Algebra 2 Exam Review

Imaginary

100

(5i+4)(6i-12)

-78-36i

200

(6i)/(4+2i)

Put into fraction form! 

(⅗)i + (6/5)i

300

Solve the equation for x. 

2x²= -50

5i

400

Solve the equation. 

-2x²-10 = 88

7i

500

Solve the equation. 

6x²=-48

2i sqrt(2)

Factor!

100

Factor out a greatest common factor. 

6x+3

3(x+2)

200

x²-4

(x+2)(x-2)

300

x²+8x-20

(x+10)(x-2)

400

9x²-1

(3x-1)(3x+1)

500

3n³-12n²-15n

3n(n-5)(n+1)

Polynomials

100

What is the degree? 

5x³-7x²+27

3

200

How many zeros does the polynomial have? Graph on graphing calculator to find out. 

2x³-5x²+3

3

300

Calculate the relative minimum of the graph. 

Round to two decimal places. It is a point!

2x³-5x²+3

(1.67, -1.63)

400

Factor the polynomial completely. Look for a GCF first. 

2x³+10x²+12x

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

500

FOIL COMPLETELY. 

(x+1)(x-3)(x+2)

x³-7x-6

RANDOM

100

What is the inverse of the 2x2 matrix? 

Put into fraction form. 

1    2

4    5 

-5/3      ⅔     

4/3       -1/3   

200

Rewrite into radical form. 

2x^1/2

2 sqrt of x

300

Divide using synthetic division. 

(2x³-5x²-x+3) / (x+3)

2x²-11x+32 

R: -93

400

Simplify the square root of x⁷

x³ square root of x. 

500

What is (2x)^-4/3 in radical form? 

1/ cubed root of (2x)⁴

Graphing

100

What is the axis of symmetry of the parabola? 

y=x²-6x+4

x=3

200

What transformation is happening to the graph? 

x²-17

Down 17

300

Calculate the zero of the function. 

y=x³

x=0

400

Find the zeros to solve the equation. 

x²-3x-4=0

x= -1, 4

500

Find the roots. 

y=x²-9

The roots are 3 and -3