Algebra Final Project - Chapter 9

Square Roots

100

4x² = 144

x = +/- 6

200

x² + 25 = 25

x = 0

300

3x² - 12 = 0

x = +/- 2

400

n² - 64 = 0

x = +/- 8

500

x² - 9 = -16

no solution

Factoring

100

x² - 1 = 0

x = +/- 1

200

x² - 4x - 12 = 0

x = 6  x = -2

300

x² - 5x - 14 = 0

x = 7  x = -2

400

x² + 5x + 4 = 0

x = -4  x = -1

500

x² - 16x + 55 = 0

x = 11  x = 5

Quadtradic Formula

100

x² - 9x + 18 = 0

x = 6  x = 3

200

2x² - 7x - 4 = 0

x = 4  x = -1/2

300

3x² + 14x - 49 = 0

x = -7  x = 7/3

400

3x² - 24x + 3 = 0

x = 4 +/- the square root of 15

500

x² + 4x - 10 = 0

x = -2 +/- the square root of 14

Completing the Square

100

x² + 6x + 8 = 0

x = - 4  x = -2

200

x² − 12x + 11 = 0

x = 1  x = 11

300

b² + 6b - 16 = 0

b = -8  b = 2

400

6k² − 42k + 72 = 0

x = 3  x = 4

500

x² − 12x + 23 = 0

x = 6 +/- the square root of 13

GCF

100

2x - 4

GCF = 2

200

4x² - 16x

GCF = 4x

300

6x² + 36x + 72x³

GCF = 6x

400

12x³ + 42x² - 36

GCF = 6

500

24x² + 36x + 44x³ - 16 + 56x⁴³⁷

GCF = 4