Algebra 1 Year 2 Final Review

Simplifying Radicals

100

√8

2√2

200

√24

2√6

300

√(18x³)

3x√(2x)

400

√(75y⁷)

5y³√(3y)

500

√(108x⁴y⁵)

6x²y²√(3y)

Radical Operations

100

3√6 + 5√6

8√6

200

-4√2+7√2

3√2

300

√27 + 10√3

13√3

400

√5(√2 + 6)

√10 + 6√5

500

2√7(3√2 - 6√3)

6√14 -12√21

Solving Radical Equations

100

√x + 3 = 8

x = 25

200

√x - 5 = -9

x = 16

300

√(2x + 6) = 6

x = 15

400

√(3x - 1) = √(2x + 5)

x = 6

500

√(5x + 9) = √(2x + 3)

x = -2

Factoring Quadratics

100

Factor x² + 7x + 10

(x + 5)(x + 2)

200

Factor x² - 9x + 20

(x - 5)(x - 4)

300

Factor x² - 6x - 16

(x - 8)(x + 2)

400

3x² + 11x + 6

(x + 3)(3x + 2)

500

4x² - 12x - 7

(2x - 7)(2x + 1)

Solving Quadratic Equations

100

x² + 8x + 15 = 0 

x = -3, x = -5

200

x² - 9x + 14 = 0 

x = 2, x = 7

300

x² + 12x + 36 = 0 

x = -6

400

2x² + 9x + 4 = 0 

x = -4, x = -1/2

500

5x² - 7x + 2 = 0 

x = 1, x = 2/5