College Algebra MATH 107 Spring 2018 Alt 1 Final Exam

College Algebra MATH 107 Spring, 2018, Alt1 MATH 107 FINAL EXAMINATION

This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Record your answers and work on the separate answer sheet provided.

There are 30 problems. Problems #1–12 are Multiple Choice. Problems #13–21 are Short Answer without work required. Problems #22–30 are Short Answer with work required to be shown.

Paper For Above instruction

In this examination, students are required to demonstrate their understanding of foundational concepts in college algebra, including functions, equations, inequalities, graphing, and application problems. The exam assesses skills in algebraic manipulation, solving equations and inequalities, analyzing functions graphically, and applying mathematical models to real-world contexts.

The first section includes multiple-choice questions designed to evaluate basic comprehension of functions, domain and range, symmetry, and transformations. The subsequent short-answer questions test students' ability to perform algebraic operations, solve equations analytically, interpret graphs, and solve application-based problems involving exponential and logarithmic functions, quadratic functions, and geometric calculations.

Particularly, students must manipulate complex numbers, interpret logarithmic expressions, analyze quadratic and polynomial functions, work with rational functions and asymptotes, and understand composite functions and inverse functions. Furthermore, problem-solving related to circle geometry, linear equations, and optimization within business contexts are emphasized.

Time management is crucial, as students need to carefully organize their work to demonstrate detailed steps for problems requiring calculations, especially those involving proofs or derivations. Accurate interpretation of graphs and relationships between functions is essential. The exam emphasizes clarity in reasoning, correctness in calculations, and proper application of algebraic rules.

Students are expected to show all work for problems with required work, providing detailed reasoning and intermediate steps to receive full credit. The clarity of explanations, correctness of solutions, and appropriate use of algebraic techniques are critical evaluation criteria.

References

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  • Stewart, J. (2015). Calculus: Early Transcendental (8th edition). Boston, MA: Cengage Learning.
  • Swokowski, E., & Cole, J. (2011). Algebra and Trigonometry with Analytic Geometry (11th ed.). Boston, MA: Cengage Learning.
  • Devore, J. L. (2015). Probability and Statistics for Engineering and the Sciences (8th ed.). Boston, MA: Cengage Learning.
  • Lay, D. C., Lay, S. R., & McDonald, J. J. (2016). Linear Algebra and Its Applications (5th ed.). Boston, MA: Pearson.
  • Khan Academy. (n.d.). College algebra course resources. https://www.khanacademy.org/math/algebra
  • Paul's Online Math Notes. (n.d.). Algebra, Calculus, and more. https://tutorial.math.lamar.edu/
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