Algebra Fundamentals

"The French mathematician Jacques S. Hadamard found, in a study of 100 leading mathematicians [including Einstein], that the majority of them were primarily visual in their approach." Scientific American, Sept., 1984, p. 56. Math Galaxy Algebra Fundamentals is like having an interactive textbook, with explanations, practice, and games that cover all topics found in an algebra 1 textbook: rational numbers, absolute value, powers/exponents, scientific and metric notation and operations, order of operations, factors and prime numbers, algebraic properties, translating English to algebra, simplifying expressions, 1 & 2-step equations, solving equations with parentheses, fractions, decimals and unknowns on both sides, slopes and linear equations, algebra word problems, systems of equations, systems of inequalities, and polynomials. The concepts are presented in bite-size pieces, with detailed explanations, illustrations, and an unlimited number of practice problems, with numbers chosen randomly. Includes support for Schoolwork. By solving problems students earn robots to use in a maze game called the Labyrinth. Topics covered include: RATIONAL NUMBERS Review Signed Numbers Operations with Signed Numbers Add & Subtract Rational Numbers Signed Number Word Problems Converting Fractions to Decimals Signed Numbers & Absolute Value Explanation of Prime Numbers Prime Factors Explanation of Greatest Common Factor Numerical Factors Factors with Variables EXPONENTS & ROOTS Review of Exponents Exponents Review of Operations with Exponents Operations with Exponents Review of Scientific Notation Scientific Intuition Scientific & Metric Notation Review of Scientific Operations Scientific & Metric Operations Order of Magnitude Review of Roots Roots EXPRESSIONS & EQUATIONS Order of Operations Operations with Exponents & Parentheses Algebraic Properties Translating to Algebra Literal Equations Simplifying Algebraic Expressions More Simplifying Algebraic Expressions The Balance Beam 1-Step The Balance Beam 2-Step One-Step Equations Two-Step Equations Equations with Unknown on Both Sides Equations with Parentheses Equations with Fractions or Decimals One-Step Inequalities Two-Step Inequalities LINEAR EQUATIONS Review Coordinates & Slopes Slopes Review Linear Equations Linear Equations Graphing from Slope-Intercept Graphing from Point-Slope Comparing Rates of Change Nonlinear Functions ALGEBRA WORD PROBLEMS Algebra Word Problems Coin & Mixture Problems Distance Problems Digit, Age, Work Problems SYSTEMS OF EQUATIONS 2-Variable Review 3-Variable Review 2-Variable Problems 3-Variable Problems Systems of Inequalities POLYNOMIALS Review Polynomials Review Quadratics Review Quadratic Formula Derivation of Parabola’s Vertex Factoring Monomials Distributive Property / Common Factors Quadratic Problems Quadratic Formula Problems Rational Equation Problems Rational Equation Word Problems