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Featured Articles


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…]


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…]

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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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Polynomial Functions and Equations in Algebra II

In Algebra II, a polynomial function is one in which the coefficients are all real numbers, and the exponents on the variables are all whole numbers. A polynomial whose greatest power is 2 is called a [more…]

Systems of Linear Equations in Algebra II

In Algebra II, a linear equation consists of variable terms whose exponents are always the number 1. When you have two variables, the equation can be represented by a line. With three terms, you can draw [more…]

1,001 Algebra II Practice Problems For Dummies Cheat Sheet

The best way to figure out how the different algebraic rules work and interact with one another is to practice with lots of problems. And Algebra II requires lots of practice. So be prepared to solve equations [more…]

How to Use Prime Factorization on Composite Numbers

In algebra, composite numbers can be broken into prime numbers by prime factorization. You can solve for prime factors without a calculator or list of primes. This video shows how to use prime factorization [more…]

How to Solve Simple Linear Equations in Algebra

Solving linear equations in algebra is done with multiplication, division, or reciprocals. Using reciprocals, or multiplicative inverse, as well as multiplying and dividing with certain formulas, you can [more…]

How to Add and Subtract Fractions in Algebra

In algebra, adding and subtracting fractions is easy when you find the common denominator. This video shows you how to convert fractions for the common denominator. After you determine the common denominator [more…]

How to Apply Order of Operations in Algebra

The order of operations in algebra means solving first for exponents or roots, then multiplication, division, addition, and last for subtraction. The steps for the order of operations also require attention [more…]

How to Use FOIL to Distribute Two Binomials

Use FOIL to distribute two binomials. The FOIL method — which stands for first, outer, inner, and last — takes two binomials and multiplies them for a single quadratic equation. Solving for binomials with [more…]

How to Solve Quadratic Equations with the Square Root Rule

In algebra, you can solve a quadratic equation by applying the square root rule. With a squared term and a constant, the special quadratic equation is easily solved. [more…]

How to Multiply and Divide Fractions in Algebra

This video shows how to multiply and divide fractions by multiplying the numerators and denominators - even if the fractions have unlike denominators. In algebra or basic math, cancelling out equal factors [more…]

How to Use UnFOIL to Factor Quadratic Equations

Using the unFOIL method to factor quadratic equations into two binomials requires many steps. Prime factorization and order of decreasing powers are two parts of the unFOIL method, which helps you solve [more…]

Understanding the Vocabulary of Algebra

Equations, operations, variables, constants . . . . Knowing the symbols and expressions used in algebra makes understanding algebra easier. This video explains some of the common phrases and symbols you'll [more…]

Understanding Algebraic Variables

In algebra, variables are placeholder letters (capitalized and lowercase) that represent the unknown, or what you're solving for. This video shows you what variables can look like and what they mean. Understanding [more…]
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