Algebra 2 Chapter 9 Review

Simplifying Rational Expressions

100

(30bc)/(12b^2)

(5c)/(2b)

200

(-3mn^4)/(21m^2n^2)

(-n^2)/(7m)

300

((-3x^2y)^3)/(9x^2y^2)

-3x^4y

400

((-2rs^2)^2)/(12r^2s^3)

s/3

Multiplying and Dividing Rational Expressions

100

(3p-21)/(p^2-49)*(p^2+7p)/(3p)

1

200

(w^2-11w+24)/(w^2-18w+80)*(w^2-15w+50)/(w^2-9w+20)

(w-3)/(w-4)

300

(a^2+2a-15)/(a-3)div(a^2-4)/2

(2(a+5))/((a-2)(a+2)

400

((p^3)/(2q))/((-p^2)/(4q))

-2p

Adding and Subtracting Rational Expressions

100

Find the LCM:  x^2-y^2 , x^3+x^2y 

x^2(x-y)(x+y)

200

(3x)/(4y^2) - y/(6x)

(9x^2-2y^3)/(12xy^2)

300

(m)/(m^2-4)+(2)/(3m+6)

(5m-4)/(3(m+2)(m-2))

400

(1/x-1)/(1/(x^2)+2)

(-x(x-1))/(2x^2+1)

Direct, Inverse and Joint Variations

100

If y varies directly as x and y = 15 when x = 3, find y when x = 12.

60

200

Suppose y varies jointly as x and z. If y = 192 when x = 8 and z = 6, find y when x = 2 and z = 27.

216

300

If y varies inversely as x and y = 4 when x = 12, find y when x = 5.

9.6

400

The length, L, that a spring will stretch varies directly with the weight, W, that is attached to the spring. If a spring stretches 15 inches with 3 pounds attached, how far will it stretch with 12 pounds attached.

60

Solving Rational Equations

100

2/d+1/4=11/12

3

200

t+12/t-8=0

2, 6

300

1/(x-1)+2/x=0

2/3

400

12/(v^2-16)-24/(v-4)=3

-6, -2