Adv. Algebra Final

Finding Inverses

100

y=3x+1 

1/3x-1/3=y

200

y=4-3x

y=-1/3x+4/3

300

y=5-2x²

y=±√x+5/2

400

y=3x²-5

y=±√x+5/3

500

y=(1-2x)²-5

y=1±√x-5/2

Simplifying Radical Expressions

100

Simplify 

√20x³

What is 

2x√5x

200

Simplify 

√50x⁵

What is

5x²√2x

300

Simplify 

³√81x³

What is

3x³√3

400

Simplify 

√200a⁶b⁷

What is 

10a³b³√2b

500

Simplify

⁴√64x³y⁶

What is

2y⁴√8x³y²

Adding/Subtracting Radical Functions

100

√72+√18 

9√2

200

√75-4√18

5√3-12√2

300

√18+√16+√72

9√3+4

400

4√54-√24+3√80-7√20

10√6-2√5

500

3³√16-4³√54+³√128

-2³√2

Pascal's Triangle

100

Expand binomial

(x+a)³

What is 

x³+3x²a+3xa²+a³

200

Expand

(a+2)⁴

What is 

a⁴+128a³+144a²+32a+16

300

Expand

(x-2)⁵

What is 

x⁵-1250x⁴-4000x³-800x²-80x-32

400

Expand

(a+6)⁶

What is a⁶+46,656a⁵+1,822,500a⁴+1,728,000a²+46,656a+46,656

500

Expand

(a+b)⁶

What is 

a⁶+6a⁵b+15a⁴b²+20a³b³+15a²b⁴+6ab⁵+b⁶

Writing Polynomials in Standard Form

100

Write this in standard form.

-3+9x

What is 

9x-3

200

Write this in standard form.

4x-2+6x²

What is 

6x²+4x-2

300

Write this in standard form

7x+3+5x²

What is 

5x²+7x+3

400

Write this in standard form

5a²+3a⁵-1

What is 

3a⁵+5a²-1

500

Write in standard form 

7x⁷+3x-4x⁴

What is 

7x⁷-4x⁴+3x