One-Step Inequalities
Two-step Inequalities
Inequalities with Integers
Inequality Models
Word Problems
100
`x+5<8`
`x<3`
100
`10x+3<23`
`x<2`
100
`x-4> -5`
`x> -1`
100
What is the solution set for this inequality?
`x<1`
100
Write the inequality to represent this:
Jacob has $100 in his savings account. He plans to add $20 per week from his lawn mowing job. How many weeks will it take for Jacob to have more than $800 in his account?
`100+20x>800`
200
`x-10>=5`
`x>=15`
200
`1/2x-3>2`
`x>10`
200
`-6x<=30`
`x>= -5`
200
What is the solution set for the inequality shown?
`x>1`
200
Write the inequality to represent this:
Shelby is saving to attend a summer camp. She needs $250 to register. Her parents give her $75. She will raise the rest of the money by babysitting for $12 per hour. What is the minimum number of hours Shelby must babysit to attend camp?
`75+12x>=250`
300
`2x>14`
`x>7`
300
`4x-1<=11`
`x<=3`
300
`2x-7> -5`
`x>1`
300
Find the solution set.
`x<= -3`
300
Write the inequality to represent:
Mae has 50 signatures for a petition. She plans to get 10 signatures per lunch period. How many lunch periods will it take for Mae to have at least 300 signatures?
`50+10x>=300`
400
`x/6<=2`
`x<=12`
400
`1/3x+9>12`
`x>9`
400
`x/5-15>= -5`
`x>=50`
400
What is the solution set for this inequality?
`x> -2`
400
Write an inequality to represent:
Ms. McKenney can carry 50 pounds of pumpkins at most in her cart. She already has a 12 pound pumpkin. She is picking out more pumpkins that weigh 5 pounds each. How many more pumpkins can Ms. McKenney load in her cart?
`12+5x<=50`
500
`5x>24`
`x>24/5`
500
`4x+3<=25`
`x<=5.5`
500
`-2x+8> -2`
`x<5`
500
Find the solution set.
`x<1`
500
Write the inequality to represent:
Katelyn wants to buy three necklaces and a ring and cannot spend more than $80. The ring costs $30. If the three necklaces cost the same price, then how much can she pay for each necklace?
`30+3x<=80`