Download March 2017 (Algebra II 6.0) 3/1/17 Simplify each expression and

March 2017 (Algebra II 6.0)
3/1/17
Simplify each expression and state the restriction if needed.
1)
3)
3
16x 5y 8 
2)
3
27a 7b 3 
4)
4
32m 5n 6 
32r 5s 7 
3/2/17
Simplify each expression and state the restriction if needed.
1)
3
3)
8x3 y 6
2)
4 x2 12 x  9
81x 3 y 6 x10
4)
8x10 y 6 z 3
3/3/17
Perform the indicated operation. Show all answers in simplest radical form.
1) (10  3 20)  (4  2 45)
2) (5  2 10)(4  3 5)


3) 4  3 5 4  3 5

4)
43 5
43 5
3/6/17
Perform the indicated operation. Then simplify the radical. All variables are positive.

 


1. 4  3 20  5  2 45
4. 2 45  3 5



2. 5 2  3 5 3 2  3 5
2
5.
63xy 3
7y

3.
6.
4 3
6
5
3 2
3/7/17 No Bell-work
3/8/17
Perform the indicated operation. Show all answers in simplest radical form.
1
4
1)
1
8 12 4
32 x10 y12  81x y

2)
8  54 x 5  2
4 3x3
3/9/17
Simplify following:
2
24
 3 4
1)  x 4  x 3  


 

1) 6  x 3


5
3) x 3 y 5 z 3


2)
1
2
 2 x    64 x 
3
4

0
2) 22 n6 p8 (3np 4 )2
 x y
2
23 x 3
6
4 6
z



3/10/17
Simplify each expression.
375 x5 y 4   5 x 2 y  
1
1)
3
2)
 64x7 y15  4   23 x13 y5 
1
2 14 30 0 

b 
3 2 7 a
3) 3ab c  1 10 16  

 7 a b  

 a 5b2 2 

4) 
 2 0 1 3 
 a b c


1
3
2
3
8



2

3/13/17
Express using rational exponents in simplest form.
5
1)
a6c12 x 21 y8 z 4
2)
4
81a20c3c15 x6 y5
Express in simplest radical form.
1
5
2
5
1
52 a 3b 3 x 4
3)
4)
1
7
125 2 x 5 y 4
3/15/17
Simplify each as much as possible using rational exponents.
1)
n
9
 5

x  x4  x4 



1
2
2)
y3
y

n
2
 a a
3)  x 4 y 8 


8
3/16/17
Solve each radical equation. Write no solution if needed.
1) 5 x  3  4  26
2)
1
x 1  3  9
2
3)
3/17/17
Solve each radical equation or inequality. Write no solution if needed.
1) x 5  10  2 x
2)
2x  3 1  2x  3
3)
3x  3  7  2
2x 1  x
3/20/17
1) Find the inverse of f  x   2 x  1  6 .
2) Solve by ALGEBRAICALLY and GRAPHICALLY.
2
1
x  2  3  3x  2
2
3/21/17
Solve radical equation and check your solution.
2) 2  3x  2  x
1) 3 x  2 x  14
Simplify following.
1)
 
2
4
3

1
4
2)  81 
 16 
3)  
 27 
5
Simplify following exponents.
 16 
1.  
 81 

1
2

2. 81
3
4

4
6
3. n m p
1
4 2
 n
3
9
m p
6


1
3
3/23/17
Simplify.
27 3
 
15 5
6
5 
9
15
x2  x

2 x3  2 x
x 2  4 x  21

x 2  3x
3/24/17
Simplify.
x 2  3x  10 x 2  5x  6

x 2  8x  15 x 2  4 x  4
2 x 2  9 x  9 10 x 2  19 x  6

x 1
5x2  7 x  2
3/28/17
Simplify.
x3  27
x 2  3x
x2
x2  7 x
1
2
x  4 x  21
3/29/17
Find the LCM.
20 x3 y 2 z 5 , 38x5 z 5 , 40 xy 2 z 2
x 2  6 x  9, 3x  6, 2 x3  18 x
3/30/17
Simplify.
x
3x
5


5 ( x  1) 2 x
2x
x 1
6x


x  9 2( x  3) ( x  3)
2
3/31/17
Solve for x.
3 1 x
 
5 2 3
2x 4x

5
2
3