# College Algebra Tutorial 48

College Algebra
Tutorial 48: Practice Test on Tutorials 42 - 47

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

1a.

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

1b.

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.

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 %.

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.

4b.

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

5a.

5b.

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

6a.

6b.

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

7a.

y (x, y)
-2 (.01, -2)
-1 (.11, -1)
0 (1, 0)
1 (9, 1)
2 (81, 2)

7b.

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.

8b.

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

9a.

9b.

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

10a.

10b.

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

11a.

11b.

11c.

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.

12b.