Quadratics

Complex Numbers

100

(10-12i)+(6+4i)

16-8i

200

(7-5i)-(6+9i)

13-14i

300

Solve the equation and write your answer as a complex number.  x²+64=0

x=8i or -8i

400

(4-5i)(3+8i)

52+17i

500

3+2i/2+5i

16-11i

The Quadratic Formula

100

Identify a, b, and c.  Do not solve.

x²-6x+5=0

a = 1  b = -6  c = 5

200

Identify a, b, and c.  Do not solve.

5x²-7x=9

a = 5  b = -7  c = -9

300

State the quadratic formula.

x is equal to -b plus or minus the square root of b²-4ac all over 2a.

400

Solve -3x²+x+5=0

(1+sqrt61)/2 or (1-sqrt61)/2

500

Solve 2x²=4x+30

x = -3 or 5

Completing the Square

100

What number would you add to complete the square?  x²-18x + c

c = 81

200

Write x² + 30x + 225 as the square of a binomial.

(x+15)²

300

Solve by completing the square.  

x²+10x=39

x = -13 or 3

400

Solve by completing the square.

x²-24x+44=0

x = 2 or 22

500

Find the number that should be added to complete the square.  

(4/5)x

4/25

Factoring

100

Factor x²+8x+15

(x+3)(x+5)

200

Solve x²+5x-24 by factoring.

x = 3 or -8

300

Factor 3x²+34x+11.

(x+11)(3x+1)

400

Solve 8x²-34x+24=-11 by factoring.  

x = 7/4 or 5/2

500

Solve 12x³-22x²-4x by factoring.

x = 0, x = 2, x = -1/6

Grab Bag

100

Find the inverse function of y = -4x + 7

y = (x - 7)/-4

200

Simplify 

sqrt(360x^5yz^2

6x^2zsqrt(10xy)

300

Solve 5x²-10=20

x=sqrt6 or x =-sqrt6

400

Solve the equation 

4abs(5x+8)-9=7

x = -4/5 or -12/5

500

Write the equation of the function that shifts 

y = x²  6 units left and 12 units down.

y=(x+6)^2-12