Algebra 1 Chapter 8 Review - Tracy Kutscher's Weblog
Algebra 1 Chapter 8 Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Simplify the expression.
____ 1. [pic]
|a. |–1 |b. |0 |c. |–8.6 |d. |1 |
____ 2. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 3. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 4. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 5. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 6. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 7. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 8. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 9. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 10. [pic]
|a. |[pic] |b. |1 |c. |[pic] |d. |[pic] |
____ 11. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 12. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 13. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 14. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 15. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 16. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 17. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 18. Evaluate [pic] for x = –3 and y = 2.
|a. |324 |b. |[pic] |c. |[pic] |d. |[pic] |
____ 19. Evaluate [pic] for x = 2 and y = –4.
|a. |16 |b. |–4 |c. |[pic] |d. |–16 |
____ 20. Which number is written in scientific notation?
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
Write the number in scientific notation.
____ 21. 8,670,000,000
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 22. 0.0805
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
Write the number in standard notation.
____ 23. [pic]
|a. |9,000 |b. |[pic] |c. |90,000 |d. |360 |
____ 24. [pic]
|a. |0.0907 |b. |0.907 |c. |0.00907 |d. |–181.4 |
Simplify the expression. Write the answer using scientific notation.
____ 25. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 26. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 27. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 28. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
Find the common ratio of the sequence.
____ 29. 2, –10, 50, –250, . . .
|a. |–5 |b. |–12 |c. |[pic] |d. |12 |
____ 30. –164, –82, –41, –20.5, . . .
|a. |–82 |b. |2 |c. |[pic] |d. |82 |
____ 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. [pic]
|a. |1; –64; –16,384 |c. |–2; –16; –256 |
|b. |–4; –32; –512 |d. |–8; –64; –1,024 |
Evaluate the function rule for the given value.
____ 33. [pic] for x = –5
|a. |–15 |b. |[pic] |c. |[pic] |d. |–125 |
____ 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 |
Match the table with the function that models the data.
____ 35.
|x |y |
|1 |4 |
|2 |16 |
|3 |64 |
|4 |256 |
|a. |[pic] |b. |[pic] |c. |[pic] |
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
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
21. 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
22. 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
23. 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
24. 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
25. 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
26. 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
27. 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
28. 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
29. 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: C 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
31. ANS: B 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 2 KEY: geometric sequence | common ratio
32. ANS: C PTS: 1 DIF: L2 REF: 8-6 Geometric Sequences
OBJ: 8-6.2 Using a Formula 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 4 KEY: geometric sequence | common ratio | formula
33. ANS: C PTS: 1 DIF: L2 REF: 8-7 Exponential Functions
OBJ: 8-7.1 Evaluating Exponential Functions
NAT: NAEP 2005 A1e | ADP J.2.3 | ADP J.4.7 | ADP J.5.4
STA: KS AI 1.4.1e | KS KBI 2.3.8 | KS KBI 2.4.1e | KS AI 2.4.1d
TOP: 8-7 Example 1 KEY: exponential function | function
34. ANS: A PTS: 1 DIF: L3 REF: 8-7 Exponential Functions
OBJ: 8-7.1 Evaluating Exponential Functions
NAT: NAEP 2005 A1e | ADP J.2.3 | ADP J.4.7 | ADP J.5.4
STA: KS AI 1.4.1e | KS KBI 2.3.8 | KS KBI 2.4.1e | KS AI 2.4.1d
TOP: 8-7 Example 2
KEY: exponential function | function | problem solving | word problem
35. ANS: C PTS: 1 DIF: L2 REF: 8-7 Exponential Functions
OBJ: 8-7.2 Graphing Exponential Functions
NAT: NAEP 2005 A1e | ADP J.2.3 | ADP J.4.7 | ADP J.5.4
STA: KS AI 1.4.1e | KS KBI 2.3.8 | KS KBI 2.4.1e | KS AI 2.4.1d
TOP: 8-7 Example 3 KEY: exponential function | graphing
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