Adding and Subtracting Algebraic Expressions

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

Add the polynomials.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

• 4x³ + 1x² – 3x + 1

• 2x³ + 1x² - 5x + 9

• 6x³ + 1x - 1x² - 3

• 3x⁵ +1x - 1x⁵ - 3x

(3x + 4y - 3z) - (2x - 6y + 7z)

• x + 10y - 10z

• -x +10y - 10z

• x -10y - 10z

• -x -10y - 10z

Combine like terms to simplify:
 (5x + 2) + (4x + 5)

• 9x -7

• -9x-11

• 9x+7

• x+7

Combine like terms.

6x + 3 - 2x + 5

• 8x + 8

• 4x + 9

• 8x + 8

• 4x + 8

(x³-x²+4) - (3x³-2x²+3)

• -2x³-3x²+7

• -2x³+x²+1

• 2x³-3x³-1

• 4x³-3x²+7

Add the polynomials.
(2x + 5y) + (3x - 2y)

• 3x + 5y

• 5x + 3y

• 5x + 7y

• 7xy + 1xy

(-7n - 5) + (8n - 8)

• 5n - 20

• n - 20

• 11n - 20

• n - 13

(-4r + 8) - (-3r + 2)

• -r + 11

• -r + 3

• -r + 6

• 6r + 3

(-3p² - 8p⁴) - (-3p² -6p⁴)

• 4p⁴ - 6p²

• 4p⁴

• 4p⁴ - p²

• -2p⁴