Category: Algebra

  • Absolute Value
    • The symbol x denotes the absolute value of x, which is the number without its sign.
  • Adding Algebraic Fractions
    • There is one rule for adding or subtracting fractions: the denominators must be the same. Learn more and practice here.
  • Adding and Subtracting Signed Numbers
    • "Adding" a negative number. Naming terms. The rule for adding terms. Subtracting a negative number.
  • Adding Like Terms
    • This covers "like terms", which have the same literal factor (or factors).
  • Algebra
    • Conceptual videos and worked examples from basic algebra through Algebra 2. Includes videos from the former algebra worked examples playlists. Topics include: Linear equations and inequalities; Graphing linear functions; Systems of equations and inequalities; Multiplying and factoring expressions; Quadratics functions and equations; Exponent expressions and equations; Ratios and rational expressions; Logarithms; Conic sections; Matrices; and Imaginary and complex numbers.
  • Algebra - Basic
    • An introduction to the algebraic topics of functions, equations, and graphs for middle-school and high-school students.
  • Algebra 2 Worksheets
    • A great site with many algebra 2 worksheets, just a bit more advanced than the algebra 1 worksheets. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.
  • Algebra I - Second Edition
    • Algebra I Second Edition is a clear presentation of algebra for the high school student. Topics include: Equations and Functions, Real Numbers, Equations of Lines, Solving Systems of Equations and Quadratic Equations.
  • Algebra I Teacher's Edition
    • Algebra I Teacher's Edition FlexBook complements CK-12’s Algebra I Student Edition.
  • Álgebra I--Edición Española
    • This is an introduction to algebraic concepts for the high school student. Topics include: Equations & Functions, Real Numbers, Equations of Lines, Solving Systems of Equations & Quadratic Equations. In Spanish.
  • Algebra Worksheets
    • A great site with many algebra worksheets. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.
  • Algebraic Expressions
    • Terms versus factors. The function of parentheses. The order of operations. The value of a letter. What it means to evaluate an expression.
  • Algebraic Fractions
    • Fractions in algebra are typically called rational expressions.
  • Common Factor
    • Learn how to factor a number or an expression, and how it means to write it as a product of factors.
  • Complex Numbers
    • The square root of -1 is not a real number. There is no positive or negative number whose square will be negative. Nevertheless, it turns out to be extremely useful in mathematics and science to say that the equation x² + 1 = 0 has a solution.
  • Difference of Two Squares
    • When the sum of two numbers multiplies their difference -- (a + b)(a - b) -- then the product is the difference of their squares: (a + b)(a - b) = a² - b²
  • Equation of a Straight Line
    • y = 2x + 4 This is called an equation of the first degree. It is called that because the highest exponent is 1.
  • Equations with Fractions
    • To solve an equation with fractions, transform it into an equation without fractions. The technique is called clearing of fractions.
  • Exponents
    • When a number is repeatedly multiplied by itself, we get the "powers" of that number.
  • Factoring Trinomials
    • Factoring is the reverse of multiplying. Learn how to factor here.
  • Inequalities
    • An explanation of the greater than and less than signs. In each case, the sign opens towards the larger number.
  • Introduction To Algebra
    • Videos exploring why algebra was developed and how it helps us explain our world. Covers variables and expressions, writing and interpreting expressions, and equations and inequalities.
  • Linear Equations
    • Inverse operations. The four forms of equations. Transposing. A logical sequence of statements.
  • Logarithms
    • Learn about logarithms here and how exponents factor in.
  • Mathematics Textbooks
    • Abstract Algebra: The Basic Graduate Year ; A Course In Algebraic Number Theory ; A Course In Commutative Algebra ; Complex Variables ; Lectures on Statistics ; A Pari/GP Tutorial ; Real Variables with Basic Metric Space Topology ; Basic Probability Theory.
  • MathTrax: The Intelligent Math Tutor
    • MathTrax is a graphing tool for middle school and high school students to graph equations, physics simulations or plot data files; for approximately 6-12th grade levels.
  • Multiplying and Dividing Algebraic Fractions
    • To multiply fractions, multiply the numerators and multiply the denominators. Also learn how to deal with a complex fraction.
  • Multiplying and Dividing Radicals
    • Learn the rule for multiplying radicals.
  • Multiplying and Dividing Signed Numbers
    • Covers the rule of signs.
  • Multiplying Out: The Distributive Rule
    • "To multiply a sum, multiply each term of the sum." This is called the distributive rule.
  • Negative Exponents
    • Learn about negative exponents, and how to extend the meaning of an exponent to more than just a positive whole number.
  • Perfect Square Trinomials
    • The square of a binomial come up so often that the student should be able to write the trinomial product quickly and easily.
  • Quadratic Equations
    • A quadratic is a polynomial whose highest exponent is 2. Learn about how quadratics feed into the quadratic equation.
  • Quadratic Trinomials
    • A trinomial is a sum of three terms, while a multinomial is more than three.
  • Radicals: Rational and Irrational Numbers
    • This mark √ is called the radical sign (after the Latin radix = root). The number under the radical sign is called the radicand.
  • Rational Exponents
    • The symbol √a, as we have seen, symbolizes one number, which is the non-negative square root of a. Learn how to practice rational exponents here.
  • Reciprocals and Zero
    • Covers the definition of devision, and the rules of 0.
  • Rectangular Coordinates
    • The coordinate 0 is called the origin of coordinates. Points to the right of 0 are labeled with positive numbers: 1, 2, 3, etc. Points to the left of the origin are labeled with negative numbers: -1, -2, -3, etc. . Those coordinates are the "addresses" of those points.
  • Short Division
    • Division means finding what number times the divisor will equal the dividend. Ways to practice short division.
  • Signed Numbers
    • The absolute value and the algebraic sign. Subtracting a larger number from a smaller. The number line. The negative of any number.
  • Simplifying Radicals
    • A square root radical is "simplified" when the radicand has no square factors.
  • Simultaneous Linear Equations
    • Practice simultaneous linear equations here.
  • Skills in Algebra
    • A collection of 7 chapters of lessons in algebra.
  • Slope of a Straight Line
    • Learn how to create a slope of a straight line and what it helps you analyze.
  • Some Rules of Algebra
    • The rule of symmetry. Commutative rules. Inverses. Two rules for equations.
  • The Formal Rules of Algebra
    • Algebra is a method of written calculations. A formal rule shows how an expression written in one form may be rewritten in a different form.
  • The Pythagorean Distance Formula
    • Basic to trigonometry and calculus is the theorem that relates the squares drawn on the sides of a right-angled triangle.
  • Understanding Algebra
    • This text is suitable for high-school Algebra I, preparing for the GED, a refresher for college students who need help preparing for college-level mathematics, or for anyone who wants to learn introductory algebra.
  • Variation
    • The subject of variation is more properly the subject of arithmetic, because it depends squarely on the concept of ratio.
  • Your Algebra Resource
    • Purplemath's algebra lessons are written with the student in mind. These lessons emphasize the practicalities rather than the technicalities, demonstrating dependable techniques, warning of likely "trick" questions, and pointing out common mistake