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
Math 432
Name___________________________________
Review #2
Date________________ Period____
©H W2V0X1z4Z CKAudtHaE cSFoufTt1wja9rjex 7LLLOCI.M 5 uAnlZlo 4rMiugShEttsC 7rWedsye5r3vLeudN.0
Solve each equation.
1)  v 
2)  m 
Solve each inequality and graph its solution.
3)  x 
4)  r 

                





Simplify each expression.
5)

 
a  

 



6)  k  k



(
u

7)
u


x
 


8)


u
 


9)

u
 


y
x
 


10)

x
  
y y
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-1-
)
Worksheet by Kuta Software LLC

Simplify.
11)

i
12)
i
i
13)
i
i
14)
i
i
15)

 
16)
 
 
17) (i)(i)(i)
18) (i)(i)
19) (i)(i)(i)
20) (i)(i)(i)
Solve each equation.
21) 


n n


22)
 
 
  n
n 

 

(
)
Solve each equation. Remember to check for extraneous solutions.
23)
m  m
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24) n n
-2-
Worksheet by Kuta Software LLC

Simplify. Your answer should contain only positive exponents.
25) 
27)
y   x  y 
26)
( x  ) 
( x  y  ) 
28)
 y x  y 
n 
(m n )  n
x  y 
 x  y   x  y  ( x  y  )

Factor each completely.
29) a  a  a
30) v  v  v
31) n  n
32)  x   x
Solve each compound inequality and graph its solution.
33) aa or aa
      






35) mmm
      




34) aa and aa
        




36) nn or nn


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        
-3-




Worksheet by Kuta Software LLC

37) Julia created a metal containing 44% iron by
combining two other metals. One of these
other metals weighed 3 kg and contained 30%
iron. If the other weighed 2 kg, then what
percent of it was iron?
38) A metallurgist needs to make 15 oz. of an alloy
containing 48% gold. He is going to melt and
combine one metal that is 75% gold with
another metal that is 30% gold. How much of
each should he use?
Simplify each expression.
39) (m  m)(mm  )
40) (vv  )(v  vv  )
Find each product.
41) (b)(b)
42) ( p) 
43) ( x)( x)
44) (v)(v)
Solve each quadratic equation.
45) n  n
46) a  aa 
47) m  
48)  x   x
49) p   p
50) k  k
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-4-
Worksheet by Kuta Software LLC

51) a  a
Simplify.
52)    
 
54)
56)
58)
60)
(
)( )
53)    
 (  )
55)
57)



n 

b 
59)

 x 
61)   x  y 

62)   x  y 


63)   x  y 
Simplify each expression.
64)


 
 x x
65)

v
 
v

66)
x
 x

 x  x

67)
n
n
 
n n n

©R P200X1S4x mKQuJtmaR YSOoDfCtBwwavrqe2 lLkLACR.p Q 2AklTlT 2rbiCgmhMtFsV JrKe7sPeirbvbe2di.N 1 vMUaWd0e7 OwcietxhC NIhnEfbiUn4i5tOek IAulfg6eGbMrvaS 52R.Z
-5-
Worksheet by Kuta Software LLC

Solve each equation. Remember to check for extraneous solutions.
68)


 x
  

 x  x
x
69)

x   x


x  x
x
71)

m  m

m
m
Simplify each expression.
70)

r  

r  r

72) A cattle train left the station and traveled
toward New York at an average speed of 50
mph. Some time later a passenger train left
traveling in the same direction but at an average
speed of 90 mph. After traveling for ten hours
the passenger train caught up with the cattle
train. How long did the cattle train travel
before the passenger train caught up?
73) Jessica made a trip to the town hall and back.
The trip there took five hours and the trip back
took four hours. She averaged 30 km/h on the
return trip. Find the average speed of the trip
there.
Solve each question. Round your answer to the nearest hundredth.
74) It takes Perry 16 hours to harvest a field.
Jasmine can harvest the same field in 8 hours.
Find how long it would take them if they
worked together.
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75) It takes Natalie ten hours to harvest a field.
Jose can harvest the same field in 13 hours.
How long would it take them if they worked
together?
-6-
Worksheet by Kuta Software LLC

Answers to Review #2
1) , 
3) x or x :
2) No solution.

4) r :








  

19) i
23) 
24) 
15)


 x  
8)

i
12)

 
16)

20) i

7)

11) i




a



u 
9)
u
i
13)

17) i
 

21)
28)  y
x 

y
31) n(n)
32) ( x)( x)
33) { All real numbers. } :
       
         











26) m  n 
22)
y
25) 
x
29) (a  )(a)
27)
34) a :


k




y  y x
10)
 y x
i
14)

18) i
6) 
5)

30) (v  )(v)


35) No solution. :
       





         


36) n or n :

38) 6 oz. of 75% gold, 9 oz. of 30% gold
39) m  m


41) b 
43)  x   x
42)  p  p
45) , 

47)  ,   
46)
,

49)  ,   
i  i 
   
,
50)
,




52)   
53)   
   
,




55)  
56)  
57) 




b b 
59) n  n
60)  x 
61)  x  y   x


 x
v
 xy  
63)  y  x  y
64)
65)
( x)( x)
(v)
67) n




69)
68) ,
x( x)


72)
18
hours
73)
24
km/h
71) 
r
r
5.33 hours
75) 5.65 hours
37) 65%
40) v  v  v
44) v  v
48)
51)
54)
58)
62)
66)
70)
74)



 

©F 42h0S1e4f vKOuSt1aC ISqoGfwtLw3aYrpej eLRLYCn.y E tA7lFlE Jrui0g4hrtSsJ qrpe7sBeHrEvSeAdK.j O qMGatdye9 nwriytvh6 wIYnSfDi3nBihtme6 yAulWgOeKbAr0aU 42U.Q

-7-




Worksheet by Kuta Software LLC
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