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Mary Jane Sterling. Algebra I: 1001 Practice Problems For Dummies (+ Free Online Practice)
Algebra I: 1001 Practice Problems For Dummies® To view this book's Cheat Sheet, simply go to www.dummies.com and search for “Algebra I: 1001 Practice Problems For Dummies Cheat Sheet” in the Search box. Table of Contents
Guide
Pages
Introduction
What You’ll Find
How This Workbook Is Organized
Part 1: Questions
Part 2: Answers
Beyond the Book
Where to Go for Additional Help
The Questions
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
The Answers
The Answers
Index. A
B
C
D
E
F
G
H
I
L
M
N
O
P
Q
R
S
T
V
W
About the Author
Dedication
Author’s Acknowledgments
WILEY END USER LICENSE AGREEMENT
