Algebra 2 Final Review (Genesee-DeBruno)

Solve the Equation

100

Solve:

4(x − 3) + 5 = 2x + 7

x = 7

200

Solve:

 6-4(6x+7) >= 122 

x <= -6

300

Solve:

 2/4x+3/5=1/3x+8/5 

x = 6

400

3(x+1)-[2(3-2x)-3(3-x)] = 2(x+5)-4

x = 0

500

Solve the system of equations:

x + 5y = 4

2x - 10y = 20

(7, -3/5)

Factor and Solve for X

100

x²+10x+25

x = 5 (dr)

200

x² - 9

x = 3, -3

300

2x²+7x+3

x = -3, -1/2

400

4x² - 25

x = -5/2, 5/2

500

9x²-24x+16

x = 4/3 (dr)

Simplify

100

Simplify:

(2v³)² (2v²)

8v⁸

200

Simplify:

 sqrt(-72) 

6i sqrt(2)

300

Simplify:

 6sqrt(4x^2)+2sqrt(4x^2)-5sqrt(36x^2) 

-16x

400

Simplify:

 7sqrt(150x^4) 

35x^2sqrt(6)

500

Simplify:

 (2x^2y^4 4x^2y^4 3x)/(3x^-3y^2) 

8x⁸y⁶

Complex Numbers

100

Simplify:

2(4-i)-4(6+2i)

-16 - 10i

200

Simplify:

i⁷⁶

1

300

-(7+i)(1+4i)

-3 - 29i

400

Simplify:

 (4+2i)/(3+2i) 

(16 - 2i)/13

500

Simplify:

 (2-2i)/(1-i) 

2

Lines and Quadratics

100

Find the equation of the line that goes through the points: (3, 3) and (4, 6)

y = 3x - 6

200

Find the equation of the line that is perpendicular to -2x + y = -3 and goes through (12, 4)

y = -1/2x + 10

300

Find the vertex and the roots:

y=2(x+1)²-7

Vertex: (-1, -7)

Roots: x = 

-1 + sqrt(7/2), -1 - sqrt(7/2)

400

Find the vertex and the roots:

y=4/3(x-1)^2-2

Vertex: 1, -2

Roots: x = 1 + sqrt(3/2), 1 - sqrt(3/2)

500

Find the vertex and the roots:

y=2x²-6x+1

Vertex: (1.5, -3.5)

Roots: x = (3 + sqrt(7))/2, (3 - sqrt(7))/2

Random!

100

If someone "spills the tea," what are they doing in modern slang?

Gossiping

200

The only sport that has been played on the moon.

Golf!

300

What is the national animal of Scotland?

A unicorn

400

Which recent movie caused a global shortage of pink paint?

Barbie

500

What is a group of Pandas called?

An embarrassment