Mary Jane Sterling - Algebra I - 1001 Practice Problems For Dummies (+ Free Online Practice)

Algebra I: 1001 Practice Problems For Dummies®

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Library of Congress Control Number: 2022934317

ISBN: 978-1-119-88347-0 (pbk); 978-1-119-88348-7 (ebk); 978-1-119-88349-4 (ebk)

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