Chapter 4 Review-Quadratic Functions and Relations

4.1/4.2

100

Solve the following by graphing:

x²+2x-3=0

x=-3 or 1

200

Solve the following by graphing:

-x²-6x-9=0

x=-3

300

Solve the following by graphing:

3x²+4x+3=0

No real solutions. 

400

Solve the following by graphing:

x²-6x+5=0

x=1 or 5

500

Solve the following by graphing:

-x²+2x-4=0

no real solutions

4.3

100

Factor the following:

x²+x-6

(x+3)(x-2)

200

Factor the following:

5x²-17x+6

(5x-2)(x-3)

300

Solve the following:

(3x+1)(x+9)=0

x=-1/3 or 9

400

Solve the following:

x²+6x+8=0

x=-4 or -2

500

Solve the following:

2x²+3x-2=0

x=1/2 or -2

4.4

100

Simplify. 

(1+5i)-(1+2i)

3i

200

Simpilfy. 

(-3-3i)+(-7+3i)

-10

300

Simplify. 

(8-i)(6+6i)

54+42i

400

Simplify. 

(-3+8i)(-2+3i)

-18-25i

500

Simplify. 

(5+8i)/(7+7i)

(13+3i)/14

4.5

100

Solve the following using the Square Root Property:

x²-8x+16=1

x=3 or 5

200

Solve the following using the Square Root property:

x²+4x+4=1

x=-1 or -3

300

Find the value of c that makes the trinomial a perfect square:

x²+5x+c

c=25/4 or 6.25

400

Solve the equation by completing the square:

x²-13x+36=0

x=4 or 9

500

Solve the equation by completing the square:

2x²+7x-4=0

x= -4 or 1/2

4.6/4.7

100

Find the discriminant of the following equation and with that number determine how many roots:

x²-8x+16=0

0, 1 rational root

200

Find the discriminant of the following equation and with that number determine how many roots:

3x²-2x=0

4, 2 rational roots

300

Solve the following using the Quadratic Formula:

x²-4x-11=0

2+sqrt(15) or 2-sqrt(15)

400

Write the following in vertex form:

y=x²+6x+4

y=(x+3)²-5

500

Write the following in vertex form:

y=2x²-4x-5

y=2(x-1)²-7