Chapter P Review!!

Properties, Union and Intersection, Radicals

100

(1, 4, 6, 13, 21) U (2, 5, 6, 11, 25)

(1, 4, 5, 6, 11, 13, 21, 25) 

200

13(6)^1/2 - 5(6)^1/2

8(6)^1/2

300

Rationalize the denominator 

30/(5)^1/2

6(5)^1/2

400

What property is this 

a + (b + c) = (a + b) + c

Associative property of addition

500

Rationalize the denominator

5/(6 + (3)^1/2)

(30 - 5(3)^1/2)/33

Adding, Subtracting, and Multiplying Polynomials

100

5(2x - 3) + 7x

17x - 15

200

(x - 5)(x + 5)

(x² - 25)

300

(6x² + 2x -15) - (9x² - 10x) 

-3x² + 12x -15

400

(-6x³ + 7x² - 9x + 3) + (14x³ + 3x² -11x -7) 

8x³ + 10x² - 20x - 4  

500

(7x²y + 1)(2x²y - 3)

14x⁴y² - 19x²y - 3

Factoring Polynomials

100

x²- 4x - 5

(x - 5)(x + 1)

200

(4x² - 16)

4(x - 2)(x + 2) 

300

(x³ - 27)

(x³ - 3)(x² + 3x + 9)

400

9x² + 5x - 4

(9x - 4)(x + 1) 

500

48y⁴ - 3y² 

3y²(4y + 1)(4y - 1)

Fractions

100

18ab²/2b

9ab

200

7x⁵y⁶/28x¹⁵y²

y⁴/4x¹⁰

300

3x/(x+2) + x/(x-2) 

(4x² - 4x)/(x+2)(x-2)

400

(x² + 2x)/(x² +4x + 4)

x/(x+2)

500

(x/(x² - 9)) + ((x - 1)/(x² + 5x + 6))

(2x² - 2x + 3)/((x - 3)(x + 3)(x + 2))