## Featured Articles

#### Algebra

### How to Add and Subtract with Powers

To add or subtract with powers, both the variables and the exponents of the variables must be the same. You perform the required operations on the coefficients, leaving the variable and exponent as they are. When adding or subtracting with powers, the terms that combine always have exactly the same variables with exactly the same powers. [more…]

#### Algebra

### How to Write Numbers in Scientific Notation

Scientific notation is a standard way of writing very large and very small numbers so that they're easier to both compare and use in computations. [more…]

## Most Popular

#### Algebra Basics

### How to Use the Order of Operations

Follow the order of operations with each algebra problem you solve. The order of operations in algebra is important if you want to find the correct answer. You first work through any grouping symbols, [more…]

#### Quadratics in Algebra

### Standard Equations of Algebraic Conics

Conics are curved algebraic forms that come from slicing a cone with a plane. Use these equations to graph algebraic conics, such as circles, ellipses, parabolas, and hyperbolas: [more…]

#### Linear Equations in Algebra

### Cramer’s Rule for Linear Algebra

Named for Gabriel Cramer, Cramer’s Rule provides a solution for a system of two linear algebraic equations in terms of determinants — the numbers associated with a specific, square matrix. [more…]

#### Counting Techniques

### Algebraic Permutations and Combinations

In algebra, you use permutations to count the number of subsets of a larger set. Use permutations when order is necessary. With combinations, you can count the number of subsets when order doesn't matter [more…]

#### Algebra Basics

### Eight Basic Algebraic Curves

Algebra is all about graphing relationships, and the curve is one of the most basic shapes used. Here's a look at eight of the most frequently used graphs. [more…]

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### Algebra Workbook For Dummies Cheat Sheet

Formulas, patterns, and procedures used for simplifying expressions and solving equations are basic to algebra. Use the equations, shortcuts, and formulas you find for quick reference. This Cheat Sheet [more…]

### How to Convert Square Roots to Exponents

Finding square roots and converting them to exponents is a relatively common operation in algebra. Square roots, which use the radical symbol, are nonbinary operations — operations which involve just one [more…]

### What Is the Binomial Theorem?

A binomial is a mathematical expression that has two terms. In algebra, people frequently raise binomials to powers to complete computations. The Binomial Theorem says that if [more…]

### Rewrite an Absolute Value Equation as a Linear Equation

To work with an absolute value equation, you first need to rewrite it as a linear equation. The same goes for an absolute value inequality, which you rewrite as a linear inequality. [more…]

### Use the Properties of Proportions to Simplify Fractions

The properties of proportions come in useful when solving equations involving fractions. When you can, change an equation with fractions in it to a proportion for ease in solving. [more…]

### Formulas to Find the Slope, Slope-Intercept, Distance, and Midpoint

When you’re working with the *x-y* coordinate system, you can use the following formulas to find the slope, slope intercept, distance, and midpoint between two points. [more…]

### Raise Binomials to a Power

A binomial is a mathematical expression that has two terms. In algebra, people frequently raise binomials to powers in order to solve equations. Here are some examples: [more…]

### Algebra II Workbook For Dummies Cheat Sheet

Learning some algebraic rules for various exponents, radicals, laws, binomials, formulas, and equations will help you successfully study and solve problems in an Algebra II course. You should also be able [more…]

### Logarithm Basics

*Logarithms* are simply another way to write exponents. Exponential and logarithmic functions are inverses of each other. For solving and graphing logarithmic functions [more…]

### Calculator Commands for Linear Algebra

Graphing calculators are wonderful tools for helping you solve linear algebra processes; they allow you to drain battery power rather than brain power. Since there is a wide variety of graphing calculators [more…]

### How to Meet Vector Space Requirements

In linear algebra, a set of elements is termed a *vector space* when particular requirements are met. For example, let a set consist of vectors **u**, **v**, and [more…]

### Algebraic Properties You Should Know

You can use a number of properties when working with linear algebraic expressions, including the commutative, associative, and distributive properties of addition and multiplication, as well as identities [more…]

### Linear Algebra For Dummies Cheat Sheet

To study and solve linear algebra equations successfully, you need to know common numerical values of trig functions, what elements determine a vector space, basic algebraic properties, and general commands [more…]

### Using Algebra to Find the Sums of Sequences

Algebra can help you add a series of numbers (the sum of sequences) more quickly than you would be able to with straight addition. Adding integers, squares, cubes, and terms in an arithmetic or geometric [more…]

### Algebra II For Dummies Cheat Sheet

Algebra is all about formulas, equations, and graphs. You need algebraic equations for multiplying binomials, dealing with radicals, finding the sum of sequences, and graphing the intersections of cones [more…]

### Dividing Variables

The page you are looking for was recently moved. Don't worry, it's still here; it just has a new address: http://www.dummies.com/how-to/content/dividing-variables-in-algebra.html [more…]

### Pre-Calculus Unit Circle

In pre-calculus, the unit circle is sort of like unit streets, it’s the very small circle on a graph that encompasses the 0,0 coordinates. It has a radius of 1, hence the unit. The figure here shows all [more…]

### Right Triangles and Trig Functions for Pre-Calculus

If you’re studying pre-calculus, you’re going to encounter triangles, and certainly the Pythagorean theorem. The theorem and how it applies to special right triangles are set out here: [more…]

### How to Format Interval Notation in Pre-Calculus

In pre-calculus you deal with inequalities and you use interval notation to express the solution set to an inequality. The following formulas show how to format solution sets in interval notation. [more…]

### Absolute Value Formulas for Pre-Calculus

Even though you’re involved with pre-calculus, you remember your old love, algebra, and that fact that absolute values then usually had two possible solutions. Now that you’re with pre-calculus, you realize [more…]

### Trig Identities for Pre-Calculus

Of course you use trigonometry, commonly called trig, in pre-calculus. And you use trig identities as constants throughout an equation to help you solve problems. The always-true, never-changing trig identities [more…]

### The Basics of Solving Algebra I Equations

One of the most common goals in algebra I is solve an equation. Solving an equation means to identify the number or numbers you can replace the variable with to make a true statement. You'll find factoring [more…]

### Factoring in Algebra I

Factoring algebraic expressions is one of the most important techniques you need to practice. Not much else can be done in terms of solving equations, graphing functions and conics, and working on math [more…]

### 1,001 Algebra I Practice Problems For Dummies Cheat Sheet

Algebra problems are easier to solve when you know the rules and formulas. Unlike other subjects where you can just read or listen and absorb the information sufficiently, math takes practice. The only [more…]

### Working with Radical and Rational Equations in Algebra II

A *radical* equation is one that starts out with a square root, cube root, or some other root and gets changed into another form to make the solving process easier. A [more…]