Algebraic Expressions Addition

What is the sum of the three consecutive whole numbers with 2n as the middle number?

• 6n + 3

• 6n

• 6n − 1

• 6n − 3

Oliver, Grace, and Anika are solving a math problem together. They need to add the polynomials: (2x^2 + 3x - 5) + (4x^2 - 2x + 7). Can you help them by choosing the correct result?

• 8x^2 + 5x + 2

• 6x^2 + x + 2

• 2x^2 + x - 2

• 6x^2 - 5x + 2

What is the sum of the polynomials for Mia and Michael: (3x^3 + 2x^2 - 5x + 1) + (4x^3 - 3x^2 + 2x - 7)

• 7x^3 - x^2 - 3x - 6

• 7x^3 - 5x^2 + 2x - 6

• 2x^3 - x^2 - 3x - 6

• 10x^3 + x^2 - 7x - 6

William, Scarlett, and Ava are competing in a polynomial addition challenge. Who can correctly add the polynomials: (5x^2 - 3x + 2) + (2x^2 + 4x - 1)?

• 7x^2 + x + 1

• 10x^2 + 2x + 1

• 3x^2 + x + 1

• 6x^2 - 2x + 1

Find the sum of the polynomials: (2x^4 + 3x^3 - 5x^2 + 1) + (4x^4 - 2x^3 + 7x^2 - 3)

• 3x^4 + 4x^3 + 2x^2 - 4

• 6x^4 + 2x^3 - 3x^2 - 2

• 6x^4 + x^3 + 2x^2 - 2

• 8x^4 + 5x^3 + 2x^2 - 4

What will be the result when Liam and Mia add their polynomials: (3x^3 - 2x^2 + 5x - 1) + (4x^3 + 3x^2 - 2x + 7)?

• 7x^3 - 5x^2 + 3x + 6

• x^3 + 5x^2 + 3x + 6

• 7x^3 + x^2 + 3x + 6

• 10x^3 + 5x^2 + 3x + 6

David, Priya, and Charlotte are playing a math game. Help them simplify the expression: 3x + 2y - 5x + 4y

• -2x + 6y

• 5x + 2y

• -3x + 6y

• 8xy - 5

Which expression represents the combined like terms: 5a^2b - 3ab + 2a^2b - 4ab?

• 3a^2b - 2ab

• 9a^2b - 7ab

• 4a^2b - 5ab

• 2a^2b - 4ab

Combine like terms in the expression: 4p^2q - 2pq + 3p^2q - 5pq

• 2p^2q - 7pq

• 11p^2q - 3pq

• 7p^2q - 7pq

• 5p^2q - 2pq

What is the result when you simplify the expression: 2m^2n - 3mn^2 + 4m^2n - 5mn^2?

• 4m^2n - 2mn^2

• 2m^2n - 7mn^2

• 5m^2n - 3mn^2

• 6m^2n - 8mn^2