Modeling Real-World Linear Problems in 7th Grade

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write a linear equation to represent the total cost (C) in terms of miles driven (m). How much would it cost to drive 150 miles?

• $60

• $120

• $30

• $90

Maria is saving money to buy a new bike. She saves $15 each week. Write a linear equation to model her savings (S) after w weeks. How much will she have saved after 8 weeks?

• 150

• 75

• 120

• 90

A store sells notebooks for $2 each and pens for $1 each. If a student buys a total of 10 items for $16, write a system of equations to represent the situation. How many notebooks and pens did the student buy?

• 5 notebooks and 5 pens

• 6 notebooks and 4 pens

• 7 notebooks and 3 pens

• 4 notebooks and 6 pens

A gardener is planting flowers in rows. Each row can hold 5 flowers. If he has 30 flowers, write a linear equation to represent the number of rows (r) he needs. How many rows will he plant?

• 5

• 6

• 4

• 7

A phone company offers a plan that costs $50 per month plus $0.10 per text message. Write a linear equation to represent the total cost (C) in terms of the number of text messages (t). How much would the total cost be if she sends 200 messages?

• $150

• $70

• $30

• $100

A school is organizing a field trip. The cost per student is $25, and there are 40 students attending. Write a linear equation to represent the total cost (C) for the trip. What is the total cost for the trip?

• $800

• $600

• $1200

• The total cost for the trip is $1000.

A factory produces 100 toys per hour. If the factory operates for h hours, write a linear equation to represent the total number of toys (T) produced. How many toys will be produced in 5 hours?

• 400

• 700

• 500

• 600

A train travels at a speed of 60 miles per hour. Write a linear equation to model the distance (d) traveled in terms of time (t) in hours. How far will the train travel in 3 hours?

• 90 miles

• 240 miles

• 180 miles

• 150 miles

A pizza shop sells small pizzas for $8 and large pizzas for $12. If a customer buys a total of 5 pizzas for $52, write a system of equations to find out how many small and large pizzas were purchased.

• 5 large pizzas and 0 small pizzas

• 4 small pizzas and 1 large pizza

• 2 small pizzas and 3 large pizzas

• 3 small pizzas and 2 large pizzas

A book costs $15, and a magazine costs $5. If a student buys a total of 8 items for $70, write a system of equations to determine how many books and magazines the student bought.

• 5 books and 3 magazines

• 3 books and 5 magazines

• 2 books and 6 magazines

• 4 books and 4 magazines