Real-Life Linear Equations: Solve and Graph Challenges

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write a linear equation in standard form to represent the total cost (C) of renting a car for x miles. How much would it cost to drive 150 miles?

• $30

• $60

• $90

• $120

A school is planning a field trip and has a budget of $500. The cost per student is $25. Write a linear equation in standard form to represent the number of students (s) that can attend the trip. How many students can go if the school wants to spend exactly $500?

• 20

• 25

• 15

• 30

A gardener is planting flowers in a rectangular garden. The length of the garden is 3 feet longer than twice the width. Write a linear equation in standard form to represent the relationship between the length (L) and width (W) of the garden. If the width is 4 feet, what is the length?

• 11 feet

• 8 feet

• 12 feet

• 10 feet

A store sells notebooks for $2 each and pens for $1 each. If a student buys a total of 10 items and spends $16, write a linear equation in standard form to represent the relationship between the number of notebooks (n) and pens (p). How many notebooks did the student buy?

• 4

• 8

• 5

• 6

A taxi company charges a base fare of $5 plus $1.50 per mile. Write a linear equation in standard form to represent the total fare (F) for a trip of x miles. How much would the fare be for a 10-mile trip?

• $30.00

• $20.00

• $25.00

• $15.00

A local gym charges a monthly membership fee of $40 plus $5 for each class attended. Write a linear equation in standard form to represent the total cost (C) for attending y classes in a month. If a member attends 8 classes, what is the total cost?

• $60

• $100

• $80

• $40

A factory produces x toys per hour and has a fixed cost of $200 per day. If the total cost (C) of production is represented by the equation C = 200 + 5x, write this in standard form. How much does it cost to produce 50 toys?

• $500

• $450

• $600

• $300

A pizza shop sells large pizzas for $12 each and small pizzas for $8 each. If a customer buys a total of 5 pizzas for $52, write a linear equation in standard form to represent the number of large (L) and small (S) pizzas. How many large pizzas did the customer buy?

• 3

• 2

• 5

• 4

A farmer has a total of 100 animals consisting of cows and chickens. If there are twice as many chickens as cows, write a linear equation in standard form to represent the number of cows (C) and chickens (H). How many cows are there if there are 60 chickens?

• 40

• 50

• 30

• 20

A concert venue has a seating capacity of 500. If tickets are sold for $20 each and the venue wants to make at least $8,000, write a linear equation in standard form to represent the number of tickets (T) that need to be sold. How many tickets must be sold to meet the goal?

• 300

• 450

• 500

• 400