[NOTE: This video is only the first 11 minutes of the full lesson, please visit my website to purchase complete version] This lesson consists of providing you with a Self-Tutorial on what is algebra, what are variables, constants, coefficients, terms, and expressions. The tutor explains the use of proper notation, how to combine like terms, find the negation of an algebraic expression, how to evaluate an expression (by hand and by using your calculator), and finally, there is a VERY detailed section on how to translate English phrases into algebraic expressions.

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This video illustrates the basic rules of Algebra. For exercise and answer sheets, go to: www.thefreemathtutor.com

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For a complete lesson on the quadratic formula, go to www.yourteacher.com. Get the exact algebra help you need with 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn to solve quadratic equations in the form ax^2 + bx + c = 0 using the quadratic formula, which states that x = -b plus or minus the square root of b^2 -- 4ac over 2a. For example, to solve the equation x^2 -- 3x -- 8 = 0, since a = 1, b = -3, and c = -8, the quadratic formula states that x = 3 plus or minus the square root of (-3)^2 -- 4(1)(-8) over 2(1). Simplifying on the right side of the equation, x = 3 plus or minus the square root of 9 + 32 over 2, or x = 3 plus or minus the square root of 41 over 2, which is the final answer. Note that students also learn to derive the quadratic formula using completing the square in the first example problem in this lesson.

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Graphing linear equations

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When learning algebra, it helps to avoid becoming intimidated and to start off by learning simple problems to build confidence. Find out how to isolate variables to solve algebra problems with help from a standardized test prep instructor in this free video on math and education. Expert: Brian Leaf Contact: www.brianleaf.com Bio: Brian Leaf, MA, is the author of McGraw-Hill's Top 50 Skills for SAT/ACT Success series and has instructed SAT, ACT, GED and SSAT preparation to thousands of students. Filmmaker: David Pakman

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xoax.net Lesson Page: xoax.net This algebra video teaches some of the fundamental concepts of mathematics that we will make use of in our algebra tutorials. Please submit all questions to our forum: xoax.net Copyright 2009 XoaX.net LLC

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For a complete lesson on solving polynomial equations, go to www.yourteacher.com - 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn that the first step in solving polynomial equations is to set the given equation equal to zero, the next step is to factor, and the final step is to set each of the resulting factors equal to zero and solve each equation. This process usually yields more than one solution, so the answer can be written as a solution set. Some of the problems involve factoring a trinomial into two binomials, and some of the problems involve factoring a binomial as the difference of two squares.

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Knowing the symbols and expressions used in algebra makes understanding algebra easier. This video explains some common algebra symbols and phrases, such equations, operations, variables, and constants. No more confusion!

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Eric, age 8, solves 4x + 5 = 2x + 13 using the teacher game pieces. www.borenson.com.

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Figuring out the slope of a line

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This lesson consists of providing you with a basic review of the formulas from geometry you will most likely encounter in algebra (and other math classes like trigonometry and calculus). This is NOT a detailed, formal lesson. Formulas and concepts covered include: Angles (complementary & supplementary) Triangles (perimeter and area) Isosceles triangle Equilateral triangle Right triangle The Pythagorean Theorem Similar triangles Perimeter and area formulas for Quadrilaterals (square, rectangle, parallelogram, trapezoid). Some diagonal formulas too, where applicable. Circles (radius, diameter, circumference, area) Cube (diagonal of face, diagonal of cube, surface area and volume) Rectangular box [or Rectangular Parallelepiped] (diagonal of box, surface area and volume) Prisms (Volume) Pyramids (Volume) Cone (slant height, lateral surface area, total surface area, volume) Cylinder (lateral surface area, total surface area, volume) Sphere (surface area and volume)

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Solving linear equations with variable expressions in the denominators of fractions

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Part 3 of slope

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Getting a feel for slope and y-intercept

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Linear Algebra: Introduction to Vectors

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For a complete lesson on math functions, go to www.yourteacher.com - 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn that if the x-coordinate is different in each ordered pair in a given relation, then the relation is a function. Students also learn to use mapping diagrams and the vertical line test to determine if a relation is a function.

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The first of a series of lectures on Linear Algebra meant for freshman university students. This course emphasizes the geometric content of the subject, along with applications. The first lecture introduces the main problem of Linear Algebra.

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This lesson is an intro to inverse functions and has a step-by-step way to solve them in a straightforward way. YAY MATH, boo. Visit yaymath.org Videos copyright (c) Yay Math

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For a complete lesson on multiplying decimals, go to www.yourteacher.com - 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn to multiply decimals in the same way that one would multiply whole numbers (vertically). However, at the end of the problem, students must determine where the decimal goes in the answer by counting the total number of digits to the right of the decimal point in the original numbers, then placing the decimal point in the answer so that the answer has this same total number of digits to the right of the decimal point. For example, after multiplying 1.05 x 7.4, since there are a total of 3 digits to the right of the decimal point in the original numbers, place the decimal point in the answer so that there are 3 digits to the right of the decimal point.

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Lecture 30: Linear Transformations and Their Matrices. View the complete course at: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu

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[NOTE: This video is only the first 18 minutes of the full lesson, please visit my website to purchase complete version] Lesson consists of providing you with a Self-Tutorial on how to solve linear equations. Tutor discusses what is an Equation, Solution, Solution Set, Equivalent Equations, Identity, Contradictions, Conditional Equations, Linear Equations, the Standard Form of a Linear Equation. I show you how to actually SOLVE linear equations going step-by-step. I don't skip steps. I review some of the properties of Equality here too. I remind you to check the work done and how to solve linear equations using a calculator. At the end, you will know how to easily solve equations that look like: 2[y - (4y - 1)] = 5 - 9y No word problems are done here. This is shown in DETAIL in Part 2 of the Lesson.

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For a complete lesson on algebra word problems, go to www.yourteacher.com - 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn to solve "number" word problems, such as the following. One number is four times as large as another. The sum of the numbers is 45. Find the numbers. Since the first sentence states that one number is 4 times as large as another, the numbers can be represented as x and 4x. Since the second sentence states that the sum of the numbers is 45, the equation can be set up as x + 4x = 45.

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23-26, mostly imaginary and complex numbers

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Where did the word "Algebra" and its underlying ideas come from

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27-32, figuring out the slope, y-intercept and equation of a line

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This clip provides an introduction to the history of Algebra. More information can be found at www.cerebellum.com.

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For a complete lesson on percent increase, go to www.yourteacher.com - 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn to find the percent increase or percent decrease between two numbers, using the following formula amount of change/ original number. For example, to find the percent decrease if the price changes from $60 to $39, since the amount of change is $21, and the original number is $60, the percent decrease is $21/$60, which simplifies to 0.35. And remember that the answer is a percent, so move the decimal point two places to the right, to get 35%. So if the price changes from $60 to $39, the percent decrease is 35%.

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YourTeacher.com - www.yourteacher.com - offers a complete library of online math lessons covering College Algebra, with a personal math teacher inside every lesson!

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Lecture 21: Eigenvalues and Eigenvectors. View the complete course at: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu

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For a complete lesson on completing the square, go to www.yourteacher.com - 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn to solve quadratic equations by completing the square. For example, to solve the equation s^2 - 6s + 5 = 0, the first step is put the constant term on the opposite side of the equation as the terms that contain the variables, by subtracting 5 from both sides, to get s^2 - 6s ___ = - 5 ___. Next, the number that goes in each space comes from half the coefficient of the middle term squared, which in this case is half of -6, or -3, squared, which is +9. So a +9 goes in each space, to get s^2 - 6s + 9 = - 5 + 9. The trinomial on the left side of the equation then factors as (s - 3)(s - 3), or (s - 3)^2, and the right side of the equation simplifies to 4, so the problem now reads (s - 3)^2 = 4. Finally, take the square root of both sides to get s - 3 = plus or minus 4, so s - 3 = 4, or s - 3 = -4, and solving each equation from here, s = 7 or -1.

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