# Math 1A/1B. Pre-Calculus: Algebra and Geometry Review - UCI

This open course provides the student with review of intermediate algebra, geometry, and trigonometry. It is designed for those want to be successful in an introductory college calculus course, but would like additional preparation.

Description: UCI Math 1A/1B: Precalculus is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus.

Pre-Calculus by Dr. Sarah Eichhorn and Dr. Rachel Lehman is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License.

License: Creative Commons CC-BY-SA

Terms of Use: ocw.uci.edu/info

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Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), ocw.uci.edu/courses/math_1a1b_pr....html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (creativecommons.org/licenses/by-sa/4.0/)

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## 1) Algebra and Geometry Review## Pre-Calculus: Algebra and Geometry Review Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 2) Absolute Value Equations## Pre-Calculus: Absolute Value Equations Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 3) Absolute Value Inequalities## Pre-Calculus: Absolute Value Inequalities Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 4) Adding and Subtracting Polynomials## Pre-Calculus: Adding and Subtracting Polynomials Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 5) Adding and Subtracting Rational Expressions## Pre-Calculus: Adding and Subtracting Rational Expressions Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 6) Algebraic Symbol Manipulation## Pre-Calculus: Algebraic Symbol Manipulation Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 7) Area and Perimeter Word Problems## Pre-Calculus: Area and Perimeter Word Problems Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 8) Simplifying Fractions## Pre-Calculus: Simplifying Fractions Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 9) Compound Inequalities## Pre-Calculus: Compound Inequalities Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 10) Complex Numbers and Radicals## Pre-Calculus: Complex Numbers and Radicals Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 11) Solving a Quadratic Equation - Completing the Square## Pre-Calculus: Solving a Quadratic Equation - Completing the Square Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 12) Discriminant## Pre-Calculus: Discriminant Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 13) Dividing Rational Expressions## Pre-Calculus: Dividing Rational Expressions Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 14) Distance-Rate-Time## Pre-Calculus: Distance-Rate-Time Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 15) Factoring by Grouping## Pre-Calculus: Factoring by Grouping Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 16) Factoring a Quadratic Expression## Pre-Calculus: Factoring a Quadratic Expression Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 17) Properties of Integer Exponents## Pre-Calculus: Properties of Integer Exponents Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 18) Linear Inequality Word Problems## Pre-Calculus: Linear Inequality Word Problems Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 19) Linear Word Problems## Pre-Calculus: Linear Word Problems Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 20) Mixture Problems Using Linear Equations## Pre-Calculus: Mixture Problems Using Linear Equations Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 21) Multiplication of Binomials## Pre-Calculus: Multiplication of Binomials Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 22) Multiple Operations with Complex Numbers## Pre-Calculus: Multiple Operations with Complex Numbers Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 23) Multiple Operations with Polynomials## Pre-Calculus: Multiple Operations with Polynomials Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 24) Multiplication of Polynomials## Pre-Calculus: Multiplication of Polynomials Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 25) Multiplying Rational Expressions## Pre-Calculus: Multiplying Rational Expressions Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 26) Multiplication Involving Square Roots## Pre-Calculus: Multiplication Involving Square Roots Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 27) Adding and Subtracting Complex Numbers## Pre-Calculus: Adding and Subtracting Complex Numbers Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 28) Multiplying Complex Numbers## Pre-Calculus: Multiplying Complex Numbers Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 29) Dividing Complex Numbers## Pre-Calculus: Dividing Complex Numbers Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 30) Percentage Word Problems## Pre-Calculus: Percentage Word Problems Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 31) Properties of Real Numbers## Pre-Calculus: Properties of Real Numbers Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 32) Quadratic Formula## Pre-Calculus: Quadratic Formula Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 33) Quadratic Equation Word Problems## Pre-Calculus: Quadratic Equation Word Problems Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 34) Rationalizing a Denominator## Pre-Calculus: Rationalizing a Denominator Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 35) Rational Exponents## Pre-Calculus: Rational Exponents Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 36) Scientific Notation## Pre-Calculus: Scientific Notation Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 37) The Set of Real Numbers## Pre-Calculus: The Set of Real Numbers Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 38) Simplifying Powers of i## Pre-Calculus: Simplifying Powers of i Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 39) Simplified Radical Form## Pre-Calculus: Simplified Radical Form Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 40) Simplifying a Ratio of Polynomials## Pre-Calculus: Simplifying a Ratio of Polynomials Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 41) Solving an Equation Quadratic in Form## Pre-Calculus: Solving an Equation Quadratic in Form Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 42) Solving Linear Equations## Pre-Calculus: Solving Linear Equations Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 43) Solving a Linear Inequality## Pre-Calculus: Solving a Linear Inequality Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 44) Solving a Quadratic Equation, Part 1## Pre-Calculus: Solving a Quadratic Equation, Part 1 Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 45) Square Root Property## Pre-Calculus: Square Root Property Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 46) Solving Equations Involving Radicals## Pre-Calculus: Solving Equations Involving Radicals Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 47) Inequalities Involving Radicals## Pre-Calculus: Inequalties Involving Radicals Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 48) Solving Rational Equations, Part 1## Pre-Calculus: Solving Rational Equations, Part 1 Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 49) Solving Rational Equations, Part 2## Pre-Calculus: Solving Rational Equations, Part 2 Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 50) Special Factoring Formulas## Pre-Calculus: Special Factoring Formulas Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 51) Square Root Addition and Subtraction## Pre-Calculus: Square Root Addition and Subtraction Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

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