Algebra ll EOC Review

Polynomial Arithmetic

100

Multiply. Your answer should be a monomial in standard form. 

(-3m⁵)(-2m⁴)

6m⁹

200

Subtract -7a² + 3a - 9 from 5a² - 6a - 4. Your answer should be a polynomial in standard form. 

12a² - 9a + 5

300

A rectangle has a height of 2x⁴ and a width of x² + 8x + 15. Express the area of the entire rectangle. Your answer should be a polynomial in standard form. 

2x⁶ + 16x⁵ + 30x⁴

400

Expand and combine like terms. 

(4m⁵ - 5m⁶)(4m⁵ + 5m⁶) 

16m¹⁰ - 25m¹²

500

Which polynomials are in standard form? Select all that apply:

A. 10 - n

B. 5n + 3n³ - 1

C. n + 4n² - 7n³

D. None of the above.

D

Polynomial Arithmetic

100

Expand. Your answer should be a polynomial in standard form. 

(3a² - 1)(-3a² + 5)

-9a⁴ + 18a² - 5

200

Expand and combine like terms. 

(5 + 6b³)²

36b⁶ + 60b³ + 25

300

Expand. Your answer should be a polynomial in standard form. 

3h(-h² + 2h - 1)

-3h³ + 6h² - 3h

Complex Numbers

100

Express your answer in the form (a + bi). 

(3 - 91i) + (67)

(70 + 91i)

200

Find the solutions of the quadratic equation              4x² + 10x + 13 = 0. 

Choose 1 answer:

 

A. -5/8 + or - 3 root 3/8 i

B. 5/4 + or - 3 root 3/4 i 

C. -5/4 + or - 3 root 3/4 i

D. -5/4 + or - 3 root 3/4

D

300

Your answer should be a complex number in the form  a + bi.  

(-2)(4 + 4i)

-8 - 8i

400

Express the radical using the imaginary unit, i.

square root of -4

2i

500

Multiply and simplify the following complex numbers: 

(-2 + 2i) (5 + 5i)

-20

Polynomial Factorization

100

A rectangle has an area of 6n⁴ + 20n³ + 14n^2. 

The width of the rectangle is equal to the greatest common monomial factor of 6n⁴, 20n³, and 14n². 

What is the length and width of the rectangle? 

Width = 2n²

Length = 3n² + 10n + 7

200

Factor completely: 

64y⁶ - 48y³ + 9

(8y³ - 3)²

300

Find the missing factor A that makes the equality true. 

8x³ = (-2x)(A)

-4x²

400

Factor completely: 

7x⁵ - 21x⁴ + 14x³

7x³(x -2)(x - 1)

500

Factor completely: 81p⁸ - 100

(9p⁴ + 10)(9p⁴ - 10)

Polynomial Factorization

100

Factor the polynomial by its greatest common monomial factor. 

6x³ + 8x² - 4x

2x(3x² + 4x - 2)

200

A rectangle has an area of 60y⁴ square meters and a length of 30y meters. 

What is the width of the rectangle?

2y³