Add and Subtract Polynomial Word Problem

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1

• -2x² - 11x -4

• 2x² + 5x -7

• -2x² + 11x -4

Find the sum.
(5x² -3x + 4) + (6x -3x² - 3)

• 3x² + 2x + 1

• 2x² + 3x +1

• 2x² + 5x - 7

• 3x² + 4x⁵ -7x

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

• 3y³ + 7y² - 4y + 3

• 4y² + 3y³ - y + 3

• -y⁴ + 2y³ -y - 4

• 4y³ + 3y² -3y + 1

Solve the following problem.
(13x + 30) - (20x + 6)

• -7x + 24

• -33x - 42

• 133x + 36

• 260x + 180

Solve the following problem.
(9x + 17) + (19x - 27)

• 28x + 44

• 28x - 10

• -28x + 10

• -171x - 459

Solve the following problem.
(3x - 4) + (12x + 10)

• x - 12

• 15x + 6

• 36x + 40

• 17x + 9,000

Lisa and John are comparing their savings over the year. Lisa's savings can be represented by the polynomial (3- 2x + 2x²), indicating her savings in thousands over x months, while John's savings are represented by (4x -5 +3x²), also in thousands over x months. Calculate the difference between Lisa's and John's savings. 

• x_² + 6x + 8

• 2x² + 5x - 7

• -x² -6x + 8

• -2x² + 11x - 4

John is managing his budget for the month. He records his income as (3- 2x + 2x²) dollars and his monthly bills as (4x -5 +3x²) dollars. Calculate the difference between his income and bills. 

• x_² + 6x + 8

• 2x² + 5x - 7

• -x² -6x + 8

• -2x² + 11x - 4

John and Emily are planning to prepare two types of cookies for a local charity event. The first cookie recipe requires ingredients costing (2x² + 5x - 7) dollars, and the second cookie recipe requires ingredients costing (3 - 4x² + 6x) dollars. How much will the ingredients for both cookie types cost in total?

• 2x² + 3x +1

• -2x² - 11x -4

• 2x² + 5x -7

• -2x² + 11x -4

Alice is managing the finances for her two startups over the past year. The profit from the first startup is represented by the equation 4x - 2x³, and the profit from the second startup is given by 5x³ - 4x + 5. Alice needs to calculate the combined annual profit from both startups.

• 3x³ + 5

• 3x³ + 8x + 5

• 3x² + 5

• 7x³ + 8x + 5