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ChapterUnit
WelcomeWelcome
Introduction to AlgebraAlgebraic Expressions
Introduction to AlgebraPrecedence and Parentheses
Introduction to AlgebraCommutative and Associative Properties
Introduction to AlgebraWriting Algebraic Expressions
Introduction to AlgebraIntroduction to Equations
Introduction to AlgebraFormulas
Operations with Real NumbersThe Number Line
Operations with Real NumbersAdding and Subtracting Signed Numbers
Operations with Real NumbersMultiplying and Dividing Signed Numbers
Operations with Real NumbersExponents
Operations with Real NumbersSimplifying Fractions
Operations with Real NumbersProperties of Numbers
Operations with Real NumbersInductive and Deductive Reasoning
Solving EquationsSolving Equations: Equality Properties
Solving EquationsSolving Equations: Like Terms, the Distributive Property
Solving EquationsSolving Equations with Fractions and Decimals
Solving EquationsSolving Equations With Absolute Value
Solving EquationsIntroduction to Problem Solving
Solving EquationsProblems Involving Motion
Solving EquationsSome More Challenging Motion Problems
Solving EquationsMoney Problems
Solving EquationsChallenge Problems
Solving EquationsSolving Equations for a Variable
Graphs, Charts and Data AnalysisGraphs, Charts and Data Analysis
Graphing and Linear EquationsPlotting Points
Graphing and Linear EquationsEquations with Two Variables
Graphing and Linear EquationsGraphing Equations
Graphing and Linear EquationsSlope of a Line
Graphing and Linear EquationsLinear Equations and the Slope-Intercept Form
Graphing and Linear EquationsParallel and Perpendicular Lines
Graphing and Linear EquationsRate of Change
Graphing and Linear EquationsAnalyzing data
FunctionsIntroduction to Functions
FunctionsDirect and Inverse Variation
Systems of EquationsSystems of Linear Equations
Systems of EquationsSolving by Graphing
Systems of EquationsSolving by Elimination
Systems of EquationsSolving by Substitution
Systems of EquationsSystems with More Than Two Variables
Systems of EquationsMatrices
InequalitiesLinear Inequalities with One Variable
InequalitiesCompound Inequalities and Set Notation
InequalitiesInequalities with Absolute Value
InequalitiesSystems of Inequalities
InequalitiesIntroduction to Linear Programming
ExponentsRules of Exponents
ExponentsPower Rules
ExponentsScientific Notation
ExponentsUnits and Conversions
PolynomialsPolynomial Basics
PolynomialsAdding and Subtracting Polynomials
PolynomialsMultiplying Polynomials
PolynomialsFormulas for Multiplying Binomials
PolynomialsDividing Polynomials
PolynomialsMultivariable Polynomials
PolynomialsFactoring Trinomials with a Leading Coefficient of 1
PolynomialsFactoring Trinomials with a Leading Coefficient Other Than 1
PolynomialsDifference of Squares and Perfect-Square Trinomials
PolynomialsAdvanced Factoring
PolynomialsSolving Equations by Factoring
Rational Expressions and EquationsRational Expressions
Rational Expressions and EquationsMultiplying and Dividing Rational Expressions
Rational Expressions and EquationsAdding and Subtracting Rational Expressions
Rational Expressions and EquationsLeast Common Multiples and Denominators
Rational Expressions and EquationsLong Division of Polynomials
Rational Expressions and EquationsComplex Rational Expressions
Rational Expressions and EquationsRational Equations
Radical Expressions and EquationsRadical Expressions
Radical Expressions and EquationsMultiplying Radical Expressions
Radical Expressions and EquationsDividing Radical Expressions
Radical Expressions and EquationsAdding and Subtracting Like Radical Expressions
Radical Expressions and EquationsRadical Conjugates
Radical Expressions and EquationsRadicals at Work
Radical Expressions and EquationsRadical Equations
Radical Expressions and EquationsMore Methods for Solving Radical Equations
Radical Expressions and EquationsExponent Notation
Quadratic EquationsSolving Quadratic Equations by Factoring
Quadratic EquationsSolving Quadratic Equations by Taking Square Roots
Quadratic EquationsSolving Quadratic Equations by Completing the Square
Quadratic EquationsSolving Quadratic Equations Using the Quadratic Formula
Quadratic EquationsSolving Cubic and Quartic Equations
Quadratic EquationsParabolas and Quadratic Functions
Quadratic EquationsSystems with Quadratic Equations
Quadratic EquationsQuadratic Inequalities

Content by section.

ChapterSection
WelcomeIntroduction
WelcomeWhiteboards and sections
WelcomeQuickchecks
WelcomeKinetic homework
WelcomeKinetic input
WelcomeTools
WelcomeInteractive problems
WelcomeScoring
WelcomeTests and mental math
WelcomeNotes and highlighting
WelcomeOnline homework
WelcomeFinding what you need in this textbook
Introduction to AlgebraIntroduction
Introduction to AlgebraVariables
Introduction to AlgebraEvaluating an algebraic expression
Introduction to AlgebraEvaluating expressions with more than one variable
Introduction to AlgebraGrouping symbols: Parentheses and fractions
Introduction to AlgebraDeciding what to do first: Precedence
Introduction to AlgebraSample problems: Parentheses, fraction bars and precedence
Introduction to AlgebraThe commutative properties of addition and multiplication
Introduction to AlgebraThe associative properties of addition and of multiplication
Introduction to AlgebraInventing an operator
Introduction to AlgebraKinetic homework
Introduction to AlgebraEnd of unit problems
Introduction to AlgebraWriting an algebraic expression
Introduction to AlgebraWriting a more complex algebraic expression
Introduction to AlgebraApplication: Writing an expression for the money in your pocket
Introduction to AlgebraInteractive problems: Matching words and algebraic expressions
Introduction to AlgebraInteractive problems: Change the problem or expression
Introduction to AlgebraCreating a table
Introduction to AlgebraAn expression from a table
Introduction to AlgebraExpressing yourself using tiles
Introduction to AlgebraInteractive problems: Writing algebraic expressions using tiles
Introduction to AlgebraKinetic homework
Introduction to AlgebraEnd of unit problems
Introduction to AlgebraInteractive problems: Writing some more challenging algebraic expressions using tiles
Introduction to AlgebraInteractive problem: Kinetic Books’ Caffeine Tycoon
Introduction to AlgebraAn introduction to equations
Introduction to AlgebraUsing algebra skills to solve a problem
Introduction to AlgebraInteractive problem: Play soccer
Introduction to AlgebraKinetic homework
Introduction to AlgebraEnd of unit problems
Introduction to AlgebraAn introduction to formulas: Areas and perimeter
Introduction to AlgebraApplication: Applying a formula
Introduction to AlgebraChallenge interactive problems: Calculating areas
Introduction to AlgebraApplication: Estimating the circumference of a circle
Introduction to AlgebraDistance, speed and time
Introduction to AlgebraApplication: Mean arterial pressure
Introduction to AlgebraKinetic homework
Introduction to AlgebraEnd of unit problems
Introduction to AlgebraInteractive cooperative problem: Score a goal
Introduction to AlgebraSummary
Introduction to AlgebraPractice chapter test
Introduction to AlgebraStandardized test problems
Operations with Real NumbersIntroduction
Operations with Real NumbersThe number line
Operations with Real NumbersNegative numbers
Operations with Real NumbersSets and types of numbers
Operations with Real NumbersReal numbers on the number line
Operations with Real NumbersInequalities and the number line
Operations with Real NumbersKinetic homework
Operations with Real NumbersEnd of unit problems
Operations with Real NumbersOpposites
Operations with Real NumbersAbsolute value
Operations with Real NumbersAddition on the number line
Operations with Real NumbersAdding signed numbers
Operations with Real NumbersSubtracting signed numbers
Operations with Real NumbersMental math: Adding and subtracting signed numbers
Operations with Real NumbersApplication: Animal highs and lows
Operations with Real NumbersChallenge application: Relative velocity
Operations with Real NumbersAbsolute value and operations
Operations with Real NumbersInteractive problem: Adding and subtracting on a number line
Operations with Real NumbersChallenge interactive problems: Missile commands
Operations with Real NumbersKinetic homework
Operations with Real NumbersEnd of unit problems
Operations with Real NumbersMultiplying signed numbers
Operations with Real NumbersDividing signed numbers
Operations with Real NumbersMental math: Multiplying and dividing signed numbers
Operations with Real NumbersMultiplication and division by zero
Operations with Real NumbersMultiplication and division by –1
Operations with Real NumbersSample problems: Minus signs
Operations with Real NumbersApplication: Falling tide
Operations with Real NumbersInteractive problem: Multiplying and dividing signed numbers
Operations with Real NumbersKinetic homework
Operations with Real NumbersEnd of unit problems
Operations with Real NumbersExponents
Operations with Real NumbersStating exponents in words
Operations with Real NumbersSample problem: Exponents, negative numbers and variables
Operations with Real NumbersExponents and precedence
Operations with Real NumbersSample problem: Order of operations
Operations with Real NumbersKinetic homework
Operations with Real NumbersEnd of unit problems
Operations with Real NumbersEquivalent fractions
Operations with Real NumbersFactoring numbers
Operations with Real NumbersSimplifying fractions
Operations with Real NumbersKinetic homework
Operations with Real NumbersEnd of unit problems
Operations with Real NumbersIdentities and inverses
Operations with Real NumbersDistributive property
Operations with Real NumbersDistribution and rectangles
Operations with Real NumbersSample problems: Distributing negative numbers
Operations with Real NumbersInteractive problems: Bug spray
Operations with Real NumbersChallenge interactive problems: Bug spray
Operations with Real NumbersSubstitution, reflexive, symmetric, and transitive properties
Operations with Real NumbersKinetic homework
Operations with Real NumbersEnd of unit problems
Operations with Real NumbersInductive reasoning
Operations with Real NumbersDeductive reasoning
Operations with Real NumbersEnd of unit problems
Operations with Real NumbersSummary
Operations with Real NumbersPractice chapter test
Operations with Real NumbersStandardized test problems
Solving EquationsIntroduction
Solving EquationsEquivalent equations
Solving EquationsAddition property of equality
Solving EquationsMental math: Solving equations by adding or subtracting a constant
Solving EquationsInteractive problems: A balance scale
Solving EquationsMultiplication property of equality
Solving EquationsSample problems: Negative coefficients
Solving EquationsMental math: Solve equations by multiplying and dividing with negatives
Solving EquationsSolving the equation by isolating the variable
Solving EquationsSample problems: Working with variables
Solving EquationsSkill review: Solving equations
Solving EquationsKinetic homework
Solving EquationsEnd of unit problems
Solving EquationsCombining like terms
Solving EquationsCombining like terms to solve an equation
Solving EquationsSolving an equation using the distributive property
Solving EquationsSample problems: Distributing negative numbers and solving equations
Solving EquationsProperties, identities and solving equations
Solving EquationsNumber of solutions to an equation
Solving EquationsKinetic homework
Solving EquationsEnd of unit problems
Solving EquationsEquations with fractions
Solving EquationsEquations with decimals
Solving EquationsInteractive checkpoint: Decimals and distribution
Solving EquationsKinetic homework
Solving EquationsEnd of unit problems
Solving EquationsEquations with absolute value
Solving EquationsChallenge sample problem: Solving an absolute value equation
Solving EquationsKinetic homework
Solving EquationsEnd of unit problems
Solving EquationsBasic problem-solving skills
Solving EquationsConsecutive number problems
Solving EquationsInteractive problems: Writing equations
Solving EquationsEnd of unit problems
Solving EquationsRunning a metric mile
Solving EquationsTriathlon
Solving EquationsInteractive problems: Play soccer!
Solving EquationsInteractive problems: More soccer!
Solving EquationsChallenge interactive problems: The beavers
Solving EquationsEnd of unit problems
Solving EquationsInteractive problems: Soccer challenges
Solving EquationsTorque
Solving EquationsInteractive problems: Writing equations involving motion
Solving EquationsInteractive problems: Balance a mobile
Solving EquationsChallenge interactive problem: A two-level mobile
Solving EquationsMoney problems
Solving EquationsSample problem: Tax on a blouse
Solving EquationsSample problem: A volume discount
Solving EquationsInteractive problems: Writing equations about money
Solving EquationsKinetic homework
Solving EquationsEnd of unit problems
Solving EquationsThe Bermuda triangle
Solving EquationsSample problem: Using a table to organize scores
Solving EquationsChallenge application: Break-even analysis
Solving EquationsChallenge interactive problems: Writing equations for advanced problems
Solving EquationsEnd of unit problems
Solving EquationsSolving for a variable
Solving EquationsApplication: E = mc²
Solving EquationsKinetic homework
Solving EquationsEnd of unit problems
Solving EquationsInteractive problems: Ciphers
Solving EquationsSummary
Solving EquationsPractice chapter test
Solving EquationsStandardized test problems
Solving EquationsCumulative review: part 1
Solving EquationsCumulative review: part 2
Graphs, Charts, and Data AnalysisIntroduction
Graphs, Charts, and Data AnalysisDot plots
Graphs, Charts, and Data AnalysisHistograms
Graphs, Charts, and Data AnalysisReading a bar chart
Graphs, Charts, and Data AnalysisDrawing a bar chart
Graphs, Charts, and Data AnalysisReading a line graph
Graphs, Charts, and Data AnalysisDrawing a line graph
Graphs, Charts, and Data AnalysisPie charts
Graphs, Charts, and Data AnalysisChoosing an appropriate graph type
Graphs, Charts, and Data AnalysisChallenge: Graphs that “lie”
Graphs, Charts, and Data AnalysisKinetic homework
Graphs, Charts, and Data AnalysisEnd of unit problems
Graphs, Charts, and Data AnalysisCalculating mean, median, and mode
Graphs, Charts, and Data AnalysisInteractive checkpoint: Calculate mean, median, and mode
Graphs, Charts, and Data AnalysisKinetic homework
Graphs, Charts, and Data AnalysisEnd of unit problems
Graphs, Charts, and Data AnalysisStandard deviation
Graphs, Charts, and Data AnalysisStandard deviation formula
Graphs, Charts, and Data AnalysisSample problem: Calculating standard deviation
Graphs, Charts, and Data AnalysisInteractive checkpoint: Calculate standard deviation
Graphs, Charts, and Data AnalysisKinetic homework
Graphs, Charts, and Data AnalysisEnd of unit problems
Graphs, Charts, and Data AnalysisSummary
Graphs, Charts, and Data AnalysisPractice chapter test
Graphs, Charts, and Data AnalysisStandardized test problems
Graphing and Linear EquationsIntroduction
Graphing and Linear EquationsGraphing ordered pairs of numbers
Graphing and Linear EquationsInteractive problem: Fixing a roller coaster
Graphing and Linear EquationsInteractive problem: An introduction to escapism
Graphing and Linear EquationsInteractive problem: Escape 1!
Graphing and Linear EquationsQuadrants
Graphing and Linear EquationsKinetic homework
Graphing and Linear EquationsEnd of unit problems
Graphing and Linear EquationsWhat is a solution to a two-variable equation?
Graphing and Linear EquationsThe number of solutions to a two-variable equation
Graphing and Linear EquationsSolving a two-variable equation with one variable known
Graphing and Linear EquationsKinetic homework
Graphing and Linear EquationsEnd of unit problems
Graphing and Linear EquationsGraphing equations
Graphing and Linear EquationsApplication: Burning calories
Graphing and Linear EquationsLinear and nonlinear equations
Graphing and Linear EquationsGraphing the equation of a line
Graphing and Linear EquationsSample problem: Graphing y = – ¾x – 1
Graphing and Linear EquationsInteractive problems: Graphing linear equations
Graphing and Linear EquationsInteractive problem: Escape 2!
Graphing and Linear EquationsGraphing a nonlinear equation
Graphing and Linear EquationsKinetic homework
Graphing and Linear EquationsEnd of unit problems
Graphing and Linear EquationsThe slope of a line
Graphing and Linear EquationsFormula for slope
Graphing and Linear EquationsKinetic homework
Graphing and Linear EquationsEnd of unit problems
Graphing and Linear EquationsWhat is the role of m in y = mx + b?
Graphing and Linear EquationsSlope and the steepness of a line
Graphing and Linear EquationsWhat is the role of b in y = mx + b?
Graphing and Linear EquationsGraphing equations in slope-intercept form quickly
Graphing and Linear EquationsWriting equations for horizontal and vertical lines
Graphing and Linear EquationsChallenge interactive problems: Escape 3!
Graphing and Linear EquationsFinding the equation with slope and one point known
Graphing and Linear EquationsFinding an equation from two points
Graphing and Linear EquationsApplication: Comparing total car costs
Graphing and Linear EquationsChallenge application: Currency exchange
Graphing and Linear EquationsProof: Slope
Graphing and Linear EquationsChallenge interactive problem: Escape 4!
Graphing and Linear EquationsKinetic homework
Graphing and Linear EquationsEnd of unit problems
Graphing and Linear EquationsGraphing linear equations in general form
Graphing and Linear EquationsDetermining when lines are parallel
Graphing and Linear EquationsDetermining if two lines are perpendicular
Graphing and Linear EquationsRestating equations to check for parallel lines
Graphing and Linear EquationsWriting an equation for a parallel line
Graphing and Linear EquationsWriting an equation for a perpendicular line
Graphing and Linear EquationsKinetic homework
Graphing and Linear EquationsEnd of unit problems
Graphing and Linear EquationsInteractive group problems: Escape!
Graphing and Linear EquationsRate of change
Graphing and Linear EquationsInteractive problem: Rate of change and a graph
Graphing and Linear EquationsPosition-time graphs
Graphing and Linear EquationsInteractive problem: Create a position-time graph
Graphing and Linear EquationsChallenge interactive problem: Controlling motion with velocity
Graphing and Linear EquationsRate of change: Initial conditions
Graphing and Linear EquationsInteractive problem: Initial conditions and rates of change
Graphing and Linear EquationsEnd of unit problems
Graphing and Linear EquationsDrawing a scatter plot
Graphing and Linear EquationsDrawing a scatter plot using a spreadsheet
Graphing and Linear EquationsEntering data in a graphing calculator
Graphing and Linear EquationsDrawing a scatter plot using a graphing calculator
Graphing and Linear EquationsDrawing a trend line
Graphing and Linear EquationsChallenge interactive problem: Trend lines
Graphing and Linear EquationsEnd of unit problems
Graphing and Linear EquationsSummary
Graphing and Linear EquationsPractice chapter test
Graphing and Linear EquationsStandardized test problems
FunctionsIntroduction
FunctionsFunction basics
FunctionsRelations and functions
FunctionsInteractive problems: A table-driven cipher machine
FunctionsFunctions defined by mathematical expressions
FunctionsInteractive problems: An expressive cipher machine
FunctionsFunctions and relations defined by expressions
FunctionsGraphs of functions
FunctionsGraph of a linear function
FunctionsGraph of a nonlinear function
FunctionsDetermining the domain and range from a graph
FunctionsDetermining if a graph represents a function
FunctionsPiecewise functions
FunctionsKinetic homework
FunctionsEnd of unit problems
FunctionsDirect variation
FunctionsChallenge application: Hooke's law and direct variation
FunctionsInverse variation
FunctionsChallenge application: Frequency and wavelength
FunctionsJoint and combined variation
FunctionsKinetic homework
FunctionsEnd of unit problems
FunctionsCombining functions
FunctionsCombining function expressions
FunctionsAdding and subtracting functions graphically
FunctionsShifting function graphs vertically
FunctionsShifting function graphs horizontally
FunctionsScaling function graphs
FunctionsKinetic homework
FunctionsEnd of unit problems
FunctionsComposite functions
FunctionsInverse functions
FunctionsWhen does a function have an inverse function?
FunctionsCalculating an inverse function
FunctionsApplication: Celsius to Fahrenheit and back
FunctionsApplication: Decipher a message
FunctionsInteractive problem: Break the cipher
FunctionsComposite and inverse functions
FunctionsThe graph of a function and its inverse
FunctionsKinetic homework
FunctionsEnd of unit problems
FunctionsSummary
FunctionsPractice chapter test
FunctionsStandardized test problems
FunctionsCumulative review: part 1
FunctionsCumulative review: part 2
Systems of EquationsIntroduction
Systems of EquationsSystems of linear equations
Systems of EquationsInteractive problem: Coins in a piggy bank
Systems of EquationsKinetic homework
Systems of EquationsEnd of unit problems
Systems of EquationsSolving by graphing
Systems of EquationsApplication: Parking fees
Systems of EquationsNumber of solutions to systems of linear equations
Systems of EquationsKinetic homework
Systems of EquationsEnd of unit problems
Systems of EquationsInteractive problem: Supply and demand
Systems of EquationsSolving by elimination
Systems of EquationsSample problem: A problem with numbers
Systems of EquationsSample problem: A problem for the ages
Systems of EquationsSolving by elimination: Multiplication and division
Systems of EquationsSample problem: Solving by elimination
Systems of EquationsSample problem: A problem from a diagram
Systems of EquationsApplication: Chips and juice
Systems of EquationsInteractive checkpoint: More practice with solving by elimination
Systems of EquationsSystems that do not have one solution
Systems of EquationsKinetic homework
Systems of EquationsEnd of unit problems
Systems of EquationsSolving by substitution
Systems of EquationsApplication: Racing cyclists
Systems of EquationsSample problem: How old are Adam and Ben?
Systems of EquationsApplication: Making a necklace
Systems of EquationsChallenge application: Mixing solutions
Systems of EquationsChallenge application: Boat on a river
Systems of EquationsChallenge application: Point of no return
Systems of EquationsInteractive checkpoint: More practice with substitution
Systems of EquationsKinetic homework
Systems of EquationsEnd of unit problems
Systems of EquationsSystems with more than two variables
Systems of EquationsApplication: Prices at a hardware store
Systems of EquationsInteractive checkpoint: Systems with more than two equations
Systems of EquationsKinetic homework
Systems of EquationsEnd of unit problems
Systems of EquationsMatrices and systems of equations
Systems of EquationsTriangular form and row operations
Systems of EquationsSolving a system of equations using a matrix
Systems of EquationsSolving a system of two equations
Systems of EquationsSolving a system of three equations
Systems of EquationsDeterminants
Systems of EquationsCramer’s Rule
Systems of EquationsSolving three equations using Cramer’s rule
Systems of EquationsApplication: Another visit to a hardware store
Systems of EquationsEnd of unit problems
Systems of EquationsSummary
Systems of EquationsPractice chapter test
Systems of EquationsStandardized test problems
InequalitiesIntroduction
InequalitiesSolutions to inequalities
InequalitiesGraphing inequalities on the number line
InequalitiesThe addition property of inequality
InequalitiesThe multiplication property of inequality
InequalitiesMental math: Solving inequalities
InequalitiesSample problems: Using both inequality properties
InequalitiesSample problem: Solving and checking an inequality
InequalitiesTranslating phrases into inequalities
InequalitiesApplication: What score is required for an A1?
InequalitiesApplication: Choosing a long-distance plan
InequalitiesKinetic homework
InequalitiesEnd of unit problems
InequalitiesConjunctions of inequalities
InequalitiesDisjunctions of inequalities
InequalitiesInteractive problems: Writing compound inequalities
InequalitiesSample problem: Solving a compound inequality
InequalitiesChallenge interactive problem: Escape
InequalitiesSet notation
InequalitiesIntersection of sets
InequalitiesUnion of sets
InequalitiesKinetic homework
InequalitiesEnd of unit problems
InequalitiesInequalities with absolute values
InequalitiesSample problem: Solving absolute value inequalities
InequalitiesKinetic homework
InequalitiesEnd of unit problems
InequalitiesSolutions to two-variable linear inequalities
InequalitiesGraphing two-variable linear inequalities
InequalitiesSolving a system of inequalities by graphing
InequalitiesSample problem: A system of inequalities
InequalitiesApplication: Baking cakes
InequalitiesChallenge interactive problems: Slow the monsters
InequalitiesKinetic homework
InequalitiesEnd of unit problems
InequalitiesLinear programming
InequalitiesApplication: Linear programming and planting a garden
InequalitiesInteractive checkpoint: Solve a linear programming problem
InequalitiesKinetic homework
InequalitiesEnd of unit problems
InequalitiesSummary
InequalitiesPractice chapter test
InequalitiesStandardized test problems
ExponentsIntroduction
ExponentsExponents
ExponentsProduct of powers
ExponentsQuotient of powers
ExponentsSample problem: Multiplying and dividing powers
ExponentsDeriving the product and quotient rules
ExponentsNegative exponents
ExponentsZero as an exponent
ExponentsSample problem: Negative exponents and rules of exponents
ExponentsSample problem: Negative exponents in the denominator
ExponentsKinetic homework
ExponentsEnd of unit problems
ExponentsPower of products
ExponentsPower of quotients
ExponentsApplication: Probability
ExponentsSample problem: Combining powers of products and quotients
ExponentsPower of powers
ExponentsDeriving the power rules
ExponentsSample problem: Power of powers
ExponentsSample problem: Applying power rules with negative exponents
ExponentsSample problem: Applying exponent rules “in reverse”
ExponentsMental math: Exponents
ExponentsKinetic homework
ExponentsEnd of unit problems
ExponentsWriting numbers in scientific notation
ExponentsMultiplying numbers in scientific notation
ExponentsDividing numbers in scientific notation
ExponentsSample problem: Multiplying and dividing in scientific notation
ExponentsApplication: Grains of sand
ExponentsAdding and subtracting numbers in scientific notation
ExponentsSample problem: Subtracting and dividing in scientific notation
ExponentsKinetic homework
ExponentsEnd of unit problems
ExponentsUnit prefixes
ExponentsConverting units
ExponentsChallenge application: Estimating Los Angeles’ solar power
ExponentsChallenge application: Estimating the number of atoms in the universe
ExponentsKinetic homework
ExponentsEnd of unit problems
ExponentsSummary
ExponentsPractice chapter test
ExponentsStandardized test problems
PolynomialsIntroduction
PolynomialsMonomials
PolynomialsPolynomials
PolynomialsEvaluating polynomials
PolynomialsPolynomials: Descending order
PolynomialsLike terms
PolynomialsStandard form of a polynomial
PolynomialsSample problem: Putting a long polynomial in standard form
PolynomialsDegree of polynomials
PolynomialsApplication: Pilot accident rate
PolynomialsGraphs of polynomials
PolynomialsGraphing polynomials using a graphing calculator
PolynomialsKinetic homework
PolynomialsEnd of unit problems
PolynomialsAdding polynomials: Horizontal method
PolynomialsAdding polynomials: Vertical method
PolynomialsSubtracting polynomials: Horizontal method
PolynomialsSubtracting polynomials: Vertical method
PolynomialsKinetic homework
PolynomialsEnd of unit problems
PolynomialsMultiplying monomials
PolynomialsMultiplying a binomial by a monomial
PolynomialsMultiplying polynomials
PolynomialsSample problems: Multiplying polynomials
PolynomialsMultiplying polynomials vertically
PolynomialsApplication: Gold leaf
PolynomialsChallenge interactive problems: Expressionistic polynomials
PolynomialsKinetic homework
PolynomialsEnd of unit problems
PolynomialsMultiplying binomials: FOIL
PolynomialsSquares of binomials
PolynomialsProduct of the sum and difference of two terms
PolynomialsSample problems: Multiplying binomials
PolynomialsKinetic homework
PolynomialsEnd of unit problems
PolynomialsDividing a monomial by a monomial
PolynomialsDividing a polynomial by a monomial
PolynomialsSample problem: A quotient that isn’t a polynomial
PolynomialsChallenge application: Archimedes’ tombstone
PolynomialsChallenge application: Archimedes loved tennis
PolynomialsApplication: Irrigation system
PolynomialsKinetic homework
PolynomialsEnd of unit problems
PolynomialsPolynomials with multiple variables
PolynomialsMultivariable polynomials: Like terms
PolynomialsMultivariable polynomials: Combining like terms
PolynomialsEvaluating multivariable polynomials
PolynomialsSample problem: Evaluating with some variables known
PolynomialsOperations with multivariable polynomials
PolynomialsKinetic homework
PolynomialsEnd of unit problems
PolynomialsCommon factors
PolynomialsFactoring x² + bx + c, with b and c positive
PolynomialsFactoring x² + bx + c, with c negative
PolynomialsInteractive problem: Factoring x² + bx + c using a factor box
PolynomialsFactoring x² + bx + c, b is negative, c is positive
PolynomialsSummary: Factoring a trinomial x²+ bx + c
PolynomialsSample problems: Factoring with variables
PolynomialsSample problems: Some trickier factoring
PolynomialsSample problem: Factoring a trinomial that is not a quadratic
PolynomialsMental math: Factoring
PolynomialsYou can’t win them all
PolynomialsKinetic homework
PolynomialsEnd of unit problems
PolynomialsGreatest common factor
PolynomialsFactoring a trinomial with ax² term, a ≠ 1
PolynomialsFactoring a trinomial with ax² term, a ≠ 1, part 2
PolynomialsSample problem: A trinomial with terms that have a common factor
PolynomialsChallenge interactive problems: The perils of polynomials
PolynomialsKinetic homework
PolynomialsEnd of unit problems
PolynomialsDifference of squares
PolynomialsFactoring perfect-square trinomials
PolynomialsKinetic homework
PolynomialsEnd of unit problems
PolynomialsFactoring by grouping
PolynomialsFactoring sum and differences of cubes
PolynomialsKinetic homework
PolynomialsEnd of unit problems
PolynomialsThe zero-product property
PolynomialsSolving equations by factoring
PolynomialsEquation for position as a function of velocity
PolynomialsApplication: A cannonball’s motion
PolynomialsKinetic homework
PolynomialsEnd of unit problems
PolynomialsSummary
PolynomialsPractice chapter test
PolynomialsStandardized test problems
PolynomialsCumulative review: Part 1
PolynomialsCumulative review: Part 2
PolynomialsCumulative review: Part 3
Rational Expressions and EquationsIntroduction
Rational Expressions and EquationsRational expressions
Rational Expressions and EquationsSimplifying rational expressions by canceling common factors
Rational Expressions and EquationsSimplifying rational expressions: Factoring out a common factor
Rational Expressions and EquationsSimplifying rational expressions: Factoring trinomials
Rational Expressions and EquationsSimplifying rational expressions by factoring out –1
Rational Expressions and EquationsInteractive problems: The calculator
Rational Expressions and EquationsApplication: Calculating oxygen saturation
Rational Expressions and EquationsKinetic homework
Rational Expressions and EquationsEnd of unit problems
Rational Expressions and EquationsMultiplying rational expressions
Rational Expressions and EquationsSample problems: Multiplying rational expressions
Rational Expressions and EquationsInteractive problems: The calculator
Rational Expressions and EquationsDividing rational expressions
Rational Expressions and EquationsSample problems: Dividing rational expressions
Rational Expressions and EquationsChallenge sample problem: More difficult division
Rational Expressions and EquationsApplication: The area of a rectangle
Rational Expressions and EquationsKinetic homework
Rational Expressions and EquationsEnd of unit problems
Rational Expressions and EquationsAdding rational expressions with a common denominator
Rational Expressions and EquationsSubtracting rational expressions with a common denominator
Rational Expressions and EquationsAdding and subtracting rational expressions with different denominators
Rational Expressions and EquationsSample problem: Factoring after adding
Rational Expressions and EquationsInteractive problems: The calculator
Rational Expressions and EquationsKinetic homework
Rational Expressions and EquationsEnd of unit problems
Rational Expressions and EquationsLeast common multiple
Rational Expressions and EquationsAdding and subtracting with the least common denominator
Rational Expressions and EquationsKinetic homework
Rational Expressions and EquationsEnd of unit problems
Rational Expressions and EquationsLong division of polynomials
Rational Expressions and EquationsLong division of polynomials with remainder
Rational Expressions and EquationsKinetic homework
Rational Expressions and EquationsEnd of unit problems
Rational Expressions and EquationsComplex rational expressions
Rational Expressions and EquationsSample problem: A complex rational expression
Rational Expressions and EquationsChallenge: Using the LCM to simplify complex rational expressions
Rational Expressions and EquationsKinetic homework
Rational Expressions and EquationsEnd of unit problems
Rational Expressions and EquationsRational equations
Rational Expressions and EquationsExtraneous solutions
Rational Expressions and EquationsSample problem: Rational reciprocals
Rational Expressions and EquationsSample problem: A fast driver
Rational Expressions and EquationsApplication: Resistors
Rational Expressions and EquationsRate problems
Rational Expressions and EquationsSample problem: Rate of work
Rational Expressions and EquationsChallenge interactive problems: Rational beavers
Rational Expressions and EquationsChallenge interactive problems: Rational beavers encore
Rational Expressions and EquationsChallenge: A graph of a rational expression
Rational Expressions and EquationsKinetic homework
Rational Expressions and EquationsEnd of unit problems
Rational Expressions and EquationsSolving rational inequalities
Rational Expressions and EquationsSample problem: Rational inequality
Rational Expressions and EquationsSample problem: A rational inequality with three boundary points
Rational Expressions and EquationsInteractive checkpoint: Solve a rational inequality
Rational Expressions and EquationsKinetic homework
Rational Expressions and EquationsEnd of unit problems
Rational Expressions and EquationsSummary
Rational Expressions and EquationsPractice chapter test
Rational Expressions and EquationsStandardized test problems
Radical Expressions and EquationsIntroduction
Radical Expressions and EquationsSquare roots
Radical Expressions and EquationsRadical expressions
Radical Expressions and EquationsSquare roots of perfect squares
Radical Expressions and EquationsSample problem: Simplifying a perfect square radical expression
Radical Expressions and EquationsProof: Irrationality of √2
Radical Expressions and EquationsCube roots
Radical Expressions and EquationsKinetic homework
Radical Expressions and EquationsEnd of unit problems
Radical Expressions and EquationsProduct rule for radicals
Radical Expressions and EquationsSimplifying radicals using the product rule
Radical Expressions and EquationsSample problems: Simplifying radicals
Radical Expressions and EquationsSample problem: Multiplying and simplifying radical expressions
Radical Expressions and EquationsInteractive problems: Radical mobiles
Radical Expressions and EquationsMental math: Perfect squares
Radical Expressions and EquationsKinetic homework
Radical Expressions and EquationsEnd of unit problems
Radical Expressions and EquationsQuotient rule for radicals
Radical Expressions and EquationsSample problems: Dividing radicals
Radical Expressions and EquationsRationalizing the denominator
Radical Expressions and EquationsSample problem: Simplifying the square root of a fraction
Radical Expressions and EquationsSample problem: More about simplifying radicals
Radical Expressions and EquationsSummary: Simplifying radical expressions
Radical Expressions and EquationsKinetic homework
Radical Expressions and EquationsEnd of unit problems
Radical Expressions and EquationsAdding and subtracting like radicals
Radical Expressions and EquationsSample problem: Adding and subtracting radical expressions
Radical Expressions and EquationsInteractive problems: More radical mobiles
Radical Expressions and EquationsMultiplying binomial radical expressions
Radical Expressions and EquationsSample problem: Simplifying binomial radical expressions
Radical Expressions and EquationsChallenge interactive problems: Even more radical mobiles
Radical Expressions and EquationsKinetic homework
Radical Expressions and EquationsEnd of unit problems
Radical Expressions and EquationsRadical conjugates
Radical Expressions and EquationsRationalizing a denominator with a radical sum or difference
Radical Expressions and EquationsKinetic homework
Radical Expressions and EquationsEnd of unit problems
Radical Expressions and EquationsApplication: Period of a pendulum
Radical Expressions and EquationsPythagorean theorem
Radical Expressions and EquationsApplication: Raising the roof
Radical Expressions and EquationsThe distance formula
Radical Expressions and EquationsApplication: Firing a cannon
Radical Expressions and EquationsChallenge interactive problem: Soccer
Radical Expressions and EquationsKinetic homework
Radical Expressions and EquationsEnd of unit problems
Radical Expressions and EquationsInteractive problem: Supply the cannon
Radical Expressions and EquationsSquaring principle
Radical Expressions and EquationsExtraneous solutions
Radical Expressions and EquationsSample problem: Solving an equation with one radical
Radical Expressions and EquationsSolving equations with two radicals
Radical Expressions and EquationsApplication: Range of a cannon
Radical Expressions and EquationsApplication: Speed of sound
Radical Expressions and EquationsKinetic homework
Radical Expressions and EquationsEnd of unit problems
Radical Expressions and EquationsEquations with nested radicals
Radical Expressions and EquationsSample problem: Two radicals and a constant
Radical Expressions and EquationsSample problem: Variable on two sides of equation
Radical Expressions and EquationsKinetic homework
Radical Expressions and EquationsEnd of unit problems
Radical Expressions and Equationsnth roots
Radical Expressions and EquationsProduct and quotient properties
Radical Expressions and EquationsRationalizing the denominator with an index greater than 2
Radical Expressions and EquationsPower principle to solve equations
Radical Expressions and EquationsKinetic homework
Radical Expressions and EquationsEnd of unit problems
Radical Expressions and EquationsExponent notation for roots
Radical Expressions and EquationsEvaluating expressions with fractional exponents
Radical Expressions and EquationsRules of exponents
Radical Expressions and EquationsDerivation of roots as powers
Radical Expressions and EquationsMultiplying and dividing radicals with different indices but same radicand
Radical Expressions and EquationsFractional exponents with numerators other than 1
Radical Expressions and EquationsSample problem: Simplifying fractional exponents
Radical Expressions and EquationsSample problem: Rules of exponents and fractional exponents
Radical Expressions and EquationsKinetic homework
Radical Expressions and EquationsEnd of unit problems
Radical Expressions and EquationsImaginary and complex numbers
Radical Expressions and EquationsAdding and subtracting complex numbers
Radical Expressions and EquationsMultiplying complex numbers
Radical Expressions and EquationsMultiplying radicals with negative radicands
Radical Expressions and EquationsComplex conjugates
Radical Expressions and EquationsDividing complex numbers
Radical Expressions and EquationsKinetic homework
Radical Expressions and EquationsEnd of unit problems
Radical Expressions and EquationsSummary
Radical Expressions and EquationsPractice chapter test
Radical Expressions and EquationsStandardized test problems
Quadratic EquationsIntroduction
Quadratic EquationsQuadratic equations
Quadratic EquationsStating a quadratic equation in standard form
Quadratic EquationsSolving by factoring: Common factors
Quadratic EquationsSolving by factoring: Trinomials
Quadratic EquationsSample problem: Solving by factoring
Quadratic EquationsSolving by factoring: Difference of two squares
Quadratic EquationsSample problem: Writing quadratic equations
Quadratic EquationsApplication: A right triangle
Quadratic EquationsApplication: Round robin tournament
Quadratic EquationsApplication: In the park
Quadratic EquationsKinetic homework
Quadratic EquationsEnd of unit problems
Quadratic EquationsThe square root principle
Quadratic EquationsQuadratic equations with irrational solutions
Quadratic EquationsSample problem: Solving a quadratic equation with a squared expression
Quadratic EquationsApplication problem: Free fall
Quadratic EquationsSample problem: Solving a quadratic equation using the square root principle
Quadratic EquationsApplication: Body mass index
Quadratic EquationsKinetic homework
Quadratic EquationsEnd of unit problems
Quadratic EquationsCompleting the square
Quadratic EquationsSolving a quadratic equation by completing the square
Quadratic EquationsSample problem: Completing the square
Quadratic EquationsSample problem: An equation that cannot be solved by factoring
Quadratic EquationsKinetic homework
Quadratic EquationsEnd of unit problems
Quadratic EquationsThe quadratic formula
Quadratic EquationsApplication: Compound interest
Quadratic EquationsApplication: What is the interest rate?
Quadratic EquationsCompleting the square to derive the quadratic formula
Quadratic EquationsQuadratic formula and irrational roots
Quadratic EquationsSolving a rational equation using the quadratic formula
Quadratic EquationsSummary: Methods of solving quadratic equations
Quadratic EquationsApplication: Up and down the Mississippi
Quadratic EquationsApplication: The golden ratio
Quadratic EquationsChallenge interactive problems: Expressionistic art
Quadratic EquationsKinetic homework
Quadratic EquationsEnd of unit problems
Quadratic EquationsSolving cubic equations by factoring out a common factor
Quadratic EquationsSample problem: Solving a cubic equation using the quadratic formula
Quadratic EquationsSolving quartic equations
Quadratic EquationsSample problem: Solving a fifth-degree equation
Quadratic EquationsKinetic homework
Quadratic EquationsEnd of unit problems
Quadratic EquationsReview: Evaluating quadratic functions
Quadratic EquationsThe parabola
Quadratic EquationsGraphing a parabola
Quadratic EquationsSolving quadratic equations graphically
Quadratic EquationsFinding the x-intercepts of a parabola
Quadratic EquationsSample problems: Graphs and solutions to quadratic equations
Quadratic EquationsThe discriminant
Quadratic EquationsSample problem: Finding the discriminant
Quadratic EquationsKinetic homework
Quadratic EquationsEnd of unit problems
Quadratic EquationsNonlinear systems of equations
Quadratic EquationsApplication: Dimensions of a rectangle
Quadratic EquationsKinetic homework
Quadratic EquationsEnd of unit problems
Quadratic EquationsSolving quadratic inequalities
Quadratic EquationsSample problem: Solving a quadratic inequality
Quadratic EquationsKinetic homework
Quadratic EquationsEnd of unit problems
Quadratic EquationsSummary
Quadratic EquationsPractice chapter test
Quadratic EquationsStandardized test problems
Quadratic EquationsCumulative review: Part 1
Quadratic EquationsCumulative review: Part 2
Quadratic EquationsCumulative review: Part 3
Quadratic EquationsCumulative review: Part 4
Arithmetic ReviewIntroduction
Arithmetic ReviewPlace value
Arithmetic ReviewAdding large numbers
Arithmetic ReviewSubtracting large numbers
Arithmetic ReviewMultiplying with a number 10 or larger
Arithmetic ReviewMultiplying two numbers larger than 10
Arithmetic ReviewLong division
Arithmetic ReviewMore long division
Arithmetic ReviewKinetic homework
Arithmetic ReviewStandardized test problems
Fractions, Decimals and PercentsIntroduction
Fractions, Decimals and PercentsFraction basics
Fractions, Decimals and PercentsFractions equal to 1 or greater
Fractions, Decimals and PercentsMixed numbers
Fractions, Decimals and PercentsKinetic homework
Fractions, Decimals and PercentsMultiplying a fraction and a whole number
Fractions, Decimals and PercentsMultiplying two fractions
Fractions, Decimals and PercentsReciprocals
Fractions, Decimals and PercentsDividing fractions
Fractions, Decimals and PercentsAdding and subtracting fractions with common denominator
Fractions, Decimals and PercentsAdding and subtracting fractions with different denominators
Fractions, Decimals and PercentsKinetic homework
Fractions, Decimals and PercentsAdding and subtracting fractions using least common denominator
Fractions, Decimals and PercentsKinetic homework
Fractions, Decimals and PercentsIntroduction to decimals
Fractions, Decimals and PercentsConverting decimals to fractions
Fractions, Decimals and PercentsConverting fractions to decimals
Fractions, Decimals and PercentsAdding and subtracting decimals
Fractions, Decimals and PercentsMultiplying decimals
Fractions, Decimals and PercentsDividing with decimals
Fractions, Decimals and PercentsPercents
Fractions, Decimals and PercentsKinetic homework
Fractions, Decimals and PercentsStandardized test problems
Initial AssessmentInitial assessment

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