Real-Life Polynomial Subtraction for 8th Graders

A gardener has a polynomial expression for the area of a flower bed given by 3x^2 + 5x - 7 square meters. After removing a section of the bed that measures 2x^2 + 3x - 4 square meters, what is the new area of the flower bed?

• x^2 + 3x + 1

• 2x^2 + 3x - 4

• x^2 + 2x - 3

• 3x^2 + 5x - 3

A school is planning a fundraiser and has a budget represented by the polynomial 10x^2 + 15x - 20. If they spend 4x^2 + 5x - 10 on supplies, what is their remaining budget?

• 10x^2 + 15x - 30

• 6x^2 + 10x - 10

• 5x^2 + 10x - 5

• 4x^2 + 10x - 10

A car rental company has a polynomial expression for their total revenue of 8x^3 + 12x^2 - 5x. If they have expenses represented by the polynomial 3x^3 + 4x^2 - 2x, what is their profit polynomial?

• 6x^3 + 8x^2 - 7x

• 5x^3 + 8x^2 - 3x

• 8x^3 + 12x^2 + 5x

• 5x^3 + 4x^2 - 2x

A factory produces 5x^2 + 10x - 15 units of a product. If they have to discard 2x^2 + 3x - 5 units due to defects, how many units do they have left?

• 3x^2 + 7x - 10

• 5x^2 + 10x - 5

• 4x^2 + 8x - 15

• 2x^2 + 5x - 5

A bookstore has a total inventory represented by the polynomial 6x^2 + 8x - 12. If they sell 3x^2 + 4x - 5 books, how many books remain in their inventory?

• 6x^2 + 8x - 12

• 3x^2 + 4x - 10

• 3x^2 + 4x - 7

• 3x^2 + 4x - 5

A farmer's profit from selling crops is represented by the polynomial 9x^2 - 4x + 6. If his costs are represented by the polynomial 5x^2 + 2x - 3, what is his net profit?

• 5x^2 - 4x + 9

• 9x^2 - 2x + 6

• 4x^2 - 6x + 9

• 4x^2 + 6x - 3

A construction company has a budget of 7x^2 + 9x - 10 for a project. If they spend 4x^2 + 5x - 6, how much budget do they have left?

• 2x^2 + 3x - 6

• 4x^2 + 6x - 5

• 3x^2 + 4x - 4

• 5x^2 + 4x - 2

A local bakery's revenue is represented by the polynomial 11x^2 + 14x - 8. If their expenses are represented by 6x^2 + 9x - 5, what is their net revenue?

• 5x^2 + 9x - 3

• 7x^2 + 5x - 2

• 5x^2 + 5x - 3

• 11x^2 + 14x - 5

A tech company has a polynomial expression for their total sales of 15x^3 + 20x^2 - 10x. If they have returns represented by 5x^3 + 7x^2 - 3x, what is their net sales?

• 10x^3 + 13x^2 - 7x

• 10x^3 + 20x^2 - 3x

• 15x^3 + 20x^2 - 10x

• 5x^3 + 7x^2 - 3x

A charity event raised funds represented by the polynomial 12x^2 + 18x - 24. If they spent 5x^2 + 7x - 10 on expenses, how much money do they have left?

• 12x^2 + 7x - 14

• 6x^2 + 9x - 24

• 7x^2 + 11x - 14

• 5x^2 + 11x - 10