Adding and Subtracting Polynomials in Real-Life Scenarios

A gardener has a flower bed represented by the polynomial 3x^2 + 5x + 2. After planting new flowers, the bed's area is represented by the polynomial 2x^2 + 3x + 4. What is the total area of the flower bed after planting?

• 3x^2 + 2x + 2

• 4x^2 + 6x + 5

• 5x^2 + 8x + 6

• 6x^2 + 5x + 8

A school is organizing a fundraiser and has collected money represented by the polynomial 4x^2 + 6x + 10. After expenses, they spent 2x^2 + 3x + 5. How much money do they have left?

• 4x^2 + 6x + 10

• 0x^2 + 0x + 0

• 2x^2 + 3x + 15

• 2x^2 + 3x + 5

Tags

CCSS.HSA.APR.A.1

A car rental company charges a base fee represented by the polynomial 5x + 20 for a day. If they add an additional fee represented by the polynomial 3x + 15 for insurance, what is the total charge for renting a car for a day?

• 10x + 20

• 5x + 25

• 8x + 35

• 6x + 30

Tags

CCSS.HSA.APR.A.1

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

• 6x^2 + 7x + 3

• 5x^2 + x + 2

• 4x^2 + x + 3

• 2x^2 + x + 5

Tags

CCSS.HSA.APR.A.1

A construction company has a project budget represented by the polynomial 10x^2 + 15x + 25. If they reduce the budget by 4x^2 + 5x + 10, what is the new budget?

• 10x^2 + 15x + 35

• 5x^2 + 10x + 20

• 6x^2 + 10x + 15

• 6x^2 + 5x + 5

Tags

CCSS.HSA.APR.A.1

A bookstore has a collection of books represented by the polynomial 7x^2 + 2x + 12. If they donate books represented by the polynomial 3x^2 + 4x + 5, how many books remain in the collection?

• 4x^2 - 2x + 7

• 5x^2 + 6x + 17

• 10x^2 - 2x + 5

• 3x^2 + 6x + 8

Tags

CCSS.HSA.APR.A.1

A farmer has a field represented by the polynomial 8x^2 + 3x + 6. After selling a portion of the field represented by the polynomial 2x^2 + 2x + 3, what is the area of the field left?

• 6x^2 + x + 3

• 8x^2 + 5x + 6

• 5x^2 + 2x + 3

• 2x^2 + x + 3

A tech company has a product line represented by the polynomial 9x^2 + 5x + 7. If they discontinue a product represented by the polynomial 4x^2 + 2x + 3, what is the value of the remaining product line?

• 5x^2 + 3x + 4

• 4x^2 + 3x + 5

• 9x^2 + 7x + 3

• 6x^2 + 4x + 10

Tags

CCSS.HSA.APR.A.1

A painter has a canvas area represented by the polynomial 5x^2 + 7x + 9. If they paint over an area represented by the polynomial 2x^2 + 3x + 4, what is the area left unpainted?

• 2x^2 + 3x + 4

• 5x^2 + 7x + 9

• 3x^2 + 4x + 5

• 7x^2 + 10x + 13

A music store has a collection of instruments represented by the polynomial 6x^2 + 8x + 10. If they sell some instruments represented by the polynomial 3x^2 + 2x + 5, how many instruments do they have left?

• 3x^2 + 8x + 5

• 9x^2 + 10x + 15

• 3x^2 + 6x + 5

• 6x^2 + 2x + 10

Tags

CCSS.HSA.APR.A.1