Writing Linear Inequalities from Word Problems

A school is organizing a fundraiser by selling tickets for a concert. The school wants to make at least $1000 from the ticket sales. They are selling student tickets(s) for $5 each and adult tickets(a) for $10 each. Write a linear inequality to represent this situation.

• 5s - 10a ≥ 1000

• 5s - 10a ≤ 1000

• 5s + 10a ≥ 1000

• 5s + 10a ≤ 1000

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

A car rental company charges $30 per day for a compact car and $50 per day for a luxury car. The owner wants to make at least $1000 a week. Write a linear inequality to represent this situation.

• 30x - 50y > 400

• 30x + 50y < 400

• 30x + 50y ≤ 400

• 30x + 50y = 400

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

A new tech start up produces two types of smartphones the Hyper-Infinity (X) and the NovaWave(Y). The production cost for the Hyper Infinity phone is $150 per unit, and for the NovaWave phone is $200 per unit. The company wants to spend at most $5000 on production. Write a linear inequality to represent this situation.

• 150x + 200y ≥ 5000

• 150x + 200y ≤ 5000

• 150x + 200y = 5000

• 150x - 200y ≤ 5000

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

Sweet Delights Bakery makes two types of cakes, Chocolate Bliss (x) and Vanilla Dream(y). The bakery wants to make at least $300 in profit. The profit from a chocolate cake is $10, and from a vanilla cake is $15. Write a linear inequality to represent this situation.

• 10x + 15y ≥ 300

• 10x + 15y ≤ 300

• 10x + 15y = 300

• 10x - 15y ≥ 300

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

The Science Teachers are planning a field trip to the Richmond Museum of Science and need to rent buses. The cost of renting a small bus is $300, and the cost of renting a large bus is $500. The school can spend at most $4000 on bus rentals. Write a linear inequality to represent this situation.

• 300x + 500y ≥ 4000

• 300x + 500y = 4000

• 300x + 500y ≤ 4000

• 300x - 500y = 4000

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3