Linear Equations: Master Standard Form in Real Life

A farmer has 120 apples and 80 oranges. He wants to sell them in bags containing the same number of apples and oranges. Write a standard form equation to represent the relationship between the number of bags (x) and the total fruits. How many bags can he make?

• 60

• 100

• 40

• 80

A school is planning a field trip. The cost per student is $15, and they have a budget of $600. Write a standard form equation to represent the number of students (x) that can attend. How many students can go on the trip?

• 50

• 25

• 30

• 40

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write a standard form equation to represent the total cost (y) in terms of miles driven (x). If a customer drives 150 miles, what is the total cost?

• $120

• $80

• $100

• $60

A bookstore sells novels for $12 each and textbooks for $20 each. If a customer buys a total of 10 books for $180, write a standard form equation to represent the number of novels (x) and textbooks (y). How many novels and textbooks did the customer buy?

• 5 novels and 5 textbooks

• 2 novels and 8 textbooks

• 3 novels and 7 textbooks

• 4 novels and 6 textbooks

A concert hall has a seating capacity of 500. If tickets are sold for $30 each, write a standard form equation to represent the total revenue (R) in terms of the number of tickets sold (x). If 300 tickets are sold, what is the total revenue?

• 6000

• 12000

• 7500

• 9000

A company produces two types of gadgets. The first type costs $25 to produce, and the second type costs $40. If the company has a budget of $1000, write a standard form equation to represent the number of each type of gadget produced. How many of each type can they produce?

• The company can produce 20 of the first type, 30 of the second type.

• The equation to represent the production is 30x + 50y = 1000.

• The company can produce 40 of the first type, 25 of the second type, or any combination of both that satisfies 25x + 40y = 1000.

• The company can only produce 10 of the first type and 15 of the second type.

A local gym charges a monthly fee of $40 plus $5 for each class attended. Write a standard form equation to represent the total cost (C) in terms of the number of classes (x). If a member attends 10 classes, what is the total cost?

• $100

• $50

• $90

• $70

A bakery sells cupcakes for $3 each and cookies for $2 each. If a customer spends $30 and buys a total of 15 items, write a standard form equation to represent the number of cupcakes (x) and cookies (y). How many cupcakes and cookies did the customer buy?

• 5 cupcakes and 10 cookies

• 10 cupcakes and 5 cookies

• 0 cupcakes and 15 cookies

• 15 cupcakes and 0 cookies

A landscaping company charges a flat fee of $200 plus $50 per hour of work. Write a standard form equation to represent the total cost (C) in terms of hours worked (x). If the total cost is $400, how many hours did they work?

• 4

• 8

• 6

• 2

A charity event sells tickets for $25 each. If they want to raise $2000, write a standard form equation to represent the number of tickets (x) that need to be sold. How many tickets must they sell to reach their goal?

• 80

• 60

• 40

• 100