Solving Real-Life Inequalities: Word Problems & Graphs

A school is planning a field trip and needs to rent buses. Each bus can hold 30 students. If the school has 150 students, how many buses do they need to rent? Write an inequality to represent the situation and solve it.

• 6

• 5

• 7

• 4

A farmer has a rectangular field that is 50 meters long and 30 meters wide. He wants to plant crops in a section of the field that is at least 600 square meters. Write an inequality to represent the area he can plant and solve it.

• l * w <= 600, with l <= 50 and w <= 30.

• l * w >= 600, with l <= 50 and w <= 30.

• l + w >= 600, with l <= 50 and w <= 30.

• l * w >= 600, with l >= 50 and w >= 30.

A concert hall has a seating capacity of 500 people. If tickets are sold for $20 each, how many tickets must be sold to make at least $8,000? Write an inequality and solve it.

• 600

• 450

• 300

• 400

A local gym has a membership fee of $50 per month. If a member wants to spend no more than $600 in a year, write an inequality to represent the situation and solve it.

• 50x ≥ 600; x ≥ 12

• 50x ≤ 600; x ≤ 12

• 50x < 600; x < 12

• 50x = 600; x = 12

A bookstore sells novels for $15 each and textbooks for $25 each. If a customer wants to spend no more than $200, write an inequality to represent the number of novels (n) and textbooks (t) they can buy and solve it.

• 10n + 20t ≤ 200

• 15n + 25t ≤ 200

• 20n + 15t ≤ 200

• 5n + 30t ≤ 200

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer wants to spend no more than $100, write an inequality to represent the miles driven and solve it.

• m < 250

• m = 300

• m ≥ 400

• m ≤ 350

A pizza shop sells small pizzas for $10 and large pizzas for $15. If a customer wants to spend at least $50, write an inequality to represent the number of small (s) and large (l) pizzas they can buy and solve it.

• 3s + 2l ≥ 20

• s + l ≤ 5

• 2s + 3l ≥ 10

• 4s + l ≤ 15

A charity event aims to raise at least $5,000. If each ticket sold is $25, how many tickets must be sold to meet the goal? Write an inequality and solve it.

• 150

• 200

• 300

• 250

A student has a budget of $100 to spend on school supplies. If notebooks cost $3 each and pens cost $2 each, write an inequality to represent the number of notebooks (n) and pens (p) the student can buy and solve it.

• 3n + 2p < 100

• 3n + 2p = 100

• 5n + 2p ≤ 100

• 3n + 2p ≤ 100

A factory produces widgets at a cost of $2 each. If the factory wants to keep production costs under $1,000, write an inequality to represent the number of widgets produced and solve it.

• x < 400

• x < 500

• x > 500

• x = 500