Final Exam Review

Radical Operations

100

rad(81x⁴)

9x²

200

2rad(5) + 7rad(5)

9rad(5)

300

2 rad(12) + 3rad(27)

13 rad(3)

400

-3rad(12) * 4rad(3)

-72

500

rad(2)[rad(18) + 4rad(3)]

6 + 4rad(6)

Quadratic Inequalities

100

What kind of line is <? 

Solid

200

What is the axis of symmetry of this parabola?

y < x² + 4x + 4

-2

300

What is the vertex?

y = (x + 2)² - 4

(-2,-4)

400

What are the transformations for this equation?

f(x)=-2|x - 1| + 3

 

Reflected over x-axis

Vertical Stretch factor of 2

Shift Right 1 Unit

Shift Up 3 Units

500

What is the vertex AND list the transformations:

y = -3(x+7)² + 5

(-7, 5)

Reflection over x-axis

Vertical stretch factor of 3

Shift left 7 units

Shift up 5 units

Complex Numbers

100

i²=?

-1

200

i²⁷=?

-i

300

(3i)(-2i)(5i)=?

30i

400

rad(-7) * rad(-2)

-rad(14)

500

(2+3i)(5+7i)

-11+29i

Solving Quadratics

100

Solve by factoring

x² + 6x + 8

x = 2

x = 4

200

Solve by Factoring:

 2a² - 6a + 4 = 0

a =  2

a = 1

300

Solve by factoring:

7x² - 21x = 0

x = 0

x = 3

400

Solve by factoring

4x² - 16x = 48

x = 6

x = -2

500

Solve by factoring:

7x² + 15x + 2 = 0

x = -1/7

x = -2 

Solving Quadratics (perfect squares)

100

rad(144)

12

200

rad(50)

5rad(2)

300

x² - 36 = 0

x= +/-6

400

5x² + 100 = 0

+/- 2irad(5)

500

[-1 + rad(-4)]+[-12 + rad(-81)]

-13 + 11i