Developmental Mathematics, 1st Edition
1.1 Reading and Writing Whole Numbers
1.2 Addition and Subtraction with Whole Numbers
- Examples
- Example 1: Adding Whole Numbers
- Example 2: Adding Whole Numbers
- Example 4: Adding Whole Numbers
- Example 5: The Properties of Addition
- Example 6: Finding the Perimeter of a Triangle
- Example 7: Finding the Perimeter of a Geometric Figure
- Example 8: Subtracting Whole Numbers
- Example 9: Subtracting Whole Numbers
- Example 10: Subtracting Whole Numbers
- Example 11: Subtracting Whole Numbers
- Example 12: Subtracting Whole Numbers
- Example 13: Subtracting Whole Numbers
- Bonus Videos
- Bonus 1: Addition and Subtraction with Whole Numbers
1.3 Multiplication with Whole Numbers
1.4 Division with Whole Numbers
- Examples
- Example 1: Division using Repeated Subtraction
- Example 2: Division with Whole Numbers
- Example 3: Division Involving 0
- Example 4: Using Long Division
- Example 5: Using Long Division
- Example 6: Using Long Division
- Example 7: Using Long Division
- Example 10: Using Long Division
- Example 11: Using Long Division
- Example 12: Using Long Division
- Example 13: Using Long Division
- Bonus Videos
- Bonus 1: Division with Whole Numbers
1.5 Rounding and Estimating with Whole Numbers
- Examples
- Example 1: Rounding Whole Numbers
- Example 2: Rounding Whole Numbers
- Example 3: Rounding Whole Numbers
- Example 4: Estimating a Sum of Whole Numbers
- Example 6: Estimating a Difference of Whole Numbers
- Example 7: Estimating a Difference of Whole Numbers
- Example 8: Estimating Products of Whole Numbers
- Example 9: Estimating Products of Whole Numbers
- Example 10: Estimating Quotients of Whole Numbers
- Example 11: Estimating Quotients of Whole Numbers
- Example 13: Estimating Quotients of Whole Numbers
- Bonus Videos
- Bonus 1: Rounding and Estimating with Whole Numbers
1.6 Exponents and Order of Operations
- Examples
- Example 1: Understanding the Terms Base and Exponent
- Example 2: Reading Equations Containing Exponential Expressions
- Example 3: Writing and Evaluating Exponential Expressions
- Example 4: Evaluating Exponential Expressions
- Example 5: Order of Operations
- Example 6: Order of Operations
- Example 7: Order of Operations
- Example 8: Order of Operations
- Example 9: Order of Operations
- Bonus Videos
- Bonus 1: Exponents and Order of Operations
1.7 Problem Solving with Whole Numbers
- Examples
- Example 1: Number Problem
- Example 2: Number Problem
- Example 3: Number Problem
- Example 4: Consumer Items
- Example 5: Checking Accounts
- Example 6: Average
- Example 7: Average
- Example 8: Average
- Example 9: Average
- Bonus Videos
- Bonus 1: Problem Solving with Whole Numbers
- Bonus 2: Problem Solving with Whole Numbers
1.8 Tests for Divisibility
- Examples
- Example 1: Divisibility by
- Example 2: Divisibility by
- Example 3: Divisibility by 4
- Example 4: Divisibility by
- Example 5: Divisibility by
- Example 6: Divisibility by
- Example 7: Divisibility by
- Example 9: Divisibility of Products
- Example 10: Divisibility of Products
- Example 11: Divisibility of Products
- Bonus Videos
- Bonus 1: Tests for Divisibility
- Bonus 2: Tests for Divisibility
1.9 Prime Numbers and Prime Factorizations
- Examples
- Example 1: Prime and Composite Numbers
- Example 2: Determining Whether a Number is Prime
- Example 3: Determining Whether a Number is Prime
- Example 4: Determining Whether a Number is Prime
- Example 5: Application of Factors of Counting Numbers
- Example 6: Finding the Prime Factorization of a Composite Number
- Example 7: Finding the Prime Factorization of a Composite Number
- Example 9: Finding the Factors of a Composite Number
- Example 10: Finding the Factors of a Composite Number
2.1 Introduction to Fractions and Mixed Numbers
- Examples
- Example 1: Understanding Fractions
- Example 2: Proper Fractions
- Example 3: Improper Fractions
- Example 4: The Number 0 in Fractions
- Example 5: Multiplication with Fractions
- Example 7: Finding Equivalent Fractions
- Example 8: Finding Equivalent Fractions
- Example 10: Application of Multiplication with Fractions
- Example 11: Reducing Fractions to Lowest Terms
- Example 12: Reducing Fractions to Lowest Terms
- Example 14: Changing a Mixed Number to an Improper Fraction
- Example 16: Changing an Improper Fraction to a Mixed Number
- Bonus Videos
- Bonus 1: Introduction to Fractions and Mixed Numbers
2.2 Multiplication and Division with Fractions and Mixed Numbers
- Examples
- Example 1: Multiplication with Mixed Numbers
- Example 2: Multiplication with Fractions and Mixed Numbers
- Example 3: Multiplying and Reducing with Fractions
- Example 4: Multiplying and Reducing with Fractions
- Example 6: Multiplying and Reducing with Mixed Numbers
- Example 7: Multiplying and Reducing with Fractions
- Example 8: Multiplying and Reducing with Fractions
- Example 9: Application of Multiplying and Reducing with Fractions
- Example 10: Reciprocals
- Example 11: Reciprocals
- Example 12: Dividing with Fractions
- Example 13: Dividing and Reducing with Fractions and Mixed Numbers
- Example 15: Multiplying and Dividing with Fractions and Mixed Numbers
- Example 16: Multiplying and Dividing with Fractions and Mixed Numbers
- Bonus Videos
- Bonus 1: Multiplication and Division with Fractions and Mixed Numbers
2.3 Least Common Multiple (LCM)
- Examples
- Example 1: Finding the Least Common Multiple (LCM)
- Example 2: Finding the Least Common Multiple (LCM)
- Example 4: Finding the Least Common Multiple (LCM)
- Example 5: Finding the Least Common Multiple (LCM)
- Example 6: Prime Factorizations and the Least Common Multiple (LCM)
- Example 7: Prime Factorizations and the Least Common Multiple (LCM)
- Example 8: Application with Least Common Multiple (LCM)
- Bonus Videos
- Bonus 1: Least Common Multiple (LCM)
- Bonus 2: Least Common Multiple (LCM)
2.4 Addition and Subtraction with Fractions
- Examples
- Example 1: Adding Fractions with the Same Denominator
- Example 2: Adding Fractions with the Same Denominator
- Example 4: Adding Fractions with Different Denominators
- Example 5: Application of Adding Fractions with Different Denominators
- Example 6: Application of Adding Fractions with Different Denominators
- Example 7: Subtracting Fractions with the Same Denominator
- Example 8: Subtracting Fractions with the Same Denominator
- Example 9: Subtracting Fractions with Different Denominators
- Example 10: Subtracting Fractions with Different Denominators
- Example 12: Application of Subtracting Fractions with Different Denominators
- Bonus Videos
- Bonus 1: Addition and Subtraction with Fractions
2.5 Addition and Subtraction with Mixed Numbers
- Examples
- Example 1: Adding Mixed Numbers
- Example 2: Adding Mixed Numbers
- Example 3: Adding Mixed Numbers
- Example 4: Application of Adding with Mixed Numbers
- Example 5: Subtracting Mixed Numbers
- Example 6: Subtracting Mixed Numbers
- Example 7: Subtracting Mixed Numbers with Borrowing
- Example 8: Subtracting Mixed Numbers with Borrowing
- Example 9: Subtracting Mixed Numbers with Borrowing
- Bonus Videos
- Bonus 1: Addition and Subtraction with Mixed Numbers
2.6 Order of Operations with Fractions and Mixed Numbers
- Examples
- Example 1: Comparing Fractions
- Example 2: Comparing Fractions
- Example 3: Comparing Fractions
- Example 4: Order of Operations with Fractions
- Example 5: Order of Operations with Fractions
- Example 6: Order of Operations with Fractions
- Example 8: Simplifying Complex Fractions
- Example 9: Order of Operations with Mixed Numbers
- Example 10: Order of Operations with Mixed Numbers
- Example 11: Order of Operations with Mixed Numbers
- Example 12: Average of Mixed Numbers
3.1 Introduction to Decimal Numbers
- Examples
- Example 1: Reading and Writing Decimal Numbers
- Example 2: Reading and Writing Decimal Numbers
- Example 5: Comparing Decimal Numbers
- Example 6: Comparing Decimal Numbers
- Example 7: Comparing Decimal Numbers
- Example 8: Rounding Decimal Numbers
- Example 9: Rounding Decimal Numbers
- Bonus Videos
- Bonus 1: Introduction to Decimal Numbers
3.2 Addition and Subtraction with Decimal Numbers
- Examples
- Example 1: Adding Decimal Numbers
- Example 2: Adding Decimal Numbers
- Example 3: Adding Decimal Numbers
- Example 4: Adding Decimal Numbers
- Example 5: Subtracting Decimal Numbers
- Example 6: Subtracting Decimal Numbers
- Example 7: Estimating a Sum
- Bonus Videos
- Bonus 1: Addition and Subtraction with Decimal Numbers
- Bonus 2: Addition and Subtraction with Decimal Numbers
3.3 Multiplication with Decimal Numbers
- Examples
- Example 1: Multiplication with Decimal Numbers
- Example 2: Multiplication with Decimal Numbers
- Example 3: Multiplication with Decimal Numbers
- Example 5: Multiplication of a Decimal Number by a Power of 10
- Example 6: Estimating a Product
- Example 7: Buying a Car
- Bonus Videos
- Bonus 1: Multiplication with Decimal Numbers
3.4 Division with Decimal Numbers
- Examples
- Example 1: Division with Decimal Numbers
- Example 3: Division with Decimal Numbers
- Example 4: Division with Decimal Numbers
- Example 5: Division by Powers of 10
- Example 6: Order of Operations with Decimal Numbers
- Example 7: Order of Operations with Decimal Numbers
- Example 8: Division with Decimal Numbers
- Example 9: Gas Mileage
- Example 10: Bicycle Speed
- Example 11: Gasoline Prices
- Bonus Videos
- Bonus 1: Division with Decimal Numbers
3.5 Decimals and Fractions
- Examples
- Example 1: Changing Decimal Numbers to Fractions
- Example 2: Changing Decimal Numbers to Fractions
- Example 3: Changing Decimal Numbers to Fractions
- Example 4: Changing Decimal Numbers to Fractions
- Example 5: Changing Decimal Numbers to Fractions
- Example 6: Changing Fractions to Decimal Numbers
- Example 7: Changing Fractions to Decimal Numbers
- Example 8: Changing Fractions to Decimal Numbers
- Example 9: Changing Fractions to Decimal Numbers
- Example 10: Operating with Both Fractions and Decimal Numbers
- Example 11: Operating with Both Fractions and Decimal Numbers
- Bonus Videos
- Bonus 1: Decimals and Fractions
4.1 Ratios and Proportions
4.2 Solving Proportions
4.3 Decimals and Percents
4.4 Fractions and Percents
- Examples
- Example 1: Changing Fractions to Percents
- Example 2: Changing Mixed Numbers to Percents
- Example 3: Changing Fractions to Percents
- Example 4: Changing Fractions to Percents
- Example 5: Changing Percents to Fractions
- Example 6: Changing Percents to Fractions
- Bonus Videos
- Bonus 1: Fractions and Percents
4.5 Solving Percent Problems by Using Proportions: P/100 = A/B
4.6 Solving Percent Problems by Using the Equation: R * B = A
4.7 Applications: Discount, Sales Tax, and Commission
4.8 Applications: Profit, Simple Interest, and Compound Interest
- Examples
- Example 1: Calculating Percent of Profit
- Example 2: Calculating Simple Interest
- Example 4: Calculating Principal using Simple Interest
- Example 5: Calculating Time using Simple Interest
- Example 6: Calculating Compound Interest
- Example 7: Calculating Compound Interest
- Bonus Videos
- Bonus 1: Applications: Profit, Simple Interest, and Compound Interest
5.1 Angles
5.2 Perimeter
- Examples
- Example 1: Finding the Perimeter of a Square
- Example 2: Finding the Perimeter of a Triangle
- Example 3: Finding the Perimeter of a Rectangle
- Example 4: Finding the Perimeter of a Polygon
- Example 5: Finding the Cost of a Fencing Project
- Example 6: Finding the Perimeter of a Polygon
- Bonus Videos
- Bonus 1: Perimeter
- Bonus 2: Perimeter
5.3 Area
- Examples
- Example 1: Finding the Area of a Triangle
- Example 2: Finding the Area of a Trapezoid
- Example 3: Finding the Area of a Composite Figure
- Example 4: Finding the Area of a Rectangle
- Example 5: Finding the Area of a Polygon
- Example 6: Finding the Perimeter and Area
- Bonus Videos
- Bonus 1: Area
- Bonus 2: Area
5.4 Circles
5.5 Volume and Surface Area
- Examples
- Example 1: Finding the Volume of a Rectangular Solid
- Example 2: Finding the Volume of a Sphere
- Example 3: Finding the Volume of a Cylinder
- Example 4: Finding the Volume of a Solid
- Example 5: Finding the Volume of a Cube
- Example 6: Finding the Surface Area of a Rectangular Solid
- Example 7: Finding the Surface Area of a Right Circular Cylinder
5.6 Triangles
5.7 Square Roots and the Pythagorean Theorem
7.1a The Real Number Line and Inequalities
7.1b Introduction to Absolute Value
7.2 Addition with Real Numbers
- Examples
- Example 1: Addition with Like Signs
- Example 2: Addition with Unlike Signs
- Example 3: Adding More Than Two Real Numbers
- Example 4: Addition in a Vertical Format
- Example 5: Addition in a Vertical Format
- Example 6: Determining Possible Solutions
- Bonus Videos
- Bonus 1: Addition with Real Numbers
- Bonus 2: Addition with Real Numbers
7.3 Subtraction with Real Numbers
7.4 Multiplication and Division with Real Numbers
- Examples
- Example 1: Products of Positive and Negative Real Numbers
- Example 2: Products of Negative Real Numbers
- Example 3: Multiplication by
- Example 5: Division with Fractions and Decimals
- Bonus Videos
- Bonus 1: Multiplication and Division with Real Numbers
- Bonus 2: Multiplication and Division with Real Numbers
7.5 Order of Operations with Real Numbers
7.6 Properties of Real Numbers
7.7a Variables and Algebraic Expressions
7.7b Simplifying Algebraic Expressions
7.7c Evaluating Algebraic Expressions
7.8 Translating English Phrases and Algebraic Expressions
- Examples
- Example 1: Translating English Phrases into Algebraic Expressions
- Example 2: Translating Algebraic Expressions to English Phrases
- Example 3: Translating English Phrases to Algebraic Expressions
- Bonus Videos
- Bonus 1: Translating English Phrases and Algebraic Expressions
- Bonus 2: Translating English Phrases and Algebraic Expressions
8.1a Solving Linear Equations Using Addition and Subtraction
- Examples
- Example 1: Solving x + b = c
- Example 2: Solving x + b = c
- Example 3: Solving x + b = c
- Example 4: Solving x + b = c
- Example 5: Simplifying and Solving Equations
- Bonus Videos
- Bonus 1: Solving Linear Equations Using Addition and Subtraction
- Bonus 2: Solving Linear Equations Using Addition and Subtraction
8.1b Solving Linear Equations Using Multiplication and Division
8.2 Solving Linear Equations: ax + b = c
- Examples
- Example 1: Solving Linear Equations of the Form ax + b = c
- Example 2: Solving Linear Equations of the Form ax + b = c
- Example 3: Solving Linear Equations Involving Decimals
- Example 4: Solving Linear Equations Involving Decimals
- Example 5: Solving Linear Equations with Fractional Coefficients
- Example 6: Solving Linear Equations with Fractional Coefficients
- Bonus Videos
- Bonus 1: Solving Linear Equations: ax + b = c
- Bonus 2: Solving Linear Equations: ax + b = c
8.3 Solving Linear Equations: ax + b = cx + d
- Examples
- Example 1: Solving Equations of the Form ax + b = cx + d
- Example 2: Solving Equations of the Form ax + b = cx + d
- Example 3: Solving Linear Equations Involving Decimals
- Example 4: Solving Linear Equations with Fractional Coefficients
- Example 5: Solving Equations with Parentheses
- Example 6: Solving Equations with Parentheses
- Example 8: Solutions of Equations
- Example 9: Solutions of Equations
- Example 10: Solutions of Equations
- Bonus Videos
- Bonus 1: Solving Linear Equations: ax + b = cx + d
- Bonus 2: Solving Linear Equations: ax + b = cx + d
- Bonus 3: Solving Linear Equations: ax + b = cx + d
8.4 Introduction to Problem Solving
- Examples
- Example 1: Number Problems
- Example 2: Number Problems
- Example 3: Number Problems
- Example 4: Consecutive Integers
- Example 5: Consecutive Integers
- Example 6: Living Expenses
- Example 7: School Supplies
- Bonus Videos
- Bonus 1: Introduction to Problem Solving
- Bonus 2: Introduction to Problem Solving
- Bonus 3: Introduction to Problem Solving
8.5 Working with Formulas
- Examples
- Example 1: Evaluating Formulas
- Example 2: Evaluating Formulas
- Example 3: Evaluating Formulas
- Example 4: Evaluating Formulas
- Example 5: Solving for Different Variables
- Example 6: Solving for Different Variables
- Example 7: Solving for Different Variables
- Example 8: Solving for Different Variables
- Bonus Videos
- Bonus 1: Working with Formulas
- Bonus 2: Working with Formulas
8.6 Applications: Distance-Rate-Time, Interest, Average
8.7 Solving Linear Inequalities
9.1 The Cartesian Coordinate System
9.2 Graphing Linear Equations in Two Variables: Ax + By = C
- Examples
- Example 1: Graphing a Linear Equation in Two Variables
- Example 2: x- and y-Intercepts
- Bonus Videos
- Bonus 1: Graphing Linear Equations in Two Variables: Ax + By = C
- Bonus 2: Graphing Linear Equations in Two Variables: Ax + By = C
- Bonus 3: Graphing Linear Equations in Two Variables: Ax + By = C
- Bonus 4: Graphing Linear Equations in Two Variables: Ax + By = C
9.3 The Slope- Intercept Form: y = mx + b
9.4a Finding the Equation of a Line
- Examples
- Example 1: Graphing a Line Given a Point and the Slope
- Example 2: Finding Equations of Lines Using the Slope and a Point
- Example 3: Using Two Points to Find the Equation of a Line
- Bonus Videos
- Bonus 1: Finding the Equation of a Line
- Bonus 2: Finding the Equation of a Line
- Bonus 3: Finding the Equation of a Line
- Bonus 4: Finding the Equation of a Line
- Bonus 5: Finding the Equation of a Line
9.4b The Point- Slope Form: y - y1 = m(x - x1)
- Examples
- Example 1: Finding the Equations of Parallel Lines
- Example 2: Finding the Equations of Perpendicular Lines
- Bonus Videos
- Bonus 1: The Point- Slope Form: y - y1 = m(x - x1)
- Bonus 2: The Point- Slope Form: y - y1 = m(x - x1)
- Bonus 3: The Point- Slope Form: y - y1 = m(x - x1)
- Bonus 4: The Point- Slope Form: y - y1 = m(x - x1)
9.5 Introduction to Functions and Function Notation
- Examples
- Example 1: Finding the Domain and Range
- Example 2: Reading the Domain and Range from the Graph of a Relation
- Example 3: Functions
- Example 4: Vertical Line Test
- Example 5: Domain
- Example 6: Function Evaluation
- Example 7: Nonlinear Function Evaluation
- Bonus Videos
- Bonus 1: Introduction to Functions and Function Notation
- Bonus 2: Introduction to Functions and Function Notation
9.6 Graphing Linear Inequalities in Two Variables
10.1 Systems of Equations: Solutions by Graphing
- Examples
- Example 1: Solution of a System
- Example 2: Not a Solution of a System
- Example 3: A System with One Solution
- Example 4: A System with No Solution
- Example 5: A System with Infinitely Many Solutions
- Example 6: A System that Requires Estimation
- Bonus Videos
- Bonus 1: Systems of Equations: Solutions by Graphing
- Bonus 2: Systems of Equations: Solutions by Graphing
10.2 Systems of Equations: Solutions by Substitution
10.3 Systems of Equations: Solutions by Addition
- Examples
- Example 1: A System with One Solution
- Example 2: A System with Infinitely Many Solutions
- Example 3: A System with Decimals
- Example 5: Using a System to Find the Equation of a Line
- Bonus Videos
- Bonus 1: Systems of Equations: Solutions by Addition
- Bonus 2: Systems of Equations: Solutions by Addition
10.4 Applications: Distance- Rate- Time, Number Problems, Amounts and Costs
- Examples
- Example 1: Distance-Rate-Time (Rates Unknown)
- Example 2: Distance-Rate-Time (Times Unknown)
- Example 3: Number Problem
- Example 4: Counting Coins
- Example 5: Calculating Age
- Example 6: Amounts and Costs
- Bonus Videos
- Bonus 1: Applications: Distance- Rate- Time, Number Problems, Amounts and Costs
- Bonus 2: Applications: Distance- Rate- Time, Number Problems, Amounts and Costs
10.5 Applications: Interest and Mixture
11.1 Exponents I
- Examples
- Example 1: Product Rule for Exponents
- Example 2: Product Rule for Exponents
- Example 3: The Exponent 0
- Example 4: Quotient Rule for Exponents
- Example 5: Dividing Terms with Coefficients
- Example 6: Negative Exponents
- Example 7: Combining Rules for Exponents
- Bonus Videos
- Bonus 1: Exponents I
- Bonus 2: Exponents I
11.2a Exponents II
- Examples
- Example 1: Power Rule for Exponents
- Example 2: Rule for Power of a Product
- Example 3: Rule for Power of a Quotient
- Example 4: Using Combinations of Rules for Exponents
- Example 5: Two Approaches with Fractional Expressions and Negative Exponents
- Example 6: A More Complex Example
- Bonus Videos
- Bonus 1: Exponents II
- Bonus 2: Exponents II
11.2b Scientific Notation
11.3 Introduction to Polynomials
11.4 Addition and Subtraction with Polynomials
11.5 Multiplication with Polynomials
11.6a The FOIL Method
- Examples
- Example 1: FOIL Method
- Bonus Videos
- Bonus 1: The FOIL Method
- Bonus 2: The FOIL Method
11.6b Special Products of Binomials
11.7a Division by a Monomial
11.7b The Division Algorithm
12.1a Greatest Common Factor of Two or More Terms
12.1b Greatest Common Factor of a Polynomial
12.1c Factoring Expressions by Grouping
12.2 Factoring Trinomials: x^2 + bx + c
12.3a Factoring Trinomials by Trial and Error
12.3b Factoring Trinomials by the ac- Method
12.4a Special Factorizations - Squares
12.4b Special Factorizations - Cubes
12.5 Additional Factoring Practice
- Bonus Videos
- Bonus 1: Additional Factoring Practice
12.6 Solving Quadratic Equations by Factoring
- Examples
- Example 1: Solving Factored Quadratic Equations
- Example 2: Solving Quadratic Equations by Factoring
- Example 4: Solving Higher Degree Equations
- Example 5: Using the Factor Theorem to Find Equations with Given Roots
- Bonus Videos
- Bonus 1: Solving Quadratic Equations by Factoring
- Bonus 2: Solving Quadratic Equations by Factoring
12.7 Applications of Quadratic Equations
13.1a Defining Rational Expressions
13.1b Multiplication and Division with Rational Expressions
13.2 Addition and Subtraction with Rational Expressions
- Examples
- Example 1: Adding Rational Expressions with a Common Denominator
- Example 2: Adding Rational Expressions with Different Denominators
- Example 4: Subtracting Rational Expressions with a Common Denominator
- Example 5: Subtracting Rational Expressions with Different Denominators
- Bonus Videos
- Bonus 1: Addition and Subtraction with Rational Expressions
- Bonus 2: Addition and Subtraction with Rational Expressions
- Bonus 3: Addition and Subtraction with Rational Expressions
13.3 Complex Fractions and Order of Operations
- Examples
- Example 1: First Method for Simplifying Complex Fractions
- Example 2: First Method for Simplifying Complex Fractions
- Example 3: Second Method for Simplifying Complex Fractions
- Example 4: Simplifying Complex Algebraic Expressions
- Bonus Videos
- Bonus 1: Complex Fractions and Order of Operations
- Bonus 2: Complex Fractions and Order of Operations
13.4 Solving Equations with Rational Expressions
- Examples
- Example 1: Solving Equations with Rational Expressions
- Example 3: Solving a Formula for a Specified Variable
- Example 4: Similar Triangles
- Bonus Videos
- Bonus 1: Solving Equations with Rational Expressions
- Bonus 2: Solving Equations with Rational Expressions
- Bonus 3: Solving Equations with Rational Expressions
13.5 Applications: Rational Expressions
13.6 Variation
14.1 Evaluating Radicals
14.2 Simplifying Radicals
- Examples
- Example 1: Simplifying Numerical Expressions with Square Roots
- Example 2: Simplifying Square Roots with Variables
- Example 3: Simplifying Square Roots
- Example 4: Simplifying Expressions with Cube Roots
- Bonus Videos
- Bonus 1: Simplifying Radicals
- Bonus 2: Simplifying Radicals
- Bonus 3: Simplifying Radicals
14.3a Addition and Subtraction with Radicals
14.3b Multiplication with Radicals
14.4 Rationalizing Denominators
14.5 Solving Radical Equations
14.6 Rational Exponents
- Examples
- Example 1: Evaluating Principal Roots
- Example 2: Conversion Between Exponential Notation and Radical Notation
- Example 3: Simplifying Expressions with Rational Exponents
- Example 4: Simplifying Radical Notation by Changing to Exponential Notation
- Bonus Videos
- Bonus 1: Rational Exponents
- Bonus 2: Rational Exponents
- Bonus 3: Rational Exponents
14.7 Functions with Radicals
A.1 U.S. Measurements
A.2a Metric System: Length and Area
- Examples
- Example 1: Converting Metric Units of Length
- Example 2: Converting Metric Units of Length
- Example 3: Converting Metric Units of Length
- Example 4: Converting Metric Units of Length
- Bonus Videos
- Bonus 1: Metric System: Length and Area
- Bonus 2: Metric System: Length and Area
- Bonus 3: Metric System: Length and Area
A.2b Metric System: Weight and Volume
- Examples
- Example 1: Equivalent Measures of Mass
- Example 2: Equivalent Measures of Mass
- Example 3: Equivalent Measures of Volume
- Example 4: Equivalent Measures of Volume
- Example 5: Equivalent Measures of Liquid Volume
- Example 6: Equivalent Measures of Liquid Volume
- Bonus Videos
- Bonus 1: Metric System: Weight and Volume
- Bonus 2: Metric System: Weight and Volume
- Bonus 3: Metric System: Weight and Volume
A.3 U.S. to Metric Conversions
- Examples
- Example 1: Equivalent Measures of Temperature
- Example 2: Converting Measures of Temperature
- Example 3: Converting Measures of Temperature
- Example 4: Converting Measures of Length
- Example 5: Converting Measures of Length
- Example 6: Converting Measures of Length
- Example 7: Converting Measures of Length
- Example 8: Converting Measures of Area
- Example 9: Converting Measures of Area
- Example 10: Converting Measures of Area
- Example 11: Converting Measures of Area
- Example 12: Converting Measures of Liquid Volume
- Example 13: Converting Measures of Liquid Volume
- Example 14: Converting Measures of Liquid Volume
- Example 15: Converting Measures of Volume
- Example 16: Converting Measures of Mass
- Example 17: Converting Measures of Mass
- Bonus Videos
- Bonus 1: U.S. to Metric Conversions
A.4a Solving Absolute Value Equations
A.4b Solving Absolute Value Inequalities
A.5 Synthetic Division
A.6 Systems of Linear Inequalities
A.7 Systems of Linear Equations: Three Variables
A.8 Introduction to Complex Numbers
- Examples
- Example 1: Square Roots of Negative Numbers
- Example 2: Real and Imaginary Parts
- Example 3: Solving Equations
- Example 4: Addition and Subtraction with Complex Numbers
- Bonus Videos
- Bonus 1: Introduction to Complex Numbers
- Bonus 2: Introduction to Complex Numbers
- Bonus 3: Introduction to Complex Numbers