Algebra End of Year Final 3

Simplify Exponent Expressions

100

x^6 * x^4

x¹⁰

200

(5³)²

5⁶

300

(8w³q^-5)⁰

1

400

(24d^5f^-5g^8) / (36d^-3f^9g^2)

(2d^8g^6) / (3f^14)

500

((-4a^4b^2c^-1) / (6a^9))^-1

(3a^5c^1) / (2b^2)

Answer in Scientific Notation

100

9800

9.8 x 10³

200

109,065

1.09065 x 10⁵

300

(9.8 x 10³) (2.4 x 10⁷)

2.352 x 10¹¹

400

(9.3 * 10^3) / (3 * 10^9)

3.1 * 10^-6

500

(4.5*10^13) / (9*10^7)

5 x 10⁵

Classify Polynomials

100

What degree is 8x³ - 9x

cubic

Because the highest degree is 3

200

What term is 8x³ - 9x

binomial

300

What degree is -2 - 4x² + 7x

quadratic

400

What term is W -2 - 4x² + 7x

trinomial

500

What degree and what term is

8x²y²

degree - quadratic

term - monomial

Answer in Standard Form

100

(2h³ + 6h) + (3h³ - 7h - 3)

5h³ - h - 3

200

5x³(9x² + 4x - 5)

45x⁵ + 20x⁴ - 25x³

300

(6x + 1)²

36x² + 12x + 1

400

(x + 2)(x + 8) + (4x² + 8x - 3)

5x² + 18x + 13

500

(x + 5) ( x - 5) - 6x(x + 1)

-5x² - 6x - 25

Factor each Polynomial

100

-18x - 27

-9(2x + 3)

200

x² - 5x + 6

(x-2)(x-3)

300

2x² + 7x + 6

(2x + 3)(x + 2)

400

4x + 16xy + 9y + 36y²

(4y + 1)(4x + 9y)

500

x² - 3x - 88

(x - 11)(x + 8)