Quadratics

Factoring

100

x²+5x=0

x=-5 and x=0

200

k²+12k-45=0

k=-15 and k=3

300

3x²-24x-48=0

x=4+4√2 and x=4-4√2

400

4x²-20x+25=0

x=2.5

500

20a²-13a-21=0

a=-.75 and a=1.4

Quadratic Formula

100

-9x²-6x-1=0

x=-1/3

200

x²+4x-3=0

x=-2+√7 and x=-2-√7

300

3x²+6x+2=0

x=(-3+√3)/3 and x=(-3-√3)/3

400

2x²-5x+8=0

x=(5+i√39)/4 and x=(5-i√39)/4

500

6x²-8x+3=0

x=(4+i√2)/6 and x=(4-i√2)/6

Complete the Square

100

Fill in the blank to complete the square: x²-6x+____

9

200

Fill in the blank to complete the square: x²+10x+____

25

300

Fill in the blank to complete the square: x²+9x+____

81/4

400

x²-8x+13=0

x=4+√3 and x=4-√3

500

x²-6x-15=0

x=3+2√6 and x=3-2√6

Solve using Square Roots

100

3x²=108

x=6 and x=-6

200

5y²+4=14

x=√2 and x=-√2

300

3(p+1)²=81

x=-1+3√3 and x=-1-3√3

400

4(x-7)²=80

x=7+2√5 and x=7-2√5

500

2(x+8)²=108

x=-8+3√6 and x=-8-3√6

Simplify the Expression

100

√(9/8)

(3√2)/4

200

(2-3i)-(6-5i)

-4+2i

300

(5+i)(4-2i)

22-6i

400

2/(4+√11)

(-2√11+8)/5

500

(4i)/(-3+6i)

8/15-4i/15