Grade 8 Algebra: Word Problems: Inequalities

Name: ______________________Date: ____________Score: ____ / 6

Level 2

Two-step situations

1. Write an inequality and solve:
$\text{A}$ $\text{gym}$ $\text{costs}$ $\text{20}$ $\text{dollars}$ $\text{to}$ $\text{join}$ $\text{plus}$ $\text{15}$ $\text{dollars}$ $\text{per}$ $\text{month.}$ $\text{The}$ $\text{budget}$ $\text{is}$ $\text{at}$ $\text{most}$ $\text{110}$ $\text{dollars.}$ $\text{How}$ $\text{many}$ $\text{months}$ $m\text{?}$
2. Write an inequality and solve:
$\text{A}$ $\text{taxi}$ $\text{charges}$ $\text{4}$ $\text{dollars}$ $\text{plus}$ $\text{2}$ $\text{dollars}$ $\text{per}$ $\text{mile.}$ $\text{You}$ $\text{can}$ $\text{spend}$ $\text{at}$ $\text{most}$ $\text{20}$ $\text{dollars.}$ $\text{How}$ $\text{many}$ $\text{miles}$ $m\text{?}$
3. Write an inequality and solve:
$\text{Kim}$ $\text{has}$ $\text{50}$ $\text{dollars}$ $\text{and}$ $\text{spends}$ $\text{7}$ $\text{dollars}$ $\text{per}$ $\text{week.}$ $\text{After}$ $\text{how}$ $\text{many}$ $\text{weeks}$ $w\text{}$ $\text{will}$ $\text{she}$ $\text{have}$ $\text{less}$ $\text{than}$ $\text{15}$ $\text{dollars?}$
4. Write an inequality and solve:
$\text{Cookies}$ $\text{sell}$ $\text{for}$ $\text{3}$ $\text{dollars}$ $\text{each}$ $\text{and}$ $\text{supplies}$ $\text{cost}$ $\text{24}$ $\text{dollars.}$ $\text{The}$ $\text{profit}$ $\text{must}$ $\text{be}$ $\text{at}$ $\text{least}$ $\text{60}$ $\text{dollars.}$ $\text{How}$ $\text{many}$ $\text{cookies}$ $c\text{?}$
5. Write an inequality and solve:
$\text{A}$ $\text{phone}$ $\text{plan}$ $\text{costs}$ $\text{30}$ $\text{dollars}$ $\text{plus}$ $\text{0.10}$ $\text{dollars}$ $\text{per}$ $\text{text.}$ $\text{Keep}$ $\text{the}$ $\text{bill}$ $\text{under}$ $\text{45}$ $\text{dollars.}$ $\text{How}$ $\text{many}$ $\text{texts}$ $t\text{?}$
6. Write an inequality and solve:
$\text{A}$ $\text{pool}$ $\text{has}$ $\text{120}$ $\text{liters}$ $\text{and}$ $\text{fills}$ $\text{at}$ $\text{40}$ $\text{liters}$ $\text{per}$ $\text{minute.}$ $\text{After}$ $\text{how}$ $\text{many}$ $\text{minutes}$ $m\text{}$ $\text{will}$ $\text{it}$ $\text{have}$ $\text{at}$ $\text{least}$ $\text{400}$ $\text{liters?}$