Name______
Math 2412/PreAPPrecalculus
Final Exam Review
1.(10.2)Find the radius and center of the circle with the following equation:
2.(4.6) Decompose the given expression into partial fractions.
3.(3.7) Identify the horizontal and vertical asymptotes of the following rational function, then graph the function.
4.(6.1) Convert the following angle measures.
a).Convert to radian measure.
b).Convert to degree measure.
5.(6.1) Find the degree measure of the central angle associated with an arc that is
35.3 cm long in a circle with a radius of 15 cm. Round to the nearest tenth if necessary.
6.(12.6) Find the 4th term of the binomial expansion .
7.(6.2) Determine the linear velocity of a point rotating at an angular velocity of radians per second at a distance of 17 inches from the center of the rotating object.
8.(5.6 – 5.8) Solve the following using either the Law of Sines or the Law of Cosines.
a).Use the law of cosines to find b in triangle ABC, if a = 5.47, c = 8.94, and B = 37.2.
b).Use the law of sines to solve the triangle ABC with a = 70, B = 36.65, and
A = 40.
9.(3.3) Solve the absolute value inequality. Express your answer in interval notation.
10.(2.1) Solve the system of equations algebraically.
11.(2.5) Solve the system of equations using an appropriate method.
12.(2.6) Solve the system of linear inequalities by graphing.
13.(2.5) Solve the systems of equations using a matrix equation.
14.(2.3) Let and . Find AB.
15.(11.4) Solve the logarithmic equation.
16.(5.4) The chair lift at a ski resort rises at an angle of 20.75 from the horizontal and attains a vertical height of 1200 feet. How far does the chair lift travel up the side of the mountain?
17.(3.4) Find the inverse of the given function.
18.(3.8) The intensity of light I, measured in lux is inversely proportional to the square of the distance d between the light source and the object illuminated. The intensity of the light from a bulb hanging 6 feet overhead a circular table is 16 lux. If the bulb is raised to a height of 8 feet above the table, what is its intensity?
19.(4.4) Solve the given polynomial equation. Use synthetic division to test the possible rational roots, then state the solution.
20.(7.2) Verify the following trigonometric identity.
21.(6.5) State the amplitude, period, and phase shift of the function:
22.(1.2) Let and .
a).Find
b).Find
23.(Alg. 2 Review) Multiply the complex numbers.
24.(11.6) Solve the exponential equation for x.
25.(10.6) Identify the conic section represented by the equation: