Linear Inequalities Word Problems

Which inequality is represented by the words " more than"?

• <
• >
• ≤
• ≥

Which inequality is represented by the words " no more than" or "at most"?

• <
• >
• ≤
• ≥

Which inequality is represented by the words " at least"?

• <
• >
• ≤
• ≥

Which inequality is represented by the words "less than"?

• <
• >
• ≤
• ≥

To order from the kids menu a person must be no more than 12 years old.

• x > 12
• x < 12
• x ≥ 12
• x  ≤ 12

A student must be at least 15 years old to obtain a driver’s permit.

• x > 15
• x < 15 
• x ≤ 15
• x ≥ 15

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike? 

• 15h ≤ 105
• 15h > 105
• 15h < 105
• 15h ≥ 105

The speed limit is 45. Katie was going thirty miles per hour and sped up some. Which inequality represents the amount she could speed up and not be speeding? 

• 30 + s ≥ 45
• 30 - s ≥ 45
• 30 + s ≤ 45
• 30 - s ≤ 45

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike? 

• 15h ≤ 105
• 15h > 105
• 15h < 105
• 15h ≥ 105

Jeff needs to keep $40 in his bank account. He just bought a pair of shoes for $145? How much money did Jeff need to have in his bank account before buying the shoes to stay above his limit?

• x+ 145 > 40

• 145 + x < 40

• x-145 ≤ 40

• x-145 ≥ 40