Larson Pre-Calc P. 1 Review

Standard Solving

100

x-(-10)=30

x=20

200

2x+6=3x-2

x=8

300

20x+2(5x+5)=100

x=30

400

3x-2(x+5)=10

x=20

500

4(x+3)-3=2(4-3x)-4

x= -1/2

Factoring Quadratics

100

x²-2x-3=0

x= 3, -1

200

x²+4x-32=0

x=4 or -8

300

x²-2x=0

x=0 or 2

400

x²+10x+25=0

x= -5 (mod 2)

500

4x²+12x+9=0

x= -3/2 (mod 2)

Extracting Roots

100

x²=100

x= 10, -10

200

3x³=81

x=3

300

(x-12)²=16

x= 16, 8

400

(x-3)²=8

x=3+- 2sqrt(2)

500

(x+5)²=(x+4)²

No Real Solution

Radicals

100

sqrt(2x)-10=0

x=50

200

4sqrt(x)-3=0

x=9/16

300

sqrt(x-10)-4=0

x=26

400

x+sqrt(26-11x)=4

x=2 or -5

500

x+sqrt(31-9x)=5

x=3 or -2

High Order

100

(x-5)^3/2=8

x=9

200

x³-3x²-x+3=0

x=3,-1,1

300

x³+2x²+3x+6=0

x=-2

400

(x+3)^2/3=8

x=-3 +- 16sqrt(2)

500

(x²-x-22)^3/2=27

x= 1/2 +- [5sqrt(5)]/2