section |
topics |

1.2 | fractions |

1.3 | order of operations (PEMDAS) |

1.4 | negative numbers, exponents |

1.6 | absolute value, inequalities |

2.1 | solving equations |

2.2 | word problems |

2.3 | word problems with formulas |

2.4 | solving inequalities |

2.5 | absolute values |

3.1-3.4 | word problems |

4.1 | polynomials, exponents |

4.2 | adding and subtracting polynomials |

4.3 | multiplying polynomials, FOIL |

4.4 | factoring |

4.5 | more factoring |

4.6 | long division of polynomials |

5.1 | simplifying fractions |

5.2 | multiplying and dividing fractions |

5.3 | adding and subtracting fractions |

5.4 | fractions within a fraction |

5.5 | equations and inequalities with fractions |

5.6 | word problems on work |

5.7 | ratios and proportions |

6.2 | functions |

6.3 | graphing functions |

7.1 | slope |

7.2 | point-slope and slope-intercept forms |

7.3 | horizontal and vertical lines |

parallel and perpendicular lines | |

7.4 | inequalities with lines |

8.1 | exponents |

8.2 | zero and negative exponents |

8.3 | fractional exponents and radicals |

8.4 | simplifying radicals |

8.5 | adding and subtracting radicals |

multiplying and dividing radicals | |

rationalizing the denominator | |

11.3 | logarithms |

11.4 | properties of logs |

11.5 | log and exponential equations |

9.1 | solving simple quadratics |

solving quadratics by factoring | |

completing the square | |

9.2 | the quadratic formula |

13.1 | solving systems of equations by graphing |

solving systems of equations by substitution | |

13.2 | solving systems of equations by elimination |

trigonometry | |

radians and degrees | |

sine and cosine | |

30-60-90 and 45-45-90 triangles |

**Topics to skip**

There are various sections of the book that we did not cover. These include factoring the sum/difference of two cubes (p. 128), change of base for logs (p. 406), word problems for logs (p. 411), complex/imaginary numbers ("i"), which appear throughout the book (see, for instance, example (c) on p. 300), and completing the square for quadratic equations for which the coefficient of x-squared is not 1 (example 5 on p. 304). Such topics will not be covered on the final exam. If in doubt about whether something might be covered, don't hesitate to ask me.

Return to the Math 100 page.