Читать книгу Algebra I: 1001 Practice Problems For Dummies (+ Free Online Practice) - Mary Jane Sterling, Mary Sterling Jane - Страница 3

1  Cover

2  Title Page

3  Copyright

4  Introduction What You’ll Find How This Workbook Is Organized Beyond the Book Where to Go for Additional Help

5  Part 1: The Questions Chapter 1: Signing on with Signed Numbers The Problems You’ll Work On What to Watch Out For Placing Real Numbers on the Number Line Using the Absolute Value Operation Adding Signed Numbers Subtracting Signed Numbers Multiplying and Dividing Signed Numbers Chapter 2: Recognizing Algebraic Properties and Notation The Problems You’ll Work On What to Watch Out For Applying Traditional Grouping Symbols Introducing Some Non-Traditional Grouping Symbols Distributing Multiplication over Addition and Subtraction Associating Terms Differently with the Associative Property Rearranging with the Commutative Property Applying More Than One Property to an Expression Chapter 3: Working with Fractions and Decimals The Problems You’ll Work On What to Watch Out For Adding and Subtracting Fractions Multiplying Fractions Dividing Fractions Simplifying Complex Fractions Adding and Subtracting Decimals Multiplying Decimals Dividing Decimals Changing Fractions to Decimals Changing Decimals to Fractions Chapter 4: Making Exponential Expressions and Operations More Compatible The Problems You’ll Work On What to Watch Out For Multiplying and Dividing Exponentials with the Same Base Raising a Power to a Power Combining Different Operations on Exponentials Changing the Base to Perform an Operation Working with Scientific Notation Chapter 5: Raking in Radicals The Problems You’ll Work On What to Watch Out For Simplifying Radical Expressions Rationalizing Denominators Using Fractional Exponents for Radicals Evaluating Expressions with Fractional Exponents Operating on Radicals Operating on Factors with Fractional Exponents Estimating Values of Radicals Chapter 6: Creating More User-Friendly Algebraic Expressions The Problems You’ll Work On What to Watch Out For Adding and Subtracting Like Terms Multiplying and Dividing Factors Simplifying Expressions Using the Order of Operations Evaluating Expressions Using the Order of Operations Operating with Factorials Focusing on Function Notation Chapter 7: Multiplying by One or More Terms The Problems You’ll Work On What to Watch Out For Distributing One Term Over Sums and Differences Distributing Using Division Multiplying Binomials Using Distributing Multiplying Binomials Using FOIL Distributing Binomials Over Trinomials Squaring Binomials Raising Binomials to the Third Power Using Pascal’s Triangle Finding Special Products of Binomials and Trinomials Chapter 8: Dividing Algebraic Expressions The Problems You’ll Work On What to Watch Out For Dividing with Monomial Divisors Monomial Divisors and Remainders Using Long Division to Divide with Binomials Dividing with Binomials Using Synthetic Division Dividing with Higher Power Divisors Chapter 9: Factoring Basics The Problems You’ll Work On What to Watch Out For Finding Divisors Using Rules of Divisibility Writing Prime Factorizations Factoring Out a GCF Reducing Fractions with a Common GCF Chapter 10: Factoring Binomials The Problems You’ll Work On What to Watch Out For Factoring the Difference of Perfect Squares Factoring the Sum or Difference of Two Perfect Cubes Factoring More Than Once Chapter 11: Factoring Quadratic Trinomials The Problems You’ll Work On What to Watch Out For Factoring Out the GCF of a Trinomial Factoring Trinomials into the Products of Binomials Factoring Quadratic-Like Expressions Factoring Completely Using More Than One Technique Chapter 12: Other Factoring Techniques The Problems You’ll Work On What to Watch Out For Factoring by Grouping Combining Other Factoring Techniques with Grouping Using Multiple Factoring Methods Chapter 13: Solving Linear Equations The Problems You’ll Work On What to Watch Out For Solving Linear Equations Using Basic Operations Dealing with Fractions in Linear Equations Chapter 14: Taking on Quadratic Equations The Problems You’ll Work On What to Watch Out For Applying the Square Root Rule to Quadratic Equations Solving Quadratic Equations Using Factoring Applying the Quadratic Formula to Quadratic Equations Completing the Square to Solve Quadratic Equations Writing Complex Numbers in the Standard a + bi Form Finding Complex Solutions Using the Quadratic Formula Chapter 15: Solving Polynomials with Powers Three and Higher The Problems You’ll Work On What to Watch Out For Applying Descartes’s Rule of Signs to Count Real Roots Applying the Rational Root Theorem to List Roots Determining Whether Numbers Are Roots Solving for the Roots of Polynomials Chapter 16: Reining in Radical and Absolute Value Equations The Problems You’ll Work On What to Watch Out For Solving Basic Radical Equations Checking for Extraneous Roots Squaring Both Sides of Equations Twice Solving Radicals with Roots Other Than Square Roots Solving Absolute Value Equations Handling Absolute Value Equations with No Solution Chapter 17: Making Inequalities More Fair The Problems You’ll Work On What to Watch Out For Performing Operations on Inequalities Writing Inequalities Using Interval Notation Changing Interval Notation to Inequality Notation Solving Linear Inequalities Taking on Compound Inequalities Solving Quadratic Inequalities Finding Solutions of Nonlinear Inequalities Rewriting and Solving Absolute Value Inequalities Delving into Complex Inequalities Chapter 18: Using Established Formulas The Problems You’ll Work On What to Watch Out For Getting Interested in Interest Problems Heating It Up with Temperature Problems Adding up Natural Numbers Going the Distance with the Distance Formula Getting the Inside Scoop with Sums of Interior Angles Averaging Out the Numbers Summing the Squares of Numbers Finding the Terms of a Sequence Adding the Terms in an Arithmetic Sequence Using the Formula for the Sum of Cubes Compounding the Problems Involving Compound Interest Chapter 19: Using Formulas in Geometric Story Problems The Problems You’ll Work On What to Watch Out For Working around the Perimeter of Rectangles Using the Area Formula for a Trapezoid Tackling Area and Perimeter of a Square Solving Problems Using the Perimeter of a Triangle Working with the Area and Perimeter of a Rectangle Using the Formula for the Area of a Hexagon Getting Pythagoras Involved in the Area of a Triangle Making Use of the Volume of a Box Working with the Volume of a Cylinder Changing Radians to Degrees and Degrees to Radians Determining the Height of an Object Working with Heron’s Formula for the Area of a Triangle Chapter 20: Tackling Traditional Story Problems The Problems You’ll Work On What to Watch Out For Tackling Age Problems Working with Consecutive Integers Getting the Job Done on Work Problems Counting on Quality and Quantity Problems Solving Money Problems Chapter 21: Graphing Basics The Problems You’ll Work On What to Watch Out For Plotting Points on the Coordinate System Determining the Quadrant of a Point Finding the Intercepts of a Line Calculating the Slope of a Line from Two Points Determining a Line’s Slope from Its Equation Sketching the Graph of a Line from Its Equation Sketching Lines Using Two Points Chapter 22: Using the Algebra of Lines The Problems You’ll Work On What to Watch Out For Writing Equations of Lines Using the Slope and a Point Writing the Equation of a Line Using Two Points Dealing with Slopes of Parallel and Perpendicular Lines Finding Equations of Lines Parallel or Perpendicular to One Given Computing the Distance Between Points Determining the Midpoint Chapter 23: Other Graphing Topics The Problems You’ll Work On What to Watch Out For Graphing to Find the Intersection of Two Lines Sketching the Graph of a Circle Creating the Graph of a Parabola Transforming the Graph of a Figure

6  Part 2: The Answers Chapter 24: The Answers

7  Index

8  About the Author

9  Connect with Dummies

10  End User License Agreement