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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…]
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 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 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…]
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…]
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…]
How to Use the Quadratic Formula to Solve Algebraic Equations
Using the quadratic formula to solve equations may bring one, two, or no algebraic solutions. The quadratic formula is special to quadratic equations, which can have fractions, radicals, or neverending [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 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 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…]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, whole numbers, natural numbers, integers, [more…]
How to Multiply Two Mixed Numbers
Knowing how to multiply fractions will help when it comes to multiplying two mixed numbers. To multiply two mixed numbers, first change all mixed numbers to improper fractions. Then, simplify, or reduce [more…]
How to Multiply Three Mixed Numbers
Multiplying three mixed numbers is quite similar to multiplying simple fractions. To multiply mixed numbers, first change any mixed numbers to improper fractions. Next, simplify, or reduce, the fractions [more…]
How to Solve Algebra Problems with Grouping Symbols
Grouping symbols organize an algebra problem with multiple groups. Algebraic grouping symbols (parentheses, brackets, braces, radicals, fraction lines) show where a group starts and ends, and helps to [more…]
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 or about equal to another value. These algebra [more…]
How to Find Common Denominators to Create Equivalent Fractions
You must find a common denominator if you want to add, subtract, or compare fractions that have different denominators. A common denominator, which means having the same number in the denominator [more…]
How to Change Improper Fractions to Mixed Numbers
Changing improper fractions to mixed numbers can help you understand the result of an algebraic problem better. Improper fractions are simply top-heavy fractions whose numerators [more…]
How to Add Fractions
Adding fractions is easy if the denominators are the same, but adding fractions with different denominators requires care. If you set up an algebraic equation to add fractions with different denominators [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…]
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 make constructing and solving algebra [more…]
Quantities Symbols in Algebra
Algebra uses some operational symbols to represent numerical quantities. While symbols, specifically, pi (ð),represent a constant quantity, other algebra symbols, such as the square root and absolute value [more…]
How to Remember the Order of Operations
Remember algebra's order of operations with the phrase: "Please Excuse My Dear Aunt Sally." This trick for remembering the order of operations reminds you which steps to take and when: [more…]
Grouping Symbols in Algebra
Grouping symbols organize an algebra problem with multiple groups. Algebraic grouping symbols — parentheses, brackets, braces, radicals, and fraction lines — show where a group starts and ends, and help [more…]
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…]
Basics of Positive and Negative Numbers
Positive and negative numbers are all integers. Integersare whole numbers that are either greater than zero —positive — or less than zero — negative. For every positive integer, there's a negative integer [more…]
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