Algebra 2 Final Review

Radicals

100

The value under the radical sign is known as this.

radicand

200

(3sqrt6)/sqrt2

3sqrt3

300

solve: 

sqrt(x+37)+8 = 14

x = -1

400

2sqrt( 2)(3sqrt6-7sqrt24)

   

-44sqrt3

500

(8xy^3)/sqrt(10y)

(4xy^4sqrt(10y))/5

Exponentials

100

simplify 

x^2/x^9

1/(x^7)

200

simplify 

8^(2x+7)/16^2

2^(6x+13)

300

solve 

(1/25)=5^(2x+4)

x = 1

400

name the 3 transformations this graph would have from its parent functions of 

y=b^x

- reflection over x axis (vertical)

- horiz shift LEFT 3 units

- vertical shift DOWN 2 units

500

Solve 

3^(3x)=3^(2x+4)

x = 4

Logs

100

log100

2

200

lne^5

5

300

log(x^3/1000)

3logx-3

400

Solve. Leave in ln form

2^(x+6)= 20

(ln20/ln2)-6

500

The two starting points you should use when graphing a log function with a base of 4.

(1,0)   and (4,1)

Rationals

100

Factor 

(x^2-49)

(x+7)(x-7)

200

Where is this function undefined? 

(x+7)/(x-2)

when x = 2

300

Simplify 

(x^2-8x-20)/(x^2-5x-50)

(x+2)/(x+5)

400

add 

(7/(x-10))+((2x)/(10-x))

(7-2x)/(x-10)

500

The horizontal and vertical asymptotes of 

(1)/(x-6)+3

horiz @ y = 3

vertical @ x = 6

Algebra Vocab

100

If you are finding the quotient of two expressions, you are doing this operation 

What is division?

200

The reciprocal of 

3/5

5/3

300

Find the constant in this expression

2x^3 + (3+x)^2-8

-8

400

A number multiplying a variable - like the 5 in 5x

What is a coefficient?

500

The guy for whom the constant e is named

Who is Euler?