Practice with One Step Inequalities

One-Step Inequalities Addition/Subtraction

100

x+6>-10

x>-16

200

n-7<-10

n<-3

300

m - 5.1 > 7.2

m > 12.3

400

x+1/3>-2/3

x>-1

500

x - 11/2< 14/3

x<61/6

One-Step Inequalities Multiplicatoin/Division

100

14v ≥ 14

v ≥ 1

200

-2x>4

x<-8

300

-3x≤-9

x≥3

400

-25≥-5x

5≤x

500

4/3x>-8/9

x>-2/3

Inequality Graphs

100

x≥1

closed circle at 1

shaded right

200

x<-3

open circle -3

shaded left

300

-11<x

open circle at -11

shaded right

400

x≠1

open circle at 1

shaded right and left

500

-3≤x<3

closed circle at -3

open circle at 3

shaded between -3 and 3

Challenge Problems

100

3<-5n+2n

n<-1

200

6x+2+6x<14

x<1

300

-3-6(4x+6)>-111

x<3

400

-6(1+7k)+7(1+6k)≤-2

no solution

500

-2(2-2x)-4(x+5)≤24

all real numbers

Word Problems

100

A football team  has 10 players (p) returning to the team from last year. At tryouts, the coach says the team has to have less than 25 players. Write an inequality to express the situation and solve.

10 + p < 25

        p < 15

200

Jade charges $10 per hour (h) when mowing lawns. This week, he wants to earn $50 or greater mowing lawns. Write an inequality to express the situation and solve. 

10h ≥ 50

h ≥ 5

300

You need to earn at least $1,000 this summer. In June you earned $250, and in July you earned $300. How many dollars do you need to earn in August? Write an inequality to express the situation and solve. 

250+300+x≥1000

x≥450

400

More than 450 students went on a field trip. Ten buses were filled and 8 more students traveled in a car. How many students were on each bus? Write an inequality.

8+10x>450

x>44.2

500

More than 450 students went on a field trip. Ten buses were filled and 8 more students traveled in a car. How many students were on each bus? Answer the question.

at least 45 students in each bus.