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Algebra

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…]

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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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Algebra II: 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…]

Use the Properties of Proportions to Simplify Fractions

In algebra, the properties of proportions come in handy when solving equations involving fractions. When you can, change an algebraic equation with fractions in it to a proportion for easy solving. [more…]

Algebra II: 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: Basics of Logarithms and Exponents

Before handheld calculators, students used tables of logarithms (or logs) to do calculations in physics and other science classes. Those tables of logarithms allowed you to do multiplication or division [more…]

Algebra II: Making Matrices Work for You

A matrix is a rectangular array of numbers. Each row has the same number of elements, and each column has the same number of elements. Matrices can be classified as: square, identity, zero, column, and [more…]

10 Pitfalls to Avoid When Working with Exponents

In algebra, the rules used when working with exponents are straightforward and consistent. Challenges arise, though, when applying the rules or knowing how to apply the rules in situations where the problem [more…]

Algebra II: Hidden Intersections of Curves

When solving systems of equations, you have several options at your disposal for finding those common solutions. Linear systems can be solved by hand, algebraically, using elimination, or substitution [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…]

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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