Adding and Subtracting Polynomials

Which of the following are examples of like terms?

• 2 and 2x
• y³ and x³
• y and x
• -4x 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

Add: (3x - 2) + (3x² + 6x)

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

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

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

Find the sum.
4(3x² – 4x + 5) + 2x( x – 4)

• 14x² – 24x + 20

• 14x² - 8x + 20

• 12x³ - 14x + 12

• 14x⁴ - 24x² +20

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

• x + 10y - 10z
• -x +10y - 10z
• x -10y - 10z
• -x -10y - 10z

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

• quadratic monomial

• linear binomial

• quadratic trinomial

• linear trinomial

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

• 1
• 2
• 3
• 4

What is the perimeter of the rectangle?

• x²+8x-5

• 2x²+16x-10

• 2x²+10x-8

• 6x-2

Simplify the expression.
(a)(-8 - 4a) - 7(a² - 1 )

• -11a² - 8a + 7 

• 3a² - 8a - 7 

• -11a² - 15

• 3a² - 1