March 2016 (Algebra II 5.0)
3/1/16
State the LCD, domain restriction and solve for x.
1.)
1
2
 2
x 1 x  x  2
2.)
2
1
2x 1
2
 2

x  2 x  2x  8 x  4
3/2/16
State the LCD, domain restriction and solve for x.
1.)
2x  1 5  8x 2


6x
2
3
LCD = ___________ ___________
2.)
x
2
1


x  1 x  1 2x  2
2
LCD = ___________ x  ___________
3/3/16
Simplify following expression.
1.)
22 x2

x  3 x 1
2.)
3/4/16 Both Problems for 2nd Pd. and #2 for 3rd Pd.
1.) Simplify following with correct restrictions.
4x
x 1
5
 2
 2
x  4 x  x  6 x  5x  6
2
2.) State the LCD, domain restriction and solve for x.
1
3
6x

 2
x2 x2 x 4
2x
3x
 2
x  x6 x 4
2
3/7/16
Complete the table.
-3
y
-2
-1
0
1
2
3
1
x
1
x 1
1
y
2
x 1
y
3/9/16
Find the vertical and horizontal asymptote(s).
1
x
f ( x) 
g ( x) 
x2
x6
h( x ) 
x2
x  3x  2
2
3/10/16
Answer followings of the rational function.
f ( x) 
x2
x  2x  3
2
1.) x-intercept:
2.) y-intercept:
3.) VA:
4.) HA:
5.) Complete the x/y chart:
x
y
-4
-3
-2
-1
0
1
2
3/11/16
Answer followings and sketch the graph of each rational function. Make sure to clearly
label the intercepts and the asymptotes.
y
f ( x) 
2x 1
x3
x
1.) x-int:
2.) y-int:
3.) VA:
4.) HA:
5.) x/y chart:
3/14/16
Answer followings and sketch the graph of each rational function. Make sure to clearly
label the intercepts and the asymptotes.
y
f ( x) 
3x 2  2
x 1
1.) x-int:
2.) y-int:
3.) VA:
4.) HA or SA:
5.) x/y chart:
x
3/15/16
Answer followings and sketch the graph of each rational function. Make sure to clearly
label the intercepts and the asymptotes.
y
x 2  3x  2
f ( x) 
x2
1.) x-int:
x
2.) y-int:
3.) VA:
4.) HA or SA:
5.) x/y chart:
3/16/16
Solve for x. State the LCD and Domain Restrictions.
1.)
2x  1 5  8x 2


6x
2
3
2.)
x
2
1


x  1 x  1 2x  2
2
LCD = ___________
LCD = ___________
x  ___________
x  ___________
x  ___________
x  ___________
3/17/16
Simplify the radical.
a)
9x3 y 5
b)
27ab8
c)
3
8a3b5
d)
3
48a3b5
3/18/16
Simplify the radical.
 2 x y 
2
6
7 5
 64x

3/21/16
Change into exponent form.
1.) 32
2.) 729
7
y15  
2
3
375x 5 y 4 
3.) 97,200
Simplify each expression completely using the laws of exponents.
5
14a14b30
4.)
5.)  22 x6 y 7   __________
 __________
10 16
7a b
3/22/16
Simplify each expression.
 
1) 6  x 3


5
3) x 3 y 5 z 3


0
2) 22 n6 p8 (3np 4 )2
 x y
2
6
4 6
z




 a 5b2 2 

4) 
3
2 0 1
 a b c

2

3/29/16
Perform the indicated operation. Show all answers in simplest radical form.
1)
4
1
8 12 4
32 x y  81x y
10 12

2) (10  3 20)  (4  2 45)
3/30/16
Perform the indicated operation. Show all answers in simplest radical form.
84k 14t 29
1)
2) 4n 6 p 8 (6n 2 p 4 ) 2
2
7 k 5t 8


3) (5  2 10)(4  3 5)


4) 4  3 5 4  3 5

3/31/16
Simplify each expression.
 16 
1.  
 27 
5
4.  n m p
4
5

2. 81
4
 n
2
2
4
m p
1

3
3
4
 
5
3
0
3.  80   5 16 



 d 2 f 3 g 4
5.  6 5
 d f g


 
3
 d 2  
 5  
  g  
3