Algebra II Term I Review

Solving Quadratics

100

Find the x-intercepts:

y=x²+2x-15

(-5,0) and (3,0)

200

Find the x- and y- intercepts:

y=3x²-5x+2

x-intercepts: (-1/3,0) and (2,0)

y-intercept: (0,2)

300

Solve for x:

0=-4x²+8x+3

x= -0.32 and x=2.32

400

Rewrite the quadratic function in graphing form. 

y=x²+6x-11

y=(x+3)² - 20

500

Factor the following expression:

4x² - 9

(2x+3)(2x-3)

Solve for x

100

Solve for x:

sqrt(3x+13)=x+5

x= -4 and x=-3

200

Solve for x:

3(x-2)³=81

x=5

300

Solve for x:

|3x-6|-2=19

x=9 and x=-5

400

Solve for x:

(3x)/5=(x-2)/4

x=-10/7

500

Solve for x

(2x+3)/6 + 1/2 = x/2

x=6

Graphing Form

100

What is the vertex of this equation?

y= 3(x-7)² + 19

vertex: (7,19)

200

Where is the locator point of this graph?  Sketch it.

y= 2(x-3)³ + 5

(3,5)

300

Where are the asymptotes of this graph?  Sketch it.

y=1/(x+3) - 4

x=-3 and y=-4

400

Sketch the graph:

y=2sqrt(x+2) - 4

Endpoint at (-2,-4).  Stretch factor of 2.

500

Put the equation in graphing form and sketch the graph.  Label key points.

y=x²+2x-3

y=(x+1)² - 4

Vertex: (-1,-4)

y-intercept: (0,-3)

Simplifying Rational Expressions

100

(x^2-8x+16)/(3x^2-10x-8)

(x-4)/(3x+2)

200

(8(x+2)^3(x-3)^3)/(4(x+2)^2(x-3)^5

(2(x+2))/(x-3)^2

300

(x+3)/(2x+1)+(2x+2)/(2x+1)

(3x+5)/(2x+1)

400

(x-7)/(9(2x-1))div((x+5)(x-7))/(6x(x+5)

(2x)/(3(2x-1)

500

7/(x+5)-(4-6x)/(x+5)^2

(13x+31)/(x+5)^2

Systems of Equations

100

Solve the system:

2x + 5y = 19
y = 3x - 3 

(2,3)

200

Solve the System

3x - y = 7
2x + y = 8

(3,2)

300

Solve the system:

3x - 14y = 72
9x + 22y = 18

(9.58,-3.09)

400

Solve the System:

4x + 2y = 14
3x - 5y = -22

(1,5)

500

Solve the system:

y=2(x+3)² - 5

y=14x+17

(2,45) and (-1,3)