Math 121       Study Guide for Hour Quiz #3         C.S.Davis

You are responsible for the subject matter in the three chapters and sections below. The following topics are the most important. Typical exercises from Basic Technical Mathematics with Calculus, 7th ed, by Allyn J. Washington are assigned at the end of each objective. Work additional exercises if you need more practice. The answers to the odd numbered problems are in the back of the text.  These exercises are for practice and are not graded.  The problem sets found on the Algebra&Trig Welcome Page are graded in class.  See the Semester Plan for the current dates for the grading of the problem sets and taking of the hour quizzes.
7.1          Quadratic Equations: Solutions by Factoring
1. Solve a quadratic equation by factoring.   P206#9,13,21
7.2          Completing the Square
1. Solve a quadratic equation by completing the square.   P209#13,23
7.3          The Quadratic Formula
1. Solve a quadratic equation using the quadratic formula.   P213#1,23
2. Solve a word problem involving the quadratic formula.   P213#41
7.4          The Graph of a Quadratic Function
1. Draw the graph of a quadratic function using only the vertex and y-intercept.   P217#1,5
2. Find the vertex and all intercepts and graph a quadratic function.   P217#9,11
3. Solve a quadratic equation using a graphing calculator.   P217#17,19
8.1          Sign of a Trigonometric Function
1. Determine the signs of a trig functions of angles in various quadrants.   P223#3
2. Find the six trig functions given a point on the terminal side.   P223#15
3. Determine which quadrant an angle lies in given the sign of its trig functions.   P223#21,23,25
8.2         Trigonometric Functions of any Angle
1. Find several angles for a given value of a trig function.   P229#19,21,23,25,27,31
8.3          Radians
1. Convert angles between radian and degree measure.   P234#5,11,29
2. Evaluate trig functions of radian measure.   P234#43,55
8.4          Applications of Radian Measure
1. Find the arc length, angle, radius or area of a circular sector when two others are given.   P238#1,3,5,7
2. Solve a word problem involving the above.   P238#13,19
3. Solve a word problem involving angular velocity.   P238#21
9.1          Introduction to Vectors
1. Graphically find the vector sum (resultant) and vector difference.   P248#5-23 odd
2. Graphically solve a word problem involving vectors.   P248#29,33
9.2          Components of Vectors
1. Resolve a vector into its x- and y-components.   P251#1,7
2. Solve a word problem involving x- and y-components of a vector.   P251#19
9.3          Vector Addition by Components
1. Given x- and y-components, find the magnitude and angle of the resultant vector.   P256#5,7
2. Given the magnitudes and angles of two vectors, add them.   P256#13,15
9.4          Application of Vectors
1. Solve a word problem involving vectors.   P259#1
9.5          Law of Sines
1. Solve a triangle using the Law of Sines.   P266#1,15,21
2. Solve a word problem using the Law of Since.   P267#21
9.6          Law of Cosines
1. Solve a triangle using the Law of Cosines.   P271#1,5
2. Solve a word problem using the Law of Cosines.   P271#23