Download Study Guide Unit 2, Test 2

Study Guide Unit 2, Test 2
Name ______________________________________
Simplify each expression.
1) (2)
3
5 2
5) (4d )
9)
x 4 y 2 z 8
xy6 z
109
2)
104
6) (3x y )( 9 x y)
6
10)
12a 7 h2
4)
4a 3 h
a6
3) 6
a
3
2
14b 9
7b 6
2 0
7) 23 ∙ (9 )
11) 45 ∙ 4-5 ∙ 13
12)
5
8
8) k  k  k
5k 5  3k 2  2k 8
13) For a number to be written in scientific notation the first factor must have exactly _________ digit
before the decimal and the second factor must be a power of ________.
14) Write a number that is not in scientific notation and tell why it is not in the proper form.
Write in scientific notation:
15) 45,600,000
16) 0.000829
17) 1250
Write in standard form:
18) 5.6 x 102
19)
2.7 x 10-3
Find the product. Be sure your answer is written in scientific notation.
21) 2.1 x 10-3  4 x 107
22) (1.9 x 103 )(4.5 x 102)
Find the quotient. Be sure your answer is written in scientific notation.
23)
6  10 3
2  10 4
24)
0.782  10 2
3.4  10 2
20) -2.01 x 104
25) 6c  8  2(2c  1)
26)
27) 9x  8  x  8
28)
3(x  2)  1  2(x  5)  5x
3( x  6)  5 x  8
29) Lake Superior has roughly 25 times the volume of Lake Erie. If the volume of Lake Superior is
approximately 1.22 x 104 km3, what is the approximate volume of Lake Erie?
30) A box contains 5 x 103 paper clips. The mass of each paper clip in the box is 8 x 10-4. What is the
combined mass of the paper clips in the box?