This Pre-Calculus Midterm Exam and Study Guide accompanies my Pre-Calculus Curriculum and provides a comprehensive review of first-semester skills, covering everything from parent functions and transformations to polynomial, rational, exponential, and logarithmic functions and trigonometry. The assessment is 100% multiple choice.
The study guide contains 125 problems, and the assessment contains 60 multiple-choice questions.
Topics Covered:
Please review the topics below to compare with your curriculum.
• Graphs of Basic Parent Functions
• Transformations of Functions
• Writing and Graphing Functions Using Transformations
• Domain and Range
• Symmetry of Graphs
• Even and Odd Functions
• Continuity of Functions and Types of Discontinuity
• Operations with Functions
• Compositions of Functions
• Piecewise Functions
• Graphs and Characteristics of Polynomial Functions
• Predicting End Behavior of Polynomial Functions
• Factored Form of Polynomial Functions
• Linear Factors and Zeros
• Multiplicity and Its Effect on the Graph
• The Remainder Theorem
• The Factor Theorem
• The Rational Zero Theorem
• Descartes’ Rule of Signs
• Solving Polynomial Equations (Rational, Irrational, and Complex Solutions)
• Writing the Complete Factorization of Polynomial Functions
• Writing Polynomial Functions Given Their Zeros
• Graphs and Characteristics of Rational Functions
• Graphs and Characteristics of Exponential Functions
• Graphs and Characteristics of Logarithmic Functions
• Properties of Logarithms
• Expanding and Condensing Logarithms
• Solving Logarithmic Equations
• Solving Exponential Equations
• Exponential Growth and Decay Applications
• Compound Interest and Continuous Compound Interest
• Degrees and Radians
• Degree-Minute-Second Form and Decimal-Degree Form
• Arc Length
• Area of Sectors
• Finding Exact Values of the Six Trigonometric Functions for Angles in Standard Position
• The Unit Circle
• Graphs and Characteristics of Trigonometric Functions
• Inverse Trigonometric Functions
• Compositions of Trigonometric Functions
• Fundamental Trigonometric Identities (Reciprocal, Quotient, and Pythagorean)
• Cofunction Identities
• Even-Odd Identities
• Sum and Difference of Angles Identities
• Double-Angle and Half-Angle Identities
• Product-to-Sum Identities
• Sum-to-Product Identities
• Simplifying Trigonometric Expressions
• Solving Trigonometric Equations
• Law of Sines
• Law of Cosines
Suggestions:
- Assign sections of the study guide over the course of a couple of weeks to help students review gradually.
- If you feel the assessment is too lengthy for your students, consider allowing them to omit any 10 questions.
Also Included:
A Google Forms version of the Pre-Calculus Mid-Year Assessment is included for easy digital assessment.
An editable version of the assessment is also included, making it easy to create multiple versions or customize the assessment to fit your needs. PowerPoint and Equation Editor (typically built into PowerPoint) are required to edit the file. If your Equation Editor is incompatible with mine, simply delete the existing equation and insert your own.
This resource is included in the following bundle(s):
License Terms:
This purchase includes a single non-transferable license, meaning it is for one teacher only for personal use in their classroom and can not be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. A transferable license is not available for this resource.
Copyright Terms:
No part of this resource may be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.
