $\text{of}$ $\text{climb.}$