Algebra II Review

The Quadratic Formula

100

 What is the quadratic formula? 

teacher will determine the correct answer 

200

What is the solution for the following equation using the quadratic formula? -2x²+7x = 6

x=(-7±√1)/-4

300

What is the solution for the following equation using the quadratic formula? 6x²-2x + 5 = 0

x=(2±√-116)/12

400

What is the solution for the following equation using the quadratic formula? x²=-3x-5

x=(−3±√-11)/2

500

What is the solution for the following equation using the quadratic formula? x²+3x+5=0

-20/8 or -2.5

Quadratic InequalitiesFOIL

100

(x + 1) (x + 2)

x² + 3x + 2

200

(x - 4) (x + 3)

x² - x - 12

300

(2x + 1) (3x + 4)

6x²+ 11x + 4

400

(4x - 3) (2x + 3)

8x² + 6x - 9

500

(3x - 5) (3x - 4)

9x² - 27x + 20

Systems of Linear and Quadratic Equations

100

"Systems of Linear and Quadratic Equations" means that we will be graphing a _______ equation and a _________ equation.

"Linear" and "Quadratic" or a "Line" and "Parabola"

200

 What is the first technique for solving a system of equations

Solving Systems Using a Table or Graphs

300

Systems of Linear and Quadratic functions can have between how many solutions?

No Solutions, One Solution, and Two Solutions

400

What are one solutions for the following system

y = x² +2x +6

y=x+6

(0,6) and (-1,5)

500

What are the solutions for the following systems x²+x+y=6 

-3+y=x

(1,4) and (-3,0)

Factoring

100

x²+18x+32=0

(x+16)(x+2)=0

x=-16 and -2

200

x²-4x-21=0

(x+3)(x-7)=0

x=-3,7

300

2x²+x=15

x = 5/2 and -3

400

5x²-19x=-18

x= 9/5 and 2

500

2x²-6x-216=0

x= 12 or x= -9

Solve

100

(x-10)(x+20)=0

x= 10, -20

200

(3x+4)(x-4)=0

x= 4/3, 4

300

(x+4)(x-2)=0

x= -4 and 2

400

(i+3)(i-3)

-10

500

(4-i²)(4+i²)

15