Algebra 2--Quadratics and Complex Numbers

Discriminant

100

Find the discriminant and tell the types of solutions for 

3x^2 + 5x - 2 = 0

What is 49, 2 real rational solutions

200

Find the discriminant and tell what type of solutions for 

x^2 - 3x + 4 = 0

What is -7, 2 imaginary solutions

300

Find the discriminant and tell what type of solutions for 

2x^2 - 3x + 4 = 8

What is 41, 2 real irrational solutions

400

Find the discriminant and tell what type of solutions for 

-4x^2 = 5x + 6

What is -71, 2 imaginary solutions

500

Find the values of a for which the equation has 2 imaginary solutions 

ax^2 + 4x - 6 = 0

What is 

a<-2/3

Solving Quadratics

100

Solve.

4x^2 + 9 = -80

What is 

(i sqrt(89)) / 2 and (-i sqrt(89))/ 2

200

Solve:

x^2 - 8x + 40 = 6

What is 

4+3i sqrt(2), 4-3i sqrt(2)

300

Solve: 

x^2 + 12x + 64 = -10

-6 + i sqrt(38), -6 - i sqrt(38)

400

Solve: 

11x^2 = -4x - 1

What is 

-2/11 + (i sqrt(7)) / 11, -2/11 - (i sqrt(7)) / 11

500

Solve: 

6x^2 + 2 = -4x

What is 

-1/3 + (i sqrt(2)) /3 , -1/3 - i (sqrt(2)) / 3

Add/Subtract/Reduce Complex Numbers

100

(2+3i) + (4+7i)

What is 6+10i

200

(5+6i) + (4-2i)

What is 9 + 4i

300

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

What is 3+3i

400

(2-7i) - (1-4i)

What is 1-3i

500

Simplify

i^90

What is -1

Multiplying/Dividing Complex

100

(3+2i)(5-i)

What is 17+7i

200

(6+2i)(6-2i)

What is 40

300

(2+3i)(4+7i)

What is -13+26i

400

1/(2+3i)

What is 

(2-3i)/13

500

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

What is 

(1+4i)/2

Solving Nonlinear Systems

100

On a graph, the solutions of a system are found at the ___________

What are the intersections?

200

y = x² + 3x - 5

y = 3x - 4

What are (-1, -7) and (1, -1)?

300

y = 2x² - 5x + 1

y = 5x - 7

What are (1, -2) and (4, 13)?

400

y = x² - 2x + 4

y = -x² + 2x + 4

What are (0, 4) and (2, 4)?

500

y = x² + 7x - 2

y = 4x - 5

What is 

(-3+-isqrt3)/2