Honors Precalculus Final Exam Review Questions/ Big Picture:
Chapter 3: Exponential and Logarithmic Functions
- Compounding continuously vs. discretely: p. 272: 109, p.225: 59-68
- Condense, Expand Logarithms: p. 271: 69-80
- Decay question: like question 5 on test
- Financing question – savings overall? – with different options: like question 4 on
test
- Graphing basics: p.270: 49-52, p.271: 55-58
- Word problem: p.253: 131-133
Chapter 8: Matrices and Determinants
- Determinant of a Square Matrix (with variables; not all numeric – verifies that
you know how to handle this even without a calculator) – Section 8.4, Chapter 8
Test
- Inverting a Matrix (with variables; not all numeric – verifies that you know how
to handle this even without a calculator) – Section 8.3, Chapter 8 Test
- Triangle Area Application: p. 625: 31-36
Chapter 9: Sequences, Series, and Probability
- Binomial Expansion: p.686: 45-52
- Counting: p.697-698: 39-42, 61-72
- Infinite Series: p.668: 93-98
- Probability: p.707: 31-34, p. 709-710: 49-67,
- Sequence Basics: p. 717: 4, 5
Chapter 10: Analytic Geometry
- Conic Sections - Basics: p. 800: 27-30, 35-38, p. 801: 41-44, p.800-801: 21-24,
31-34
- Convert Rectangular Coordinate to Polar Coordinate: p.802: 73-76 – provide one
positive r and one negative r
- Eccentricity (of conic sections): Ellipses: p. 800: 27-30; be prepared for
hyperbola-related questions as well
- Graph Conic Section: p.800-801: 29,30,37,38 and worksheets given in class on
graphing parabolas, hyperbolas, and ellipses (all on blog)
- Hyperbolas: p. 801: 31-38
- Equations: p.802: 77-82, p. 802: 83-88
Chapter 11: Three-Dimensional Analytic Geometry
- Angles between vectors: p. 842: 35, 36
- Equation of a plane: p.843: 63-66
- Spheres: p.813 example 5, p.816: 61-70 - Complete the square to answer these
questions.
- Vectors in 3D: p.822: 15-18, 39-46