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Table of Contents

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.

R. Prealgebra Review

R.1 Fractions

R.2 Decimals and Percents

 

1. The Real Number System

• Identify the place value of a digit
• Write decimals as fractions or mixed numbers
• Add and subtract negative decimals
• Multiply positive and negative decimals
• Divide a number by a decimal
• Write fractions as equivalent decimals

1.1 Exponents, Order of Operations, and Inequality

1.2 Variables, Expressions, and Equations

1.3 Real Numbers and the Number Line

1.4 Adding and Subtracting Real Numbers

1.5 Multiplying and Dividing Real Numbers

1.7 Properties of Real Numbers

1.8 Simplifying Expressions

 

2. Linear Equations and Inequalities in One Variable

• Identify variables, constants, and expressions
• Use the distributive property to multiply
• Translate word phrases into algebraic expressions
• Write percents as decimals
• Write decimals as percents.
• Write percents as fractions
• Write fractions as percents
• Solve applications of percent
• Graph numbers on a number line
• Use the < and > symbols to compare integers

2.1 The Addition Property of Equality

2.2 The Multiplication Property of Equality

2.3 More on Solving Linear Equations

2.4 Applications of Linear Equations

2.5 Formulas and Additional Applications from Geometry

2.6 Ratio, Proportion, and Percent

2.7 Further Applications of Linear Inequalities

2.8 Solving Linear Inequalities

 

3. Linear Equations and Inequalities in Two Variables; Functions

3.1 Linear Equations and Rectangular Coordinates

3.2 Graphing Linear Equations in Two Variables

3.3 The Slope of a Line

3.4 Slope-Intercept Form of a Linear Equation

3.5 Point-Slope Form of a Linear Equation and Modeling

3.6 Graphing Linear Inequalities in Two Variables

3.7 Introduction to Functions

 

4. Systems of Linear Equations and Inequalities

• Evaluate an expression when values of the variables are given
• Determine whether a number is a solution of an equation
• 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 Elimination
• 4.4 Applications of Linear Systems
• 4.5 Solving Systems of Linear Inequalities

 

5. Exponents and Polynomials

• Review the use of exponents
• Decide whether an expression gives a positive or negative result

5.1 The Product Rule and Power Rules for Exponents

5.2 Integer Exponents and the Quotient Rule

5.3 Scientific Notation

5.4 Adding, Subtracting, and Graphing Polynomials

5.5 Multiplying Polynomials

5.6 Special Products

5.7 Dividing a Polynomials

 

6. Factoring and Applications

• Find prime factorizations
• Multiply a monomial and a polynomial
• Multiply two polynomials

6.1 The Greatest Common Factor; Factoring by Grouping

6.2 Factoring Trinomials

6.3 More on Factoring Trinomials

6.4 Special Factoring Techniques

6.5 Solving Quadratic Equations Using the Zero-Factor Property

6.6 Applications of Quadratic Equations

 

7. Rational Expressions and Applications

• Write a fraction in lowest terms using a common factor
• Multiply signed fractions
• Divide signed fractions
• Add and subtract unlike fractions
• Rewrite mixed numbers as improper fractions, or the reverse
• Solve application problems containing mixed numbers

7.1 The Fundamental Property of Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Least Common Denominators

7.4 Adding and Subtracting Rational Expressions

7.5 Complex Fractions

7.6 Solving Equations with Rational Expressions       

7.7 Applications of Rational Expressions

7.8 Variation

 

8. Roots and Radicals

• Use exponents to write repeated factors   
• Simplify expressions containing exponents
• Review combining like terms

8.1 Evaluating Roots

8.2 Multiplying, Dividing, and Simplifying Radicals

8.3 Adding and Subtracting Radicals

8.4 Rationalizing the Denominator

8.5 More Simplifying and Operations with Radicals

8.6 Solving Equations with Radicals

 

9. Quadratic Equations

• Simplify equations before using the addition property of equality
• Simplify equations before using the division property of equality
• Solve equations using the distributive, addition, and division properties

9.1 Solving Quadratic Equations by the Square Root Property

9.2 Solving Quadratic Equations by Completing the Square

9.3 Solving Quadratic Equations by the Quadratic Formula

9.4 Graphing Quadratic Equations

Get Beginning Algebra Plus NEW Integrated Review MyLab Math and Worksheets--Access Card Package, 12th Edition by Margaret L. Lial, American River College John Hornsby, University of New Orleans Terry McGinnis

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