Non-Linear Equations Review

Absolute Value Equations

100

abs(x+7)=10

x = 3 and x = -17

200

abs(8x+4)=28

x=-4 and x=3

300

-abs(x+3)=21

No Solution

400

abs(x+13)/-2=-20

x=-53 and x=27

500

-abs(2x+2)/5=-10

x=-26 and x = 24

Rational Equations

100

24/(x+1)=1/2

x=47

200

9/7=9/(7x-7)

x=2

300

9/(x-7)=6/x

x=-14

400

(x+10)/(x-7)=8/9

x=-146

500

(x-8)/5=(x-6)/6

x=18

Radical Equations

100

sqrt(x/2)=4

x=32

200

sqrt(4x+13)-1=6

x=9

300

2sqrt(x-11)-8=4

x=4

400

sqrt(x+7)=sqrt(3x-19)

x=13

500

sqrt(x-7)/3=1

x=16

Okay, Fine. Here's a Linear Equation

100

2+5x+2x=-12

x=-2

200

-3(4x-8)=-36

x=5

300

6(-x-3)=24

x=-7

400

-16+5x=-7(-6+8x)+3

x=1

500

10(x+3)-(-9x-4)=x-5+3

x=-2