MATH 102, Spring 2007
Topics for Test 1

TOPICS

RELATED EXERCISES

Probability Concepts

  • outcomes, sample space, events

  • interpreting probability

  • calculating with equally likely outcomes

Chapter 5

1, 6

29

6, 7, 32, 33, 34, 46, 48, 49, A5.1, A5.2

Counting Principles

  • the Fundamental Counting Principle

  • computing permutations

  • computing combinations

Chapter 5

2, 11, 12, A5.7

20, 22, A5.7

21, 35, A5.7

Basic Statistics

  • summarizing data

  • measures of “center”: mean, median, mode

  • measures of dispersion: range, quartiles, standard deviation

  • graphs of data: boxplot, box-&-whisker plot, histogram

Chapter 5

14, 15, 16, 17, A5.8

A5.8

A5.8

30, 56, 57, 58, A5.8

Ratio and Proportion

  • comparing two numbers by a ratio

  • comparing two ratios in a proportion

Chapter 7

23, A7.1

A7.1, A7.2

Decimals

  • arithmetic with decimals

  • converting decimals to fractions, and vice-versa

  • terminating and repeating decimals

Chapter 7

2, 3, 5, 8, 10, 27, 29, A7.5

13, 14, 15, 26, A7.7

14, 15, 31

Percents

  • “percent of what”

  • Percentage increase or decrease

  • Percents greater than 100%

  • simple interest

Chapter 7

32, 33, 37, A7.8

A7.10

A7.10

Rational numbers

  • representing equivalent fractions by set model, region model, linear model

  • basic properties such as commutativity

  • arithmetic with rational numbers

  • arithmetic with mixed numbers

  • modeling arithmetic with rational numbers

Chapter 7

A7.14

4, 20

Irrational numbers

  • nonterminating, nonrepeating decimals

  • square roots, cube roots, etc. and irrational numbers

Chapter 7

16, 18, 34