Algebra 2 Final Exam Study Guide

The fish population of Lake Collins is decreasing at a rate of 2% per year. In 2002 there were about 1,150 fish. Write an exponential decay function to model this situation.

What is the area of the triangle with vertices (4, -4), (5, -4), and (1, 7)?

• 8.5

• 5.5

• 9.5

• 6.5

• 2, 5, 0

• 2, -5

• 2, -2, 5, -5

• no solution

• 0.472

• 0.867

• 1.307

• -4.866

Find the length of s to the nearest tenth.

• 45.2 m

• 7.2 m

• 22.6 m

• 5.7 m

To find the distance across a river, a surveyor chooses points A and B, which are 197 ft apart on one side of the river. She then chooses a reference point (C) on the opposite side of the river and finds that ∠A = 47° and ∠B = 70°. Approximate the distance from B to C.

• 208 ft

• 162 ft

• 153 ft

• 253 ft

Find the zeros of g(x) = 4x² - x + 2 by using the Quadratic Formula.

• x = 1/8 ± (√31/8)i

• x = 1/2 ± (√31/2)i

• x = 1/2 ± (√81/2)i

• x = 1/8 ± (√33/8)i

Suppose you invest $500 at an annual interest rate of 5.9% compounded continuously. How much will you have in the account after 5 years?

• $2,651.94

• $400.95

• $4,509.97

• $671.56

• 9 zebra fish, 5 neon tetras

• 10 zebra fish, 4 neon tetras

• 4 zebra fish, 10 neon tetras

• 5 zebra fish, 9 neon tetras

Solve log(4x + 6) = 0.

• 5/4

• -5

• 3/2

• 1/4