Algebraic Expressions, Equations, and Inequalities Algebraic Expressions, Equations, and Inequalities 20%

1Ability to perform operations on algebraic expressions
2Ability to solve equations and inequalities, including linear, quadratic, absolute value, polynomial, rational, radical, exponential, logarithmic, and trigonometric
3Ability to solve systems of equations, including linear and nonlinear

Functions: Concept, Properties, and Operations Functions: Concept, Properties, and Operations 15%

1Ability 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)

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

1Ability to recognize and perform operations and transformations on functions presented symbolically, graphically, or in tabular form
2Ability to demonstrate an understanding of basic properties of functions and to recognize elementary functions (linear, quadratic, absolute value, square root, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piecewise-defined functions) that are presented symbolically, graphically, or in tabular form

Analytic Geometry Analytic Geometry 10%

1Ability to demonstrate an understanding of the analytic geometry of lines, circles, parabolas, ellipses, and hyperbolas

Trigonometry and its Applications Trigonometry and its Applications 15%

1Ability to demonstrate an understanding of the basic trigonometric functions and their inverses and to apply the basic trigonometric ratios and identities (in right triangles and on the unit circle)
2Ability to apply trigonometry in various problem-solving contexts

Functions as Models Functions as Models 10%

1Ability to interpret and construct functions as models and to translate ideas among symbolic, graphical, tabular, and verbal representations of functions

Precalculus (PRECLC) Exam Blueprint