Title  College Algebra
Answer/Discussion to Practice Problems
Tutorial 48: Practice Test on Tutorials 42 - 47

 Problems 1a - 1b: Graph the following functions.

1a.  Answer:

 x (x, y) -2 (-2, .03) -1 (-1, .17) 0 (0, 1) 1 (1, 6) 2 (2, 36) 1b.  Answer:

 x (x, y) -2 (-2, -36) -1 (-1, -6) 0 (0, -1) 1 (1, -.17) 2 (2, -.03) Problem 2a:   Find the 1) compound amount AND 2) the compound interest for the given investment and rate.

2a. \$25000 for 21 years at an annual rate of 3.25% compounded quarterly. Answer: P = 25000 r = 3.25% = .0325 t = 21 n = quarterly = 4 times a year Compound Amount: \$49334.23 Compound Interest: \$24334.23

 Problem 3a: Find the accumulated value for the given investment and  rate.

3a. \$4525 that is compounded continuously for 12 years at an interest rate of 9 ½ %. Answer: P = 4525 r = 9.5% = .095  t = 12 So the accumulated or compound AMOUNT would be \$14148.63.

 Problems 4a - 4b: Express the given logarithmic equation exponentially.

4a.  Answer: 4b.  Answer: Problems 5a - 5b:  Express the given exponential equation in a logarithmic form.

5a.  Answer: 5b.  Answer: Problems 6a - 6b:   Evaluate the given log function without using a calculator.

6a.  Answer: 6b.  Answer: Problems 7a - 7b: Graph the following functions.

7a.  Answer: y (x, y) -2 (.01, -2) -1 (.11, -1) 0 (1, 0) 1 (9, 1) 2 (81, 2) 7b.  Answer: y (x, y) -2 (2.001, -2) -1 (2.012, -1) 0 (2.11, 0) 1 (3, 1) 2 (11, 2) Problems 8a - 8b:   Evaluate the given expression without the use of a calculator.

8a.  Answer: 8b.  Answer: Problems 9a - 9b:  Expand each logarithmic expression as much as possible.  Evaluate without a calculator where possible.

9a.  Answer: 9b.  Answer: Problems 10a - 10b:  Condense each logarithmic expression into one  logarithmic expression.  Evaluate without a calculator  where possible.

10a.  Answer: 10b.  Answer: Problems 11a - 11c:    Solve the given exponential equation.  Round your answer to two decimal places.

11a.  Answer: 11b.  Answer: 11c.  Answer: Since e raised to a power cannot equal a negative number, there is only one solution, x is approx 1.61.

 Problems 12a - 12b:   Solve the logarithmic equation.  Round your answer to two decimal places.

12a.  Answer: 12b.  Answer: x = 2 is the only solution.

Last revised on March 25, 2011 by Kim Seward.
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