Linear Inequality Word Problems With Two Variables

Stacy has $25 in her savings account. To save more money, Stacy is selling lemonade for $0.50. She wants to have a minimum of $150 in her account. Which inequality represents this situation?

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

• <

• >

• ≤

• ≥

Adam works at a video game store Mon-Fri. He earns $80 per day plus $8 per video game sold. On Thursday, he makes at least $176. Which inequality represents this situation?

Store A charges $10 plus $0.25 per letter for engraving. Store B charges $16 plus $0.15 per letter. Which inequality could be used to determine when Store B will cost less than Store A?

• 10 + 0.25x > 16 + 0.15x

• 10x + 0.25 > 16x + 0.15

• 10 + 0.25x < 16 + 0.15x

• 10x + 0.25 < 16x + 0.15

Store A charges $10 plus $0.25 per letter for engraving. Store B charges $16 plus $0.15 per letter. When will Store B cost less than Store A?

• x > 1.2

• x < 60

• x > 60

• x < 1.2

James weighs 220 pounds and gains 2 pounds per month. Joey weighs 176 pounds and gains 4 pounds per month. Which inequality below could be used to determine after how many months James will weigh less than Joey?

• 220 + 2x > 176 + 4x

• 220 + 2x < 176 + 4x

James weighs 220 pounds and gains 2 pounds per month. Joey weighs 176 pounds and gains 4 pounds per month. After how many months will James weigh less than Joey?

• x < 22

• x > 22

Max’s dog dish contains 34 ounces of water, and Max drinks 4 ounces per hour. Sophie’s dog dish contains 50 ounces of water and she drinks 6 ounces per hour. Which inequality below can be used to determine after how many hours Sophie's dish will have less water than Max's dish?

• 34 - 4x > 50 - 6x

• 34 - 4x < 50 - 6x

Claire’s stamp collection has 100 stamps and she buys 5 new stamps each month. Harriet’s collection has 400 stamps and she sells 15 stamps per month. Which inequality below could be used to determine after how many months Claire will have more stamps than Harriet?

• 100 - 5x > 400 + 15x

• 100 + 5x > 400 - 15x

• 100 + 5x < 400 - 15x

Claire’s stamp collection has 100 stamps and she buys 5 new stamps each month. Harriet’s collection has 400 stamps and she sells 15 stamps per month. After how many months will Claire have more stamps than Harriet?

• x < 15

• x > 15