Complex Numbers
Solving Quadratics
Quadratics in Different Forms
Discriminant & Best Methods
Applications
100

Simplify the following expressions 1. /sqrt(-324) 2. 2sqrt(-147)

18i and 14isqrt(3)

100

When solving quadratics graphically, what key feature is needed?

What are your x-intercepts

100

What is vertex form of a quadratic function

f(x)=(x-h)2+k

100

What information can we gather from a discriminant?

What is the number and type of roots.

100

How do you find area?

What is lxw

200

Simplify (21+9i)-(13-2i)

What is 8+11i

200

When a parabola does NOT cross the x-axis what type of solutions does it have?

What are non-real or imaginary solutions

200

What is factored form of a quadratic function?

What is f(x)=(x+r1)(x+r2).

200

Find the discriminant of -2x2+8=x2-28

What is 432

200

What formula do you use in DESMOS to find quadratic regression

What is y~ax2+bx+c.

300

Simplify 

(7-i)2


What is 48-14i

300

Solve 7x2-19x-6=0

What is x=-2/7, 3

300

Convert f(x)=x2+16x+63 to vertex form.

f(x)=(x+8)2-1

300

What is the best method for solving -x2+2x-8=0

What is completing the square or the quadratic formula

300

A chicken coup is 10 by 14 feet. The farm wants to double the current area by adding the same amount, x, to the length and width. What are the dimensions of the new enclosure?

18.85 by 14.85

400

Perform division for 8/-12i

What is 2i/3

400

Solve (x-8)2-7=25

x=8+/-4sqrt2

400

Convert f(x)=(x-1/2)2-25/4 to Standard Form.

f(x)=x2-x-6

400

Use the best method to solve 4x2+32x-36=0

x=-9,1

400

Natalie found a tennis ball outside a tennis court. She picked it up and threw it over a 12 foot fence. Using the equation h(t)=-16t2+18t+5. Will she make it over the fence.

No

500

Simplify (3-6i)/(4-3i).

What is (6-3i)/5

500

Solve 10x2+8x-1=0

x=(-4+/-sqrt26)/10

500

Identify the Axis of Symmetry and vertex of (x+9)(x+7).

AOS is x=-8; vertex:(-8,-1)

500

Find the discriminant of -2x2-5x-4=0

-7

500
Matt was frustrated with his slow laptop that he threw it out of a window. The height, h, of the laptop at t seconds if given by h(t)=-16t2+28t+17. Assuming the laptop hits the ground below find the domain. 

0<=x<=2.223