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 TwoStep Equations 
19:10 
 
Intro 
0:00  
 
What You'll Learn and Why 
0:06  
 
 Topics Overview 
0:07  
 
TwoStep Equation Involvement 
0:19  
 
Solving TwoStep Equations 
0:41  
 
 Example: 8y  11 = 32 
0:45  
 
 Example: 32 = t/5 + 8 
2:55  
 
Solving TwoStep Equations 
4:49  
 
 Example: Recommended Daily Intake 
4:59  
 
Solving TwoStep Equations 
7:01  
 
 Example: Cost of Each Ride 
7:02  
 
Extra Example 1: Solving TwoStep Equations 
10:13  
 
Extra Example 2: Solving TwoStep 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  
 
 yaxis 
0:29  
 
 xaxis 
0:33  
 
 Quadrants 
0:37  
 
More Vocabulary 
0:49  
 
 Origin 
0:50  
 
 Ordered Pair 
0:53  
 
 xcoordinate 
1:00  
 
 ycoordinate 
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  
 
 xcoordinate 
0:21  
 
 ycoordinate 
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 TwoStep 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 TwoStep 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 TwoStep Inequalities 
3:16  
 
 Example: How Many Pairs of Socks? 
3:21  
 
Writing TwoStep 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 MultiStep 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. TestTaking 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  