Algebra 2 Quadratic Review

Solving by Factors or Square Roots

100

Solve for x: 4x^2 = 400

x = 10 & -10

200

Solve for x: 3x^2 -18 = 57

x = 5 & -5

300

Solve for x: x^2 -10x +16 = 0

x = 2 & 8

400

Solve for x: x^2 -4x -45 = 0

x = 9 & -5

500

Solve for x: 2x^2 -28x +48 = 0

x = 12 & 2

Complex Numbers

100

i^2 = ???????????????

-1

200

Sq. Root of -64

+/- 8i

300

(4+2i) - (7-12i)

-3+14i

400

(3+2i)(5+4i)

7+22i

500

(16+14i)(27-7i)

530+266i

Completing the Square

100

Find the value of C that completes the square: x^2 +10x +c

c = 25

200

Find the value of C that completes the square: x^2 -26x +C

C = 169

300

Complete the square and solve for x: x^2+6x+3=0

x = -3 +/- sq.rt. 6

400

Complete the square and solve for x: x^2 -10x+7=0

x = 5 +/- 3sq.rt.2

500

Complete the square and solve for x: x^2 +12x +8 = 0

x = -6 +/- 2 sq.rt. 7

Quadratic Formula

100

Solve using the quadratic formula: x^2 -14x +49 =0

x = 7

200

x^2 -4x +3 =0

x = 3 & 1

300

x^2 +121 = -22x

x = -11

400

Find the discriminant, say what type of answers you will get, and then solve. x^2 +12x +36

0; one real: x=-6

500

x^2 -x +6 = 0

-23; two imaginary: x = (1+/- i sq.rt. 23)/2

Miscellaneous

100

What type of sequence is this?

2,4,6,8

What is an arithmetic sequence?

200

How many more days are their until the grade book closes?

What is 11? (or 9 school days)

300

Solve (5+2i) + (3-6i). Write in the form of a +bi

What is 8+-4i?

400

How many more days until school ends? 

What is 58 days?

500

Is the following a polynomial? Why or why not?

2x+3y-5z^-2

What is no