Name_________________________________________________________
Chapter
10
Test B
Evaluate the expression.
1. 7
Date __________
2
Answers
2.
1
5
4. 2 +
6
6
(− 3)
1
3. 1 –  
5
5
3
5. 8 – 8
1
6. −  
4
2
3
1.
2.
3
3.
4.
1
mile on Sunday. On each day after the weekend, you run
2
1.5 times as far as you did the day before.
7. You run
5.
6.
7. a.
a. How far do you run Monday?
b.
b. Write and evaluate an expression to find the distance you run
5 days after Sunday (Friday). Round to the nearest tenth of a mile.
8. The kinetic energy in joules of a 50-kilogram runner running at
8. a.
v meters per second is modeled by the equation E = 25v 2 .
See left.
b.
a. Write and simplify an expression for the kinetic energy of a runner
running at 3v meters per second. Is it three times as great as the
kinetic energy at v meters per second? Explain your reasoning.
9.
10.
11.
12.
b. The kinetic energy of a runner running at v meters per second
13.
is 70 joules. What is the runner’s kinetic energy at 3v meters
per second?
14.
15.
Simplify the expression.
3 
4 
9.  w 
57 a
12. 4 2
5 a
2
10.
35
32
13.
(3 x )(− 2 x)
2
11.
4
3
b6
(2b)3
q 2 • q5
14.
q7
15. The distance between two towns is 80 kilometers, or 8 × 106 centimeters.
On a map the distance is 40 centimeters. How much larger is the actual
distance than the map distance?
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Big Ideas Math Blue
Assessment Book
117
Name _________________________________________________________ Date _________
Chapter
10
Test B (continued)
16. There is 10 –2 meter in a centimeter. How many square meters are there Answers
in a square centimeter?
16.
Simplify. Write the expression using only positive exponents.
–3
17.
2z
4 z –5
18. 12 x –7 • 5 x –4
19.
(ab)
17.
–3
18.
a2
19.
Write the number in standard form.
20. 7.05 × 106
21. 2.0 × 10 –1
20.
22. 4.773 × 108
21.
Evaluate the expression. Write your answer in scientific notation.
23.
25.
(3.1 × 107 ) + (5.5 × 105 )
(8.3 × 103 ) × (3 × 10−6 )
24.
26.
22.
(6.8 × 10−3 ) − (8.5 × 10−4 )
(6 × 10−4 ) ÷ (1.5 × 10−6 )
23.
24.
27. At Mercury's closest approach to the Sun it is 46,000,000 kilometers
away. At its farthest distance it is 69,800,000 kilometers away.
25.
26.
a. Write the distance range using scientific notation.
27. a.
See left.
b.
7
b. Is Mercury ever 5.8 × 10 kilometers from the Sun?
28.
28. The image of a dust mite from a scanning electron microscope is
29. a.
1.5 × 10 2 millimeters wide. The image is 5 × 10 2 times life size.
How many millimeters wide is the dust mite?
See left.
b.
29. The eye of a needle is 0.1 centimeter wide, 0.3 centimeter tall, and
c.
0.05 centimeter deep.
a. Write the dimensions in scientific notation.
b. Find the volume of the eye of the needle, assuming it is rectangular.
Write your answer in scientific notation.
c. An artist installs minuscule bits of glass, each of which has a volume
of 0.00003 cubic centimeter. How many pieces could fit in the eye of
the needle?
118 Big Ideas Math Blue
Assessment Book
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All rights reserved.