Solving Linear Word Problems: Graphing & Analysis

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

• $120

• $90

• $30

• $60

A school is planning a field trip and has a budget of $500. The cost per student is $15. Write the equation in standard form to represent the number of students (s) that can go on the trip. How many students can attend if the budget is fully utilized?

• 33

• 25

• 50

• 40

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

• 11 feet

• 10 feet

• 8 feet

• 12 feet

A bookstore sells novels for $12 each and textbooks for $20 each. If the total sales amount to $240, write the equation in standard form to represent the number of novels (n) and textbooks (t) sold. How many novels and textbooks were sold if 10 textbooks were sold?

• It is not possible to sell 10 textbooks and have a whole number of novels sold.

• 15 novels and 5 textbooks were sold.

• 5 novels and 10 textbooks were sold.

• 10 novels and 0 textbooks were sold.

A local gym charges a monthly membership fee of $25 plus $5 for each class attended. Write the equation in standard form to represent the total cost (C) based on the number of classes (c) attended. If a member attends 8 classes, what is the total cost?

• $65

• $50

• $75

• $80

A factory produces two types of toys: action figures and dolls. The factory produces 3 action figures for every 2 dolls. Write the equation in standard form to represent the relationship between the number of action figures (a) and dolls (d). If the factory produces 60 dolls, how many action figures are produced?

• 75

• 100

• 45

• 90

A pizza shop sells small pizzas for $8 and large pizzas for $12. If the total revenue from selling pizzas is $300, write the equation in standard form to represent the number of small (s) and large (l) pizzas sold. How many small and large pizzas were sold if 15 large pizzas were sold?

• 15 small pizzas and 15 large pizzas were sold.

• 20 small pizzas and 10 large pizzas were sold.

• 10 small pizzas and 20 large pizzas were sold.

• 5 small pizzas and 25 large pizzas were sold.

A concert venue has a seating capacity of 500. If tickets are sold for $20 each and VIP tickets for $50 each, write the equation in standard form to represent the total revenue (R) based on the number of regular tickets (r) and VIP tickets (v) sold. If 100 VIP tickets are sold, how many regular tickets can be sold?

• 400

• 350

• 450

• 300

A farmer has a total of 100 animals consisting of cows and chickens. If there are twice as many chickens as cows, write the equation in standard form to represent the number of cows (c) and chickens (h). How many cows and chickens are there if there are 20 cows?

• 30 cows and 20 chickens

• 10 cows and 70 chickens

• 20 cows and 40 chickens

• 50 cows and 50 chickens

A company produces two types of gadgets: Type A and Type B. The production of Type A is 4 times that of Type B. Write the equation in standard form to represent the relationship between the number of Type A gadgets (a) and Type B gadgets (b). If the company produces 10 Type B gadgets, how many Type A gadgets are produced?

• 20

• 30

• 50

• 40