Grade 8 Algebra: Writing Inequalities

Name: ______________________Date: ____________Score: ____ / 6

Level 1

Simple statements

1. Write an inequality:
$x\text{}$ $\text{is}$ $\text{greater}$ $\text{than}$ $\text{5}$
2. Write an inequality:
$y\text{}$ $\text{is}$ $\text{less}$ $\text{than}$ $\text{3}$
3. Write an inequality:
$n\text{}$ $\text{is}$ $\text{at}$ $\text{least}$ $\text{10}$
4. Write an inequality:
$m\text{}$ $\text{is}$ $\text{at}$ $\text{most}$ $\text{7}$
5. Write an inequality:
$k\text{}$ $\text{is}$ $\text{no}$ $\text{more}$ $\text{than}$ $\text{4}$
6. Write an inequality:
$p\text{}$ $\text{is}$ $\text{more}$ $\text{than}$ $\text{-2}$

Name: ______________________Date: ____________Score: ____ / 6

Expressions with operations

1. Write an inequality:
$\text{twice}$ $\text{a}$ $\text{number}$ $x\text{}$ $\text{is}$ $\text{greater}$ $\text{than}$ $\text{12}$
2. Write an inequality:
$\text{a}$ $\text{number}$ $n\text{}$ $\text{plus}$ $\text{4}$ $\text{is}$ $\text{less}$ $\text{than}$ $\text{9}$
3. Write an inequality:
$\text{5}$ $\text{less}$ $\text{than}$ $y\text{}$ $\text{is}$ $\text{at}$ $\text{least}$ $\text{8}$
4. Write an inequality:
$\text{the}$ $\text{quotient}$ $\text{of}$ $m\text{}$ $\text{and}$ $\text{3}$ $\text{is}$ $\text{at}$ $\text{most}$ $\text{6}$
5. Write an inequality:
$\text{3}$ $\text{times}$ $k\text{,}$ $\text{minus}$ $\text{1,}$ $\text{is}$ $\text{greater}$ $\text{than}$ $\text{11}$
6. Write an inequality:
$\text{half}$ $\text{of}$ $p\text{}$ $\text{is}$ $\text{no}$ $\text{less}$ $\text{than}$ $\text{4}$

Name: ______________________Date: ____________Score: ____ / 6

Real-life situations

1. Write an inequality:
$\text{You}$ $\text{must}$ $\text{be}$ $\text{at}$ $\text{least}$ $\text{48}$ $\text{inches}$ $\text{tall}$ $\text{to}$ $\text{ride.}$ $\text{Use}$ $h\text{}$ $\text{for}$ $\text{height.}$
2. Write an inequality:
$\text{A}$ $\text{bag}$ $\text{can}$ $\text{hold}$ $\text{at}$ $\text{most}$ $\text{20}$ $\text{pounds.}$ $\text{Use}$ $w\text{}$ $\text{for}$ $\text{weight.}$
3. Write an inequality:
$\text{The}$ $\text{speed}$ $\text{limit}$ $\text{is}$ $\text{65}$ $\text{miles}$ $\text{per}$ $\text{hour.}$ $\text{Your}$ $\text{speed}$ $s\text{}$ $\text{cannot}$ $\text{be}$ $\text{more.}$
4. Write an inequality:
$\text{Tickets}$ $\text{cost}$ $\text{8}$ $\text{dollars}$ $\text{each}$ $\text{and}$ $\text{you}$ $\text{have}$ $\text{50}$ $\text{dollars.}$ $\text{Use}$ $t\text{}$ $\text{for}$ $\text{tickets.}$
5. Write an inequality:
$\text{You}$ $\text{want}$ $\text{to}$ $\text{earn}$ $\text{more}$ $\text{than}$ $\text{100}$ $\text{dollars}$ $\text{at}$ $\text{12}$ $\text{dollars}$ $\text{per}$ $\text{hour.}$ $\text{Use}$ $h\text{}$ $\text{for}$ $\text{hours.}$
6. Write an inequality:
$\text{A}$ $\text{plan}$ $\text{costs}$ $\text{20}$ $\text{dollars}$ $\text{plus}$ $\text{5}$ $\text{dollars}$ $\text{per}$ $\text{GB}$ $g\text{,}$ $\text{and}$ $\text{must}$ $\text{stay}$ $\text{under}$ $\text{45}$ $\text{dollars.}$