Algebra 2 Unit 1 Review

Exponents

100

^x-4y2x-1⁄_(2y^-2)⁴

^y10⁄_16x⁵

200

^2x3⁄_(y^-2)²y⁰

2y⁴x³

300

xy⁰*(2x^-4y⁰)⁴

¹⁶⁄_x¹⁵

400

^3xy-3⁄_2x⁰y²

^3x⁄_2y⁵

Polynomial Operations

100

(2n³-4n⁴-8n²)+(6n³-n²-8n⁴)

-12n⁴+8n³-9n²

200

(7b⁴+8+b)-(6b⁴-6b²-7)

b⁴+6b²+b+15

300

8n³(8n²+6n+3)

64n⁵+48n⁴+24n³

400

(8x+4)(7x²-x-8)

56x³+20x²-68x-32

Factoring

100

200k³+160k²+25k+20

5(8k²+1)(5k+4)

200

6x²+13x-8

(2x-1)(3x+8)

300

5m²-80

5(m+4)(m-4)

400

2y³+128

2(y+4)(y²-4y+16)

Solving

100

2k²-20=-3k

x = ⁵⁄₂ OR x = -4

200

2x²-7=-5x

x = 1 OR x = ^-7⁄₂

300

Complete the square to solve x²-12x-11=-2

x = 6+3√(5) OR x = 6-3√(5)

400

Solve using Quadratic Formula: b²+5b=5

x = ^-5+3√(5)⁄₂ OR x = ^-5-3√(5)⁄₂

Slope

100

What does a positive slope mean?

Line is rising or Increasing from left to right

200

What is the slope of a vertical line?

Undefined

300

(3,5) & (-2,6)

m = ^-1⁄₅

400

(-3,-7) & (-2,-4)

m = -11