Add and Subtract Polynomial Practice

What technique can be use to add polynomials?

• combining like terms
• counting the exponents
• subtracting the coefficients
• multiplying the variables

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

• 9x -7
• -9x-11
• 9x+7
• x+7

(4x²+ x) - (x²+ 2x)

• 3x² - x
• 4x² + 2x
• 3x² + 3x
• 3x² + 2x

Simplify each expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3 
• -7n² - 8n + 3 
• -6n² - 8n + 3
• -7n² - 4n + 3

Simplify each expression.
(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

• 4b⁴ - 2b³ + 7
• 5b⁴ - 2b³ + 4
• b⁴ - 2b³ + 7
• 5b⁴ - 2b³ + 7

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

• 2x² + 3x +1
• -2x² - 11x -4
• 2x² + 5x -7
• -2x² + 11x -4

Simplify the expression:
(3x⁴ - 4 - 5x²) - (1 - x² + 2x³)

• 3x⁴ - 2x³ - 4x² - 5
• 3x⁴ - 7x³ - 4x² - 5
• 3x⁴ - 7x³ - 4x² - 4
• 3x⁴ - 5x³ - 4x² - 4

Simplify the expression:
(p³ - 6p⁴ + 1) - (8p⁴ - 8p³ + 7)

• -14p⁴ + 9p³ - 6
• -14p⁴ + 9p³ + 6
• -14p⁴ + 9p³ - 1
• -15p⁴ + 9p³ + 6

Simplify:

• 9n³ + 4n
• 7n³ + 6
• -3n³ + 2
• 7n⁶ + 6

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

• x - 12
• 15x + 6
• 36x + 40
• 17x + 9,000