Maximize & Solve: Graphing Linear Equations Quiz

A farmer has 100 meters of fencing to create a rectangular pen for his sheep. If the length of the pen is represented by the equation y = 50 - x, where x is the width, what are the dimensions of the pen when the area is maximized?

• 15 meters by 35 meters

• 10 meters by 40 meters

• 20 meters by 30 meters

• 25 meters by 25 meters

Two friends, Alice and Bob, are selling lemonade. Alice sells her lemonade for $2 per cup and Bob sells his for $3 per cup. If they want to make the same amount of money, how many cups must each sell?

• Alice must sell 1 cup and Bob must sell 4 cups.

• Alice must sell 4 cups and Bob must sell 1 cup.

• Alice must sell 3 cups and Bob must sell 2 cups.

• Alice must sell 2 cups and Bob must sell 3 cups.

A school is planning a field trip. The cost per student is represented by the equation y = 10x + 50, where x is the number of students. If the total cost is $200, how many students are going on the trip?

• 10

• 20

• 15

• 25

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Another company charges a flat fee of $20 plus $0.25 per mile. How many miles must you drive for the costs to be the same?

• 150 miles

• 100 miles

• 200 miles

• 250 miles

A concert hall has two types of tickets: regular tickets for $15 and VIP tickets for $25. If the total revenue from ticket sales is $600, how many of each type of ticket were sold if the total number of tickets sold is 40?

• 30 regular tickets and 10 VIP tickets

• 20 regular tickets and 20 VIP tickets

• 40 regular tickets and 0 VIP tickets

• 10 regular tickets and 30 VIP tickets

A local bakery sells muffins for $2 each and cookies for $1 each. If they sold a total of 50 items and made $80, how many muffins and cookies did they sell?

• 40 muffins and 10 cookies

• 30 muffins and 20 cookies

• 20 muffins and 30 cookies

• 25 muffins and 25 cookies

A gym charges a monthly fee of $40 plus $5 per class attended. Another gym charges a flat fee of $50 with no additional class fees. How many classes must you attend for the costs to be the same?

• 1

• 3

• 4

• 2

A bookstore sells novels for $10 each and textbooks for $20 each. If a customer buys a total of 15 books and spends $200, how many novels and textbooks did they buy?

• 12 novels and 3 textbooks

• 8 novels and 7 textbooks

• 5 novels and 10 textbooks

• 10 novels and 5 textbooks

A pizza shop sells small pizzas for $8 and large pizzas for $12. If a customer orders a total of 10 pizzas and spends $88, how many of each size did they order?

• 5 small pizzas and 5 large pizzas

• 6 small pizzas and 4 large pizzas

• 10 large pizzas and 0 small pizzas

• 8 small pizzas and 2 large pizzas

A charity event sells tickets for $25 each and donations are collected at $5 per person. If the total amount raised is $500, how many tickets were sold and how many people donated?

• 10 tickets sold and 10 donations

• 15 tickets sold and 5 donations

• 20 tickets sold and 0 donations

• 25 tickets sold and 0 donations