Test Bank for College Algebra with Intermediate Algebra 1st edition by Judith Beeche,Judith Penna,Barbara Johnson,Marvin Bittinger – Ebook PDF Instant Download/Delivery:0134555260,9780134555263
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ISBN 10:0134555260
ISBN 13:9780134555263
Author:Judith Beeche,Judith Penna,Barbara Johnson,Marvin Bittinger
For courses in Intermediate and College Algebra. Intermediate through College Algebra: A Streamlined Experience College Algebra with Intermediate Algebra: A Blended Course is an innovative new program from the Beecher et al. author team. Designed to meet your changing needs in Intermediate Algebra and College Algebra courses, this program eliminates the repetition in topic coverage across the traditional, two-course sequence. The result is a streamlined course experience that makes better use of time and resources. The careful arrangement of topics—one building on the next without redundancy—motivates and creates a solid foundation of knowledge. This new, streamlined approach to these courses is complemented by the authors’ innovative ability to help you “see the math” through their focus on visualization, early introduction to functions and graphing, and making connections between math concepts and the real world.
College Algebra with Intermediate Algebra 1st Table of contents:
Part 1 Operations R.1 The Set of Real Numbers
a Set Notation and the Set of Real Numbers
b Order for the Real Numbers
c Graphing Inequalities on the Number Line
d Absolute Value
R.1 Exercise Set
Reading Check
Synthesis
R.2 Operations with Real Numbers
a Addition
b Opposites, or Additive Inverses
Signs of Numbers
c Subtraction
d Multiplication
e Division
Excluding Division by Zero
Division and Reciprocals
R.2 Exercise Set
Reading Check
Skill Maintenance
Synthesis
R.3 Exponential Notation and Order of Operations
a Exponential Notation
b Negative Integers as Exponents
c Order of Operations
R.3 Exercise Set
Reading Check
Skill Maintenance
Synthesis
Part 2 Manipulations R.4 Introduction to Algebraic Expressions
a Translating to Algebraic Expressions
b Evaluating Algebraic Expressions
R.4 Exercise Set
Reading Check
Skill Maintenance
Synthesis
R.5 Equivalent Algebraic Expressions
a Equivalent Expressions
b Equivalent Fraction Expressions
c The Commutative Laws and the Associative Laws
d The Distributive Laws
Multiplying Expressions with Variables
Factoring Expressions with Variables
R.5 Exercise Set
Reading Check
Skill Maintenance
Synthesis
R.6 Simplifying Algebraic Expressions
a Collecting Like Terms
b Multiplying by −1 and Removing Parentheses
R.6 Exercise Set
Reading Check
Skill Maintenance
Synthesis
R.7 Properties of Exponents and Scientific Notation
a Multiplication and Division
b Raising Powers to Powers and Products and Quotients to Powers
c Scientific Notation
R.7 Exercise Set
Reading Check
Skill Maintenance
Synthesis
Chapter R Summary and Review
Vocabulary Reinforcement
Concept Reinforcement
Review Exercises
Part 1 Operations
Part 2 Manipulations
Synthesis
Collaborative Discussion and Writing
R Chapter Test
Part 1 Operations
Part 2 Manipulations
Synthesis
Chapter 1 Solving Linear Equations and Inequalities
1.1 Solving Equations
a Equations and Solutions
Equivalent Equations
b The Addition Principle
c The Multiplication Principle
d Using the Principles Together
Special Cases
Equations Containing Parentheses
1.1 Exercise Set
Reading Check
Skill Maintenance
Synthesis
1.2 Formulas and Applications
a Evaluating and Solving Formulas
1.2 Exercise Set
Reading Check
Skill Maintenance
Synthesis
1.3 Applications and Problem Solving
a Five Steps for Problem Solving
b Basic Motion Problems
1.3 Exercise Set
Reading Check
Skill Maintenance
Synthesis
Mid-Chapter Review
Collaborative Discussion and Writing
1.4 Sets, Inequalities, and Interval Notation
a Inequalities
b Inequalities and Interval Notation
c Solving Inequalities
d Applications and Problem Solving
1.4 Exercise Set
Reading Check
Skill Maintenance
Synthesis
1.5 Intersections, Unions, and Compound Inequalities
a Intersections of Sets and Conjunctions of Inequalities
b Unions of Sets and Disjunctions of Inequalities
c Applications and Problem Solving
1.5 Exercise Set
Reading Check
Skill Maintenance
Synthesis
1.6 Absolute-Value Equations and Inequalities
a Properties of Absolute Value
b Distance on the Number Line
c Equations with Absolute Value
d Equations with Two Absolute-Value Expressions
e Inequalities with Absolute Value
1.6 Exercise Set
Reading Check
Skill Maintenance
Synthesis
Chapter 1 Summary and Review
Vocabulary Reinforcement
Concept Reinforcement
Study Guide
Objective 1.1a
Example
Practice Exercise
Objective 1.1d
Example
Practice Exercise
Objective 1.2a
Example
Practice Exercise
Objective 1.4a
Example
Practice Exercise
Objective 1.4b
Example
Practice Exercise
Objective 1.4c
Example
Practice Exercise
Objective 1.5a
Example
Practice Exercise
Objective 1.5b
Example
Practice Exercise
Objective 1.6a
Example
Practice Exercise
Objective 1.6b
Example
Practice Exercise
Objective 1.6c
Example
Practice Exercise
Objective 1.6d
Example
Practice Exercise
Objective 1.6e
Example
Practice Exercise
Review Exercises
Synthesis
Collaborative Discussion and Writing
1 Chapter Test
Synthesis
Chapter 2 Graphs, Functions, and Applications
2.1 Graphs of Equations
a Plotting Ordered Pairs
Quadrants
b Solutions of Equations
c Graphs of Linear Equations
d Graphing Nonlinear Equations
2.1 Exercise Set
Reading Check
Skill Maintenance
Synthesis
2.2 Functions and Graphs
a Identifying Functions
b Finding Function Values
c Graphs of Functions
d The Vertical-Line Test
e Applications of Functions and Their Graphs
2.2 Exercise Set
Reading Check
Skill Maintenance
Synthesis
2.3 Finding Domain and Range
a Finding Domain and Range
Functions: A Review
2.3 Exercise Set
Reading Check
Skill Maintenance
Synthesis
2.4 The Algebra of Functions
a The Sum, Difference, Product, or Quotient of Two Functions
b Determining Domain
2.4 Exercise Set
Reading Check
Skill Maintenance
Synthesis
Mid-Chapter Review
Collaborative Discussion and Writing
2.5 Linear Functions: Graphs and Slope
a The Constant b: The y-Intercept
b The Constant m: Slope
c Applications
2.5 Exercise Set
Reading Check
Skill Maintenance
2.6 More on Graphing Linear Equations
a Graphing Using Intercepts
b Graphing Using the Slope and the y-Intercept
c Horizontal Lines and Vertical Lines
d Parallel Lines and Perpendicular Lines
Parallel Lines
Perpendicular Lines
2.6 Exercise Set
Reading Check
Skill Maintenance
Synthesis
2.7 Finding Equations of Lines; Applications
a Finding an Equation of a Line When the Slope and the y-Intercept Are Given
b Finding an Equation of a Line When the Slope and a Point Are Given
c Finding an Equation of a Line When Two Points Are Given
d Finding an Equation of a Line Parallel or Perpendicular to a Given Line Through a Point Not on the Line
e Applications of Linear Functions
2.7 Exercise Set
Reading Check
Skill Maintenance
Synthesis
Chapter 2 Summary and Review
Vocabulary Reinforcement
Concept Reinforcement
Study Guide
Objective 2.2a Determine whether a correspondence is a function.
Practice Exercise
Objective 2.2b Given a function described by an equation, find function values (outputs) for specified values (inputs).
Example
Practice Exercise
Objective 2.2c Draw the graph of a function.
Example
Practice Exercise
Objective 2.2d Determine whether a graph is that of a function using the vertical-line test.
Example
Practice Exercise
Objective 2.3a Find the domain and the range of a function.
Practice Exercises
Objective 2.4a Given two functions f and g, find their sum, difference, product, and quotient.
Practice Exercise
Objective 2.4b For a pair of functions f and g, determine the domain of f + g, f ‒ g, f ⋅ g, and f/g.
Practice Exercise
Objective 2.5b Given two points on a line, find the slope. Given a linear equation, derive the equivalent slope–intercept equation and determine the slope and the y-intercept.
Practice Exercises
Objective 2.6a Graph linear equations using intercepts.
Practice Exercise
Objective 2.6b Given a linear equation in slope–intercept form, use the slope and the y-intercept to graph the line.
Practice Exercise
Objective 2.6c Graph linear equations of the form x = a or y = b.
Practice Exercises
Objective 2.6d Given the equations of two lines, determine whether their graphs are parallel or whether they are perpendicular.
Practice Exercises
Objective 2.7a Find an equation of a line when the slope and the y-intercept are given.
Practice Exercise
Objective 2.7b Find an equation of a line when the slope and a point are given.
Practice Exercise
Objective 2.7c Find an equation of a line when two points are given.
Practice Exercise
Objective 2.7d Given a line and a point not on the given line, find an equation of the line parallel to the line and containing the point, and find an equation of the line perpendicular to the line and containing the point.
Practice Exercises
Review Exercises
Synthesis
Collaborative Discussion and Writing
2 Chapter Test
Synthesis
Chapter 3 Systems of Equations
3.1 Systems of Equations in Two Variables
a Solving Systems of Equations Graphically
One Solution
No Solution
Infinitely Many Solutions
3.1 Exercise Set
Reading Check
Skill Maintenance
Synthesis
3.2 Solving by Substitution
a The Substitution Method
b Solving Applied Problems Involving Two Equations
3.2 Exercise Set
Reading Check
Skill Maintenance
Synthesis
3.3 Solving by Elimination
a The Elimination Method
Comparing Methods
b Solving Applied Problems Using Elimination
3.3 Exercise Set
Reading Check
Skill Maintenance
Synthesis
3.4 Solving Applied Problems: Two Equations
a Total-Value Problems and Mixture Problems
b Motion Problems
3.4 Exercise Set
Reading Check
Skill Maintenance
Synthesis
Mid-Chapter Review
Collaborative Discussion and Writing
3.5 Systems of Equations in Three Variables
a Solving Systems in Three Variables
3.5 Exercise Set
Reading Check
Skill Maintenance
Synthesis
3.6 Solving Applied Problems: Three Equations
a Using Systems of Three Equations
3.6 Exercise Set
Reading Check
Skill Maintenance
Synthesis
3.7 Systems of Inequalities and Linear Programming
a Graphs of Linear Inequalities
b Systems of Linear Inequalities
c Applications: Linear Programming
3.7 Exercise Set
Skill Maintenance
Synthesis
Chapter 3 Summary and Review
Vocabulary Reinforcement
Concept Reinforcement
Study Guide
Objective 3.1a
Example
Practice Exercise
Objective 3.2a
Example
Practice Exercise
Objective 3.3a
Example
Practice Exercise
Objective 3.4a
Example
Practice Exercise
Objective 3.5a
Example
Practice Exercise
Objective 3.7a
Example
Practice Exercise
Objective 3.7b
Example
Practice Exercise
Objective 3.7c
Example
Practice Exercise
Review Exercises
Synthesis
Collaborative Discussion and Writing
3 Chapter Test
Synthesis
Chapter 4 Polynomials and Polynomial Functions
4.1 Introduction to Polynomials and Polynomial Functions
a Polynomial Expressions
b Evaluating Polynomial Functions
c Adding Polynomials
d Subtracting Polynomials
4.1 Exercise Set
Reading Check
Skill Maintenance
Synthesis
4.2 Multiplication of Polynomials
a Multiplication of any Two Polynomials
Multiplying Monomials
Multiplying Monomials and Binomials
Multiplying Binomials
Multiplying Any Two Polynomials
b Product of Two Binomials Using the FOIL Method
c Squares of Binomials
d Products of Sums and Differences
e Using Function Notation
4.2 Exercise Set
Reading Check
Skill Maintenance
Synthesis
4.3 Introduction to Factoring
a Terms with Common Factors
b Factoring by Grouping
4.3 Exercise Set
Reading Check
Skill Maintenance
Synthesis
4.4 Factoring Trinomials: x2+bx+c
a Factoring Trinomials: x2+bx+c
Constant Term Positive
Constant Term Negative
Leading Coefficient of -1
4.4 Exercise Set
Reading Check
Skill Maintenance
Synthesis
Mid-Chapter Review
Collaborative Discussion and Writing
4.5 Factoring Trinomials: ax2+bx+c, a≠1
a The FOIL Method
b The ac–Method
4.5 Exercise Set
Reading Check
Skill Maintenance
Synthesis
4.6 Special Factoring
a Trinomial Squares
b Differences of Squares
c More Factoring by Grouping
d Sums or Differences of Cubes
4.6 Exercise Set
Reading Check
Skill Maintenance
Synthesis
4.7 Factoring: A General Strategy
a A General Factoring Strategy
4.7 Exercise Set
Reading Check
Skill Maintenance
Synthesis
4.8 Applications of Polynomial Equations and Functions
a The Principle of Zero Products
b Applications and Problem Solving
4.8 Exercise Set
Reading Check
Skill Maintenance
Synthesis
Chapter 4 Summary and Review
Vocabulary Reinforcement
Concept Reinforcement
Study Guide
Objective 4.1a
Example
Practice Exercise
Objective 4.1d
Example
Practice Exercise
Objective 4.2b
Example
Practice Exercise
Objective 4.2c
Example
Practice Exercise
Objective 4.2d
Example
Practice Exercise
Objective 4.2e
Example
Practice Exercise
Objective 4.3b
Example
Practice Exercise
Objective 4.5a
Example
Practice Exercise
Objective 4.5b
Example
Practice Exercise
Objective 4.6a
Example
Practice Exercise
Objective 4.6b
Example
Practice Exercise
Objective 4.6d
Example
Example
Practice Exercises
Objective 4.8a
Example
Practice Exercise
Review Exercises
Synthesis
Collaborative Discussion and Writing
4 Chapter Test
Synthesis
Chapter 5 Rational Expressions, Equations, and Functions
5.1 Rational Expressions and Functions: Multiplying, Dividing, and Simplifying
a Rational Expressions and Functions
b Finding Equivalent Rational Expressions
c Simplifying Rational Expressions
Canceling
Opposites in Rational Expressions
d Multiplying and Simplifying
e Dividing and Simplifying
5.1 Exercise Set
Reading Check
Skill Maintenance
Synthesis
5.2 LCMs, LCDs, Addition, and Subtraction
a Finding LCMs by Factoring
b Adding and Subtracting Rational Expressions
Denominators That Are Opposites
c Combined Additions and Subtractions
5.2 Exercise Set
Reading Check
Skill Maintenance
Synthesis
5.3 Division of Polynomials
a Divisor a Monomial
b Divisor Not a Monomial
c Synthetic Division
5.3 Exercise Set
Reading Check
Skill Maintenance
Synthesis
5.4 Complex Rational Expressions
a Simplifying Complex Rational Expressions
Method 1: Multiplying by the LCM of All the Denominators
Method 2: Adding or Subtracting in the Numerator and the Denominator
b Difference Quotients
5.4 Exercise Set
Reading Check
Skill Maintenance
Synthesis
Mid-Chapter Review
Collaborative Discussion and Writing
5.5 Solving Rational Equations
a Rational Equations
5.5 Exercise Set
Reading Check
Skill Maintenance
Synthesis
5.6 Applications and Proportions
a Work Problems
b Applications Involving Proportions
c Motion Problems
5.6 Exercise Set
Reading Check
Skill Maintenance
Synthesis
5.7 Formulas and Applications
a Formulas
5.7 Exercise Set
Reading Check
Skill Maintenance
Synthesis
5.8 Variation and Applications
a Equations of Direct Variation
b Applications of Direct Variation
c Equations of Inverse Variation
d Applications of Inverse Variation
e Other Kinds of Variation
f Other Applications of Variation
5.8 Exercise Set
Reading Check
Skill Maintenance
Synthesis
Chapter 5 Summary and Review
Vocabulary Reinforcement
Concept Reinforcement
Study Guide
Review Exercises
Synthesis
Collaborative Discussion and Writing
5 Chapter Test
Synthesis
Chapter 6 Radical Expressions, Equations, and Functions
6.1 Radical Expressions and Functions
a Square Roots and Square-Root Functions
b Finding a2
c Cube Roots
d Odd and Even kth Roots
Odd Roots
Even Roots
6.1 Exercise Set
Reading Check
Skill Maintenance
Synthesis
6.2 Rational Numbers as Exponents
a Rational Exponents
b Negative Rational Exponents
c Laws of Exponents
d Simplifying Radical Expressions
6.2 Exercise Set
Reading Check
Skill Maintenance
Synthesis
6.3 Simplifying Radical Expressions
a Multiplying and Simplifying Radical Expressions
b Dividing and Simplifying Radical Expressions
6.3 Exercise Set
Reading Check
Skill Maintenance
Synthesis
6.4 Addition, Subtraction, and More Multiplication
a Addition and Subtraction
b More Multiplication
6.4 Exercise Set
Reading Check
Skill Maintenance
Synthesis
Mid-Chapter Review
Collaborative Discussion and Writing
6.5 More on Division of Radical Expressions
a Rationalizing Denominators
b Rationalizing When There Are Two Terms
6.5 Exercise Set
Reading Check
Skill Maintenance
Synthesis
6.6 Solving Radical Equations
a The Principle of Powers
b Equations with Two Radical Terms
c Applications
6.6 Exercise Set
Reading Check
Skill Maintenance
Synthesis
6.7 Applications Involving Powers and Roots
a Applications
6.7 Exercise Set
Reading Check
Skill Maintenance
Synthesis
6.8 Increasing, Decreasing, and Piecewise Functions; Applications
a Increasing, Decreasing, and Constant Functions
b Relative Maximum and Minimum Values
c Applications of Functions
d Functions Defined Piecewise
6.8 Exercise Set
Reading Check
Skill Maintenance
Synthesis
Chapter 6 Summary and Review
Vocabulary Reinforcement
Concept Reinforcement
Study Guide
Objective 6.1b
Example
Example
Practice Exercises
Objective 6.2a
Example
Example
Practice Exercises
Objective 6.2b
Example
Practice Exercise
Objective 6.2d
Example
Practice Exercise
Objective 6.3a
Example
Practice Exercise
Objective 6.3b
Example
Practice Exercise
Objective 6.4a
Example
Practice Exercise
Objective 6.4b
Example
Practice Exercise
Objective 6.6a
Example
Practice Exercise
Objective 6.6b
Example
Practice Exercise
Objective 6.8a
Example
Practice Exercise
Objective 6.8b
Example
Practice Exercise
Objective 6.8c
Practice Exercise
Objective 6.8d
Practice Exercise
Review Exercises
Synthesis
Collaborative Discussion and Writing
6 Chapter Test
Synthesis
Chapter 7 Quadratic Functions and Equations
7.1 Symmetry
Symmetry
Even Functions and Odd Functions
7.1 Exercise Set
Skill Maintenance
Synthesis
7.2 Transformations
Transformations of Functions
Vertical Translations and Horizontal Translations
Reflections
Vertical and Horizontal Stretchings and Shrinkings
7.2 Exercise Set
Skill Maintenance
Synthesis
7.3 The Complex Numbers
The Complex-Number System
Addition and Subtraction
Multiplication
Conjugates and Division
7.3 Exercise Set
Skill Maintenance
Vocabulary Reinforcement
Synthesis
Mid-Chapter Review
Collaborative Discussion and Writing
7.4 Quadratic Equations, Functions, Zeros, and Models
Quadratic Equations and Quadratic Functions
Completing the Square
Using the Quadratic Formula
The Discriminant
Equations Reducible to Quadratic
Applications
7.4 Exercise Set
Skill Maintenance
Synthesis
7.5 Analyzing Graphs of Quadratic Functions
Graphing Quadratic Functions of the Type f(x)=a(x−h)2+k
Graphing Quadratic Functions of the Type f(x) = ax2+bx+c, a≠0
Applications
7.5 Exercise Set
Skill Maintenance
Synthesis
Chapter 7 Summary and Review
Study Guide
Review Exercises
Synthesis
Collaborative Discussion and Writing
7 Chapter Test
Synthesis
Chapter 8 Polynomial Functions and Rational Functions
8.1 Polynomial Functions and Models
The Leading-Term Test
Even Degree
Odd Degree
Finding Zeros of Polynomial Functions
Polynomial Models
8.1 Exercise Set
Skill Maintenance
Synthesis
8.2 Graphing Polynomial Functions
Graphing Polynomial Functions
The Intermediate Value Theorem
8.2 Exercise Set
Skill Maintenance
8.3 Polynomial Division; The Remainder Theorem and the Factor Theorem
Division and Factors
The Remainder Theorem and Synthetic Division
Finding Factors of Polynomials
8.3 Exercise Set
Skill Maintenance
Synthesis
Mid-Chapter Review
Collaborative Discussion and Writing
8.4 Theorems about Zeros of Polynomial Functions
The Fundamental Theorem of Algebra
Finding Polynomials with Given Zeros
Zeros of Polynomial Functions with Real Coefficients
Rational Coefficients
Integer Coefficients and the Rational Zeros Theorem
Descartes’ Rule of Signs
8.4 Exercise Set
Skill Maintenance
Synthesis
8.5 Rational Functions
The Domain of a Rational Function
Asymptotes
Vertical Asymptotes
Horizontal Asymptotes
Oblique Asymptotes
Applications
8.5 Exercise Set
Skill Maintenance
Vocabulary Reinforcement
Synthesis
8.6 Polynomial Inequalities and Rational Inequalities
Polynomial Inequalities
Rational Inequalities
8.6 Exercise Set
Skill Maintenance
Synthesis
Chapter 8 Summary and Review
Study Guide
Review Exercises
Synthesis
Collaborative Discussion and Writing
8 Chapter Test
Synthesis
Chapter 9 Exponential Functions and Logarithmic Functions
9.1 The Composition of Functions
The Composition of Functions
Decomposing a Function as a Composition
9.1 Exercise Set
Skill Maintenance
Synthesis
9.2 Inverse Functions
Inverses
Inverses and One-to-One Functions
Finding Formulas for Inverses
Inverse Functions and Composition
Restricting a Domain
9.2 Exercise Set
Skill Maintenance
Synthesis
9.3 Exponential Functions and Graphs
Graphing Exponential Functions
Applications
The Number e
Graphs of Exponential Functions, Base e
9.3 Exercise Set
Skill Maintenance
Synthesis
9.4 Logarithmic Functions and Graphs
Logarithmic Functions
Finding Certain Logarithms
Converting Between Exponential Equations and Logarithmic Equations
Finding Logarithms on a Calculator
Natural Logarithms
Changing Logarithmic Bases
Graphs of Logarithmic Functions
Applications
9.4 Exercise Set
Skill Maintenance
Synthesis
Mid-Chapter Review
Collaborative Discussion and Writing
9.5 Properties of Logarithmic Functions
Logarithms of Products
A Proof of the Product Rule.
Logarithms of Powers
A Proof of the Power Rule.
Logarithms of Quotients
A Proof of the Quotient Rule.
Applying the Properties
Simplifying Expressions of the Type logaax and alogax
A Proof of the Change-of-Base Formula.
9.5 Exercise Set
Skill Maintenance
Synthesis
9.6 Solving Exponential Equations and Logarithmic Equations
Solving Exponential Equations
Solving Logarithmic Equations
9.6 Exercise Set
Skill Maintenance
Synthesis
9.7 Applications and Models: Growth and Decay; Compound Interest
Population Growth
Interest Compounded Continuously
Models of Limited Growth
Exponential Decay
9.7 Exercise Set
Skill Maintenance
Vocabulary Reinforcement
Synthesis
Chapter 9 Summary and Review
Study Guide
Review Exercises
Synthesis
Collaborative Discussion and Writing
9 Chapter Test
Synthesis
Chapter 10 Matrices
10.1 Matrices and Systems of Equations
Matrices and Row-Equivalent Operations
Gaussian Elimination with Matrices
Gauss–Jordan Elimination
10.1 Exercise Set
Skill Maintenance
Synthesis
10.2 Matrix Operations
Matrix Addition and Subtraction
Scalar Multiplication
Products of Matrices
Matrix Equations
10.2 Exercise Set
Skill Maintenance
Synthesis
Mid-Chapter Review
Collaborative Discussion and Writing
10.3 Inverses of Matrices
The Identity Matrix
The Inverse of a Matrix
Solving Systems of Equations
10.3 Exercise Set
Skill Maintenance
Synthesis
10.4 Determinants and Cramer’s Rule
Determinants of Square Matrices
Evaluating Determinants Using Cofactors
Cramer’s Rule
10.4 Exercise Set
Skill Maintenance
Synthesis
Chapter 10 Summary and Review
Study Guide
Review Exercises
Synthesis
Collaborative Discussion and Writing
10 Chapter Test
Synthesis
Chapter 11 Conic Sections
11.1 The Parabola
Parabolas
Finding Standard Form by Completing the Square
Applications
11.1 Exercise Set
Skill Maintenance
Synthesis
11.2 The Circle and the Ellipse
Circles
Ellipses
Applications
11.2 Exercise Set
Skill Maintenance
Vocabulary Reinforcement
Synthesis
Mid-Chapter Review
Collaborative Discussion and Writing
11.3 The Hyperbola
Standard Equations of Hyperbolas
Applications
11.3 Exercise Set
Skill Maintenance
Synthesis
11.4 Nonlinear Systems of Equations and Inequalities
Nonlinear Systems of Equations
Modeling and Problem Solving
Nonlinear Systems of Inequalities
11.4 Exercise Set
Skill Maintenance
Synthesis
Chapter 11 Summary and Review
Study Guide
Review Exercises
Synthesis
Collaborative Discussion and Writing
11 Chapter Test
Synthesis
Chapter 12 Sequences, Series, and Combinatorics
12.1 Sequences and Series
Sequences
Finding the General Term
Sums and Series
Sigma Notation
Recursive Definitions
12.1 Exercise Set
Skill Maintenance
Synthesis
12.2 Arithmetic Sequences and Series
Arithmetic Sequences
Sum of the First n Terms of an Arithmetic Sequence
Applications
12.2 Exercise Set
Skill Maintenance
Synthesis
12.3 Geometric Sequences and Series
Geometric Sequences
Sum of the First n Terms of a Geometric Sequence
Infinite Geometric Series
Applications
12.3 Exercise Set
Skill Maintenance
Synthesis
12.4 Mathematical Induction
Proving Infinite Sequences of Statements
Proof.
Proof.
12.4 Exercise Set
Skill Maintenance
Synthesis
Mid-Chapter Review
Collaborative Discussion and Writing
12.5 Combinatorics: Permutations
Permutations
Factorial Notation
Permutations of n Objects Taken k at a Time
Permutations of Sets with Nondistinguishable Objects
12.5 Exercise Set
Skill Maintenance
Synthesis
12.6 Combinatorics: Combinations
Combinations
12.6 Exercise Set
Skill Maintenance
Synthesis
12.7 The Binomial Theorem
Binomial Expansion Using Pascal’s Triangle
Binomial Expansion Using Factorial Notation
Finding a Specific Term
Total Number of Subsets
12.7 Exercise Set
Skill Maintenance
Synthesis
12.8 Probability
Experimental Probability and Theoretical Probability
Computing Experimental Probabilities
Theoretical Probability
12.8 Exercise Set
Skill Maintenance
Synthesis
Chapter 12 Summary and Review
Study Guide
Review Exercises
Synthesis
Collaborative Discussion and Writing
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