Honors Algebra 2 - Final Exam Review

Exponent Properties

100

(3x^3y^-2)^-1

y^2/(3x^3)

200

4x^-3y^-4xxx^3y^-3

 4/y^7 

300

(x^2y^4)/((2x^4y^2))^3

1/(8x^10y^2)

400

((a^-4b^-3)/((a^4b^2)^-3))^(-3)

1/(a^24b^9)

500

(4y^2x)/(2yx^2xx(xy^2)^-3)^3

(x^4y^17)/2

Log Properties

100

Condense

4log_2(x)-2log_2(y)

log_2(x^4/y^2)

200

Expand

log_4(x^3yz^5)

3log_4(x)+log_4(y)+5log_4(z)

300

Condense

3log_2(a)+3log_2(b)-4log_2(c)

log_2((a^3b^3)/c^4)

400

Expand

log_3(((n u^2)/(w))^5)

5log_3(n)+10log_3(u)-5log_3(w)

500

Condense

7ln(x)-(6ln(y)+12ln(z))

ln(x^7/(y^6z^12))

Exponent/Log Equations

100

ln(r+4)=ln(2r+1)

3

200

2^(k+4)=2^(4k+10)

-2

300

log_11(2m+6)+log_11(3)=log_11(m)

-18/5

400

4^(2-m)=64

-1

500

64^(1-3n)=16^(3n)

1/5

Fraction Operations

100

5/(x+3)+5/(4x)

(25x+15)/(4x(x+3)

200

(a+7)/(a+3)-(a+1)/(6a)

(5a^2+38a-3)/(6a(a+3))

300

3/(x-3)xx(x^2-9x-10)/(x-10)

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

400

(x+4)/(7x+35) // (8x+48)/(x^2+11x+30)

(x+4)/56

500

(b+3)/(2b+14) / (b^2-5b-24)/(b^2-14b+48)

(b-6)/(2(b+7)

Solving Radical Equations

100

2k^2-1=161

+-9

200

sqrt(2n+14)=sqrt(n+8)

-6

300

3x^(3/2)+10=202

16

400

2(p-28)^(3/2)=128

44

500

-2=sqrt(3b+70)-10

-2