Inequalities in Action: Isolate & Solve Real-Life Problems

A store sells notebooks for $3 each and pens for $2 each. If you want to buy at least 10 items and spend no more than $30, write an inequality to represent this situation and solve for the maximum number of notebooks you can buy.

• 10

• 15

• 12

• 5

Maria has $50 to spend on books. Each book costs $8. If she wants to buy at least 4 books, write an inequality to find out how many books she can buy and solve for the maximum number of books she can purchase.

• 8

• 6

• 7

• 5

A gym charges a $20 membership fee plus $5 per class. If you want to spend no more than $100 this month, write an inequality to represent the number of classes you can attend and solve for the maximum number of classes.

• 10

• 12

• 20

• 16

A farmer has 120 apples and wants to pack them into boxes. Each box can hold 8 apples. If he wants to pack at least 10 boxes, write an inequality to find out how many apples he can use and solve for the maximum number of apples he can pack.

• 120

• 100

• 64

• 80

A concert hall has a seating capacity of 500. If tickets are sold for $15 each and the total revenue must be at least $6000, write an inequality to represent the number of tickets that must be sold and solve for the minimum number of tickets needed.

• 400

• 450

• 600

• 300

Liam is saving money for a video game that costs $60. He saves $5 each week. If he wants to buy the game in less than 10 weeks, write an inequality to represent how much money he needs to save and solve for the minimum amount he must save each week.

• Liam must save exactly $5 each week.

• Liam must save less than $4 each week.

• Liam must save more than $6 each week.

• Liam must save $10 each week.

A school is planning a field trip and has a budget of $300. Each student must pay $15. If at least 15 students are going, write an inequality to find out how many students can attend and solve for the maximum number of students allowed.

• 30

• 10

• 25

• 20

A recipe requires at least 2 cups of flour and 3 cups of sugar. If you have 10 cups of flour and 15 cups of sugar, write an inequality to represent how many batches of the recipe you can make and solve for the maximum number of batches.

• 4

• 5

• 7

• 6

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If you want to spend no more than $100, write an inequality to represent the number of miles you can drive and solve for the maximum distance.

• 150 miles

• 300 miles

• 200 miles

• 250 miles

A charity event aims to raise at least $2000. If each ticket sold is $25, write an inequality to represent how many tickets need to be sold and solve for the minimum number of tickets required to meet the goal.

• 120

• 100

• 60

• 80