Join Professor Nancy Fung with her 10+ years of teaching experience to gain a solid foundation in Pre-Algebra. She specializes in taking complex math ideas and making them understandable with clear explanations and step-by-step examples.

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I. Variables and Algebraic Expressions

  Numerical Expressions 13:41
   Intro 0:00 
   What You'll Learn and Why 0:08 
    Topics Overview 0:09 
   Vocabulary 0:22 
    Order of Operations 0:26 
    Numerical Expression 1:03 
    Simplify 1:27 
   Simplifying an Expression 1:44 
    Example 1: Simplify the Expression 1:45 
   Simplifying an Expression 3:26 
    Example 2: Simplify the Expression 3:27 
   Using an Expression to Solve a Problem 4:29 
    Example 3: Babysitting 4:33 
   Using an Expression to Solve a Problem 6:14 
    Example 4: Shopping 6:17 
   Extra Example 1: Simplify the Expression 7:35 
   Extra Example 2: Simplify the Expression 8:55 
   Extra Example 3: Finding Total Cost 10:02 
   Extra Example 4: Finding Total Cost 11:44 
  Algebraic Expressions 9:11
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:16 
    Variable 0:19 
    Algebraic Expression 0:30 
    Evaluate 0:51 
   Modeling an Algebraic Expression 1:16 
    Model the Expression 2x + 4 1:17 
   Evaluating an Algebraic Expression 1:47 
    Evaluate 3x - 7 for x = 8.2 1:48 
   Evaluating an Algebraic Expression 2:45 
    Evaluate (3.7 + x) ÷ 2 for x = 9.6 2:46 
   Using a Table to Evaluate an Expression 4:10 
    Example: Pairs of Shoes 4:13 
   Extra Example 1: Evaluate the Expression 5:46 
   Extra Example 2: Evaluate the Expression 6:06 
   Extra Example 3: Perimeter of a Rectangle 6:46 
   Extra Example 4: Finding Income 7:40 
  Writing Expressions 8:24
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:15 
    Addition 0:26 
    Subtraction 1:04 
    Multiplication 2:06 
    Division 2:31 
   Translating Words to Expressions 3:02 
    Example: 9 Less than Twice a Number 3:08 
   Writing an Algebraic Expression 3:58 
    Example: Cost of Bowling 4:07 
   Extra Example 1: Writing Expressions 5:14 
   Extra Example 2: Writing Expressions 6:06 
   Extra Example 3: Writing Expressions 7:11 
   Extra Example 4: Writing Expressions 7:58 
  Estimating for Reasonableness 10:20
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:16 
    Compatible Numbers 0:17 
   Estimating by Rounding 1:08 
    Estimate 36 + 6 + 58 1:30 
    Estimate 94 - 35 - 42 2:29 
   Estimating with Compatible Numbers 3:02 
    Estimate 297 ÷ 17 3:17 
    Estimate 9 Times 38 3:39 
   Estimating for Reasonableness 4:13 
    Example: Total Cost of the Items 4:15 
   Extra Example 1: Estimating with Compatible Numbers 6:02 
   Extra Example 2: Estimating by Rounding 7:05 
   Extra Example 3: Estimating for Reasonableness 7:27 
   Extra Example 4: Estimating for Reasonableness 9:15 
  Properties of Numbers 12:01
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:16 
    Commutative Properties: Addition and Multiplication 0:21 
    Associative Properties: Addition and Multiplication 1:46 
   Vocabulary Cont. 3:08 
    Identity Properties: Addition and Multiplication 3:09 
   Recognizing Properties 3:55 
    Examples: Which Property is Illustrated? 3:58 
   Using Properties of Numbers 5:07 
    Using Mental Math to Find the Total Cost 5:18 
   Using Properties of Numbers 6:29 
    Using Mental Math to Simplify 6:30 
   Extra Example 1: Using Properties of Numbers 8:29 
   Extra Example 2: Using Properties of Numbers 9:06 
   Extra Example 3: Using Properties of Numbers 10:02 
   Extra Example 4: Using Properties of Numbers 10:32 
  Distributive Property 9:40
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:15 
    Distributive Property 0:16 
   Using the Distributive Property 1:32 
    Example: 8 ( 9 + 11 ) 1:35 
   Using the Distributive Property 2:58 
    Example: 7 ( 12 - h ) 2:59 
    Example: ( m + 2 ) 5 3:20 
   Distributive Property in Mental Math 3:34 
    Example: Finding Total Cost 3:38 
   Extra Example 1: Summer Job 4:55 
   Extra Example 2: Total Cost 6:03 
   Extra Example 3: Fundraiser 7:36 
   Extra Example 4: Tomato Plants 8:24 

II. Integers and Exponents

  Integers and Absolute Value 11:35
   Intro 0:00 
   What You'll Learn and Why 0:06 
    Topics Overview 0:10 
   Vocabulary 0:21 
    Opposites 0:27 
    Integers 1:03 
    Absolute Value 1:23 
   Vocabulary 2:21 
    Number Line 2:23 
   Finding Absolute Value 2:35 
    Example: Absolute Value 2:36 
   More Examples 4:05 
    Example: Absolute Value of 5 4:06 
    Example: Absolute Value of Negative 2 4:15 
   Comparing Integers 4:29 
    Boiling Points of Elements 4:34 
   Comparing Integer Examples 6:00 
    Example 1: Comparing Integers 6:04 
    Example 2: Comparing Integers 6:17 
    Example 3: Comparing Integers 6:30 
   Comparing Integer Examples 6:49 
    Comparing Temperature 6:53 
   Extra Example 1: Simplify Absolute Value 8:13 
   Extra Example 2: Simplify Absolute Value 9:01 
   Extra Example 3: Simplify Absolute Value 9:29 
   Extra Example 4: Simplify Absolute Value 10:49 
  Adding Integers 10:20
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:26 
    Integers 0:30 
   Adding Positive Integers 0:55 
    Example : -3 + -7 1:01 
    Example : +11 + 8 1:06 
    Example : 2 + (+6) 1:21 
   Adding Negative Integers 1:43 
    Example: -3 + -7 1:48 
    Example: -21 + -3 2:05 
    Example: -11 + (-4) 2:41 
   Adding Integers with Opposite Signs 3:01 
    Using a Number Line: -8 + 10 3:52 
    Using a Number Line: 4 + (-6) 4:36 
   Adding Integers with Opposite Signs 5:39 
    Using Absolute Value: -18 + 7 5:48 
   Extra Example 1: Adding Integers 6:33 
   Extra Example 2: Adding Integers 7:23 
   Extra Example 3: Money Problem 8:46 
   Extra Example 4: Measurement Problem 9:15 
  Subtracting Integers 12:01
   Intro 0:00 
   What You'll Learn and Why 0:06 
    Topics Overview 0:07 
   Vocabulary 0:21 
    Integers 0:25 
    Opposites 0:47 
   Rules for Multiplying Signs 1:18 
   Using a Number Line 2:00 
    Example: 2 - 5 2:25 
   Other Examples 2:52 
    Using Number Line: 10 - (-13) 3:02 
    Rewriting Absolute Value 4:51 
   Extra Example 1: Subtracting Integers 5:48 
   Extra Example 2: Temperature 7:26 
   Extra Example 3: Depth 8:51 
   Extra Example 4: Change in Yards 11:09 
  Multiplying Integers 14:28
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:43 
    Integers 0:47 
    Opposites 1:03 
   Repeated Addition 1:41 
    Example 1: Using a Number Line 1:43 
   More Examples 3:28 
    Example 2: Using a Number Line 3:30 
   Using a Number Line 4:45 
    Example 3: Using a Number Line 4:46 
    Example 4: Using a Number Line 5:59 
   Rules for Multiplying Same Sign Integers 7:20 
    Arithmetic 7:35 
    Algebra 8:00 
   Rules for Multiplying Different Signs Integers 8:17 
    Arithmetic 8:29 
    Algebra 8:58 
   Multiplying Integer Examples 9:20 
    Examples of Multiplying Integers 9:21 
   Using Multiplication of Integers to Solve a Problem 10:07 
    Elevation 10:12 
    Temperature 11:21 
   Determine the Sign of the Product 12:19 
    Example 5: Determine the Sign 12:20 
    Example 6: Determine the Sign 12:50 
   Extra Example 1: Product of Three Negative Numbers 13:07 
   Extra Example 2: Product of Four Negative Numbers 13:45 
   Extra Example 3: Product of Five Negative Numbers 13:58 
   Extra Example 4: Product of 103 Negative Numbers 14:13 
  Dividing Integers 20:18
   Intro 0:00 
   What You'll Learn and Why 0:06 
    Topics Overview 0:07 
   Vocabulary 0:27 
    Quotient 0:30 
   Rules for Dividing Integers 0:49 
    Arithmetic (Same Sign Integers) 1:03 
    Algebraic (Same Sign Integers) 1:36 
   Rules for Dividing Integers, cont. 2:06 
    Arithmetic (Different Signs Integers) 2:14 
    Algebraic (Different Signs Integers) 2:41 
   Dividing Integer Examples 3:24 
    Dividing Integers: 14 ÷ 7 3:30 
    Dividing Integers: 45 ÷ (-9) 3:37 
   Dividing Integer Examples 3:51 
    Dividing Integers: (-105) ÷ (-15) 3:55 
    Dividing Integers: (-42) ÷ 6 5:07 
   Average Rate of Change 5:17 
    Using Integers to Represent the Situation 5:25 
    Example: Spend $360 in 6 Days 5:40 
    Example: Runs 1000 Feet in 4 Minutes 6:30 
   Average Rate of Change Word Problems 7:27 
    Example: Average Decrease in Value 7:32 
   Average Rate of Change Word Problems 9:19 
    Example: Average Increase in Stock 9:23 
   Average Rate of Change Word Problems 10:46 
    Example: Average Increase in Speed 10:51 
   Dividing Integers 12:00 
    Odd Number of Negatives 12:03 
    Even Number of Negatives 12:49 
   Order of Operations and Sign of Final Answer 13:50 
    Example: -120 ÷ (-5) ÷ -4 13:56 
   Extra Example 1: Order of Operations 14:48 
   Extra Example 2: Evaluate the Expression 15:29 
   Extra Example 3: Rate of Change 17:18 
   Extra Example 4: Rate of Evaporation 19:22 
  Positive Exponents 20:05
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:26 
    Factor 0:32 
    Exponent 1:16 
   Vocabulary 1:57 
    Base 1:58 
    Power 2:18 
   Writing Expressions with Exponents 2:31 
    Example 1: Writing Expressions with Exponents 2:36 
    Example 2: Writing Expressions with Exponents 3:00 
   Writing Expressions with Exponents 3:20 
    Example 3: Writing Expressions with Exponents 3:25 
    Example 4: Writing Expressions with Exponents 3:53 
   Simplifying Power 4:06 
    Example 5: Simplifying Power 4:14 
    Example 6: Simplifying Power 5:03 
   Simplifying Power 6:06 
    Example 7: Simplifying Power 6:09 
    Example 8: Simplifying Power 6:50 
   Order of Operations 7:24 
    PEMDAS 7:26 
   Order of Operations 8:32 
    Multiplying/Dividing and Adding/Subtracting 8:34 
   Evaluating Expressions with Exponents 10:07 
    Example 9: Evaluating Expressions with Exponents 10:11 
    Example 10: Evaluating Expressions with Exponents 11:07 
   Extra Example 1: Evaluate 12:33 
   Extra Example 2: Evaluate 13:42 
   Extra Example 3: Height of the Rocket 15:00 
   Extra Example 4: Number of Cells 16:38 

III. Equations and Applications

  Solving Addition Equations 21:47
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:18 
    Equation 0:21 
    Isolate 1:00 
    Inverse Operations 1:18 
   Subtraction Property of Equality 1:59 
    Arithmetic 2:12 
    Algebraic 2:53 
   Inverse Operations 3:32 
    Example: 38 + x = 42 3:40 
    Using Substitution to Check Answer 4:43 
   Inverse Operations 5:19 
    Example: y + 7.3 = 9.1 5:22 
    Using Substitution to Check Answer 5:53 
   Draw a Model 6:26 
    Weight Gain 6:42 
   Draw a Model 8:20 
    Mountain Climber 8:23 
   Examples by Writing Equations 10:25 
    Calculating Profit: Sweat Shirt 10:30 
   Examples by Writing Equations 11:37 
    Calculating Profit: Car Dealer 11:38 
   Extra Example 1: Inverse Operation 14:21 
   Extra Example 2: Inverse Operation 15:37 
   Extra Example 3: Real Estate 17:23 
   Extra Example 4: Birth Date 20:06 
  Solving Subtraction Equations 19:34
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:07 
   Vocabulary 0:23 
    Addition Property of Equality: Arithmetic 0:31 
    Addition Property of Equality: Algebraic 1:14 
    Subtraction Property of Equality: Arithmetic 1:54 
    Subtraction Property of Equality: Algebraic 2:19 
   Solving an Equation by Adding 3:05 
    Example: b - 2 = 2 3:22 
    Example: 23 - j = 12 4:00 
   Solving an Equation by Adding 5:29 
    Example: a - 7.9 = 17.9 5:32 
    Example: -5.6 + x = 10.2 6:33 
   Solving an Equation by Writing an Equation 7:42 
    Example: Bank Withdrawal 7:48 
   Solving an Equation by Writing an Equation 9:21 
    Example: Temperature 9:23 
   Extra Example 1: Solving Subtraction Equations 11:50 
   Extra Example 2: Solving Subtraction Equations 12:46 
   Extra Example 3: Money 13:40 
   Extra Example 4: Selling Price 16:01 
  Solving Multiplication and Division Equations 26:11
   Intro 0:00 
   What You'll Learn and Why 0:06 
    Topics Overview 0:07 
   Vocabulary 0:19 
    Division Property of Equality: Arithmetic 0:27 
    Division Property of Equality: Algebraic 1:05 
    Multiplication Property of Equality: Arithmetic 1:38 
    Multiplication Property of Equality: Algebraic 2:07 
   Vocabulary 2:49 
    Inverse Operations 2:53 
   Solve the Equation Using Division 3:09 
    Example: 8x = 56 3:12 
    Example: -6y = 42 3:59 
   Solve the Equation Using Division 4:47 
    Example: 0.9c = 1.89 4:53 
   Solve the Equation Using Division 6:11 
    Example: Saving Money 6:17 
    Example: Soccer Team 8:14 
   Solve the Equation Using Multiplication 9:56 
    Example: a/7 = 9 10:04 
    Example: t/1.7 = 6 10:52 
   Solve the Equation Using Multiplication 12:09 
    Example: y/-45 = 3.2 12:17 
    Example: -p = 14 13:13 
   Solve the Equation Using Multiplication 14:10 
    Example: Distant 14:16 
   Extra Example 1: Solve the Equation 15:58 
   Extra Example 2: Solve the Equation 17:25 
   Extra Example 3: Height of an Elephant 20:55 
   Extra Example 4: Money 23:07 
  Solving Two-Step Equations 19:10
   Intro 0:00 
   What You'll Learn and Why 0:06 
    Topics Overview 0:07 
   Two-Step Equation Involvement 0:19 
   Solving Two-Step Equations 0:41 
    Example: 8y - 11 = 32 0:45 
    Example: 32 = t/5 + 8 2:55 
   Solving Two-Step Equations 4:49 
    Example: Recommended Daily Intake 4:59 
   Solving Two-Step Equations 7:01 
    Example: Cost of Each Ride 7:02 
   Extra Example 1: Solving Two-Step Equations 10:13 
   Extra Example 2: Solving Two-Step Equations 12:54 
   Extra Example 3: Length of Phone Call 13:56 
   Extra Example 4: Cost of Owning a Pet 16:40 
  Square Roots 12:16
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:16 
    Perfect Square 0:20 
    Square Root 0:46 
   Square Roots 1:13 
    Every Positive Number has Two Square Roots 1:14 
    Square Roots of a Number are Opposites 1:40 
   Square Root Symbol 1:54 
    Positive Square Root of a Number 1:56 
    Compare: √25 and -√25 2:08 
   Find the Square Root 2:50 
    Example: Square Root of 81 2:52 
    Example: Square Root of 121 3:13 
   Estimating Square Roots 3:29 
    Example: Square Root of 23 3:35 
    Example: Square Root of 390 4:13 
    Example: Negative Square Root of 125 4:50 
   Estimating Square Roots 5:27 
    Estimating Length 5:31 
   Simplifying Square Roots 7:05 
    Example: Square Root of 36 7:08 
    Example: Simplifying Square Roots 7:47 
   Extra Example 1: Estimate the Length 8:21 
   Extra Example 2: Simplify the Expression 9:05 
   Extra Example 3: Estimate the Length 9:50 
   Extra Example 4: Simplify the Expression 10:34 
  Pythagorean Theorem 14:49
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:36 
    Right Triangle 0:39 
    Legs 0:57 
    Hypotenuse 1:02 
   Pythagorean Theorem 1:11 
    Arithmetic Example 1:12 
    Algebra Example 2:41 
   Find the Length of the Hypotenuse 3:04 
    Example 1: Hypotenuse of a Triangle 3:07 
    Example 2: Hypotenuse of a Triangle 4:30 
   Find the Length of the Hypotenuse 6:18 
    Example 3: Hypotenuse of a Right Triangle 6:19 
   Extra Example 1: Square Roots 8:41 
   Extra Example 2: Perimeter 9:43 
   Extra Example 3: Length of Screen 11:58 
   Extra Example 4: Length of Wire 13:14 
  Using the Pythagorean Theorem 16:15
   Intro 0:00 
   What You'll Learn and Why 0:07 
    Topics Overview 0:08 
   Vocabulary 0:30 
    The Pythagorean Theorem 0:32 
   Find the Length of a Leg 1:14 
    Example 1: Length of Ramp 1:19 
    Example: 2 Length of Platform 4:22 
   Identifying a Right Triangle 6:13 
    Example 3: Determine Right Triangle 6:14 
    Example 4: Determine Right Triangle 8:08 
   Extra Example 1: Find the Missing Leg Length 10:04 
   Extra Example 2: Length of Ladder 11:39 
   Extra Example 3: Determine Given Lengths 13:04 
   Extra Example 4: Length of Pole 14:20 

IV. Rational Numbers

  Prime Factorization 16:40
   Intro 0:00 
   What You'll Learn and Why 0:06 
    Topics Overview 0:07 
   Vocabulary 0:23 
    Factor 0:24 
    Composite Number 1:04 
   Vocabulary 1:17 
    Prime Number 1:18 
    Prime Factorization 1:57 
   Divisibility Rules 2:54 
    Divisibility Rules for 2, 3, 4 ,5 ,6, 9 and 10 2:55 
   Finding Factors 4:56 
    Possible Arrangements 4:59 
   Finding Factors 6:06 
    How Many Oranges? 6:07 
   Prime or Composite 6:43 
    Prime or Composite: 48 6:47 
    Prime or Composite: 53 7:09 
    Prime or Composite: 57 7:35 
   Prime Factorization 8:16 
    Prime Factorization of 42 8:23 
    Prime Factorization of 84 8:47 
   Find the Number 9:23 
    Find the Number with the Given Prime Factorization 9:24 
   Extra Example 1: Prime or Composite 11:04 
   Extra Example 2: Prime Factorization of 72 12:23 
   Extra Example 3: Marching Arrangements 12:56 
   Extra Example 4: Flowers Arrangements 14:50 
  Greatest Common Divisor 14:16
   Intro 0:00 
   What You'll Learn and Why 0:07 
    Topics Overview 0:08 
   Vocabulary 0:41 
    Factor 0:43 
    Common Divisor 1:00 
    Greatest Common Divisor (GCD)/ Greatest Common Factor (GCF) 1:16 
   Find the GCD by Listing Divisors 1:34 
    GCD of 27 and 36 1:46 
    GCD of 18 and 49 2:52 
   Prime Factorization to Find GCD 3:30 
    GCD of 42 and 72 3:42 
    GCD of 21 and 63 4:46 
   GCD in Word Problems 5:30 
    Greatest Number of Police Officers 5:32 
   GCD in Word Problems 7:15 
    Cutting Two Pipes 7:16 
   Extra Example 1: GCD of 32, -24, 40 8:08 
   Extra Example 2: How Many Groups? 9:41 
   Extra Example 3: GCD of Two Prime Numbers 11:34 
   Extra Example 4: How Many Children? 12:26 
  Equivalent Fractions 11:22
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:21 
    Equivalent Fractions 0:23 
    Simplest Form 1:15 
   Creating Equivalent Fractions 1:59 
    Method to Create Equivalent Fractions 2:00 
   Equivalent Fractions 2:18 
    Write Two Fractions Equivalent to 5/8 2:22 
    Write Two Fractions Equivalent to 2/14 3:12 
   GCD to Simplify 3:51 
    Find the GCD of 24 and 32 4:03 
    Write 24/32 in Simplest Form 4:43 
    Write -27/45 in Simplest Form 5:08 
   Writing a Fraction 6:04 
    Example: What Fraction of the Vehicles are Trucks? 6:11 
   Writing a Fraction 7:45 
    Example: What Fraction of the Seats are Empty? 7:55 
   Extra Example 1: Pizza 9:00 
   Extra Example 2: Driving Time 9:28 
   Extra Example 3: Simplest Form 10:29 
   Extra Example 4: Basketball Team 10:52 
  Equivalent Forms of Rational Numbers 20:47
   Intro 0:00 
   What You'll Learn and Why 0:06 
    Topics Overview 0:08 
   Vocabulary 0:30 
    Rational Number 0:31 
    Terminating Decimal 0:53 
    Repeating Decimal 1:04 
   Converting Decimals to Fractions 1:22 
    Write 0.47 as a Fraction 1:26 
    Write 0.48 as a Fraction 2:03 
    Write 0.245 as a Fraction 3:21 
   Converting Decimals to Fractions 4:20 
    Write 0.08 as a Fraction 4:30 
    Write 0.8 as a Fraction 4:53 
   Converting Fractions to Decimals 5:26 
    Write 1/2 as a Decimal 5:30 
    Write 6/33 as a Decimal 6:12 
    Write -9/5 as a Decimal 7:39 
   Converting Fractions to Decimals in Word Problems 8:19 
    Batting Average 8:23 
   Converting Fractions to Decimals in Word Problems 11:22 
    Cooking Festival 11:26 
   Extra Example 1: Write 0.038 as a Fraction 14:45 
   Extra Example 2: Write -13/7 as a Decimal 15:35 
   Extra Example 3: Batting Average 16:38 
   Extra Example 4: Rational Number 19:55 
  Comparing and Ordering Rational Numbers 20:21
   Intro 0:00 
   What You'll Learn and Why 0:07 
    Topics Overview 0:08 
   Vocabulary 0:29 
    Least Common Multiple (LCM) 0:30 
    Least Common Denominator (LCD) 1:50 
   Ordering Rational Numbers 2:45 
    Numbers as Decimals 2:46 
    Numbers as Fractions 5:36 
   Compare Each Pair of Numbers 8:10 
    Compare 3/4 and 4/5 8:11 
    Compare 3/11 and 1/6 8:44 
   Comparing rational Numbers in Word Problems 9:19 
    Cookies or French Fries? 9:22 
   Extra Example 1: Least to Greatest (Decimals) 11:32 
   Extra Example 2: Least to Greatest (Fractions) 13:35 
   Extra Example 3: Music Notes 15:54 
   Extra Example 4: Chocolate or Fruit 17:16 

V. Rational Number Operations

  Adding Rational Numbers 15:04
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:19 
    Least Common Multiple (LCM) 0:20 
    Least Common Denominator (LCD) 0:28 
   Adding Fractions with Unlike Denominators 1:22 
    Example: 3/4 + 2/5 1:28 
    Example: -3/5 + 1/7 2:29 
   Adding Different Forms of Rational Numbers 3:23 
    Example: Change to Fractions 3:31 
    Example: Change to Decimals 5:14 
   Extra Example 1: Adding Different Forms of Numbers 7:02 
   Extra Example 2: Exercising 10:06 
   Extra Example 3: Adding Different Forms of Numbers 11:20 
   Extra Example 4: Cooking Recipe 13:47 
  Subtracting Rational Numbers 14:40
   Intro 0:00 
   What You'll Learn and Why 0:06 
    Topics Overview 0:07 
   Vocabulary 0:19 
    Least Common Denominator (LCD) 0:20 
   Subtracting with Unlike Denominators 0:41 
    Example: 5/9 - 3/5 0:44 
    Example: 3/4 - 7/8 1:23 
   Subtracting Rational Numbers 1:59 
    Example: 23/4 - 3.5 2:05 
    Example: 11.7 - 3/4 3:39 
   Subtracting Rational Numbers in Word Problems 4:37 
    Puppy's Weight 4:41 
   Extra Example 1: Subtracting with Unlike Denominators 6:48 
   Extra Example 2: Subtracting Rational Numbers 7:27 
   Extra Example 3: Rainfall 10:32 
   Extra Example 4: Decorating Your House 12:06 
  Multiplying Rational Numbers 11:02
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:17 
    Rational Number 0:18 
    Exponent 0:30 
    Power 0:35 
   Multiplying Decimals 0:47 
    Example 1: Multiplying Decimals 0:50 
    Example 2: Multiplying Decimals 1:18 
   Multiplying Rational Numbers in Word Problems 1:51 
    Example: Length of Pipes 1:56 
   Raising a Fraction to a Power 2:58 
    Examples: Raising Fractions to Power 2:59 
   Extra Example 1: Multiplying Fractions 4:45 
   Extra Example 2: Compare Fractions 5:34 
   Extra Example 3: Flour 7:28 
   Extra Example 4: Income 8:50 
  Dividing Rational Numbers 12:08
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:22 
    Reciprocal 0:26 
   Finding the Reciprocal 0:56 
    Example: Reciprocal of 2/3 1:00 
    Example: Reciprocal of 8 1:04 
    Example: Reciprocal of -1/2 1:10 
   Dividing Rational Numbers 1:28 
    Example 1: Dividing Rational Numbers 1:35 
    Example 2: Dividing Rational Numbers 2:09 
    Example 3: Dividing Rational Numbers 2:35 
   Dividing Rational Numbers in Word Problems 3:56 
    Example: Chocolate Peanuts 4:00 
   Extra Example 1: Dividing Decimals 5:17 
   Extra Example 2: Dividing Fractions 7:09 
   Extra Example 3: Search Committee 8:34 
   Extra Example 4: Stake 10:18 
  Solving Equations by Adding or Subtracting 13:43
   Intro 0:00 
   What You'll Learn and Why 0:06 
    Topics Overview 0:07 
   What You'll Learn and Why 0:23 
    Isolate 0:24 
   Solving Equations with Fractions 0:41 
    Example: n + 1/2 = 11/12 0:44 
    Example: 3/5 - a = 13/20 1:34 
   Writing Equations with Fractions 3:08 
    Example: Thickness 3:11 
   Extra Example 1: Solving Equations 6:01 
   Extra Example 2: Solving Equations 6:58 
   Extra Example 3: School Lunches 8:23 
   Extra Example 4: Fashion Designer 10:44 
  Solving Equations by Multiplying 11:10
   Intro 0:00 
   What You'll Learn and Why 0:06 
    Topics Overview 0:07 
   Vocabulary 0:20 
    Multiplicative Inverse 0:21 
   Solve Each Equation 0:51 
    Example 1: Solve the Equation 0:57 
    Example 2: Solve the Equation 2:39 
   Writing Multiplication Equations 3:30 
    Example: Water Level 3:34 
   Extra Example 1: Solve the Equation 5:15 
   Extra Example 2: Solve the Equation 6:28 
   Extra Example 3:Money 7:26 
   Extra Example 4: Solve the Equation 9:45 
  Zero and Negative Exponents 6:41
   Intro 0:00 
   What You'll Learn and Why 0:06 
    Topics Overview 0:07 
   Vocabulary 0:22 
    Zero Exponents: Arithmetic Definition 0:27 
    Zero Exponents: Algebra Definition 0:39 
    Negative Exponents: Arithmetic Definition 0:46 
    Negative Exponents: Algebra Definition 1:03 
   Simplifying Exponents 1:18 
    Examples: Simplifying Exponents 1:21 
   Fractions and Negative Exponents 2:41 
    Examples: Fractions and Negative Exponents 2:45 
   Extra Example 1: Negative Exponent 3:58 
   Extra Example 2: Zero Exponent 4:30 
   Extra Example 3: Fraction and Negative Exponent 4:40 
   Extra Example 4: Subtracting Numbers with Exponents 5:00 

VI. Rates and Proportions

  Ratios 7:05
   Intro 0:00 
   What You'll Learn and Why 0:06 
    Topics Overview 0:07 
   Vocabulary 0:22 
    Ratio 0:23 
    Equivalent Ratios 0:40 
   Writing a Ratio 1:18 
    Write the Ratio in Three Ways 1:21 
   Writing an Equivalent Ratio 2:07 
    Different Ratios Equivalent to 10:12 2:08 
   Writing a Ratio in Simplest Form 2:47 
    Write the Ratio in Simplest Form 2:50 
   Extra Example 1: Write the Ratio 3:32 
   Extra Example 2: Ratio in Simplest Form 4:38 
   Extra Example 3: Write the Ratio 5:08 
   Extra Example 4: Ratio in Simplest Form 5:48 
  Rates 12:45
   Intro 0:00 
   What You'll Learn and Why 0:04 
    Topics Overview 0:05 
   Vocabulary 0:18 
    Rate 0:22 
    Unit Rate 0:40 
   Finding a Unit Rate 1:00 
    Example: Delivery Rate 1:03 
   Using a Unit Rate 1:46 
    Example: Miles and Gallon of Gas 1:49 
   Comparing Unit Rates 2:52 
    Example: Which is the Better Buy 2:58 
   Extra Example 1: Calories 6:30 
   Extra Example 2: Typing Speed 7:22 
   Extra Example 3: Which is the Better Buy 8:23 
   Extra Example 4: Wages 10:48 
  Dimensional Analysis 16:19
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:15 
    Conversion Factor 0:16 
    Dimensional Analysis 0:23 
   Conversion Chart: Length 0:32 
    Conversion Chart: in, ft, yd, and m 0:33 
   Conversion Chart: Weight 0:49 
    Conversion Chart: oz, lb, and t 0:50 
   Conversion Chart: Capacity 0:59 
    Conversion Chart: fl oz, cup, pt, qt, and gal 1:00 
   Converting Units 1:17 
    Example: Convert 1.3 Miles Into Feet 1:18 
   Converting Units 3:14 
    Example: Convert Pounds to Ounces 3:15 
    Example: Convert Cups to Fluid Ounces 3:52 
   Converting Units in a Rate 4:30 
    Unit Rate: 2,200 m in 17.2 min 4:31 
   Using Dimensional Analysis 8:06 
    Example: Planning Project 8:07 
   Extra Example 1: Converting Units 9:15 
   Extra Example 2: Unit Rate 10:31 
   Extra Example 3: Planning Project 12:15 
   Extra Example 4: Converting Units 13:45 
  Application of Rates 17:42
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:18 
    Rate 0:22 
    Unit Rate 0:27 
   Finding Total Distance 0:32 
    Example: Total Distance 0:33 
   Finding Average Speed 2:49 
    Example: Car's Average Speed 2:53 
   Using a Unit Rate 6:31 
    Example: Weight and Spring 6:32 
   Extra Example 1: Total Distance 8:08 
   Extra Example 2: Bird's Average Speed 10:33 
   Extra Example 3: Cost of Shirts 13:37 
   Extra Example 4: Cost of Bottles 15:22 
  Proportions 14:36
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:16 
    Proportion 0:17 
    Cross Products 0:45 
   Identifying a Proportion 11:28 
    Example: Do the Ratios Form a Proportion? 11:29 
   Solving Proportions Using Two Methods 2:47 
    Example: x/4 = 12/21 3:03 
    Example: 20/y = 15/9 4:43 
   Solving Proportions in Word Problems 5:56 
    Example: Find the Unit Rate of Exchange 6:00 
   Extra Example 1: Does the Ratio Form a Proportion? 9:55 
   Extra Example 2: Solving Proportions 10:53 
   Extra Example 3: Find the Length of the Photo 11:33 
   Extra Example 4: Distance 12:59 

VII. Applications of Percent

  Fractions, Decimals, and Percents 10:13
   Intro 0:00 
   What You'll Learn and Why 0:06 
    Topics Overview 0:07 
   Vocabulary 0:24 
    Percent 0:25 
   Compare a Fraction to a Decimal to a Percent 0:35 
    Example: 31 out of 100 0:39 
   Write a Percent as a Fraction 1:11 
    Example: Write 47% as a Fraction 1:12 
    Example: Write 25% as a Fraction 1:59 
   Write a Fraction as a Percent 2:38 
    Example: Write 2/10 as a Percent 2:39 
    Example: Write 57/100 as a Percent 3:22 
    Example: Write 3/25 as a Percent 3:57 
   Write a Decimal as a Percent 4:48 
    Example: Write 0.85 as a Percent 4:49 
    Example: Write 0.3 as a Percent 5:05 
    Example: Write 0.04 as a Percent 5:17 
   Extra Example 1: Write Percent as Decimal and Fraction 5:34 
   Extra Example 2: Write Fraction as Decimal and Percent 6:47 
   Extra Example 3: Write Percent as Fraction and Decimal 7:41 
   Extra Example 4: Fraction, Percent, and Decimal of Students 8:36 
  Finding a Percent of a Number 8:39
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:20 
    Percent 0:21 
   Finding a Percent 0:26 
    Example: Find 15% of 100 0:27 
    Example: Find 10% of 135 1:08 
   Finding More Percents 2:23 
    Example: Find 8% of 65 2:25 
    Example: Find 120% of 50 2:45 
   Estimating a Percent 3:25 
    Example: Estimate 10% of 31.05 3:38 
    Example: Estimate 15% of 31.05 3:54 
    Example: Estimate 20% of 31.05 4:55 
   Extra Example 1: Find 7% of 120 5:35 
   Extra Example 2: Find 125% of 75 6:01 
   Extra Example 3: Estimate 15% Tip 7:02 
   Extra Example 4: Estimate 20% Tip 8:01 
  Percents and Proportions 15:38
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:23 
    Proportion 0:33 
    Cross Products 0:38 
   Finding Part of a Whole 1:07 
    Method 1: Find 50% of 36 1:11 
    Method 2: Find 50% of 36 2:23 
   Finding Part of a Whole, cont. 3:06 
    Example: Find 65% of 143 3:07 
   Finding the Whole Amount 3:44 
    Example: How Many Students are in 8th Grade? 3:45 
   Finding the Whole Amount, cont. 5:18 
    Example: How Many Students are in the School? 5:19 
   Finding a Percent 6:38 
    Method 1: What Percent of 175 is 105 7:21 
    Method 2: What Percent of 175 is 105 8:49 
   Finding a Percent, cont. 9:57 
    What Percent of 115 is 46? 9:58 
   Extra Example 1: Find 8% of 48 11:09 
   Extra Example 2: 9 is 25% of What Number? 11:34 
   Extra Example 3: How Many Students are in the Class? 12:39 
   Extra Example 4: 66 is What Percent of 55? 14:25 
  Percent of Change 11:27
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:17 
    Percent of Change 0:18 
    Amount of Change/ Original Amount 0:26 
   Finding a Percent of Increase 1:04 
    Example: Find the Percent of Increase 1:06 
   Converting Units 2:56 
    Example: Converting Units and Percent Increase 3:00 
   Finding a Percent of Decrease 5:08 
    Example: Find the Percent of Decrease 5:09 
   Extra Example 1: Find the Percent of Increase 6:32 
   Extra Example 2: Find the Percent of Decrease 7:30 
   Extra Example 3: Find the Percent of Increase 8:28 
   Extra Example 4: Find the Percent of Decrease 10:23 
  Applications of a Percent 12:55
   Intro 0:00 
   What You'll Learn and Why 0:06 
    Topics Overview 0:07 
   Vocabulary 0:22 
    Markup 0:23 
    Selling Price 0:28 
    Formula of Markup 0:32 
    Formula for Discount 1:06 
   Finding a Percent of Markup 1:16 
    Example: Find the Percent of Markup 1:19 
   Finding a Percent of Discount 3:19 
    Example: Find the Percent of Discount 3:21 
   Finding a Sale Price 5:03 
    Example: Find the Sale Price of the Stereo System 5:10 
   Extra Example 1: Find the Percent of Markup 6:39 
   Extra Example 2: Find the Percent of Discount 8:57 
   Extra Example 3: Find the Percent of Discount 9:52 
   Extra Example 4: Find the Percent of Discount 10:44 

VIII. Linear Functions and Graphing

  Graphing in the Coordinate Plane 15:13
   Intro 0:00 
   What You'll Learn and Why 0:06 
    Topics Overview 0:07 
   Vocabulary 0:17 
    Coordinate Plane 0:23 
    y-axis 0:29 
    x-axis 0:33 
    Quadrants 0:37 
   More Vocabulary 0:49 
    Origin 0:50 
    Ordered Pair 0:53 
    x-coordinate 1:00 
    y-coordinate 1:08 
   Labeling Vocabulary 1:24 
    Example: Label the Vocabulary 1:25 
   Graphing Points on a Coordinate Plane 3:08 
    Example: Graph and Label the Locations 3:12 
   Quadrants 6:18 
    Example: Name the Quadrants of Each Ordered Pair 6:23 
   Extra Example 1: Draw and Label 10:18 
   Extra Example 2: Graph the Ordered Pair 11:20 
   Extra Example 3: Graph the Ordered Pair 12:42 
   Extra Example 4: Name the Quadrants of Each Ordered Pair 13:32 
  Length in the Coordinate Plane 18:36
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:18 
    x-coordinate 0:21 
    y-coordinate 0:28 
    Pythagorean Theorem 0:34 
   Finding Lengths of Line Segments 1:02 
    Example: Find the Length of the Horizontal Line Segment 1:05 
   Finding Lengths of Line Segments 3:50 
    Example: Find the Length of the Vertical Line Segment 3:54 
   Finding Distance in the Coordinate Plane 5:59 
    Example: Find the Length of the Hypotenuse 6:02 
   Extra Example 1: Find the Distance Between Two Points 7:36 
   Extra Example 2: Find the Length of the Line Segment 10:13 
   Extra Example 3: Find the Length of the Line Segment 14:28 
   Extra Example 4: How Far is Your School from the Arcade? 16:02 
  Functions 14:29
   Intro 0:00 
   What You'll Learn and Why 0:04 
    Topics Overview 0:05 
   Vocabulary 0:24 
    Function 0:25 
    Function Rule 0:51 
   Evaluating a Function Rule 0:59 
    Example: Table of Input and Output 1:00 
   Using Function Notation 2:56 
    Example: Write the Equation and Evaluate the Cost 2:59 
   Writing Functions 4:40 
    Example: Writing Function 4:41 
   Extra Example 1: Complete the Table 6:02 
   Extra Example 2: Complete the Table and Find the Function 7:38 
   Extra Example 3: Function Notation 9:39 
   Extra Example 4: Write a Function and Find the Total Cost 11:49 
  Graphing Linear Functions 16:02
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:21 
    Solution 0:22 
    Linear Equation 0:29 
    Linear Function 0:44 
   Making a Graph from a Table 1:05 
    Example: Total Savings in Dollars 1:08 
   Graphing a Linear Function 3:03 
    Example: Graph the Linear Function 3:07 
   Extra Example 1: How Much Cereal is Left? 5:42 
   Extra Example 2: Graph the Value 7:45 
   Extra Example 3: Graph the Linear Function 10:17 
   Extra Example 4: Graph the Linear Function 12:28 
  Slope 17:53
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:15 
    Slope Definition 1 0:18 
    Slope Definition 2 0:40 
   Slope 1:20 
    Positive Slope 1:32 
    Negative Slope 1:39 
    Slope of 0 2:10 
    Undefined Slope 2:25 
   Finding the Slope of a Line 3:57 
    Example: Using Rise/Run to Find Slope 3:58 
   Finding the Slope of a Line 6:01 
    Example: Using Coordinates to Find Slope 6:02 
   Finding Slope of a Line With Given Coordinates 9:00 
    Example: Slope of (4,1) and (3, -2) 9:01 
   Extra Example 1: Find the Slope of the Line 10:17 
   Extra Example 2: Find the Slope of the Line 12:19 
   Extra Example 3: Find the Slope of the Line 14:54 
   Extra Example 4: Find the Slope of the Line 16:35 
  Slope and Direct Variation 13:50
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:33 
    Direct Variation 0:34 
   Identifying a Direct Variation 0:47 
    Steps in Identifying a Direct Variation 0:56 
   Slope and Direct Variation 3:01 
    Example: Slope and Direct Variation 3:05 
   Extra Example 1: Direct Variation 6:16 
   Extra Example 2: Direct Variation 7:14 
   Extra Example 3: Graphing Direct Variation 8:10 
   Extra Example 4: Slope and Direct Variation 11:23 

IX. Inequalities

  Writing Inequalities 17:32
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:15 
    Inequality 0:18 
    System of Inequalities 1:31 
    Solution of an Inequality 1:50 
   Writing an Inequality 2:10 
    Example: Price p is More than $6 2:20 
   Writing an Inequality 3:53 
    Example: Wage w is at Least $8.25 3:54 
   Writing a System of Inequalities 5:24 
    Example: System of Inequalities for Wind Speed 5:32 
   Writing a System of Inequalities 9:03 
    Example: Price of a Room in Las Vegas 9:04 
   Identifying Solutions of an Inequality 10:33 
    Example: Driver's Permit 10:37 
   Extra Example 1: Writing Inequalities 12:03 
   Extra Example 2: Writing a System of Inequalities 13:24 
   Extra Example 3: Writing Inequalities 14:51 
   Extra Example 4: Using Inequality to Solve Word Problem 15:31 
  Solving Inequalities by Adding or Subtracting 9:16
   Intro 0:00 
   What You'll Learn and Why 0:07 
    Topics Overview 0:08 
   Vocabulary 0:20 
    Addition Property of Equality 0:31 
    Subtraction Property of Equality 0:43 
    Example: x > 7 0:57 
   Solving an Inequality by Adding 1:33 
    Example: Solve x - 8 = 10 1:37 
    Example: Solve x - 8 < 10 2:05 
   Solving an Inequality by Adding 2:21 
    Example: 2 ≤ t - 5 2:22 
    Example: a - 8 > 15 2:59 
   Solving an Inequality by Subtracting 3:14 
    Example: How Many Students can Board the Bus? 3:22 
   Solving an Inequality by Subtracting 4:13 
    Example: How Many More Tickets can be Sold? 4:14 
   Extra Example 1: Solve the Inequality 5:16 
   Extra Example 2: Solve 8 ≥ 3 + m 5:52 
   Extra Example 3: MP3 Player 6:29 
   Extra Example 4: Write and Solve an Inequality 7:34 
  Solving Inequalities by Dividing 12:15
   Intro 0:00 
   What You'll Learn and Why 0:06 
    Topics Overview 0:07 
   Vocabulary 0:22 
    Division Property of Inequality 0:23 
    Example: 3x > 6 0:37 
   Dividing by a Positive Number 1:08 
    Example: Hotel Elevator 1:11 
   Dividing by a Negative Number 2:29 
    Example: Solve -6x ≥ -18 2:32 
    Example: Suppose x = 2 3:13 
   Dividing by a Negative Number 4:58 
    Example: Solve -3t ≥ 51 5:05 
    Example: Solve -8m < -56 5:24 
   Extra Example 1: Photo Album 5:49 
   Extra Example 2: Banquet 8:05 
   Extra Example 3: Solve -0.5x > 18 9:24 
   Extra Example 4: How Many Crates can the Crane Lift? 10:30 
  Solving Inequalities by Multiplying 14:33
   Intro 0:00 
   What You'll Learn and Why 0:07 
    Topics Overview 0:08 
   Vocabulary 0:17 
    Multiplication Property of Inequality 0:18 
   Multiplying by a Positive Number 1:25 
    Example: Write and Solve an Inequality 1:28 
   Multiplying by a Positive Number 3:38 
    Example: Write and Solve an Inequality 3:39 
   Multiplying by a Negative Number 5:42 
    Example: Solve x/-4 > 28 5:45 
    Example: Solve (-1/2)y < -8 6:10 
    Example: t/-7 < 5 6:42 
   Extra Example 1: Bowling League 7:12 
   Extra Example 2: Street Performers 8:27 
   Extra Example 3: Write and Solve the Inequality 9:52 
   Extra Example 4: Solve and Graph the System of Inequalities 11:26 
  Solving Two-Step Inequalities 14:15
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:15 
    Inequality 0:16 
    Properties of Inequality 0:27 
   Solving Two-Step Inequalities 0:37 
    Example: Solve -2x - 8 > -14 0:41 
    Example: Solve (x/4) - 7 > 25 1:40 
    Example: Solve -5y + 9 ≤ 54 2:12 
   Writing Two-Step Inequalities 3:16 
    Example: How Many Pairs of Socks? 3:21 
   Writing Two-Step Inequalities 5:49 
    Example: How Many Folders? 5:53 
   Extra Example 1: Solve 15 < -3 ( x + 1 ) 7:32 
   Extra Example 2: Solve the Inequalities 8:43 
   Extra Example 3: Muffin 10:37 
   Extra Example 4: Birthday Party 11:51 

X. Exponents and Equations

  Properties of Exponents 12:07
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:26 
    Exponent 0:29 
    Power 0:44 
   Multiplying Powers with the Same Base 1:04 
    Example: Multiplying Powers with the Same Base 1:07 
   Multiplying Expressions with Exponents 2:25 
    Examples 2:26 
   Dividing Powers with the Same Base 3:24 
    Example: Dividing Powers with the Same Base 3:25 
   Dividing Expression with Exponents 3:59 
    Example: How Long Sunlight Takes to Reach the Comet 4:02 
   Dividing Expression with Exponents 6:44 
    Example: How Long Sunlight Takes to Reach Earth 6:45 
   Extra Example 1: Multiplying Expressions with Exponents 8:22 
   Extra Example 2: Dividing Expression with Exponents 8:46 
   Extra Example 3: How Long Sunlight Takes to Reach Saturn 9:12 
   Extra Example 4: Sun's Diameter and Earth's Diameter 10:34 
  Power Rules 11:58
   Intro 0:00 
   What You'll Learn and Why 0:04 
    Topics Overview 0:05 
   Vocabulary 0:15 
    Exponent 0:18 
    Power 0:34 
   Raising a Power to a Power 0:44 
    Example: Raising a Power to a Power 0:47 
   Raising a Power to a Power 2:38 
    More Examples 2:42 
   Raising a Product to a Power 3:00 
    Example: Raising a Product to a Power 3:01 
   Raising a Product to a Power 4:00 
    Example: Surface Area of a Plant Cell 4:12 
    Example: Surface Area of the Moon 6:15 
   Extra Example 1: Raising Power to a Power 8:08 
   Extra Example 2: Complete the Inequality Statement 8:22 
   Extra Example 3: Find the Area of a Square 8:51 
   Extra Example 4: Find the Area of a Circle 10:28 
  Exploring Roots 9:39
   Intro 0:00 
   What You'll Learn and Why 0:05 
    Topics Overview 0:06 
   Vocabulary 0:17 
    Square Root 0:21 
    Roots 1:13 
   The Root Symbol 2:10 
    Root Symbols 2:11 
   Finding Roots of a Number 2:41 
    Examples 2:42 
   Simplifying Expressions with Roots 4:41 
    Example: Simplify the Expression 4:42 
   Simplifying Expressions with Roots 5:42 
    Example: Simplify the Expression 5:43 
   Extra Example 1: Finding Roots of a Number 6:36 
   Extra Example 2: Simplifying Expressions with Roots 7:11 
   Extra Example 3: Simplifying Expressions with Roots 7:36 
   Extra Example 4: Simplifying Expressions with Roots 8:34 
  Simplifying Algebraic Expressions 12:43
   Intro 0:00 
   What You'll Learn and Why 0:07 
    Topics Overview 0:08 
   Vocabulary 0:23 
    Term 0:28 
    Like Terms 0:35 
   Combining Like Terms 1:18 
    Example: 2y + y - 15y 1:20 
    Example: -x - 5x 2:16 
   Writing and Simplifying Expressions 2:57 
    Example: Total Cost of Drinks 2:58 
   Writing and Simplifying Expressions 4:48 
    Example: Total Cost of Apples 4:49 
   Distributing and Simplifying 5:42 
    Simplify: 4x - 2( x + 6 ) 5:46 
    Simplify: 3( 2y + 2 ) - 4y 6:57 
   Extra Example 1: Simplify the Expression 7:52 
   Extra Example 2: Distributing and Simplifying 8:18 
   Extra Example 3: Writing and Simplifying Expressions 9:35 
   Extra Example 4: Distributing and Simplifying 10:50 
  Solving Multi-Step Equations 18:35
   Intro 0:00 
   What You'll Learn and Why 0:06 
    Topics Overview 0:07 
   Vocabulary 0:17 
    Like Terms 0:21 
    Distributive Property 0:49 
   Simplifying Before Solving an Equation 1:37 
    Example: 8x + 45 - 12x = 9 1:40 
    Example: -15 = 6b + 12 - 3b + 6 3:25 
   Using the Distributive Property 4:50 
    Example: Haiti Relief Efforts 4:51 
   Using the Distributive Property 7:50 
    Example: Amusement Park 7:51 
   Extra Example 1: Simplify and Solve 11:34 
   Extra Example 2: Simplify and Solve 12:21 
   Extra Example 3: Simplify and Solve 13:18 
   Extra Example 4: Mailing Letters 14:53 
  Solving Equations with Variables on Both Sides 18:50
   Intro 0:00 
   What You'll Learn and Why 0:07 
    Topics Overview 0:08 
   Vocabulary 0:26 
    Term 0:30 
    Like Terms 0:44 
   Variables on Both Sides 1:10 
    Example: 3x + 24 = 9x 1:11 
    Example: -7 - 3x = 1 + 5x 2:16 
   Using the Distributive Property 4:01 
    Example: Height of Two Plants 4:02 
   Using the Distributive Property 9:01 
    Example: Running Laps 9:02 
   Extra Example 1: Solving Equations with Variables on Both Sides 11:59 
   Extra Example 2: Solving Equations with Variables on Both Sides 12:46 
   Extra Example 3: Solving Equations with Variables on Both Sides 14:18 
   Extra Example 4: Cost of Renting Video 15:24 

XI. Test-Taking Strategies

  Test Taking Strategy Part 1 12:55
   Intro 0:00 
   Finding Needed Information 1:02 
    Ask Yourself 1:07 
    Example: Finding Needed Information 1:25 
    Extra Example 1: Finding Needed Information 2:36 
    Extra Example 2: Finding Needed Information 4:10 
   Using Mental Math 6:10 
    Use Mental Math to Eliminate Unreasonable Answers 6:16 
    Example: Using Mental Math 6:47 
    Extra Example 1: Simplify Using Mental Math 8:54 
    Extra Example 2: Mental Math and Total Cost 9:36 
    Extra Example 3: Account Balance 11:15 
  Test Taking Strategy Part 2 11:24
   Intro 0:00 
   Working Backward 0:06 
    Substitute Multiple Choice Answers 0:08 
    Example: Working Backward 0:38 
    Extra Example 1: Equivalent Expression 2:54 
    Extra Example 2: Miles Per Gallon 4:13 
    Extra Example 3: Miles Per Hour 5:14 
   Choosing the Process 6:12 
    Strategies for Choosing the Process 6:19 
    Example: Dimensions of the Fenced Area 6:48 
    Extra Example 1: Choosing the Process 8:28 
    Extra Example 2: Choosing the Process 10:01 
  Test Taking Strategy Part 3 11:36
   Intro 0:00 
   Eliminating the Answer 0:06 
    Eliminate Wrong Answers 0:07 
    Example: Height of a Plant 0:49 
    Extra Example 1: Distance 2:36 
    Extra Example 2: Decimal 4:11 
   Using a Variable 4:50 
    Variables Represent the Unknown 4:51 
    Example: Company Logo 5:20 
    Extra Example 1: Road Trip 6:31 
    Extra Example 2: Proportion 9:03 
  Test Taking Strategy Part 4 20:13
   Intro 0:00 
   Eliminating the Answer 0:06 
    Eliminate Answers and Educated Guess 0:07 
    Example: Election 0:28 
    Extra Example 1: Football Kicker 2:42 
    Extra Example 2: Percent 4:09 
   Answering the Question Asked 6:19 
    Answer the Question Correctly 6:20 
    Example: Inequality 6:43 
    Extra Example 1: Cost of Cheese 8:12 
    Extra Example 2: Inequality 9:40 
   Drawing a Diagram 11:35 
    Diagrams 11:36 
    Example: Drawing a Diagram to Show Distance 12:03 
    Extra Example 1: Drawing a Diagram to Show Distance 15:22 
    Extra Example 2: Height 17:48 

Duration: 19 hours, 30 minutes

Number of Lessons: 62

This online course is perfect for high school students and college students looking to have a solid foundation in Pre-Algebra, which is indispensable for setting up a proper mathematical background to succeed in more advanced math and science courses.

Additional Features:

  • Free Sample Lessons
  • Practice Questions
  • Downloadable Lecture Slides
  • Study Guides

Topics Include:

  • Algebraic Expressions
  • Multiplying Integers
  • Solving Two-Step Equations
  • Prime Factorization
  • Greatest Common Divisor
  • Rational Numbers
  • Rates
  • Applications of a Percent
  • Slope
  • Power Rules

Professor Nancy Fung obtained her Master’s of Education at Drexel University with a concentration in the Science of Instruction and Research-based Teaching Techniques, along with her B.A. from Cornell University.  She has 10+ years of Pre-Algebra at  top charter schools.

Student Testimonials:

“I learned something!” — America M.

“Dear Ms. Fung, I love your teaching style! I am using Educator.com to refresh myself after 20 years out of high school. I am getting ready to take my SAT, and want the best score possible. Your courses are really helping me! Thanks, James” — James S.

“Great lesson, thank you.” — Valdo R.

“This is such a useful tool!! Thank you” — Steven S.

“Dear Ms. Fung, Keep up the good work!” — Magdy M.