Algebra 2 Final Review

Chapter 4

100

Solve using any method

0 = x² - 49

x=-7, x=7

200

Solve by factoring 

x²+5x-81= 5x

x=-9, x=9

300

Solve for x

(3x+2) / (2x-1) = (7x) / (2x-1)

No solution

400

Solve 3x+y=1

         y=x+9

x=-2, y=7

500

Solve for a; a²+b²=c²

a=  √c²-b² 

Chapter 5/6

100

Solve for x 

log₇(5x+3)=3

x=68

200

Evaluate log₆(216)

3

300

Multiply the expression 2m²(m+5)

2m³⁺10m²

400

Express as single logarithm and simplify 

log₆9+log₆24

3

500

Write 8³=512 in logarithmic form

log₈(512)=3

Chapter 5/6

100

Solve for x

162=2(3)^x

x=4

200

Calculate using mental math

log_x8=1/2

x=64

300

Multiply expression

(3b-2c+3)(3b²-bc-2c²)

9b³-9b²c-4bc²+4c³+9b²-3bc-6c²

400

Write an inverse for f(x)=15x²-10

0, -10

500

Divide 

(2x⁴+5x³+7x²+16x+15) / (2x+3)

x= -3/2

Chapter 8

100

Write results in the form a+bi

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

-4

200

Factor 64p³-8q³

8(2p-q)(4p²+2pq+q²)

300

Find zeros by using Quadratic formula 

g(x)=2x²-6x+5

3/2, 1/2

400

(2x⁴+5x³+7x²+16x+15) / (2x+13)

x= -13/2

500

Find end behaviors of the function 3x³-7x²+2x-6

Down/Up

as x→-∞, f(x)→-∞

as x→∞, f(x)→∞