Summit - An Interactive Algebra Journey

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@The Real Number System #Fractions $Visualizing Fractions $Learning the Definition of a Factor $Multiplying and Dividing Fractions $Writing Fractions in Lowest Terms $Adding and Subtracting Fractions $Discussion Questions #Exponents, Order of Operations, and Inequality $Using Exponents $Using the Order of Operations $Equality, Less Than, Greater Than, and Other Relations $Discussion Questions #Variables, Expressions, and Equations $Using Variables $Solving Equations $Distinguishing Expressions and Equations $Discussion Questions #Real Numbers and the Number Line $The Number Line and the Integers $Rational Numbers and Real Numbers $Comparing Real Numbers $Opposites $Absolute Values $Discussion Questions #Addition and Subtraction of Real Numbers $Adding Numbers on the Number Line $Using the Order of Operations with Real Numbers $Subtraction $Discussion Questions #Multiplication and Division of Real Numbers $Multiplying Positive and Negative Numbers $Evaluating Multiplicative Expressions $Division $Operations with Signed Numbers $Discussion Questions #Properties of Addition and Multiplication $The Commutative Properties $The Associative Properties $The Identity Properties $Inverses $The Distributive Property $Discussion Questions #Geometry Review and Formulas $Angles $Triangles $Perimeters $Areas $Discussion Questions @Solving Equations and Inequalities #Simplifying Expressions $Simplifying Expressions $Identifying Terms and Numerical Coefficients $Identifying Like Terms $Combining Like Terms $Structure of Expressions $Discussion Questions #Addition and Multiplication Properties of Equality $Identifying Linear Equations $Inverse Operations $Using the Addition Property of Equality $Using the Multiplication Property of Equality $Discussion Questions #More on Solving Linear Equations $The Four Steps for Solving a Linear Equation $Solving Equations with Fractional Coefficients $Solving Equations with Decimal Coefficients $Recognizing Equations with No or Many Solutions $Discussion Questions #Problem Solving $The Steps in Solving an Applied Problem $Finding the Value of an Unknown Number $The Number of Men and Women at a Concert $The Number of Orders for Caffe Lattes $Dividing a Board into Pieces $Analyzing a Gasoline-Oil Mixture $Finding the Measure of an Angle $Discussion Questions #Ratios and Proportions $Writing Ratios $Proportions $Solving Proportions $Discussion Questions #Addition and Multiplication Properties of Inequality $Graphing Intervals on the Number Line $The Addition Property of Inequality $The Multiplication Property of Inequality $Solving Linear Inequalities $Discussion Questions @Polynomials and Exponents #Polynomials $Identifying Terms and Coefficients $Adding Like Terms $Evaluating Polynomials $Adding Polynomials $Subtracting Polynomials $Discussion Questions #Exponents $Using Exponents $The Product Rule for Exponents $The Power Rule for Exponents (1st Form) $The Power Rule for Exponents (2nd Form) $The Power Rule for Exponents (3rd Form) $Discussion Questions #Multiplication of Polynomials $Multiplying a Monomial by a Polynomial $Multiplying Two Polynomials $The FOIL Method $Discussion Questions #Special Products $Squaring Binomials $The Difference of Squares $Higher Powers of Binomials $Discussion Questions #The Quotient Rule and Integer Exponents $The Quotient Rule of Exponents $Zero Exponents $Negative Exponents $Using the Rules of Exponentiation $Discussion Questions #Dividing Polynomials $Division by a Monomial $Division by a Polynomial $Discussion Questions @Factoring #The Greatest Common Factor $Finding the Greatest Common Factor $Factoring out the Greatest Common Factor $Factoring by Grouping $Discussion Questions #Factoring Trinomials $Trinomials with a Leading Coefficient of 1 $Trinomials with a Greatest Common Factor $Discussion Questions #More on Factoring Trinomials $Factoring by Grouping $Factoring by Trial and Error $Factoring out a Greatest Common Factor $Discussion Questions #Special Factorizations $The Difference of Squares $Perfect Squares $Sum and Difference of Cubes $Discussion Questions #Solving Quadratic Equations by Factoring $Quadratic Equations $Other Equations $Discussion Questions @Rational Expressions #What is a Rational Expression? $Rational Expressions and their Numerical Values $Values That Make a Rational Expression Undefined $Writing Rational Expressions in Lowest Terms $Discussion Questions #Multiplication and Division of Rational Expressions $Multiplication of Rational Expressions $Division of Rational Expressions $Discussion Questions #The Least Common Denominator $Finding Least Common Denominators $Converting to a Common Denominator $Discussion Questions #Addition and Subtraction of Rational Expressions $Addition of Rational Expressions $Subtraction of Rational Expressions $Discussion Questions #Complex Fractions $Complex Fractions as Quotients $Three Steps for Simplifying Complex Fractions $Discussion Questions #Equations Involving Rational Expressions $Expressions and Equations $Solving Equations with Rational Expressions $Discussion Questions @Graphing Linear Equations #Linear Equations in Two Variables $Writing a Solution as an Ordered Pair $Deciding if an Ordered Pair Satisfies an Equation $Getting your own Solutions and Making a Table $Plotting Ordered Pairs on a Coordinate System $Discussion Questions #Graphing Linear Equations in Two Variables $Graphing Equations with Ordered Pairs $Finding Intercepts $Graphing Linear Equations Ax + By = 0 $Graphing Linear Equations y = k or x = k $Discussion Questions #The Slope of a Line $Finding the Slope of a Line $Finding the Slope from the Equation of a Line $Parallel and Perpendicular Lines $Discussion Questions #Equations of a Line $Writing a Linear Equation from the Slope and Intercept $Graphing a Line from the Slope and Intercept $Writing a Linear Equation from the Slope and Any Point $Writing a Linear Equation from Two Points $Discussion Questions #Graphing Linear Inequalities in Two Variables $Graphing Non-Strict Linear Inequalities $Graphing Strict Linear Inequalities $Discussion Questions #Functions $Definition of a Function $Distinguishing Functions from Non-Functions $Using f(x) Notation $Guessing the Formula of a Linear Function $Discussion Questions @Linear Systems #Solving Systems of Linear Equations by Graphing $Solving Linear Systems by Graphing $Inconsistent and Dependent Systems $Identifying the Type of System without Graphing $Discussion Questions #Solving Systems of Linear Equations by Elimination $Solving with Back Substitution $Solving by Eliminating Each Variable in Turn $Inconsistent, Consistent, and Dependent Systems $Discussion Questions #Solving Systems of Linear Equations by Substitution $Solving a System by Substitution $Solving Systems with Fractional Coefficients $Discussion Questions #Solving Systems of Linear Inequalities $Solve Systems by Graphing $Discussion Questions @Roots and Radicals #Finding Roots $Finding Square Roots $Rational and Irrational Square Roots $Approximating Irrational Square Roots $Using the Pythagorean Formula $Finding Higher Roots $Discussion Questions #Multiplication and Division of Radicals $Multiplying Radicals $Using the Product Rule to Simplify Square Roots $The Quotient Rule for Radicals $Product and Quotient Rules for Higher Roots $Discussion Questions #Addition and Subtraction of Radicals $Adding and Subtracting Radicals $Simplifying by Adding and Subtracting Radicals $Discussion Questions #Rationalizing the Denominator $Rationalizing Denominators with Square Roots $Writing Radicals in Simplified Form $Rationalizing Denominators with Higher Roots $Discussion Questions #Simplifying Radical Expressions $Radical Expressions with Addition $Radical Expressions with Addition and Multiplication $Using Conjugates $Reducing a Square Root Quotient $Discussion Questions #Equations with Radicals $Solving Equations with Square Roots $Equations with No Solutions $Equations in which a Binomial gets Squared $General Steps for Solving $Discussion Questions #Fractional Exponents $Defining the One-nth Power $Defining the m-nths Power $The Properties of Fractional Exponents $Discussion Questions @Quadratic Equations #Solving Quadratic Eqns by the Square Root Property $When x Squared Equals a Number $When [ax+b] Squared Equals a Number $Discussion Questions #Solving Quadratic Eqns by Completing the Square $When the Leading Coefficient is 1 $When the Leading Coefficient is not 1 $Simplifying before Completing the Square $Discussion Questions #Solving Quadratic Eqns with the Quadratic Formula $Recognizing the Standard Form of a Quadratic Eqn $Using the Quadratic Formula $Eqns with Only One Solution or No Real Solutions $The Quadratic Formula with Fractional Coefficients $Applied Problems $Discussion Questions