Combining Like Terms: Real-Life Polynomial Subtraction

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

• 3x^2 + 5x - 7

• x^2 + 2x - 3

• 2x^2 + 3x - 4

A school is planning a fundraiser and has a polynomial expression for their total funds raised of 4x^2 + 6x + 10 dollars. If they spend 2x^2 + 3x + 5 dollars on supplies, how much money do they have left?

• 6x^2 + 9x + 15

• 4x^2 + 3x + 5

• 2x^2 + 6x + 10

• 2x^2 + 3x + 5

A car rental company has a polynomial expression for their total revenue of 5x^2 + 8x - 12 dollars. If they have to subtract a refund of 3x^2 + 2x - 4 dollars, what is their new total revenue?

• 2x^2 + 4x - 12

• 5x^2 + 6x - 8

• 3x^2 + 10x - 16

• 2x^2 + 6x - 8

A bakery sells cookies represented by the polynomial expression 6x^2 + 4x + 8. If they give away cookies worth 2x^2 + 3x + 5, how many cookies do they have left to sell?

• 2x^2 + x + 5

• 4x^2 + x + 3

• 6x^2 + 7x + 3

• 4x^2 + 6x + 5

A construction company has a polynomial expression for the total cost of a project of 7x^2 + 9x - 15 dollars. If they encounter unexpected expenses of 4x^2 + 2x - 10 dollars, what is the adjusted total cost?

• 11x^2 + 11x - 25

• 9x^2 + 12x - 15

• 10x^2 + 7x - 30

• 6x^2 + 8x - 20

A bookstore has a polynomial expression for their inventory value of 8x^2 + 5x + 20 dollars. If they sell books worth 3x^2 + 2x + 5 dollars, what is the remaining value of their inventory?

• 3x^2 + 7x + 15

• 4x^2 + 2x + 25

• 5x^2 + 3x + 15

• 8x^2 + 5x + 10

A farmer has a polynomial expression for the yield of his crops of 9x^2 + 7x - 3 tons. After a bad storm, he loses crops worth 5x^2 + 4x - 1 tons. What is the new yield of his crops?

• 5x^2 + 3x - 1 tons

• 9x^2 + 2x - 3 tons

• 4x^2 + 5x - 1 tons

• 4x^2 + 3x - 2 tons

A tech company has a polynomial expression for their profits of 10x^2 + 12x - 20 dollars. If they have to subtract losses of 6x^2 + 5x - 10 dollars, what is their new profit?

• 4x^2 + 6x - 15

• 10x^2 + 7x - 30

• 4x^2 + 7x - 10

• 5x^2 + 8x - 10

A painter has a polynomial expression for the total cost of materials of 11x^2 + 3x + 15 dollars. If he returns materials worth 4x^2 + 2x + 5 dollars, what is the new cost of materials?

• 7x^2 + x + 10

• 9x^2 + 2x + 14

• 6x^2 + 4x + 8

• 8x^2 + 5x + 12

A concert venue has a polynomial expression for ticket sales of 12x^2 + 10x - 30 dollars. If they issue refunds totaling 7x^2 + 4x - 15 dollars, what is the total amount from ticket sales after refunds?

• 6x^2 + 4x - 15

• 12x^2 + 10x - 45

• 5x^2 + 10x - 30

• 5x^2 + 6x - 15