Algebra 2 Chapter 7 Review - Clinton Public School District
Algebra 2 Chapter 7 Review
True/False
Indicate whether the statement is true or false.
____ 1. e[pic] is a decay function
Multiple Choice
Identify the choice that best completes the statement or answers the question.
State the property or properties of logarithms used to rewrite the expression.
____ 2. [pic]
|a. |Commutative Property |c. |Quotient Property |
|b. |Product Property |d. |Power Property |
____ 3. [pic]
|a. |Quotient Property |c. |Difference Property |
|b. |Product Property |d. |Power Property |
____ 4. [pic]
|a. |Quotient Property |c. |Addition Property |
|b. |Power Property |d. |Product Property |
____ 5. [pic]
|a. |Power Property and Product Property |
|b. |Quotient Property and Product Property |
|c. |Quotient Property only |
|d. |Power Property only |
Write the expression as a single logarithm.
____ 6. [pic]
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |[pic] |
____ 7. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 8. [pic]
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |none of these |
Expand the logarithmic expression.
____ 9. [pic]
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |[pic] |
____ 10. [pic]
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |[pic] |
____ 11. Use the properties of logarithms to evaluate [pic].
|a. |2 |b. |4 |c. |8 |d. |41 |
____ 12. Solve [pic]. Round to the nearest ten-thousandth.
|a. |0.6616 |b. |2.6466 |c. |1.7509 |d. |1.9091 |
____ 13. Use the Change of Base Formula to solve [pic]. Round to the nearest ten-thousandth.
|a. |7.6133 |b. |9.3658 |c. |3.2459 |d. |12.9837 |
____ 14. Solve [pic].
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 15. Solve [pic].
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
Write the expression as a single natural logarithm.
____ 16. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 17. [pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 18. Solve [pic]. Round to the nearest thousandth.
|a. |1,489.979 |b. |2,979.958 |c. |2,981.458 |d. |1,490.979 |
____ 19. Solve [pic]. Round to the nearest thousandth.
|a. |154.413 |b. |30.883 |c. |147.213 |d. |28.483 |
Use natural logarithms to solve the equation. Round to the nearest thousandth.
____ 20. [pic]
|a. |–0.448 |b. |0.327 |c. |0.067 |d. |–0.046 |
____ 21. [pic]
|a. |–3.940 |b. |1.228 |c. |0.451 |d. |0.805 |
Algebra 2 Chapter 7 Review
Answer Section
TRUE/FALSE
1. ANS: F PTS: 1
MULTIPLE CHOICE
2. ANS: D PTS: 1 DIF: L4 REF: 8-4 Properties of Logarithms
OBJ: 8-4.1 Using the Properties of Logarithms STA: MS AII 6d
TOP: 8-4 Example 1 KEY: properties of logarithms | Power Property of Logarithms
3. ANS: A PTS: 1 DIF: L3 REF: 8-4 Properties of Logarithms
OBJ: 8-4.1 Using the Properties of Logarithms STA: MS AII 6d
TOP: 8-4 Example 1
KEY: properties of logarithms | Quotient Property of Logarithms
4. ANS: D PTS: 1 DIF: L3 REF: 8-4 Properties of Logarithms
OBJ: 8-4.1 Using the Properties of Logarithms STA: MS AII 6d
TOP: 8-4 Example 1 KEY: properties of logarithms | Product Property of Logarithms
5. ANS: A PTS: 1 DIF: L3 REF: 8-4 Properties of Logarithms
OBJ: 8-4.1 Using the Properties of Logarithms STA: MS AII 6d
TOP: 8-4 Example 1 KEY: properties of logarithms
6. ANS: A PTS: 1 DIF: L4 REF: 8-4 Properties of Logarithms
OBJ: 8-4.1 Using the Properties of Logarithms STA: MS AII 6d
TOP: 8-4 Example 2
KEY: properties of logarithms | logarithm | Product Property of Logarithms | Power Property of Logarithms
7. ANS: A PTS: 1 DIF: L3 REF: 8-4 Properties of Logarithms
OBJ: 8-4.1 Using the Properties of Logarithms STA: MS AII 6d
TOP: 8-4 Example 2
KEY: properties of logarithms | simplifying a logarithm | Quotient Property of Logarithms
8. ANS: D PTS: 1 DIF: L3 REF: 8-4 Properties of Logarithms
OBJ: 8-4.1 Using the Properties of Logarithms STA: MS AII 6d
TOP: 8-4 Example 2 KEY: properties of logarithms | simplifying a logarithm
9. ANS: A PTS: 1 DIF: L3 REF: 8-4 Properties of Logarithms
OBJ: 8-4.1 Using the Properties of Logarithms STA: MS AII 6d
TOP: 8-4 Example 3
KEY: properties of logarithms | expanding logarithms | Quotient Property of Logarithms
10. ANS: C PTS: 1 DIF: L3 REF: 8-4 Properties of Logarithms
OBJ: 8-4.1 Using the Properties of Logarithms STA: MS AII 6d
TOP: 8-4 Example 3
KEY: properties of logarithms | expanding logarithms | Product Property of Logarithms | Power Property of Logarithms
11. ANS: B PTS: 1 DIF: L4 REF: 8-4 Properties of Logarithms
OBJ: 8-4.1 Using the Properties of Logarithms STA: MS AII 6d
TOP: 8-4 Example 5
KEY: properties of logarithms | evaluating logarithms | Quotient Property of Logarithms
12. ANS: A PTS: 1 DIF: L3
REF: 8-5 Exponential and Logarithmic Equations
OBJ: 8-5.1 Solving Exponential Equations STA: MS AII 6c | MS AII 6d
TOP: 8-5 Example 1 KEY: exponential equation
13. ANS: C PTS: 1 DIF: L3
REF: 8-5 Exponential and Logarithmic Equations
OBJ: 8-5.2 Solving Logarithmic Equations STA: MS AII 6c | MS AII 6d
TOP: 8-5 Example 5 KEY: exponential equation | Change of Base Formula
14. ANS: B PTS: 1 DIF: L3
REF: 8-5 Exponential and Logarithmic Equations
OBJ: 8-5.2 Solving Logarithmic Equations STA: MS AII 6c | MS AII 6d
TOP: 8-5 Example 6 KEY: logarithmic equation | properties of logarithms
15. ANS: B PTS: 1 DIF: L3
REF: 8-5 Exponential and Logarithmic Equations
OBJ: 8-5.2 Solving Logarithmic Equations STA: MS AII 6c | MS AII 6d
TOP: 8-5 Example 6 KEY: logarithmic equation | properties of logarithms
16. ANS: D PTS: 1 DIF: L3 REF: 8-6 Natural Logarithms
OBJ: 8-6.1 Natural Logarithms TOP: 8-6 Example 1
KEY: simplifying a natural logarithm | properties of logarithms
17. ANS: A PTS: 1 DIF: L3 REF: 8-6 Natural Logarithms
OBJ: 8-6.1 Natural Logarithms TOP: 8-6 Example 1
KEY: simplifying a natural logarithm | properties of logarithms
18. ANS: D PTS: 1 DIF: L3 REF: 8-6 Natural Logarithms
OBJ: 8-6.2 Natural Logarithmic and Exponential Equations TOP: 8-6 Example 3
KEY: natural logarithmic equation | properties of logarithms
19. ANS: D PTS: 1 DIF: L3 REF: 8-6 Natural Logarithms
OBJ: 8-6.2 Natural Logarithmic and Exponential Equations TOP: 8-6 Example 3
KEY: natural logarithmic equation | properties of logarithms
20. ANS: D PTS: 1 DIF: L4 REF: 8-6 Natural Logarithms
OBJ: 8-6.2 Natural Logarithmic and Exponential Equations TOP: 8-6 Example 4
KEY: exponential equation | properties of logarithms
21. ANS: D PTS: 1 DIF: L4 REF: 8-6 Natural Logarithms
OBJ: 8-6.2 Natural Logarithmic and Exponential Equations TOP: 8-6 Example 4
KEY: exponential equation | properties of logarithms
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