Precalculus review packet with answers 2016-2017

Precalculus review packet with answers 2016 2017 software#

Representations of Functions: Symbolic, Graphical, and Tabular (30%)

Ability to demonstrate an understanding of the concept of a function, the general properties of functions (e.g., domain and range), function notation, and to perform symbolic operations with functions (e.g., evaluation and inverse functions).

Ability to solve systems of equations, including linear and nonlinearДЇunctions: Concept, Properties, and Operations (15%).

Ability to solve equations and inequalities, including linear, quadratic, absolute value, polynomial, rational, radical, exponential, logarithmic, and trigonometric.

Ability to perform operations on algebraic expressions.

Algebraic Expressions, Equations, and Inequalities (20%) The percentages next to the topics indicate the approximate percentage of exam questions on that topic.

The subject matter of the Precalculus exam is drawn from the following topics.

Solving nonroutine problems or problems that require insight, ingenuity, or higher mental processes.

Solving problems that demonstrate comprehension of mathematical ideas and/or concepts.

Recalling factual knowledge and/or performing routine mathematical manipulation.

Questions on the exam require candidates to demonstrate the following abilities:

Generate a table of values for a function.

Find points of intersection of graphs of functions.

Perform calculations (e.g., exponents, roots, trigonometric values, and logarithms).

In order to answer some of the questions in the calculator section of the exam, students may be required to use the online graphing calculator in the following ways: Visit ETS to learn more and to practice using the graphing calculator. Only some of the questions actually require the graphing calculator.

Precalculus review packet with answers 2016 2017 software#

Graphing CalculatorДЄ graphing calculator, the TI-84 Plus CE, is integrated into the exam software and available to students during Section 1 of the exam. No calculator is allowed for this section.ДЄlthough most of the questions on the exam are multiple choice, there are some questions that require students to enter a numerical answer.

Section 2: 23 questions, approximately 40 minutes.

Only some of the questions will require the use of the calculator. The use of an online graphing calculator (non-CAS) is allowed for this section.

Section 1: 25 questions, approximately 50 minutes.

The exam contains approximately 48 questions, in two sections, to be answered in approximately 90 minutes. A solid understanding of these types of functions is at the core of all precalculus courses, and it is a prerequisite for enrolling in calculus and other college-level mathematics courses. Questions on the exam will present these types of functions symbolically, graphically, verbally or in tabular form.

Many of the questions test a studentвЂ™s knowledge of specific properties of the following types of functions: linear, quadratic, absolute value, square root, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piecewise defined.

A large portion of the exam is devoted to testing a studentвЂ™s understanding of functions and their properties. The Precalculus exam assesses student mastery of skills and concepts required for success in a first-semester calculus course.

Precalculus review packet with answers 2016-2017