Real-Life Equations: Contextual Problem Solving & Graphing

A school is organizing a field trip. The cost per student is $15, and there is a fixed cost of $120 for the bus. Write an equation to represent the total cost (C) in terms of the number of students (s). How much will it cost for 10 students?

• $300

• $270

• $150

• $180

Maria has a total of 50 coins consisting of dimes and quarters. If the number of dimes is represented by d and the number of quarters by q, write an equation for the total number of coins. If Maria has 20 dimes, how many quarters does she have?

• 15

• 30

• 25

• 40

A gardener is planting flowers in two types of pots. The small pots cost $5 each and the large pots cost $8 each. If the total cost for p small pots and l large pots is $50, write an equation. How many of each type can be bought if 3 large pots are purchased?

• 2 small pots and 3 large pots

• 4 small pots and 3 large pots

• 5 small pots and 3 large pots

• 6 small pots and 2 large pots

A bookstore sells novels for $12 each and textbooks for $20 each. If a customer buys n novels and t textbooks for a total of $100, write an equation. How many novels can be bought if 2 textbooks are purchased?

• 4

• 5

• 3

• 7

In a class, the number of boys (b) is twice the number of girls (g). Write an equation to represent this relationship. If there are 12 boys, how many girls are there?

• 8

• 4

• 6

• 10

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write an equation for the total cost (C) in terms of miles driven (m). If a customer drives 100 miles, what is the total cost?

• $70

• $40

• $50

• $60

A pizza shop sells small pizzas for $8 and large pizzas for $12. If a customer buys s small pizzas and l large pizzas for a total of $60, write an equation. How many small pizzas can be bought if 2 large pizzas are ordered?

• 5

• 3

• 6

• 4

A concert hall has 200 seats. If x seats are reserved for VIPs and y seats are for general admission, write an equation for the total number of seats. If 50 seats are reserved for VIPs, how many general admission seats are available?

• 150

• 100

• 200

• 75

A farmer has chickens and cows. If the total number of animals is 30 and the number of cows is twice the number of chickens, write an equation. How many chickens are there if there are 10 cows?

• 20

• 15

• 5

• 10

A local gym charges a monthly fee of $25 plus $5 per class attended. Write an equation for the total monthly cost (C) in terms of the number of classes (c). If a member attends 4 classes, what is their total cost?

• $30

• $35

• $45

• $50