Linear Inequalities

One-Step/Two Step

100

Solve for p

p - 5<=-16

p<=-11

200

Solve for p

78>=6p

13>=p or p<=13

300

Solve for n

n/-8> -6

n<48

400

Solve for n

7n-9<-72

n<-9

500

Solve for x

2+x/-2<=-8

x>=20

Multi-Step

100

Solve for b

2(7b-8)<96

b<8

200

Solve for x

-4(-8x+8)<=96

x<=4

300

Solve for k

8(2k+2)-2>=-98

k>=-7

400

Solve for k

-26+3k>8(k-7)

k<6

500

Solve for n

3(n-6)>=5(n+2)

n<=-14

Compound

100

Solve for n

-9<9n<=18

-1<n<=2

200

Solve for n

n-3<1 or 4n>24

n<4 or n>6

300

Solve for x

-9<=2x-9<-7

0<=x<1

400

Solve for x

-72<2(5x+4)<8

-8<x<0

500

Solve for a

2a-6>=9+7a or -9+10a>9a+2

a<=-3 or a>11

Word Problems

100

Krystal and her best friend are looking for money under couch cushions at a furniture store. They want to split the money evenly. If they each want at least $20, write and solve an inequality to determine how much money they need to find in the couches.

x/2>=20

x>=40

200

Diapers cost $6 per package. If Jimmy has a budget of no more than $24, write and solve an inequality to determine how many packages of diapers he can buy.

6x<=24

x<=4

300

Mike rented a bike from Destiny's Bikes. It costs $13 to rent a bike, plus $4 per hour. If Mike want to spend less than $73, write and solve an inequality to determine how many hours he can rent the bike.

4x+13<73

x<15

400

If 200 reduced by 6 times my age is at least 44, write and solve an inequality to determine how old I am.

200-6x>=44

x<=26

500

Arjun had some candy to give to his three children. He first took 3 pieces for himself and then evenly divided the rest among his children. If each child received at least 2 pieces, write and solve an inequality to determine how many pieces Arjun started with.

(x-3)/3>=2

x>=9