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Contents - Lessons & Practice

Math

Algebra and Trigonometry 2e

OpenStax book

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Algebra and Trigonometry 2e

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Questions from the 13 chapters of Algebra and Trigonometry 2e. Each item asks for a term, a definition, or a claim the chapter itself states.

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Algebra and Trigonometry 2e

13 lessons

One lesson for each chapter of Algebra and Trigonometry 2e, in the book’s order. The lesson teaches what that chapter says you need to know, then checks it.

  1. 1PrerequisitesThe rational numbers and irrational numbers make up the set of real numbers..
  2. 2Equations and InequalitiesWe can locate, or plot, points in the Cartesian coordinate system using ordered pairs, which are defined as displacement from the x- axis and displacement from the y- axis
  3. 3FunctionsA function is a specific type of relation in which each domain value, or input, leads to exactly one range value, or output
  4. 4Linear FunctionsAn increasing linear function results in a graph that slants upward from left to right and has a positive slope.
  5. 5Polynomial and Rational FunctionsA polynomial function of degree two is called a quadratic function
  6. 6Exponential and Logarithmic FunctionsAn exponential function is defined as a function with a positive constant other than 1 raised to a variable exponent
  7. 7The Unit Circle: Sine and Cosine FunctionsIn addition to degrees, the measure of an angle can be described in radians
  8. 8Periodic FunctionsPeriodic functions repeat after a given value.
  9. 9Trigonometric Identities and EquationsThere are multiple ways to represent a trigonometric expression.
  10. 10Further Applications of TrigonometryThe Law of Sines can be used to solve oblique triangles, which are non-right triangles
  11. 11Systems of Equations and InequalitiesA system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously
  12. 12Analytic GeometryWhen given the coordinates of the foci and vertices of an ellipse, we can write the equation of the ellipse in standard form
  13. 13Sequences, Probability, and Counting TheoryExplicit formulas define each term of a sequence using the position of the term