# Math 32 - Pre-Algebra

Description: |
This course briefly reviews the fundamentals of arithmetic, including fractions, decimals, and order of operations. Course content includes signed numbers, ratios, proportions, percent, concepts of variables, area/perimeter/volume of geometric figures, and solving basic linear equations. |

**Learning Outcomes and Objectives Upon completion of this course, the student will be able to:**

- evaluate numerical expressions that contain integers, fractions, and decimals using the order of operations
- evaluate algebraic expressions for given value(s) of the variable(s)
- simplify variable expressions by using the distributive property and combining similar terms
- solve elementary linear equations
- set up and solve elementary application problems, including problems involving percents, ratios, and proportions
- convert between percents, decimals, and fractions
- convert units of measurement, including U.S. and metric systems
- evaluate numerical square root expressions
- calculate area, perimeter, and volume of geometric figures

**Course Topics The topics for this course are typically allocated as follows:**

Lec |
Topic |

3 | Review of basic operations of addition, subtraction, multiplication, and division of whole numbers, decimals, and fractions; order of operations |

6 | Signed numbers, basic operations thereon, including decimals, fractions, and the order of operations |

1 | Introduction to variables; evaluating algebraic expressions for given value(s) of the variable(s) |

3 | Simplifying algebraic expressions |

3 | Solving equations with the addition property of equality |

3 | Solving equations with the multiplication property of equality |

3 | Solving equations with both properties of equality |

6 | Setting up and solving elementary application problems that employ linear equations |

6 | Ratios, proportions Solving elementary applications using ratios and proportions |

6 | Percents Solving elementary applications using percents |

6 | Converting between percents, decimals, and fractions |

2 | Unit conversion Converting U.S. and metric measurements |

3 | Geometric formulas for perimeter, area, and volume |

1 | Square roots: Evaluating roots of perfect squares, order of operations Approximating square roots of non-squares without a calculator Approximating square roots of non-squares using a calculator |

2 | Final exam |