Algebra 2 Final Exam Review

Mixed 1

100

Solve:  (21x-2)(2x+29)=0

2/21, -29/2

200

Solve:  21x(9x + 13) = 0

0, -13/9

300

Simplify:

 sqrt(-8) 

2sqrt(2)

400

What is the Degree, Leading Coefficient, Maximum Number of X-Intercepts, Maximum Number of Turning Points

f(x) = 7x²(x + 5)⁴(x - 9)²(x - 2)³(x + 8)⁴

Degree = 15

Leading Coefficient = 7

Maximum Number of X-Intercepts = 15

Maximum Number of Turning Points = 14

Mixed 2

100

What is the Degree and Y-Intercept?

f(x) = 5x⁵ + 3x⁴ + 9x³ - 2x² - 3

Degree = 5

Y-Intercept = (0, -3)

200

What is the End Behavior:

f(x) = 6x⁸ + 42x⁷

Up on Left

Up on Right

300

What is the End Behavior:

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

Up on left

Down on right

400

Divide: (2x³ - x - 51) / ((x - 3)

2x² + 6x + 17

Mixed 3

100

Solve:   sqrt(x+3)=-6 

No Solution / None

200

Solve: 

sqrt(7x-4)-5 = 4

85/7

300

Solve:   sqrt(-x-4)+4=6 

-8

400

Write in Standard Form:

 -x(x-2)(x-3) 

-x³ + 5x² - 6x

Mixed 4

100

Add -8 - 4i and 6 - 3i

-2 - 7i

200

Multiply:

5i(5 + 3i)

-15 + 25i

300

Multiply:

(3 + 5i)(7 - 6i)

51 +17i

400

Solve:

x² +5x + 6 = 0

-2, -3