Download Review for Test Chapter 4

This worksheet is due
Friday, December 12
Review for Test Chapter 4
Write the prime factorization of the number (using exponents). Show your factor tree.
1. 112
2. 54
Prime factor the monomial. Write your answer without using exponents.
3. 28xy
4. 56u v
3
2
2
List all of the factors of each number.
5. 20 : _________________________
6. 48: ______________________________
To find the GCF of variables use ________________ variables to the _____________ power.
Find the Greatest Common Factor (GCF) of the numbers or monomials.
7. 8, 28
8. 6, 15
10. 5 x ,15 x
3
2
9. 24, 30
11. 36 x y ,45 xy z
3
2
3
12. 9a b,7 a b
2
3
To find the LCM of variables use ________________ variables to the _____________ power
Find the Least Common Multiple (LCM) of the numbers or monomials.
13. 4, 6
16. 5 x ,15 x
3
14. 6, 15
2
15. 10, 8
17. 4 x y ,36 xy z
3
2
3
18. 9a b,7 a b
2
3
19. A fountain in an amusement park has special-effect devices called shooters. They shoot
columns of water at different time intervals. One shooter goes off every 8 seconds while
another goes off every 12 seconds. How long after the fountain is turned on will both shooters
go off at the same time?
Write the fraction in simplest form.
20.
16
48
21.
18
20
23.
3bc
9b
24. 
9abc
12a
22.
21
63
25.
20 m
5mn
Evaluate the expression when x=3 and y=5. Remember to simplify the fraction first.
26.
4x 4
24 x 3
27.
x2 y4
x2 y
Find the least common denominator of the fractions. Use the least common denominator to
write equivalent fractions. Complete the statement with <, >, or =.
28.
11
41
________
12
48
29. 4
3
9
________
6
2
30. 8
7
17
_________
16
2
Order the numbers from least to greatest.
31.
2 5 1 5
, , ,
3 6 2 12
4 5 5 5
32. 1 , 1 , , 1
7 14 4 8
a m  a n  a m  n To multiply powers with the same base, ___________________ their exponents.
am
To divide two powers with the same base, _________________ their exponents.
 a mn
n
a
Simplify the expression.
33. m m
8
3
34. 6  6
2
6
35. a b  ab
2
6
5
n16
36. 10
n
510
37.
57
x5 x9
38.
x2
39. 7 x 4  5 x 2
40. 3ab 2  4a 3 b 3
41. 6 x 2 y 4  2 x 5
42.
20 x 6
4x 2
43.
10 m 8
12 m 5
44.
3a 3 b
6ab
1
and
an
Any nonzero number to the power of zero is equal to ________ , a 0  1 .
A Negative Exponent means _________________, so a  n 
Simplify. Write the expression using only positive exponents.
45. x 4
46. a 6
47. 18 0
1
 an
n
a
48. k 9 k 1
49. a 8  a 3
50. x 7 x 3
51. n 4  n 2
52. q 3  q 5
53. x 0
54. 8 2
55.
x2
x6
56.
a
a3
58.
v7
v7
59.
y4
y 10
57.
m 2
m3
Write the number in scientific notation.
60. 34,600,000,000
61. 980,000,000
62. 0.000012
63. 0.0000009
Write the number in standard notation.
64. 3.5 x 10 3
65. 2.48 x 10 6
66. 5.1 x 10 4
67. 9.16 x 10 2
Find the product. Write your answer in scientific notation.
68. (5 x 10 9 ) x (4 x 1015 )
69. (5.4 x 10 -5 ) x (3.6 x 10 -9 )