ANSWER: Mid-Chapter Quiz
Simplify each expression.
3
7. 5
1. (x )(4x )
ANSWER: 4x
ANSWER: 8
2 5 3
2. (m p )
8. ANSWER: 6 15
mp
ANSWER: 4
3 2 3
mn
3. [(2xy ) ]
ANSWER: 9. 6 18
64x y
3 4
2 3
ANSWER: 4. (6ab c )( −3a b c)
ANSWER: 3 6 5
−18a b c
5. MULTIPLE CHOICE Express the volume of the
solid as a monomial.
10. ASTRONOMY Physicists estimate that the
number of stars in the universe has an order of
21
magnitude of 10 . The number of stars in the Milky
Way galaxy is around 100 billion. Using orders of
magnitude, how many times as many stars are there
in the universe as the Milky Way?
ANSWER: 9
A 6x
B 8x9
10
10
24
C 8x
D 7x24
ANSWER: B
Write each expression in radical form, or write
each radical in exponential form.
11. ANSWER: Simplify each expression. Assume that no
denominator equals 0.
6. 12. ANSWER: ANSWER: 13. ANSWER: 7. ANSWER: eSolutions Manual - Powered by Cognero
14. Page 1
ANSWER: 13. 22. ANSWER: Mid-Chapter
Quiz
14. ANSWER: 125
23. ANSWER: 15. ANSWER: 7776
24. ANSWER: ANSWER: Solve each equation.
16. ANSWER: 25. ANSWER: 6
Simplify.
26. 17. ANSWER: 1
ANSWER: 9
27. 18. ANSWER: 5
19. ANSWER: 6.5
Express each number in scientific notation.
28. 0.00000054
ANSWER: ANSWER: 11
−7
5.4 × 10
29. 0.0042
ANSWER: 20. −3
ANSWER: 4.2 × 10
30. 234,000
ANSWER: 21. 2.34 × 10
ANSWER: 4
5
31. 418,000,000
ANSWER: 4.18 × 10
22. ANSWER: 125
23. eSolutions
Manual - Powered by Cognero
ANSWER: 7776
8
Express each number in standard form.
−3
32. 4.1 × 10
ANSWER: 0.0041
5
Page 2
39. 31. 418,000,000
ANSWER: Mid-Chapter Quiz
8
4.18 × 10
ANSWER: 8
3.3 × 10
Express each number in standard form.
−3
32. 4.1 × 10
ANSWER: 0.0041
33. 2.74 × 10
5
40. MAMMALS A blue whale has been caught that
5
was 4.2 × 10 pounds. The smallest mammal is a
bumblebee bat, which is about 0.0044 pound. a. Write the whale’s weight in standard form.
b. Write the bat’s weight in scientific notation.
c. How many orders of magnitude as big is a blue
whale as a bumblebee bat?
ANSWER: a. 420,000 pounds
–3
b. 4.4 × 10 pounds
c. 108
ANSWER: 274,000
9
34. 3 × 10
ANSWER: 3,000,000,000
−5
35. 9.1 × 10
ANSWER: 0.000091
Evaluate each product or quotient. Express the
results in scientific notation.
2
5
36. (2.13 × 10 )(3 × 10 )
ANSWER: 6.39 × 10
7
−2
6
37. (7.5 × 10 )(2.5 × 10 )
ANSWER: 1.875 × 10
5
38. ANSWER: 4
3 × 10
39. ANSWER: 8
3.3 × 10
40. MAMMALS A blue whale has been caught that
5
was 4.2 × 10 pounds. The smallest mammal is a
bumblebee bat, which is about 0.0044 pound. a. Write the whale’s weight in standard form.
b. Write the bat’s weight in scientific notation.
c. How
eSolutions
Manual
- Powered
many
ordersbyofCognero
magnitude as big is a blue
whale as a bumblebee bat?
ANSWER: Page 3