Algebra 3 Quarter 2 Review

System of Equations

100

7x-9y=7

y=-7

(-8,-7)

200

y=8x+9

y=-9x-8

(-1,1)

300

6x-y=-10

-9x-y=20

(-2,-2)

400

-4x+7y=15

x+y=-12

(-9,-3)

500

2x+y=12

9x-8y=4

(4,4)

Simplifying Radical Fractions

100

sqrt(12/49)

(2sqrt3)/7

200

sqrt(105/42)

(sqrt(10))/2

300

sqrt((15x^5)/64)

(x^2sqrt(15x))/8

400

sqrt((75x^7)/(98y^6)

(5x^3sqrt(6x))/(14y^3)

500

sqrt((4x^3y^3)/27

(2xysqrt(3xy))/9

Solve Radical Equations

100

-2+sqrt(h)=13

h=225

200

1=sqrt(x+19)-10

x=102

300

-19+4sqrt(10-15h)=1

h=-1

400

-6sqrt(16-17z)-6=-12

z=-1

500

-20sqrt(-52+17u)-1=-81

u=4

Simplify Rational Expressions

100

(7c^2-3c)/(7c-3)

c

200

(m^2-2m-35)/(m-7)

m+5

300

(12d+30)/(6d^2+15d)

2/d

400

(3y-26y+16)/(9y^2+6y-8)

(y-8)/(3y+4)

500

(9c^2-42c+49)/(12c^2-13c-35)

(3c-7)/(4c+5)

Multiply & Divide Rational Expressions

100

(5d+2)/(8d) div (5d+2)/(40d^2+32d)

5d+4

200

(12k)/(5j) div (7k)/(13jk^2)

(156k^2)/35

300

(h+1)/(9h+1) times (9h^2-8h-1)

(h+1)(h-1)

400

(j^2+18j+81)/(5j-1) times (5j-1)/(j^2+7j-18)

(j+9)/(j-2)

500

(2s^2+3s-2)/(3s+2) div (2s-1)/(3s+2)

s+2

Add & Subtract Rational Expressions

100

z-(yz)/5

(5z-yz)/5

200

(4bc^5)/5 + (bc)/3

(12bc^5+5bc)/15

300

w/(9w-10) - w/(w+4)

(-8w^2+14w)/(9w^2+26w-40)

400

c/(7c-7) + (5c)/(21c-21)

(8c)/(21c-21)

500

c/(c^2-3c-18)+2/(c-6)

(3c+6)/(c^2-3c-18)