Mastering Standard Form: Solve & Graph Linear Equations

A car rental company charges a flat fee of $50 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?

• $100

• $80

• $60

• $120

A school is planning a field trip and has a budget of $600. The cost per student is $15. Write a standard form equation to represent the number of students (s) that can attend the trip. How many students can go if the budget is fully utilized?

• 50

• 40

• 25

• 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 standard form equation 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 standard form equation to represent the number of notebooks (n) and pens (p) purchased. How many notebooks did the student buy?

• 4

• 8

• 6

• 5

A taxi company charges a base fare of $3 plus $1.50 for each mile driven. Write a standard form equation to represent the total fare (F) for x miles. If a passenger pays $15, how many miles did they travel?

• 5 miles

• 12 miles

• 8 miles

• 10 miles

A local bakery sells cupcakes for $3 each and cookies for $2 each. If a customer buys a total of 12 items and spends $30, write a standard form equation to represent the number of cupcakes (c) and cookies (k) purchased. How many cupcakes did the customer buy?

• 4

• 8

• 10

• 6

A fitness center charges a monthly fee of $40 plus $5 for each class attended. Write a standard form equation to represent the total cost (C) for attending x classes. If a member pays $70, how many classes did they attend?

• 6

• 4

• 8

• 10

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 standard form equation to represent the number of tickets (t) that need to be sold. How many tickets must be sold to meet the goal?

• 400

• 500

• 450

• 300

A bookstore sells novels for $10 each and magazines for $5 each. If a customer buys a total of 20 items and spends $150, write a standard form equation to represent the number of novels (n) and magazines (m) purchased. How many novels did the customer buy?

• 12

• 15

• 5

• 10