Understanding Equations: Real-Life Scenarios 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 terms of miles driven (m). If a customer drives 150 miles, what is the total cost?

• $60

• $90

• $75

• $45

A local gym charges a monthly membership fee of $25 and an additional $10 per fitness class attended. Write the equation for the total cost (C) in terms of classes attended (c). If a member attends 5 classes in a month, what is the total cost?

• $60

• $75

• $100

• $50

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $15 a week, while Jamie saves $10 a week. Write the equations for the total savings (S) for each friend after w weeks. How many weeks will it take for their savings to be equal?

• 0 weeks

• 3 weeks

• 1 week

• 2 weeks

A store sells pencils for $0.50 each and erasers for $1.00 each. If a student buys a total of 10 items for $6.00, write a system of equations to represent the situation. How many pencils and erasers did the student buy?

• 6 pencils and 4 erasers

• 8 pencils and 2 erasers

• 5 pencils and 5 erasers

• 7 pencils and 3 erasers

A school is planning a field trip. The cost per student is $15, and the total cost for 20 students is $300. Write the equation for the total cost (C) in terms of the number of students (s). If the school wants to take 25 students, what will be the total cost?

• The total cost for 25 students will be $375.

• $250

• $450

• $300

A phone company offers two plans: Plan A costs $40 per month with unlimited texting and $0.10 per minute for calls, while Plan B costs $30 per month with unlimited calls and $0.20 per text. Write the equations for the total cost (C) for each plan in terms of minutes (m) and texts (t). Which plan is cheaper if a customer makes 100 minutes of calls and sends 50 texts?

• Both plans cost the same.

• Plan A is cheaper.

• Plan A is more cost-effective.

• Plan B is cheaper.

A bakery sells cupcakes for $2 each and cookies for $1 each. If a customer buys a total of 12 items for $20, write a system of equations to represent the situation. How many cupcakes and cookies did the customer buy?

• 5 cupcakes and 7 cookies

• 10 cupcakes and 2 cookies

• 8 cupcakes and 4 cookies

• 6 cupcakes and 6 cookies

A movie theater charges $10 for adult tickets and $5 for child tickets. If a family buys a total of 8 tickets for $50, write a system of equations to represent the situation. How many adult and child tickets did they buy?

• 4 adult tickets and 4 child tickets

• 3 adult tickets and 5 child tickets

• 1 adult ticket and 7 child tickets

• 2 adult tickets and 6 child tickets

A delivery service charges a base fee of $5 plus $2 per mile. Write the equation for the total cost (C) in terms of miles driven (m). If a customer needs a delivery that is 10 miles away, what will be the total cost?

• $25

• $15

• $30

• $20