Algebra 2 - 3.0 Review

Single and ready to mingle Radicals

100

Simplify √45

3√5

200

Simplify √75

5√3

300

Simplify 2√12

4√3

400

Simplify 5√48

20√3

500

Simplify -7√96

-28√6

Rationalizing is SO RAD

100

Simplify 

2 / sqrt(3)

(2sqrt(3))/3

200

Simplify

sqrt(2/5

sqrt(10)/5

300

Simplify 

5/(3sqrt(2)

(5sqrt(2))/6

 

400

Simplify 

(2sqrt(2))/sqrt(3)

(2sqrt(6))/3

500

Simplify 

sqrt(18)/(4sqrt(3))

sqrt(6)/4

These radicals LIKE or DON'T like each other

100

Simplify 

-10sqrt(7)+12sqrt(7)

2sqrt(7)

200

Simplify 

-2sqrt(3)+3sqrt(27)

7sqrt(3)

300

Simplify 

-3sqrt(24)-sqrt(5)

-6sqrt(6)-sqrt(5)

400

Simplify 

-3sqrt(3)-sqrt(8)-3sqrt(3)

-6sqrt(3)-2sqrt(2)

500

Simplify 

-sqrt(20)+3sqrt(20)-4sqrt(45)

-8sqrt(5)

Factoring is SO FUN!

100

Factor:

x^2-5x+6

(x-2)(x-3)

200

Factor:

x^2-16

(x+4)(x-4)

300

Factor:

4x^2-25

(2x+5)(2x-5)

400

Factor:

2x^2+24x+72

2(x+6)(x+6)

500

Simplify:

3x^2+33x-180

3(x+15)(x-4)

These are even MORE fun!

100

Factor: 

2x^2+7x+6

(x+2)(2x+3)

200

Simplify: 

6x^2+37x+6

(6x+1)(x+6)

300

Simplify:

4x^2-15x-25

(4x+5)(x-5)

400

Simplify: 

15x^2-27x-6

2(5x+1)(x-2)

500

FINAL JEOPARDY QUESTION:

Simplify: 

16x^2+60x-100

4(4x-5)(x+5)