Real-Life Linear Equations: Identify Variables & Translate

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write an equation in standard form to represent the total cost (C) of renting a car for x miles driven.

• C = 0.20x - 30

• 20x - C + 3000 = 0

• C = 30 + 0.20x

• C = 30x + 0.20

Maria is saving money to buy a new bike. She saves $15 each week. If she starts with $50, write an equation in standard form to represent the total amount of money (M) she has after w weeks.

• 15w + M = 50

• M = 15w + 50

• M - 15w = 50

• 15w - M = -50

A farmer has a total of 120 animals, consisting of cows and chickens. If each cow has 4 legs and each chicken has 2 legs, write an equation in standard form to represent the total number of legs (L) in terms of the number of cows (c) and chickens (h).

• 2c + 4h = L

• 3c + 3h = L

• 5c + h = L

• 4c + 2h = L

A bookstore sells novels for $12 each and magazines for $5 each. If the total sales amount to $300 from selling 30 items, write an equation in standard form to represent the relationship between novels (n) and magazines (m).

• 10n + 2m = 300

• 7n + 5m = 300

• 6n + 4m = 300

• 5n + 7m = 300

A gym charges a monthly fee of $25 plus $10 for each class attended. If a member pays a total of $85 in a month, write an equation in standard form to represent the number of classes (c) attended by the member.

• 20c + 25 = 85

• 10c + 15 = 85

• 5c + 25 = 85

• 10c + 25 = 85

A local bakery sells cupcakes for $3 each and cookies for $2 each. If they sold a total of 100 items for $240, write an equation in standard form to represent the relationship between cupcakes (c) and cookies (k).

• 2c + 3k = 240

• 4c + k = 100

• c + 2k = 240

• 3c + 2k = 240

A concert hall has 500 seats. If adult tickets cost $20 and child tickets cost $10, and the total revenue from ticket sales is $8000, write an equation in standard form to represent the number of adult tickets (a) and child tickets (c).

• a + c = 500, 2a + c = 800

• a + c = 400, 2a + c = 600

• a + c = 600, 2a + c = 1000

• a + c = 500, 2a + c = 1000

Tags

CCSS.8.EE.C.8C

A gardener is planting flowers in a rectangular garden. The length of the garden is twice the width. If the total area of the garden is 200 square feet, write an equation in standard form to represent the relationship between length (l) and width (w).

• w^2 + 200 = l

• 2w^2 - 200 = 0

• l + w = 200

• l - 2w = 0

A company produces two types of gadgets: Type A and Type B. Type A costs $50 to produce and Type B costs $30. If the company has a budget of $3000 and wants to produce a total of 100 gadgets, write an equation in standard form to represent the number of Type A gadgets (a) and Type B gadgets (b).

• a + b = 80; 50a + 30b = 2000

• a + b = 100; 50a + 20b = 3000

• a + b = 150; 50a + 30b = 2500

• a + b = 100; 50a + 30b = 3000

Tags

CCSS.8.EE.C.8C