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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 Calculate Limits with Algebra
Calculus lets you find lengths and areas that involve curves by zooming into the curve until it appears to be a straight line. Once you have a straight line, you can use algebra's slope formula to learn [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 Integrate by Parts
Integrating by parts is a complicated calculus procedure. This video uses example problems to show you how to put the calculus formulas to work to integrate by parts. [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…]
How to Connect Slopes and Derivatives
Geometry allows you to find the slope (rise over run) of any straight line. Curves, too, have a slope, but you have to use calculus to figure it out. This video shows you the connections between slope, [more…]
How to Find Approximate Area Using Sigma Notation
This video tutorial shows you how to express the area under a curve with Sigma notation (or summation notation). You can use Sigma notation as a simpler way to write the sums of a long series of numbers [more…]
How to Find the Area between Two Curves
Calculus formulas allow you to find the area between two curves, and this video tutorial shows you how. Simply put, you find the area of a representative section and then use integration find the total [more…]
How to Find the Volume of a Solid with a Circular Cross-Section
Calculus allows you to calculate the volume of conical objects by dividing the object into an infinite number of circular cross-sections - geometrical shapes resembling pancakes or washers - and adding [more…]
How to Find the Surface Area of a Surface Revolution
The surface area of a surface of revolution applies to many three-dimensional, radially symmetrical shapes. Formulas in this calculus video tutorial reveal how to estimate, measure, and solve for the surface [more…]
