11.2: Solving With Inverses

Factor

100

Factor Completely. 

x^2-9x+18

(x-3)(x-6)

200

Factor Completely 

5x^2+30x

Yes, passes HLT

300

Factor Completely. 

4x^2-9

(2x+3)(2x-3)

400

Factor Completely

3x^2-x-10

(3x+5)(x-2)

500

Factor Completely

6x^2-9x-6

3(2x+1)(x-2)

Solving Square Root Equations

100

Solve for x

sqrt(x-3)=0

x=3

200

sqrt(3p-14) = 7

p=21

300

5 sqrt(b-9) = 50

b = 109

400

-3sqrt(2k+5)= 12

No solution

500

sqrt(-9-3x) = 2

x = -13/3

Solving Quadratic Equations

100

Solve for x. Leave your answers as exact fractions, if necessary.

(x+3)^2+7=4

No solution

200

Solve for x. Leave your answers as exact fractions, if necessary.

(x+3)^2+4=13

x=0 and x=-6

300

Solve for x. Leave your answers as exact fractions, if necessary.

3(3x-1)^2-14=13

x=4/3 and x=-2/3

400

Solve for x. Leave your answers as exact fractions, if necessary.

170(67x+41)^2+38=38

x=-41/67

500

Solve for x. Leave your answers as exact fractions, if necessary.

(x+5)^2+7=12

x=-5+sqrt(5)

x=-5-sqrt(5)

Solving Cubic and Cube Root Equations

100

Solve for x. Leave your answers as exact fractions, if necessary.

(x+3)^3+7=6

x=-4

200

Solve for x. Leave your answers as exact fractions, if necessary.

root(3)(x-7)=-2

x=-1

300

Solve for x. Leave your answers as exact fractions, if necessary.

1/2 (2x-1)^3+1=5

x=3/2

400

Solve for x. Leave your answers as exact fractions, if necessary.

-(x+3)^3+7=4

x=-3-root(3)(3)

500

2 root(3)(2w-6) = 8

w = 35