Add and Subtract Polynomials

Alice and Bob are playing with numbers. Alice writes down the equation 
(3- 2x + 2x²) and Bob writes down (4x -5 +3x²). Find the difference between Alice's and Bob's equations.

• x_² + 6x + 8

• 2x² + 5x - 7

• -x² -6x + 8

• -2x² + 11x - 4

Tags

CCSS.HSA.APR.A.1

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

Tags

CCSS.HSA.APR.A.1

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

Tags

CCSS.HSA.APR.A.1

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

Tags

CCSS.HSA.APR.A.1

Bob and Sarah 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

Tags

CCSS.HSA.APR.A.1

Bob is planning to expand his orchard. He currently has
(3x² - 3x + 2) apple trees and plans to plant more. After planting (x² - 2x + 1) apple trees, how many apple trees will Bob have in total?

• A
  4x³-2x²+2

• B
  4x² - 5x + 3

• C
  -2x³+2x+2

• D
  4x³-2x²-2

Tags

CCSS.HSA.APR.A.1

Lisa is calculating the total expenses for her bakery's renovation project. She initially estimated the expenses as (4n⁴ - 8n + 4) dollars. However, after a detailed review, she found an overestimation of (8n² + 4n⁴ + 1) dollars in her calculation. What is the corrected total expenses?

• -8n² - 8n + 3 

• -7n² - 8n + 3 

• -6n² - 8n + 3

• -7n² - 4n + 3

Tags

CCSS.HSA.APR.A.1

Imagine you're a project manager, Alex, overseeing the construction of two different wings of a hospital. The East Wing requires materials quantified by the expression (x⁵ + x³), and the West Wing requires materials quantified by the expression (6x - x³ + 6x⁵). How much material is needed in total when you subtract the needs of the West Wing from the East Wing?

• -5x⁵ + 2x³ - 6x

• 7x⁵ - 6x

• -5x³ + 2x² - 6x

• -5x⁵ - 6x

Tags

CCSS.HSA.APR.A.1

At Lucy's Cafe, Lucy is working on the financials for the month. She applies the formula:
(6c³ + 6 - c⁴) - (8c³ - 6c⁴ + 2) to calculate her monthly expenses and profits, where c represents the number of coffee batches brewed. Simplify the expression to find the formula for her monthly financial calculation.

• 4c⁴ - 2c³ + 7

• 5c⁴ - 2c³ + 4

• c⁴ - 2c³ + 7

• 5c⁴ - 2c³ + 7

Tags

CCSS.HSA.APR.A.1

Sarah is planning a small party and is calculating the total cost of decorations and snacks she bought. She spent on decorations
 (5x + 2) dollars and on snacks
 (4x + 5) dollars. Combine like terms to find the total cost.

• 9x -7

• -9x-11

• 9x+7

• x+7

Tags

CCSS.7.EE.A.1