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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…]
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…]
Algebra Equations for Multiplying Binomials
In algebra, multiplying binomials is easier if you recognize their patterns. You multiply the sum and difference of binomials and multiply by squaring and cubing to find some of the special products in [more…]
Defining Number Systems in Algebra
A number system in algebra is a set of numbers — and different number systems solve different types of algebra problems. Number systems include real numbers, natural numbers, whole numbers, integers, rational [more…]
How to Remember the Order of Operations
You have to follow the order of operations with each algebra problem you solve. Following the order of operations in algebra ensures that anyone reading a mathematical expression can solve it the same [more…]
How to Determine What Variables Represent
Algebra uses letters, called variables,to represent numbers that correspond to specific values. Algebraic variables can represent the unknown and what you’re solving for in an algebra problem, as well [more…]
Grouping Symbols in Algebra
Grouping symbols organize an algebra problem that contains multiple groups. Algebraic grouping symbols — parentheses, brackets, braces, radicals, and fraction lines — show where a group starts and ends [more…]
How to Determine Absolute Value
In algebra, the absolute value operation tells you how far a number is from zero. It doesn’t pay any attention to whether the number is less than or greater than zero, and so absolute values are always [more…]
Recognizing Operational Symbols in Algebra
The basics of algebra involve symbols. Algebra uses symbols for quantities, operations, relations, or grouping. The symbols are shorthand and are much more efficient than writing out the words or meanings [more…]
How to Solve Algebra Problems with Grouping Symbols
Grouping symbols organize an algebra problem that contains multiple groups. These grouping symbols — parentheses (), brackets [], braces {}, radicals (the square root symbol), and fraction lines — show [more…]
Recognizing Relationship Symbols in Algebra
Algebraic relationship symbols show how numbers or terms of an equation relate to each other. The relationship symbols show if one value is larger, smaller, equal, or approximately equal to another value [more…]
How to Check an Answer to an Algebra Problem
Checking your answers when doing algebra problems is always a good idea — after all, if there's a way to ensure that you have the correct answer, it's worth the time, isn't it? You check your answers in [more…]
How to Work with Coefficients
Algebra simplifies expressions with coefficients, which are numbers preceding variables. For example, 3 is the coefficient in 3x. Rather than using a multiplication sign between 3 and [more…]
How to Use Opposite Operations
When solving an equation in algebra, you will often use an opposite operation such as additive inverse or multiplicative inverse (reciprocal) to work your way toward the answer. You have to undo operations [more…]
Understanding Basic Algebra Vocabulary
Knowing basic algebra vocabulary can help you translate key algebra words into algebra problems. By knowing the definitions of algebra vocabulary in this list, you will be able to construct and solve algebra [more…]
Algebra Formulas Worth Memorizing
Some formulas occur frequently when you're doing algebraic manipulations and working through mathematical applications. You'll find ways to use these algebra formulas even when you're doing something other [more…]
Mathematical Order of Operations
The rules for deciding the order to evaluate arithmetic expressions, no matter how complex, are called the order of operations. The complete order of operations in math are: [more…]
Mathematical Inequalities
When two numbers are different in value, a variety of symbols are used to turn them into an inequality. The four most common inequalities in arithmetic are: [more…]
Mathematical Place Value
Our number system (Hindu-Arabic) has ten familiar digits, 0 to 9. Numbers higher than 9 are made using place value, which assigns a digit a greater or lesser value depending on where it shows up in a number [more…]
Understanding Absolute Value and Negation
The positive value of a number is its absolute value. It tells you the distance of a number from zero on the number line. Placing bars (| |) around a number or expression gives you its absolute value: [more…]
Basic Algebra Conventions
In algebra, a letter such as x that takes the place of a number in one or more equations is called a variable. Practices you need to know about how algebra problems are written: [more…]
Solving an Algebraic Equation
An algebraic equation is an equation with at least one variable. Apply operations equally to both sides to modify an equation. For example, you can add 2 to both sides, subtract x from both sides or multiply [more…]
Basic Math & Pre-Algebra Workbook For Dummies Cheat Sheet
To successfully study pre-algebra, understand that a specific order of operations needs to be applied. Also recognize some basic math principles, such as the ability to recognize and understand mathematical [more…]
Formulas for Common Geometric Shapes
Depending on the algebra problem, you'll need to know some geometry. The following represents some of the most common shapes in geometry and their formulas for perimeter, area, volume, surface areas, and [more…]
Order of Operations in Algebra
When creating simpler and more useful expressions, you want to be careful not to change the original value. By applying the order of operations, you maintain that value. [more…]
