Larson Pre-Calc Chap P/1 Review

Solving Equations

100

x+11=15

x=4

200

7x+3=3x-17

x=-5

300

x-3(2x+3)=8-5x

No Solution

400

7/(2x+1) - (8x)/(2x-1) = -4

x=11/6

500

2/[(x-4)(x-2)] = 1/(x-4) + 2/(x-2)

x=4

Quadratics

100

x²-2x-8=0

x= 4 or -2

200

33+19x-2x²=0

x=-3/2 or 11

300

3/4x²+8x+20=0

x= -20/3 or -4

400

-x²+8x=12

x=6 or 2

500

x²+2ax+a²=0

x= -a (mod 2)

Higher Order

100

(x+13)²=25

x= -8 or -18

200

(x+2)²=14

x= -2 +/- sqrt (14)

300

x⁴-81

x= -3, 3

400

27x³-512=0

x= 8/3

500

4x⁴-65x²+16=0

x= -1/2, 1/2, -4, 4

Roots/Abs Value

100

Sqrt(2x) -10 = 0

x= 50

200

(x+3)^3/2=8

x=1

300

x+sqrt(31-9x)=5

x= 3, -2

400

|x²+6x|=3x+18

x=3, -6 (mod 2), -3

500

|x-10|=x²-10x

x= 10 (mod 2), -1

Inequalities

100

2x-1>=1-5x

x>= 2/7

200

4(x+1)<2x+3

x<-1/2

300

|3-4x|>=9

x>=3 or x<= -3/2

400

x²<=9

[-3,3]

500

x²-6x+9>=16

(-inf, -1] U [7, inf)