Real-World Word Problems: Systems of Equations for 8th Graders

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write the equation for the total cost (C) in slope-intercept form. If a customer drives 150 miles, how much will they pay?

• $60

• $75

• $90

• $45

A local gym charges a monthly membership fee of $25 and an additional $10 for each fitness class attended. Write the equation for the total cost (C) in slope-intercept form. How much will a member pay if they attend 5 classes?

• $75

• $50

• $100

• $60

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $15 a week, while Jamie saves $10 a week. Write a system of equations to represent their savings over time. How many weeks will it take for their savings to be equal?

• 3 weeks

• 0 weeks

• 2 weeks

• 1 week

A store sells pencils for $1 each and erasers for $2 each. If a student buys a total of 10 items and spends $14, write a system of equations to represent this situation. How many pencils and erasers did the student buy?

• 6 pencils and 4 erasers

• 4 pencils and 6 erasers

• 7 pencils and 3 erasers

• 5 pencils and 5 erasers

A taxi company charges a base fare of $3 plus $2 per mile. Write the equation for the total fare (F) in slope-intercept form. If a passenger travels 8 miles, what will be the total fare?

• $15

• $25

• $22

• $19

A school is planning a field trip. The cost per student is $15, and there is a fixed cost of $200 for the bus. Write the equation for the total cost (C) in slope-intercept form. If 30 students attend, what is the total cost?

• $500

• $800

• $700

• $650

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys a total of 8 items and spends $66, write a system of equations to represent this situation. How many novels and magazines did the customer buy?

• 5 novels and 3 magazines

• 2 novels and 6 magazines

• 3 novels and 5 magazines

• 4 novels and 4 magazines

A pizza shop sells small pizzas for $8 and large pizzas for $12. If a customer buys a total of 5 pizzas and spends $52, write a system of equations to represent this situation. How many small and large pizzas did the customer buy?

• 3 small pizzas and 2 large pizzas

• 1 small pizza and 4 large pizzas

• 5 small pizzas and 0 large pizzas

• 2 small pizzas and 3 large pizzas

A concert venue has a seating capacity of 500. If tickets for the front row are $50 and tickets for the back row are $30, write a system of equations to represent the total revenue if 300 tickets are sold. How many tickets were sold for each row?

• x = 100, y = 200

• x = 250, y = 50

• x = 200, y = 100

• x = 150, y = 150