7th Grade Algebra: Graphing & Distributive Adventures

A local bakery sells cookies for $2 each and brownies for $3 each. If a customer buys a total of 10 items for $24, how many cookies and brownies did they buy? Graph the equation representing the relationship between cookies and brownies.

• 4 cookies and 6 brownies

• 7 cookies and 3 brownies

• 5 cookies and 5 brownies

• 6 cookies and 4 brownies

In a school, the ratio of boys to girls is 3:4. If there are 28 girls, how many boys are there? Write an equation to represent the situation and use the distributive property to solve for the number of boys.

• 18

• 21

• 30

• 25

A gardener is planting flowers in rows. If each row has 5 flowers and he wants to plant a total of 35 flowers, how many rows will he need? Write an equation and graph the relationship between rows and flowers.

• 5

• 7

• 6

• 8

A bookstore is having a sale where each book costs $8. If a customer buys 4 books, how much will they spend? Use the distributive property to find the total cost and graph the equation representing the total cost based on the number of books bought.

• $16

• $32

• $40

• $24

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sell a total of 50 tickets for $350, how many adult and student tickets were sold? Write an equation and graph the relationship between adult and student tickets.

• 15 adult tickets and 35 student tickets were sold.

• 25 adult tickets and 25 student tickets were sold.

• 20 adult tickets and 30 student tickets were sold.

• 10 adult tickets and 40 student tickets were sold.

A pizza shop sells small pizzas for $10 and large pizzas for $15. If a customer orders a total of 8 pizzas for $100, how many small and large pizzas did they order? Write an equation and use the distributive property to solve the problem.

• 6 small pizzas and 2 large pizzas

• 5 small pizzas and 3 large pizzas

• 2 small pizzas and 6 large pizzas

• 4 small pizzas and 4 large pizzas

A farmer has chickens and cows. If he has a total of 20 animals and there are twice as many chickens as cows, how many chickens and cows does he have? Write an equation to represent the situation and graph the relationship between the two types of animals.

• 12 chickens and 8 cows

• 10 chickens and 5 cows

• 8 chickens and 12 cows

• 15 chickens and 5 cows

A movie theater charges $12 for adult tickets and $8 for child tickets. If a family buys 3 adult tickets and 2 child tickets, how much do they spend in total? Use the distributive property to calculate the total cost and graph the equation.

• $40

• $60

• $48

• $52