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Table of Contents

The Skill Review Topics listed within each chapter below are objectives available in MyMathLab only, not in the textbook. For each of these objectives, there is just-in-time remediation in the form of videos, worksheets, practice, and assessment in the Integrated Review MyMathLab course only. 

Note that the topics listed within each chapter below are objectives available in MyMathLab only, not in the textbook. For each of these objectives, there is just-in-time remediation in the form of videos, worksheets, practice, and assessment in the Integrated Review MyMathLab course only.

1. Review of Real Numbers

1.R Integrated Prealgebra Review Topics

• Find the place value of a digit in a whole number
• Write a whole number in words and in standard form.
• Add whole numbers
• Subtract whole numbers
• Multiply whole numbers
• Divide whole numbers
• Write repeated factors using exponential notation

1.1 Tips for Success in Mathematics

1.2 Symbols and Sets of Numbers

1.3 Fractions and Mixed Numbers

1.4 Exponents, Order of Operations, Variable Expressions and Equations

1.5 Adding Real Numbers

1.6 Subtracting Real Numbers

Integrated Review—Operations on Real Numbers

1.7 Multiplying and Dividing Real Numbers

1.8 Properties of Real Numbers

 

2. Equations, Inequalities, and Problem Solving

2.R Integrated Prealgebra Review Topics

o   Add real numbers

o   Subtract real numbers

o   Multiply real numbers

o   Divide real numbers

o   Identify solutions of equations

o   Use the distributive property

o   Understand percent

o   Compare integers

2.1 Simplifying Algebraic Expressions

2.2 The Addition and Multiplication Properties of Equality

2.3 Solving Linear Equations

Integrated Review—Solving Linear Equations

2.4 An Introduction to Problem Solving

2.5 Formulas and Problem Solving

2.6 Percent and Mixture Problem Solving

2.7 Further Problem Solving

2.8 Solving Linear Inequalities

 

3. Graphing

3.R Integrated Prealgebra Review Topics

o   Solve linear equations using the addition and multiplication properties

o   Simplify expressions by using the order of operations

o   Evaluate an algebraic expression

3.1 Reading Graphs and the Rectangular Coordinate System

3.2 Graphing Linear Equations

3.3 Intercepts

3.4 Slope and Rate of Change

Integrated Review—Summary on Slope and Graphing Linear Equations

3.5 Equation of Lines

3.6 Functions

 

4. Solving Systems of Linear Equations

4.R Integrated Prealgebra Review Topics

o   Graph linear equations by plotting points

o   Solve linear equations containing parentheses

o   Use the multiplication property of equality to solve equations

o   Use problem solving steps to solve problems        

4.1 Solving Systems of Linear Equations by Graphing

4.2 Solving Systems of Linear Equations by Substitution

4.3 Solving Systems of Linear Equations by Addition

Integrated Review—Solving Systems of Equations

4.4 Solving Systems of Linear Equations in Three Variables

4.5 Systems of Linear Equations and Problem Solving

 

5. Exponents and Polynomials

5.R Integrated Prealgebra Review Topics

• Write repeated factors using exponential notation
• Evaluate expressions containing exponents
• Use properties to combine like terms
• Use properties of numbers to simplify expressions
• Simplify expressions by multiplying and then combining like terms
• Write a fraction in simplest form
• Evaluate exponential expressions with fractional bases

5.1 Exponents

5.2 Polynomial Functions and Adding and Subtracting Polynomials

5.3 Multiplying Polynomials

5.4 Special Products

Integrated Review—Exponents and Operations on Polynomials

5.5 Negative Exponents and Scientific Notation

5.6 Dividing Polynomials

5.7 Synthetic Division and the Remainder Theorem

 

6. Factoring Polynomials

6.R Integrated Prealgebra Review Topics

• Multiply a monomial and any polynomial
• Multiply two binomials
• Find the square root of a number
• Solve linear equations using the addition and multiplication properties
• Write sentences as equations

6.1 The Greatest Common Factor and Factoring by Grouping

6.2 Factoring Trinomials of the Form x² + bx + c

6.3 Factoring Trinomials of the Form ax² + bx + c by Perfect Square Trinomials

6.4 Factoring Trinomials of the Form ax² + bx + c by Grouping

6.5 Factoring Binomials

Integrated Review—Choosing a Factoring Strategy

6.6 Solving Quadratic Equations by Factoring

6.7 Quadratic Equations and Problem Solving

 

7. Rational Expressions

7.R Integrated Prealgebra Review Topics

• Write a fraction in simplest form
• Multiply fractions
• Divide fractions
• Add or subtract like fractions
• Find the least common denominator of a list of fractions
• Add or subtract unlike fractions
• Solve equations containing fractions
• Use the multiplication property of equality to solve equations

7.1 Rational Functions and Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator

7.4 Adding and Subtracting Rational Expressions with Unlike Denominators

7.5 Solving Equations Containing Rational Expressions

Integrated Review—Summary on Rational Expressions

7.6 Proportion and Problem Solving with Rational Equations

7.7 Simplifying Complex Fractions

 

8. More on Functions and Graphs

8.R Integrated Prealgebra Review Topics

• Use function notation
• Graph a linear equation by finding and plotting ordered pair solutions
• Find square roots
• Graph quadratic equations of the form y = ax² + bx +c
• Use the multiplication property of equality to solve linear equations

8.1 Graphing and Writing Linear Functions

8.2 Reviewing Function Notation and Graphing Nonlinear Functions

Integrated Review—Summary on Functions and Equations of Lines

8.3 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions

8.4 Variation and Problem Solving

 

9. Inequalities and Absolute Value

9.R Integrated Prealgebra Review Topics

• Solve linear inequalities
• Find the absolute value of a real number
• Apply a general strategy for solving a linear equation
• Graph a linear equation by finding and plotting ordered pair solutions

9.1 Compound Inequalities

9.2 Absolute Value Equations

9.3 Absolute Value Inequalities

Integrated Review—Solving Compound Inequalities and Absolute Value Equations and Inequalities

9.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities

 

10. Rational Exponents, Radicals, and Complex Numbers

10.R Integrated Prealgebra Review Topics

• Use all the rules and definitions for exponents to simplify exponential expressions
• Write a number as a product of prime numbers
• Combine like terms
• Multiply monomials
• Use the distributive property to multiply polynomials
• Use both the addition and multiplication properties of equality to solve linear equations
• Solve quadratic equations by factoring

10.1 Radicals and Radical Functions

10.2 Rational Exponents

10.3 Simplifying Radical Expressions

10.4 Adding, Subtracting, and Multiplying Radical Expressions

10.5 Rationalizing Denominators and Numerators of Radical Expressions

Integrated Review—Radicals and Rational Exponents

10.6 Radical Equations and Problem Solving

10.7 Complex Numbers

 

11. Quadratic Equations and Functions

11.R Integrated Prealgebra Review Topics

• Solve quadratic equations by factoring
• Evaluate an algebraic expression
• Factor trinomials of the form x²+bx+c
• Factor trinomials of the form ax²+bx+c where a does not equal 1
• Solve equations containing rational expressions
• Solve linear inequalities
• Graph a linear equation by finding and plotting ordered pair solutions

11.1 Solving Quadratic Equations by Completing the Square

11.2 Solving Quadratic Equations by the Quadratic Formula

11.3 Solving Equations by Using Quadratic Methods

Integrated Review—Summary on Solving Quadratic Equations

11.4 Nonlinear Inequalities in One Variable

11.5 Quadratic Functions and Their Graphs

11.6 Further Graphing of Quadratic Functions

 

12. Exponential and Logarithmic Functions

12.R Integrated Prealgebra Review Topics

• Add and subtract polynomials
• Use the distributive property to multiply polynomials
• Solve a formula or equation for one of its variables
• Evaluate exponential expressions
• Apply a general strategy for solving a linear equation
• Solve quadratic equations by factoring

12.1 The Algebra of Functions; Composite Functions

12.2 Inverse Functions

12.3 Exponential Functions

12.4 Exponential Growth and Decay Functions

12.5 Logarithmic Functions

12.6 Properties of Logarithms

Integrated Review—Functions and Properties of Logarithms

12.7 Common Logarithms, Natural Logarithms, and Change of Base

12.8 Exponential and Logarithmic Equations and Problem Solving

 

13. Conic Sections

13.R Integrated Prealgebra Review Topics

• Solve quadratic equations of the form ax²+bx+c=0 by completing the square
• Graph quadratic equations of the form y=ax²+bx+c
• Solve quadratic equations by factoring
• Use the substitution method to solve a system of linear equations
• Use the addition method to solve a system of linear equations
• Use the quadratic formula to solve quadratic equations
• Graph a linear inequality in two variables
• Solve a system of linear inequalities in two variables

13.1 The Parabola and the Circle

13.2 The Ellipse and the Hyperbola

Integrated Review—Graphing Conic Sections

13.3 Solving Nonlinear Systems of Equations

13.4 Nonlinear Inequalities and Systems of Inequalities

 

14. Sequences, Series, and the Binomial Theorem

14.R Integrated Prealgebra Review Topics

• Find the values of a polynomial given replacement values for the variables
• Use the addition method to solve a system of linear equations
• Add real numbers
• Subtract real numbers
• Simplify complex fractions using method 2
• Divide real numbers

14.1 Sequences

14.2 Arithmetic and Geometric Sequences

14.3 Series

Integrated Review—Sequences and Series

14.4 Partial Sums of Arithmetic and Geometric Sequences

14.5 The Binomial Theorem

 

Appendix A. Operations on Decimals/Percent, Decimal, and Fraction Table

Appendix B. Review of Algebra Topics

Appendix C. An Introduction to Using a Graphic Utility

Appendix D. Solving Systems of Equations by Matrices

Appendix E. Solving Systems of Equations by Determinants

Appendix F. Mean, Median, and Mode

Appendix G. Review of Angles, Lines, and Special Triangles

Get Beginning & Intermediate Algebra Plus NEW Integrated Review MyLab Math and Worksheets-Access Card Package, 5th Edition by Elayn Martin-Gay, University of New Orleans, Lakefront

Beginning & Intermediate Algebra Plus NEW Integrated Review MyLab Math and Worksheets-Access Card Package, 5th Edition Test Bank, Download Beginning & Intermediate Algebra Plus NEW Integrated Review MyLab Math and Worksheets-Access Card Package, 5th Edition , Beginning & Intermediate Algebra Plus NEW Integrated Review MyLab Math and Worksheets-Access Card Package, 5th Edition Test Book, PDF Beginning & Intermediate Algebra Plus NEW Integrated Review MyLab Math and Worksheets-Access Card Package, 5th Edition ,Elayn Martin-Gay, University of New Orleans, Lakefront , Elayn Martin-Gay, University of New Orleans, Lakefront