Algebra II Chapter 3 jeopardy

Solving Quadratics 1

100

t^2 = 400

t = 20 and t=-20

200

x^2 = 14x - 40

x= 4 or x =10

300

4w^2 = 4w - 1

w = 1/2

400

x^2 + 10x + 28 = 0

x = -5 ± i*sqrt(3)

500

x^2 + 4x + 4 = 2

-2 ± sqrt(2)

Complex Numbers

100

Find the square root: 

sqrt(-49)

7i

200

Simplify: (8 - 3i) + (1 + 2i)

9 - i

300

Find the square root: 

-2sqrt(-100)

-20i

400

Simplify:

sqrt(-36) - 3sqrt(-12)

6i - 6i*sqrt(3)

500

Simplify, and write answer in standard form:

(2-3i)(-1+2i)

4+7i

Completing the Square/ Quadratic Formula Facts

100

What value of c completes the square for x^2 + 14x + c?

c= 49

200

What value of c completes the square for 

x^2 - 5x + c

c=25/4

300

What is the quadratic formula?

What is the discriminant?

x = (-b ± sqrt(b^2 - 4ac)) / (2a)

b^2 - 4ac

400

Find the discriminant of 34b² + b + 289 = 0 and describe the solutions

Discriminant = -38999; two imaginary solutions

500

Convert to vertex form:

h(t)=-16t^2 +32t+12

h(t)=-16(t-1)^2 +28

Solving Quadratics 2

100

x^2 - 12x + 36 = 0

x=6

200

5x^2 + 5x - 1 = 4x^2 + x

x = -1 or x = 1

300

2x^2 - 14x =36

x = 9 or x = -2

400

3r^2 - 18r - 6 = 0

r = 3 ± sqrt(11)

500

-5x^2 =3x-1

-5x^2 =3x-1

(-3pm sqrt(29) )/10

Nonlinear Systems

100

What are the the methods for solving systems of equations?

graphing, substitution, elimination

200

How many solutions can a system with a parabola and a line have?

0, 1, or 2 solutions

300

x^2 + y^2 = 16 and y = -x + 4

 

(0, 4) and (4, 0)

400

y = x^2 + 4

y = 2x + 1

no solution

500

x^2 + y = -9 and -x + y = -4

(sqrt(5), sqrt(5)-4) and (-sqrt5, -sqrt5 -4)

or (2.24, -1.76) and (-2.24, -6.24)