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Algebra 1 Chapter 8 Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Simplify the expression.
____
____
____
____
____
____
____
____
____
1.
a. –1
b. 0
c. –8.6
d. 1
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b. 1
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
2.
3.
4.
5.
6.
7.
8.
9.
____ 10.
____ 11.
____ 12.
____ 13.
____ 14.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
c.
d.
c.
d. –16
____ 15.
____ 16.
____ 17.
____ 18. Evaluate
a. 324
____ 19. Evaluate
a. 16
for x = –3 and y = 2.
b.
1
20
4
1
144
for x = 2 and y = –4.
b. –4
____ 20. Which number is written in scientific notation?
a.
b.
c.
d.
Write the number in scientific notation.
____ 21. 8,670,000,000
a.
b.
c.
d.
____ 22. 0.0805
a.
b.
c.
d.
Write the number in standard notation.
____ 23.
a. 9,000
b.
c. 90,000
d. 360
a. 0.0907
b. 0.907
c. 0.00907
d. –181.4
____ 24.
Simplify the expression. Write the answer using scientific notation.
____ 25.
a.
b.
c. 7.04  1013
d. 1.68  1013
a.
b. 3.9  105
c.
d. 7.1  105
a. 6.3  1064
b. 6.3  1017
c. 1.6  1064
d. 1.6  1017
a.
b.
c.
d.
c.
d. 12
c.
d. 82
____ 26.
____ 27.
____ 28.
Find the common ratio of the sequence.
____ 29. 2, –10, 50, –250, . . .
a. –5
b. –12
____ 30. –164, –82, –41, –20.5, . . .
a. –82
b. 2
____ 31. Find the next three terms of the sequence 3, 9, 27, 81, . . .
a. –243, –729, –2187
c. 81, 243, 729
b. 243, 729, 2187
d. 87, 249, 87
Find the first, fourth, and eighth terms of the sequence.
____ 32.
a. 1; –64; –16,384
b. –4; –32; –512
c. –2; –16; –256
d. –8; –64; –1,024
Evaluate the function rule for the given value.
for x = –5
____ 33.
a. –15
c.
d. –125
1
1
729
243
____ 34. Suppose a population of 250 crickets doubles in size every 6 months. How many crickets will there be after 2
years?
a. 4,000 crickets
c. 2,000 crickets
b. 6,000 crickets
d. 1,000 crickets
b.
Match the table with the function that models the data.
____ 35.
x
y
1
4
2
16
a.
3
64
4
256
b.
c.
Algebra 1 Chapter 8 Review
Answer Section
MULTIPLE CHOICE
1. ANS: D
PTS: 1
DIF: L2
REF: 8-1 Zero and Negative Exponents
OBJ: 8-1.1 Zero and Negative Exponents NAT: ADP J.1.1 | ADP J.1.6
STA: KS KBI 1.1.1 | KS KBI 1.4.2f
TOP: 8-1 Example 1
KEY: zero as an exponent | negative exponent | simplfying a power
2. ANS: D
PTS: 1
DIF: L2
REF: 8-1 Zero and Negative Exponents
OBJ: 8-1.1 Zero and Negative Exponents NAT: ADP J.1.1 | ADP J.1.6
STA: KS KBI 1.1.1 | KS KBI 1.4.2f
TOP: 8-1 Example 1
KEY: zero as an exponent | negative exponent | simplfying a power
3. ANS: C
PTS: 1
DIF: L2
REF: 8-1 Zero and Negative Exponents
OBJ: 8-1.1 Zero and Negative Exponents NAT: ADP J.1.1 | ADP J.1.6
STA: KS KBI 1.1.1 | KS KBI 1.4.2f
TOP: 8-1 Example 2
KEY: zero as an exponent | negative exponent | simplifying an exponential expression
4. ANS: D
PTS: 1
DIF: L2
REF: 8-1 Zero and Negative Exponents
OBJ: 8-1.1 Zero and Negative Exponents NAT: ADP J.1.1 | ADP J.1.6
STA: KS KBI 1.1.1 | KS KBI 1.4.2f
TOP: 8-1 Example 2
KEY: negative exponent | simplifying an exponential expression
5. ANS: D
PTS: 1
DIF: L2
REF: 8-3 Mulitplication Properties of Exponents
OBJ: 8-3.1 Multiplying Powers
NAT: ADP I.1.5 | ADP J.1.1
STA: KS KBI 1.4.2f
TOP: 8-3 Example 1
KEY: multiplying powers with the same base | exponential expression | simplifying an exponential
expression
6. ANS: C
PTS: 1
DIF: L2
REF: 8-3 Mulitplication Properties of Exponents
OBJ: 8-3.1 Multiplying Powers
NAT: ADP I.1.5 | ADP J.1.1
STA: KS KBI 1.4.2f
TOP: 8-3 Example 2
KEY: exponential expression | simplifying an exponential expression | multiplying powers with the same
base
7. ANS: A
PTS: 1
DIF: L2
REF: 8-3 Mulitplication Properties of Exponents
OBJ: 8-3.1 Multiplying Powers
NAT: ADP I.1.5 | ADP J.1.1
STA: KS KBI 1.4.2f
TOP: 8-3 Example 2
KEY: exponential expression | simplifying an exponential expression | multiplying powers with the same
base
8. ANS: C
PTS: 1
DIF: L4
REF: 8-3 Mulitplication Properties of Exponents
OBJ: 8-3.1 Multiplying Powers
NAT: ADP I.1.5 | ADP J.1.1
STA: KS KBI 1.4.2f
TOP: 8-3 Example 2
KEY: exponential expression | multiplying powers with the same base | simplifying an exponential
expression
9. ANS: C
PTS: 1
DIF: L2
REF: 8-4 More Multiplication Properties of Exponents
OBJ: 8-4.1 Raising a Power to a Power
NAT: ADP I.1.5 | ADP J.1.1
STA: KS KBI 1.4.2f
TOP: 8-4 Example 1
KEY: raising a power to a power | exponential expression | simplifying an exponential expression
10. ANS: C
PTS: 1
DIF: L2
REF: 8-4 More Multiplication Properties of Exponents
OBJ: 8-4.1 Raising a Power to a Power
NAT: ADP I.1.5 | ADP J.1.1
STA: KS KBI 1.4.2f
TOP: 8-4 Example 2
KEY: exponential expression | simplifying an exponential expression | simplifying an expression with
powers
11. ANS: A
PTS: 1
DIF: L2
REF: 8-4 More Multiplication Properties of Exponents
OBJ: 8-4.2 Raising a Product to a Power
NAT: ADP I.1.5 | ADP J.1.1
STA: KS KBI 1.4.2f
TOP: 8-4 Example 3
KEY: raising a product to a power | exponential expression | simplifying an exponential expression
12. ANS: A
PTS: 1
DIF: L2
REF: 8-4 More Multiplication Properties of Exponents
OBJ: 8-4.2 Raising a Product to a Power
NAT: ADP I.1.5 | ADP J.1.1
STA: KS KBI 1.4.2f
TOP: 8-4 Example 4
KEY: raising a product to a power | exponential expression | simplifying an exponential expression
13. ANS: D
PTS: 1
DIF: L2
REF: 8-5 Division Properties of Exponents
OBJ: 8-5.1 Dividing Powers With the Same Base
NAT: ADP I.1.5 | ADP I.2.2 | ADP J.1.1
STA: KS KBI 1.4.2f
TOP: 8-5 Example 1
KEY: dividing powers with the same base | exponential expression
14. ANS: D
PTS: 1
DIF: L2
REF: 8-5 Division Properties of Exponents
OBJ: 8-5.1 Dividing Powers With the Same Base
NAT: ADP I.1.5 | ADP I.2.2 | ADP J.1.1
STA: KS KBI 1.4.2f
TOP: 8-5 Example 1
KEY: dividing powers with the same base | exponential expression
15. ANS: C
PTS: 1
DIF: L2
REF: 8-5 Division Properties of Exponents
OBJ: 8-5.1 Dividing Powers With the Same Base
NAT: ADP I.1.5 | ADP I.2.2 | ADP J.1.1
STA: KS KBI 1.4.2f
TOP: 8-5 Example 1
KEY: dividing powers with the same base | exponential expression
16. ANS: A
PTS: 1
DIF: L2
REF: 8-5 Division Properties of Exponents
OBJ: 8-5.2 Raising a Quotient to a Power
NAT: ADP I.1.5 | ADP I.2.2 | ADP J.1.1 STA: KS KBI 1.4.2f
TOP: 8-5 Example 3
KEY: raising a quotient to a power | exponential expression
17. ANS: B
PTS: 1
DIF: L3
REF: 8-5 Division Properties of Exponents
OBJ: 8-5.2 Raising a Quotient to a Power
NAT: ADP I.1.5 | ADP I.2.2 | ADP J.1.1 STA: KS KBI 1.4.2f
TOP: 8-5 Example 4
KEY: raising a quotient to a power | simplifying an exponential expression | exponential expression
18. ANS: B
PTS: 1
DIF: L2
REF: 8-1 Zero and Negative Exponents
OBJ: 8-1.2 Evaluating Exponential Expressions
NAT: ADP J.1.1 | ADP J.1.6
STA: KS KBI 1.1.1 | KS KBI 1.4.2f
TOP: 8-1 Example 3
KEY: negative exponent | simplifying an exponential expression | evaluating exponential expression
19. ANS: C
PTS: 1
DIF: L3
REF: 8-1 Zero and Negative Exponents
OBJ: 8-1.2 Evaluating Exponential Expressions
NAT: ADP J.1.1 | ADP J.1.6
STA: KS KBI 1.1.1 | KS KBI 1.4.2f
TOP: 8-1 Example 3
KEY: negative exponent | simplifying an exponential expression | evaluating exponential expression
20. ANS: A
PTS: 1
DIF: L2
REF: 8-2 Scientific Notation
21.
22.
23.
24.
25.
26.
27.
28.
29.
OBJ: 8-2.1 Writing Numbers in Scientific and Standard Notations
NAT: NAEP 2005 N1d | NAEP 2005 N1f | ADP I.1.5 | ADP I.2.2
STA: KS KBI 1.1.1
TOP: 8-2 Example 1
KEY: scientific notation
ANS: C
PTS: 1
DIF: L2
REF: 8-2 Scientific Notation
OBJ: 8-2.1 Writing Numbers in Scientific and Standard Notations
NAT: NAEP 2005 N1d | NAEP 2005 N1f | ADP I.1.5 | ADP I.2.2
STA: KS KBI 1.1.1
TOP: 8-2 Example 2
KEY: scientific notation
ANS: D
PTS: 1
DIF: L2
REF: 8-2 Scientific Notation
OBJ: 8-2.1 Writing Numbers in Scientific and Standard Notations
NAT: NAEP 2005 N1d | NAEP 2005 N1f | ADP I.1.5 | ADP I.2.2
STA: KS KBI 1.1.1
TOP: 8-2 Example 2
KEY: scientific notation
ANS: C
PTS: 1
DIF: L2
REF: 8-2 Scientific Notation
OBJ: 8-2.1 Writing Numbers in Scientific and Standard Notations
NAT: NAEP 2005 N1d | NAEP 2005 N1f | ADP I.1.5 | ADP I.2.2
STA: KS KBI 1.1.1
TOP: 8-2 Example 3
KEY: scientific notation | standard notation
ANS: A
PTS: 1
DIF: L2
REF: 8-2 Scientific Notation
OBJ: 8-2.1 Writing Numbers in Scientific and Standard Notations
NAT: NAEP 2005 N1d | NAEP 2005 N1f | ADP I.1.5 | ADP I.2.2
STA: KS KBI 1.1.1
TOP: 8-2 Example 3
KEY: scientific notation | standard notation
ANS: C
PTS: 1
DIF: L2
REF: 8-2 Scientific Notation
OBJ: 8-2.2 Using Scientific Notation
NAT: NAEP 2005 N1d | NAEP 2005 N1f | ADP I.1.5 | ADP I.2.2
STA: KS KBI 1.1.1
TOP: 8-2 Example 6
KEY: scientific notation | multiply a number using scientific notation
ANS: B
PTS: 1
DIF: L2
REF: 8-2 Scientific Notation
OBJ: 8-2.2 Using Scientific Notation
NAT: NAEP 2005 N1d | NAEP 2005 N1f | ADP I.1.5 | ADP I.2.2
STA: KS KBI 1.1.1
TOP: 8-2 Example 6
KEY: scientific notation | multiply a number using scientific notation
ANS: B
PTS: 1
DIF: L2
REF: 8-3 Mulitplication Properties of Exponents
OBJ: 8-3.2 Working With Scientific Notation
NAT: ADP I.1.5 | ADP J.1.1
STA: KS KBI 1.4.2f
TOP: 8-3 Example 3
KEY: multiply a number using scientific notation | scientific notation | multiplying powers with the same
base | exponential expression
ANS: A
PTS: 1
DIF: L3
REF: 8-3 Mulitplication Properties of Exponents
OBJ: 8-3.2 Working With Scientific Notation
NAT: ADP I.1.5 | ADP J.1.1
STA: KS KBI 1.4.2f
TOP: 8-3 Example 3
KEY: multiply a number using scientific notation | scientific notation | multiplying powers with the same
base | exponential expression
ANS: A
PTS: 1
DIF: L2
REF: 8-6 Geometric Sequences
OBJ: 8-6.1 Geometric Sequences
NAT: NAEP 2005 A1a | NAEP 2005 A1i | ADP I.1.2
STA: KS KBI 2.1.1a | KS KBI 2.1.4b | KS AI 2.1.2 | KS KBI 2.1.2 | KS KBI 2.1.3 | KS KBI 2.4.1c | KS AI
2.4.1b TOP:
8-6 Example 1
KEY: geometric sequence | common ratio
30. ANS:
OBJ:
STA:
2.4.1b
31. ANS:
OBJ:
STA:
2.4.1b
32. ANS:
OBJ:
STA:
2.4.1b
33. ANS:
OBJ:
NAT:
STA:
TOP:
34. ANS:
OBJ:
NAT:
STA:
TOP:
KEY:
35. ANS:
OBJ:
NAT:
STA:
TOP:
C
PTS: 1
DIF: L2
REF: 8-6 Geometric Sequences
8-6.1 Geometric Sequences
NAT: NAEP 2005 A1a | NAEP 2005 A1i | ADP I.1.2
KS KBI 2.1.1a | KS KBI 2.1.4b | KS AI 2.1.2 | KS KBI 2.1.2 | KS KBI 2.1.3 | KS KBI 2.4.1c | KS AI
TOP:
8-6 Example 1
KEY: geometric sequence | common ratio
B
PTS: 1
DIF: L2
REF: 8-6 Geometric Sequences
8-6.1 Geometric Sequences
NAT: NAEP 2005 A1a | NAEP 2005 A1i | ADP I.1.2
KS KBI 2.1.1a | KS KBI 2.1.4b | KS AI 2.1.2 | KS KBI 2.1.2 | KS KBI 2.1.3 | KS KBI 2.4.1c | KS AI
TOP:
8-6 Example 2
KEY: geometric sequence | common ratio
C
PTS: 1
DIF: L2
REF: 8-6 Geometric Sequences
8-6.2 Using a Formula
NAT: NAEP 2005 A1a | NAEP 2005 A1i | ADP I.1.2
KS KBI 2.1.1a | KS KBI 2.1.4b | KS AI 2.1.2 | KS KBI 2.1.2 | KS KBI 2.1.3 | KS KBI 2.4.1c | KS AI
TOP:
8-6 Example 4
KEY: geometric sequence | common ratio | formula
C
PTS: 1
DIF: L2
REF: 8-7 Exponential Functions
8-7.1 Evaluating Exponential Functions
NAEP 2005 A1e | ADP J.2.3 | ADP J.4.7 | ADP J.5.4
KS AI 1.4.1e | KS KBI 2.3.8 | KS KBI 2.4.1e | KS AI 2.4.1d
8-7 Example 1
KEY: exponential function | function
A
PTS: 1
DIF: L3
REF: 8-7 Exponential Functions
8-7.1 Evaluating Exponential Functions
NAEP 2005 A1e | ADP J.2.3 | ADP J.4.7 | ADP J.5.4
KS AI 1.4.1e | KS KBI 2.3.8 | KS KBI 2.4.1e | KS AI 2.4.1d
8-7 Example 2
exponential function | function | problem solving | word problem
C
PTS: 1
DIF: L2
REF: 8-7 Exponential Functions
8-7.2 Graphing Exponential Functions
NAEP 2005 A1e | ADP J.2.3 | ADP J.4.7 | ADP J.5.4
KS AI 1.4.1e | KS KBI 2.3.8 | KS KBI 2.4.1e | KS AI 2.4.1d
8-7 Example 3
KEY: exponential function | graphing
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