Adding and Subtracting Polynomials in Everyday Life

A gardener has a rectangular garden with a length represented by the polynomial 3x + 5 and a width represented by 2x + 4. What is the total length and width of the garden when combined?

• 3x + 9

• 6x + 7

• 4x + 8

• 5x + 9

Tags

CCSS.HSA.APR.A.1

A school is planning to build a new playground. The cost of the equipment is represented by the polynomial 1500 + 200x, and the installation cost is represented by 800 + 100x. What is the total cost of the playground?

• 800 + 100x + 1500

• 2300 + 300x

• 1500 + 200x + 800

• 2300 + 200x

Tags

CCSS.HSA.APR.A.1

Maria has a collection of x^2 + 3x + 2 marbles. She gives away 2x + 1 marbles to her friend. How many marbles does Maria have left?

• 2x + 1

• x^2 + 3x + 3

• x^2 + x + 1

• x^2 + 2x + 2

Tags

CCSS.HSA.APR.A.1

A car rental company charges a base fee of 50 + 10x for renting a car, where x is the number of days. If a customer returns the car after 3 days, what is the total charge?

• 80

• 70

• 100

• 90

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

In a bakery, the number of cupcakes made in a day can be represented by the polynomial 4x^2 + 3x + 1. If they sell 2x^2 + x cupcakes, how many cupcakes are left at the end of the day?

• 3x^2 + 3x + 1

• 4x^2 + x + 1

• 2x^2 + 3x + 2

• 2x^2 + 2x + 1

A bookstore has a stock of books represented by the polynomial 5x^3 + 2x^2 + 4. If they sell 3x^3 + x^2 + 1 books, how many books remain in stock?

• 3x^3 + 3x^2 + 5

• 2x^3 + 3x^2 + 1

• 5x^3 + 2x^2 + 4

• 2x^3 + x^2 + 3

Tags

CCSS.HSA.APR.A.1

A farmer has a field represented by the polynomial 6x^2 + 4x + 3. After harvesting, he finds that 2x^2 + 2x + 1 of the crops are left. What is the polynomial representing the crops harvested?

• 6x^2 + 2x + 3

• 5x^2 + 3x + 1

• 2x^2 + 3x + 1

• 4x^2 + 2x + 2

A movie theater sells tickets represented by the polynomial 20x + 15 for adults and 10x + 5 for children. What is the total revenue from ticket sales if x represents the number of tickets sold?

• 15x + 30

• 40x + 25

• 25x + 10

• 30x + 20

Tags

CCSS.HSA.APR.A.1

A construction project has a budget represented by the polynomial 10000 + 500x. If they spend 2000 + 300x on materials, what is the remaining budget?

• 9000 + 100x

• 8000 + 200x

• 10000 - 2000 + 500x

• 6000 + 300x

Tags

CCSS.7.EE.A.1

A tech company produces gadgets represented by the polynomial 8x^2 + 6x + 4. If they discard 3x^2 + 2x + 1 gadgets due to defects, how many gadgets are still usable?

• 5x^2 + 4x + 3

• 8x^2 + 3x + 1

• 6x^2 + 4x + 2

• 5x^2 + 2x + 4

Tags

CCSS.HSA.APR.A.1