Adding and Subtracting Polynomials

Which of the following are examples of like terms?

• 2 and 2x
• y³ and x³
• y and x
• -3x and 3x

What is the standard form of the polynomial,
 9x² + 5x + 27 + 2x³

• 27 + 5x + 9x² + 2x³
• 9x² + 5x + 2x³ + 27
• 9x² + 5x + 27 + 2x³
• 2x³ + 9x² + 5x + 27

Subtract: (2a² + 5a + 3) -(a² - 3a - 4)

• 3a² + 2a - 1
• a² + 8a + 7
• 3a² + 8a + 7
• a² + 2a - 1

Add: (3x - 2) + (3x² + 6x)

• 3x² + 9x - 2
• 6x² + 4x
• 3x² + 3x - 2
• 6x² + 6x - 2

Find the sum.
(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

What is the type of polynomial 3x⁴ + 2x² + 5x ?

• monomial
• binomial
• trinomial
• polynomial

What is the degree of the polynomial 3x⁴ + 2x² + 5x ?

Mathematical Equivalence

ON

What is the perimeter of the rectangle?

• x²+8x-5

• 2x²+16x-10

• 2x²+10x-8

• 6x-2

Match the following expressions with their simplified forms.

• (4a³ - 8a - 4a²) + (1a³ - 7 - 6a)

• 11a³ - 4a² - 14a - 7 

• (4a³ - 8a - 9a²) + (1a³ - 7 - 12a)

• 5a³ - 4a² - 14a - 7 

• (4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

• 5a³ - 9a² - 20a - 7

• (4a³ - 8a - 4a²) + (1a³ - 7 - 12a)

• 5a³ - 4a² - 20a - 7