Solving Real-Life Linear Equations: Grade 8 Challenge

A school is planning a field trip. The cost per student is $30 for transportation and $20 for admission. If 50 students are going, how much will the total cost be? Write a linear equation to represent the total cost and solve it.

• $1500

• 2500

• $3000

• $2000

Maria and John are selling cookies. Maria sells cookies for $2 each, and John sells them for $3 each. If they want to make a total of $60, how many cookies does each need to sell? Set up a system of equations and solve for the number of cookies sold by each.

• Maria sells 25 cookies and John sells 5 cookies.

• Maria sells 15 cookies and John sells 15 cookies.

• Maria sells 20 cookies and John sells 10 cookies.

• Maria sells 30 cookies and John sells 0 cookies.

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer drives 150 miles, how much will they pay in total? Write a linear equation to represent the total cost and solve it.

• $70

• $100

• $90

• $80

Two friends, Alex and Sam, are saving money for a concert. Alex saves $5 each week, while Sam saves $8 each week. If they both want to save $100, how many weeks will it take for each of them to reach their goal? Create a system of equations and solve it.

• Alex: 20 weeks, Sam: 13 weeks

• Alex: 15 weeks, Sam: 10 weeks

• Alex: 25 weeks, Sam: 20 weeks

• Alex: 30 weeks, Sam: 15 weeks

A farmer has chickens and cows. If the total number of animals is 30 and the total number of legs is 100, how many chickens and cows does the farmer have? Set up a system of equations and solve for the number of each type of animal.

• 10 chickens and 20 cows

• 15 chickens and 15 cows

• 5 chickens and 25 cows

• 20 chickens and 10 cows

A local gym offers two membership plans. Plan A costs $40 per month, and Plan B costs $25 per month plus a one-time fee of $100. After how many months will the cost of both plans be the same? Write a linear equation for each plan and solve for the number of months.

• 10 months

• 8 months

• 5 months

• 6.67 months

A bookstore sells novels for $10 each and textbooks for $15 each. If a customer buys a total of 8 books and spends $100, how many novels and textbooks did they buy? Set up a system of equations and solve for the number of each type of book.

• 5 novels and 3 textbooks

• 4 novels and 4 textbooks

• 2 novels and 6 textbooks

• 6 novels and 2 textbooks

A concert hall has two types of tickets: regular tickets for $50 and VIP tickets for $100. If a total of 200 tickets were sold for a total of $12,000, how many of each type of ticket were sold? Create a system of equations and solve it.

• 160 regular tickets and 40 VIP tickets were sold.

• 150 regular tickets and 50 VIP tickets were sold.

• 100 regular tickets and 100 VIP tickets were sold.

• 180 regular tickets and 20 VIP tickets were sold.

A bike rental shop charges a $15 fee plus $5 per hour for renting a bike. If a customer pays $45 in total, how many hours did they rent the bike? Write a linear equation to represent the total cost and solve it.

• 4 hours

• 5 hours

• 6 hours

• 7 hours

A pizza shop sells small pizzas for $8 and large pizzas for $12. If a customer buys a total of 10 pizzas and spends $88, how many small and large pizzas did they buy? Set up a system of equations and solve for the number of each type of pizza.

• 8 small pizzas and 2 large pizzas

• 5 small pizzas and 5 large pizzas

• 10 small pizzas and 0 large pizzas

• 6 small pizzas and 4 large pizzas