Unit 1 Review

Factoring

100

Factor completely: x(2x+1)+4(2x+1)

(x+4)(2x+1)

200

Factor completely: x²-2x-15

(x-5)(x+3)

300

Factor completely: 9x²-9x+2

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

400

Factor completely: 36x²-49

(6x+7)(6x-7)

500

Factor completely: y⁵-81y

y(y²+9)(y+3)(y-3)

Exponents/Radicals

100

Simplify (2x³y⁶)⁴

16x¹²y²⁴

200

Simplify (5x² / y⁴)^-2

y⁸ / 25x⁴

300

Simplify (-5x⁴y⁰)(-6xy⁷)

30x⁵y⁷

400

Simplify 6/(sqrt5 + sqrt3)

3(sqrt5 - sqrt3)

500

Simplify cuberoot(4throot(16)+sqrt(625)

3

Equations

100

Solve |2x-1|=-3

No solution!

200

Solve 2|3x-2|=14

x=3, -5/3

300

Solve sqrt(x+10) = x-2

x=6

400

Solve x-sqrt(x+11)=1

x=5

500

Solve A=2lw+2lh+2hw for h. 

h=(A-2lw)/(2l+2w)

Inequalities

100

Solve 5-2x<17

x>-6

200

Solve 5<2x+3<9

1<x<3

300

Solve -6<0.5x-4<-3

-4<x<2

400

Solve 5<6-x<12

-6<x<1

500

Solve 5|2x+1|-3>9

x<-1.7 or x>0.7