Exploring Polynomials: Real-Life Applications and Models

A gardener has a rectangular garden with a length represented by the polynomial (3x + 5) meters and a width represented by (2x - 4) meters. What is the expression for the perimeter of the garden?

• 10x + 2

• 8x + 2

• 6x + 10

• 4x - 8

A school is planning a field trip and has collected (4x^2 + 3x - 5) dollars from fundraising. If they spend (2x^2 - x + 7) dollars on transportation, how much money do they have left?

• 2x^2 + 5x - 10

• 2x^2 + 3x - 5

• 4x^2 - 3x + 12

• 2x^2 + 4x - 12

A factory produces (5x^3 + 2x^2 - 3x + 1) units of product A and (3x^3 - 4x + 2) units of product B. What is the total production of both products?

• 9x^3 + 2x^2 - 6x + 4

• 7x^3 + 3x^2 - 5x + 1

• 8x^3 + 2x^2 - 7x + 3

• 6x^3 + 2x^2 - 4x + 2

A bookstore has (6x^2 + 4x - 10) books in stock. After selling (2x^2 + 3x - 5) books, how many books remain in the store?

• 4x^2 + x - 5

• 4x^2 + 3x - 5

• 6x^2 + 4x - 10

• 2x^2 + 3x - 5

A car rental company charges a base fee of (x + 20) dollars plus (3x - 5) dollars per day. What is the total cost for renting a car for one day?

• x + 25

• 3x + 15

• 4x + 15

• 5x - 5

A local charity received donations of (7x - 2) dollars in January and (5x + 3) dollars in February. What is the total amount of donations received over the two months?

• 12x + 1

• 11x + 1

• 6x + 5

• 10x - 2

A construction project has a budget of (10x^2 + 15x - 20) dollars. If they spend (4x^2 + 5x + 10) dollars on materials, how much budget remains?

• 6x^2 + 10x - 30

• 5x^2 + 10x - 20

• 10x^2 + 15x + 20

• 7x^2 + 5x - 10

A pizza shop sells (2x^2 + 3x + 5) large pizzas and (x^2 - 2x + 4) small pizzas. What is the total number of pizzas sold?

• x^2 + 3x + 5

• 2x^2 + 5x + 4

• 4x^2 + 2x + 8

• 3x^2 + x + 9

A farmer harvested (8x + 12) bushels of apples and (3x - 4) bushels of oranges. How many bushels of fruit did the farmer harvest in total?

• 7x + 12

• 10x + 16

• 9x + 8

• 11x + 8

A tech company has (9x^2 - 3x + 6) software licenses and sells (4x^2 + 2x - 1) licenses. How many licenses does the company have left?

• 9x^2 + 2x + 6

• 5x^2 - 3x + 1

• 4x^2 - 5x + 5

• 5x^2 - 5x + 7