# Basic Math: Algebra and Other Foundational Concepts

### In order to succeed in ENV710, you should have a working knowledge of the basic concepts and principles of mathematics and algebra. These concepts/principles are outlined in the learning objectives. If you need to strengthen your understanding of these concepts, please click on the links below to review the material.

## Learning Objectives

### 1. Knowledge of common Greek letters/symbols used in statistics

### 2. Understand the concepts of significant digits and rounding.

### 3. Manipulate exponents with their basic rules

### 4. Manipulate logarithms with their basic rules

### 5. Calculate and simplify factorials.

### 6. Understand algebraic manipulations including linear equations and simultaneous equations.

## Sample Problems

### Once you have reviewed the six modules above, take a stab at these practice problems.

### 1. True or False: ln(8) = ln(4) + ln(4)

### 2. Simplify: 6!/8!

### 3. What is the slope of the line 3x + 5y = 10?

### 4. Solve for x and y:

### 10x + 3y = 20

### 5x – 2y = 10

## Solutions

### Return to the Overview of the Statistics Diagnostic Exam

### This website was developed by Elizabeth A. Albright, PhD of the Nicholas School of the Environment, Duke University. Follow Elizabeth A. Albright, PhD on Twitter @enviro_prof.