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College Algebra

College Algebra Exam Info

The College Algebra exam covers material that's usually taught in a one-semester college course in algebra. Nearly half the test is made up of routine problems requiring basic algebraic skills; the remainder involves solving nonroutine problems in which test takers must demonstrate their understanding of concepts. The test includes questions on basic algebraic operations; linear and quadratic equations, inequalities, and graphs; algebraic, exponential, and logarithmic functions; and miscellaneous other topics.

50Recommended Score for Credit
3Semester Hours

Knowledge and Skills Required

Algebraic operations25%

  • Operations with exponents
  • Factoring and expanding polynomials
  • Operations with algebraic expressions
  • Absolute value
  • Properties of logarithms

Equations and inequalities25%

  • Linear equations and inequalities
  • Quadratic equations and inequalities
  • Absolute value equations and inequalities
  • Systems of equations and inequalities
  • Exponential and logarithmic equations

Functions and their properties*30%

  • Definition, interpretation, and representation/modeling (graphical, numerical, symbolic, and verbal)
  • Domain and range
  • Evaluation of functions
  • Algebra of functions
  • Graphs and their properties (including intercepts, symmetry, and transformations)
  • Inverse functions

Number systems and operations20%

  • Real numbers
  • Complex numbers
  • Factorials and binomial theorem

*Each test may contain a variety of functions, including linear, polynomial (degree ≤ 5), rational, absolute value, power, exponential, logarithmic, and piecewise defined.

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