Intermediate Algebra is designed to broaden and expand the concepts of Elementary Algebra/Algebra l. This course covers all the essential topics needed to be successful in College Algebra, Statistics or Precalculus. Topics include: algebraic techniques with polynomials, rational expressions and equations, exponents, radical expressions and equations, factoring, linear and quadratic equations, inequalities, logarithmic and exponential equations, solving systems of two or more linear equations, complex numbers, mathematical modeling, functions and their graphs. Upon completion, students will be able to solve real world problems and use appropriate models for analysis.

Prerequisite: Either a year of high school Algebra l or one semester of Elementary Algebra with a grade of C or better.

Note: This class is equivalent to one year of High School Algebra ll.

UC Approved: Yes

Meets Common Core Requirements: Yes

Numerical Operations & Variables

Lessons | Homework | HW Quiz |
---|---|---|

1.1 Properties of Real Numbers |
1.1 | 1.1 |

1.2 Exponents, Absolute Value & Order of Operation |
1.2 | 1.2 |

1.3 Language of Algebra |
1.3 | 1.3 |

1.4 Scientific Notation & Conversion of Units |
1.4 | 1.4 |

1.5 Evaluating Algebraic Expressions |
1.5 | 1.5 |

**Chapter 1 Test** (27 questions)

Polynomials

Lessons | Homework | HW Quiz |
---|---|---|

2.1 Addition & Subtraction of Polynomials |
2.1 | 2.1 |

2.2 Properties of Exponents |
2.2 | 2.2 |

2.3 Multiplication of Polynomials |
2.3 | 2.3 |

2.4 Division of Polynomials |
2.4 | 2.4 |

2.5 Factoring Polynomials l |
2.5 | 2.5 |

2.6 Factoring Polynomials ll |
2.6 | 2.6 |

**Chapter 2 Test** (25 questions)

Equations, Inequalities and Problem Solving

Lessons | Homework | HW Quiz |
---|---|---|

3.1 Linear and Literal Equations |
3.1 | 3.1 |

3.2 Applications Involving Rate, Time & Distance |
3.2 | 3.2 |

3.3 Applications Involving Mixture |
3.3 | 3.3 |

3.4 Applications Involving Ratio, Proportion & Consecutive Numbers |
3.4 | 3.4 |

3.5 Linear Inequalities |
3.5 | 3.5 |

3.6 Equations & Inequalities Involving Absolute Value |
3.7 | 3.7 |

**Chapter 3 Test** (26 questions)

Rational Expressions and Equations

Lessons | Homework | HW Quiz |
---|---|---|

4.1 Introduction to Rational Expressions |
4.1 | 4.1 |

4.2 Multiplication and Division of Rational Expressions |
4.2 | 4.2 |

4.3 Addition and Subtraction of Rational Expressions |
4.3 | 4.3 |

4.4 Rational Equations |
4.4 | 4.4 |

4.5 Complex Fractions |
4.5 | 4.5 |

**Chapter 4 Test** (24 questions)

Radical Expressions and Equations

Lessons | Homework | HW Quiz |
---|---|---|

5.1 Introduction to Radical Expressions |
5.1 | 5.1 |

5.2 Addition and Subtraction of Radical Expressions |
5.2 | 5.2 |

5.3 Multiplication and Division of Radical Expressions |
5.3 | 5.3 |

5.4 Negative and Rational Exponents |
5.4 | 5.4 |

5.5 Radical Equations |
5.5 | 5.5 |

5.6 Complex Numbers |
5.6 | 5.6 |

**Chapter 5 Test** (30 questions)

Quadratic Equations

Lessons | Homework | HW Quiz |
---|---|---|

6.1 Factor and Square Root Methods |
6.1 | 6.1 |

6.2 The Quadratic Formula |
6.2 | 6.2 |

6.3 Completing the Square |
6.3 | 6.3 |

6.4 Right Triangles and the Pythagorean Theorem |
6.4 | 6.4 |

6.5 Distance and Midpoint Formulas |
6.5 | 6.5 |

6.6 Non-linear Inequalities |
6.6 | 6.6 |

**Chapter 6 Test** (24 questions)

Graphs of Equations and Inequalities

Lessons | Homework | HW Quiz |
---|---|---|

7.1 The Coordinate Plane & the Slope of a Line |
7.1 | 7.1 |

7.2 Graphing a Linear Equation |
7.2 | 7.2 |

7.3 Equations of Lines |
7.3 | 7.3 |

7.4 Graphs of Quadratic Equations |
7.4 | 7.4 |

7.5 Graphs of Linear Inequalities |
7.5 | 7.5 |

**Chapter 7 Test** (25 questions)

Linear Systems & Functions

Lessons | Homework | HW Quiz |
---|---|---|

8.1 Linear Systems in Two Variables |
8.1 | 8.1 |

8.2 Systems of Linear Inequalities |
8.2 | 8.2 |

8.3 Introduction to Functions |
8.3 | 8.3 |

8.4 Domain & Range of a Function |
8.4 | 8.4 |

8.5 Composition of Functions |
8.5 | 8.5 |

8.6 Inverse Functions |
8.6 | 8.6 |

**Chapter 8 Test** (32 questions)

Exponential and Logarithmic Functions

Lessons | Homework | HW Quiz |
---|---|---|

9.1 Exponential Functions |
9.1 | 9.1 |

9.2 Logarithmic Functions |
9.2 | 9.2 |

9.3 Properties of Logarithms |
9.3 | 9.3 |

9.4 Exponential and Logarithmic Equations |
9.4 | 9.4 |

9.5 Sequences and Series |
9.5 | 9.5 |

**Chapter 9 Test** (29 questions)

**Final for Intermediate Algebra** (44/55 questions)

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