Linear Inequality Two Variable Word Problems

You have $14 in your pocket. A taxi has a ride fee of $5 plus an additional fee of $0.60 per mile. What is the most miles you could ride in the taxi? (Mileage is rounded up if you stop before a complete mile.) Solve the inequality/answer the question.

• x ≥ 15

• x ≤ 15

• x > 15

• x < 15

Emilia needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. What is the least number of cars she can wash to buy the headphones? Define the variable.

• let x = Emilia

• let x = the number of cars she needs to wash

• let x = the number of headphones she wants to buy

• let x = the money she already saved

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Write an inequality to represent the number of games Cameron can play.

Mathematical Equivalence

ON

Svetlana's hair is 4 centimeters long. Her hair grows 1.5 centimeters per month. Svetlana wants her hair to grow so that it is at least 7 centimeters long. Write an inequality to represent how many months it will take Svetlana to grow her hair.

Mathematical Equivalence

ON

Lisa won 40 lollipops playing basketball at the school fair. She gave two to every student in her math class. She has at least 7 lollipops left. Write an inequality to represent the maximum number of students in her class.

Mathematical Equivalence

ON

Amanda rented a bike from Shawna's Bikes. They charged her $2 per hour, plus a $10 fee. Amanda paid less than $27. Write and solve an inequality to represent the maximum number of hours Amanda rented the bike.

Mathematical Equivalence

ON

Mark's Canoes rents canoes for $20 plus $35 per hour. You do not want to spend more than $150. Write and solve an inequality to represent how many hours you can afford to rent the canoe? 

Mathematical Equivalence

ON

You need to buy some pencils and an eraser. You can spend no more than $5. The eraser costs $1 and the pencils cost $0.25 each. Write an inequality to represent the maximum number of pencils you can buy.

Mathematical Equivalence

ON

Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each session. If Allison has already practiced 3 hours this week, Write an inequality to represent how many more sessions remain for her to meet or exceed her weekly practice goal.

Mathematical Equivalence

ON

What is the correct inequality for this word problem? 5 less than a number y is under20

• 5 - y < 20

• y - 5 < 20