Chapter 12 Review

Square Roots/Finding the Vertex

100

x² - 121 = 0

x = 11,   x = -11

200

4x² - 100 = 0

x = 5,   x = -5

300

7x² + 448 = 0

NO SOLUTION or x = 8i,  x = -8i

400

Find the vertex y = x² -8x + 17 

(4,1)

500

Find the vertex of  y = x² + 2x + 2

(-1,1)

Factoring Quadratics

100

Factor and solve  x² - 7x - 18 = 0

x = 9,  x = -2

200

Factor and solve  x² - 5x - 14 = 0

x = -2,   p = 7

300

Factor and solve x² - 16x + 63 = 0

x = 9,  x = 7

400

Factor and solve x² - 9x + 8 = 0

x = 1  and x = 8

500

Factor and solve x² - 12x + 35 = 0

x = 5  and x = 7

Quadratic Formula

100

Solve 2x² - x - 11 = 0

x = -5/2  and x = 3

200

Solve 2x² - x - 6 = 0

x = 2 and x = -3/2

300

Solve x² = 9x - 20

x = 5 and x = 4

400

Solve 2x² - 5x + 3 = 0

x = 1  and x = 3/2

500

Solve 4x² + 4x - 9 = 0 

x = 8.65/8 and x = 16.65/8

Complex Numbers

100

(3 + 5i) + (-2 + 7i)

1 + 12i

200

(-4 + 6i) - (5 + 8i)

-9 - 2i

300

(2 - 4i) x (-6 +4i)

4 + 32i

400

(8 - 6i) x (-4 - 4i)

-56 - 8i

500

(3 + 10i)/(7 - 4i)

(-19 + 82i)/65

System of Equations

100

y = x² + 11x - 12 and 

y = 12x + 30

(7, 114) and (-6, -42)

200

y = x² – 4x – 5  and 

 y = –x – 7

(-2, -9) and (1,-8)

300

y = x² + 2x + 5   and  

y = -2x + 1

(-2, 5)

400

y = x² - 6x + 10  and 

y = -x + 4

(3,-1) and (2,2)

500

y = x² – 2x – 3   and   

y = x + 25 

(7,32)  and  (-4,19)