Algebra 2 Test Review!

Simplify

100

(q⁷w⁹)(q³w³)

q¹⁰w¹²

200

(6a⁵b^-4)(8a^-9b^-6)

48a^-4b^-10

300

(x³y^-4z¹²)⁵

x¹⁵y^-20z⁶⁰

400

(d³f³¹h⁴⁵)⁰

1

500

45k²r⁷/9k⁶r^-8

5k^-4r¹⁵

Polynomials

100

(9w²+3w-11)+(12w²-45w-32)

21w²-42w-43

200

(17x²+13x-78)-(21x²-15x-43)

-4x²+28x-35

300

(3x+7y)(4x-9y)

12x²+xy-63y²

400

(11b+10c)(2b-3c)

22b²-13bc-30c²

500

(6g-13)(g²+8g-2)

6g³+35g²-116g+26

Dividing Polynomials

200

21d³f⁵-18d²f⁴+12d²f³/3d²f

7df⁴-6f³+4f²

300

16v¹²+14v⁶w⁸-8v⁵w⁷/2v⁵w³

8v⁷w⁶+7vw⁵-4w⁴

400

6x³+19x²-37x-120/x+3

6x²+x-40

500

5q³+2q²-107q-308/q-4

5q²+46q+77

Factoring

100

x²+12x+36

(x+6)²

200

4x²+28x+49

(2x+7)²

300

64x²-144

(8x-12)(8x+12) 

400

x³-2x²+5x-10

(x-2)(x²+5)

500

9x²-18x+8

(3x-2)(3x-4)

Rational Exp and Radicals

100

5u²⁴/18x⁶ divided by 10u¹⁷/3x⁷

u⁷x/12 where x and u cannot equal 0

200

12h³⁷/15b⁸n⁷ divided by 84h²⁴/75b⁹n²

5bh¹³/7n⁵

300

Simplify the square root of 18b

3 times the square root of 2b

400

Simplify the square root of 4x³

2x times the square root of x

500

Simplify the cube root of 7y⁵

y times the cube root of 7y²