Alg/2 Final Review

Unit 1B abs value

100

|8a+10|+3<25

(Show in INTERVAL NOTATION)

(-19/4 , 9/4)

200

if |x|=-4, what are the possible values of x? 

NO SOLUTION LOL

300

3|m+8|=39

m={-21,5}

400

6|-5n|+7>37

show in int. notation

(-∞,-1) U (1,∞)

500

What does "U" mean??

OR

Unit 2A

100

Complete the square 

3x²-30x=-69

x={5 plus or minus 4rad3}

200

complete the square 

4x²+76=16x

x={2 plus or minus i rad 15}

300

Solve the following

-x²+10x=8

x={5 plus or minus rad 17}

400

Find the center and radius of the following 

x²+y²+6x=-5

RADIUS= 2

CENTER=-3,0

500

Factor the following.

4x-11x=x-9

x={3/2}

Unit 3B

100

27x³=1

x=1/3 REAL, 

-1+or- i rad 3/6 IMAGINARY

200

Divide the following. 

x²+2x-6 RAD x⁴+3x³-5x²-8x+6

x²+x-1

300

sub the following. 

5x²-(x⁴-3x²)

-x⁴+8x²

400

add the following. 

(3x²+2x-1)+(2x²-5x+4)

5x²-3x+3

500

mult the following. 

(x-5)(2x²+x+4)

2x³-9x²-x-20

Unit 4 rational eqs

100

y²+8y/y²-9 + 2y+21/ y²-9

y+7/y-3

200

add the rational w an unlike base 

5/w+1 + 8/w-7

13w-27/(w+1)(w-7)

300

solve the following rational expression

y/3 = y+8/y+5

y=-6,4

400

solve the following rational expression 

2x-3/2 = 3/x+4

x= -9/2,2

500

9x+12/16 - 7x+2/16

x+5/8

RANDOM (mostly U6 LOGS)

100

expand 

log6

(can be expanded different ways)

log2+log3

200

log₃(4x+8)-7=-3

x=73/4

300

log₄(m²)=log₄(18-7m)

m=-9,2 

400

find the inverse of the following function

f(x)=x-8/3

f^-1(x)=3x+8

500

solve.

6x²-11x-10=0

x={-2/3, 5/2}