Real-Life Standard Form Problems: Solve and Interpret

A farmer has 120 apples and 80 oranges. He wants to sell them in bags containing the same number of apples and oranges. If he sells bags with 4 apples and 2 oranges each, how many bags can he sell? Write a standard form equation to represent this situation.

• 30

• 40

• 60

• 20

A school is organizing a field trip for 150 students. The cost of the trip is $3000. If each student pays the same amount, how much does each student need to pay? Write a standard form equation to find the cost per student.

• $20

• $15

• $30

• $25

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $5 each week, while Jamie saves $8 each week. If they both start with $20, write a standard form equation to find out how many weeks it will take for them to have the same amount of money.

• 3 weeks

• 2 weeks

• 1 week

• 0 weeks

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer drives 150 miles, write a standard form equation to calculate the total cost of the rental.

• Total Cost = 50 + (0.20 * 150) = 50 + 20 = 70

• Total Cost = 50 + (0.20 * 150) = 50 + 50 = 100

• Total Cost = 50 + (0.20 * 150) = 50 + 15 = 65

• Total Cost = 50 + (0.20 * 150) = 50 + 30 = 80

A local bakery sells cupcakes for $3 each and cookies for $2 each. If they sell a total of 100 items and make $240, write a standard form equation to find out how many cupcakes and cookies were sold.

• Cupcakes: 70, Cookies: 30

• Cupcakes: 80, Cookies: 20

• Cupcakes: 50, Cookies: 50

• Cupcakes: 60, Cookies: 40

A gym has 200 members. If 30% of them are enrolled in a yoga class and the rest are in a weightlifting class, write a standard form equation to find out how many members are in each class.

• 80 members in yoga class, 120 members in weightlifting class.

• 60 members in yoga class, 140 members in weightlifting class.

• 100 members in yoga class, 100 members in weightlifting class.

• 50 members in yoga class, 150 members in weightlifting class.

A bookstore sells novels for $10 each and magazines for $5 each. If they sold a total of 50 items for $350, write a standard form equation to determine how many novels and magazines were sold.

• x = 20, y = 30

• x = 15, y = 35

• x = 25, y = 25

• x = 30, y = 20

A concert hall has 500 seats. If 60% of the seats are sold for a concert, how many seats are still available? Write a standard form equation to represent this situation.

• 150

• 200

• 250

• 300

A pizza shop sells large pizzas for $15 and small pizzas for $10. If they sold a total of 40 pizzas and made $500, write a standard form equation to find out how many large and small pizzas were sold.

• x = 10, y = 30

• x = 20, y = 20

• x = 25, y = 15

• x = 30, y = 10

A school is planning a fundraiser. They want to sell boxes of cookies for $5 each and boxes of brownies for $8 each. If they want to raise $400 and sell a total of 60 boxes, write a standard form equation to find out how many boxes of cookies and brownies they need to sell.

• x + y = 70, 5x + 8y = 500

• x + y = 60, 5x + 10y = 400

• x + y = 60, 5x + 8y = 400

• x + y = 50, 5x + 8y = 300