Mary Pyo

Solving Division Equation

Slide Duration:

Section 1: Algebra and Decimals
Expressions and Variables

5m 57s

Intro
0:00
Vocabulary
0:06
Variable
0:09
Expression
0:48
Numerical Expression
1:08
Algebraic Expression
1:35
Word Expression
2:04
Extra Example 1: Evaluate the Expression
2:27
Extra Example 2: Evaluate the Expression
3:16
Extra Example 3: Evaluate the Expression
4:04
Extra Example 4: Evaluate the Expression
4:59
Exponents

5m 34s

Intro
0:00
What Exponents Mean
0:07
Example: Ten Squared
0:08
Extra Example 1: Exponents
0:50
Extra Example 2: Write in Exponent Form
1:58
Extra Example 3: Using Exponent and Base
2:37
Extra Example 4: Write the Equal Factors
4:26
Order of Operations

8m 40s

Intro
0:00
Please Excuse My Dear Aunt Sally
0:07
Step 1: Parenthesis
1:16
Step 2: Exponent
1:25
Step 3: Multiply and Divide
1:30
2:00
Example: Please Excuse My Dear Aunt Sally
2:26
Extra Example 1: Evaluating Expression
3:37
Extra Example 2: Evaluating Expression
4:59
Extra Example 3: Evaluating Expression
5:34
Extra Example 4: Evaluating Expression
6:25
Comparing and Ordering Decimals

13m 37s

Intro
0:00
Place Value
0:13
Examples: 1,234,567.89
0:19
Which is the Larger Value?
1:33
Which is Larger: 10.5 or 100.5
1:46
Which is Larger: 1.01 or 1.10
2:24
Which is Larger: 44.40 or 44.4
4:20
Which is Larger: 18.6 or 16.8
5:18
Extra Example 1: Order from Least to Greatest
5:55
Extra Example 2: Order from Least to Greatest
7:56
Extra Example 3: Order from Least to Greatest
9:16
Extra Example 4: Order from Least to Greatest
10:42
Rounding Decimals

12m 31s

Intro
0:00
Decimal Place Value
0:06
Example: 12,3454.6789
0:07
How to Round Decimals
1:17
Example: Rounding 1,234.567
1:18
Extra Example 1: Rounding Decimals
3:47
Extra Example 2: Rounding Decimals
6:10
Extra Example 3: Rounding Decimals
7:45
Extra Example 4: Rounding Decimals
9:56

11m 30s

Intro
0:00
0:06
Align the Decimal Point First
0:12
0:47
Place the Decimal Point in the Same Place
0:55
Check by Estimating
1:09
Examples
1:28
Add: 3.45 + 7 + 0.835
1:30
Find the Difference: 351.4 - 65.25
3:34
5:32
Extra Example 2: How Much Money?
6:09
Extra Example 3: Subtracting Decimals
7:20
9:32
Multiplying Decimals

10m 30s

Intro
0:00
Multiply the Decimals
0:05
Methods for Multiplying Decimals
0:06
Example: 1.1 x 6
0:38
Extra Example 1: Multiplying Decimals
1:51
Extra Example 2: Work Money
2:49
Extra Example 3: Multiplying Decimals
5:45
Extra Example 4: Multiplying Decimals
7:46
Dividing Decimals

17m 49s

Intro
0:00
When Dividing Decimals
0:06
Methods for Dividing Decimals
0:07
Divisor and Dividend
0:37
Example: 0.2 Divided by 10
1:35
Extra Example 1 : Dividing Decimals
5:24
Extra Example 2: How Much Does Each CD Cost?
8:22
Extra Example 3: Dividing Decimals
10:59
Extra Example 4: Dividing Decimals
12:08
Section 2: Number Relationships and Fractions
Prime Factorization

7m

Intro
0:00
Terms to Review
0:07
Prime vs. Composite
0:12
Factor
0:54
Product
1:15
Factor Tree
1:39
Example: Prime Factorization
2:01
Example: Prime Factorization
2:43
Extra Example 1: Prime Factorization
4:08
Extra Example 2: Prime Factorization
5:05
Extra Example 3: Prime Factorization
5:33
Extra Example 4: Prime Factorization
6:13
Greatest Common Factor

12m 47s

Intro
0:00
Terms to Review
0:05
Factor
0:07
Example: Factor of 20
0:18
Two Methods
0:59
Greatest Common Factor
1:00
Method 1: GCF of 15 and 30
1:37
Method 2: GCF of 15 and 30
2:58
Extra Example 1: Find the GCF of 6 and 18
5:16
Extra Example 2: Find the GCF of 36 and 27
7:43
Extra Example 3: Find the GCF of 6 and 18
9:18
Extra Example 4: Find the GCF of 54 and 36
10:30
Fraction Concepts and Simplest Form

10m 3s

Intro
0:00
Fraction Concept
0:10
Example: Birthday Cake
0:28
Example: Chocolate Bar
2:10
Simples Form
3:38
Example: Simplifying 4 out of 8
3:46
Extra Example 1: Graphically Show 4 out of 10
4:41
Extra Example 2: Finding Fraction Shown by Illustration
5:10
Extra Example 3: Simplest Form of 5 over 25
7:02
Extra Example 4: Simplest Form of 14 over 49
8:30
Least Common Multiple

14m 16s

Intro
0:00
Term to Review
0:06
Multiple
0:07
Example: Multiples of 4
0:15
Two Methods
0:41
Least Common Multiples
0:44
Method 1: LCM of 6 and 10
1:09
Method 2: LCM of 6 and 10
2:56
Extra Example 1: LCM of 12 and 15
5:09
Extra Example 2: LCM of 16 and 20
7:36
Extra Example 3 : LCM of 15 and 25
10:00
Extra Example 4 : LCM of 12 and 18
11:27
Comparing and Ordering Fractions

13m 10s

Intro
0:00
Terms Review
0:14
Greater Than
0:16
Less Than
0:40
Compare the Fractions
1:00
Example: Comparing 2/4 and 3/4
1:08
Example: Comparing 5/8 and 2/5
2:04
Extra Example 1: Compare the Fractions
3:28
Extra Example 2: Compare the Fractions
6:06
Extra Example 3: Compare the Fractions
8:01
Extra Example 4: Least to Greatest
9:37
Mixed Numbers and Improper Fractions

12m 49s

Intro
0:00
Fractions
0:10
Mixed Number
0:21
Proper Fraction
0:47
Improper Fraction
1:30
Switching Between
2:47
Mixed Number to Improper Fraction
2:53
Improper Fraction to Mixed Number
4:41
Examples: Switching Fractions
6:37
Extra Example 1: Mixed Number to Improper Fraction
8:57
Extra Example 2: Improper Fraction to Mixed Number
9:37
Extra Example 3: Improper Fraction to Mixed Number
10:21
Extra Example 4: Mixed Number to Improper Fraction
11:31
Connecting Decimals and Fractions

15m 1s

Intro
0:00
Examples: Decimals and Fractions
0:06
More Examples: Decimals and Fractions
2:48
Extra Example 1: Converting Decimal to Fraction
6:55
Extra Example 2: Converting Fraction to Decimal
8:45
Extra Example 3: Converting Decimal to Fraction
10:28
Extra Example 4: Converting Fraction to Decimal
11:42
Section 3: Fractions and Their Operations
Adding and Subtracting Fractions with Same Denominators

5m 17s

Intro
0:00
Same Denominator
0:11
Numerator and Denominator
0:18
Example: 2/6 + 5/6
0:41
Extra Example 1: Add or Subtract the Fractions
2:02
Extra Example 2: Add or Subtract the Fractions
2:45
Extra Example 3: Add or Subtract the Fractions
3:17
Extra Example 4: Add or Subtract the Fractions
4:05
Adding and Subtracting Fractions with Different Denominators

23m 8s

Intro
0:00
Least Common Multiple
0:12
LCM of 6 and 4
0:31
From LCM to LCD
2:25
3:12
Extra Example 1: Add or Subtract
6:23
Extra Example 2: Add or Subtract
9:49
Extra Example 3: Add or Subtract
14:54
Extra Example 4: Add or Subtract
18:14

19m 44s

Intro
0:00
Example
0:05
0:17
Extra Example 1: Adding Mixed Numbers
1:57
Extra Example 2: Subtracting Mixed Numbers
8:13
Extra Example 3: Adding Mixed Numbers
12:01
Extra Example 4: Subtracting Mixed Numbers
14:54
Multiplying Fractions and Mixed Numbers

21m 32s

Intro
0:00
Multiplying Fractions
0:07
Step 1: Change Mixed Numbers to Improper Fractions
0:08
Step2: Multiply the Numerators Together
0:56
Step3: Multiply the Denominators Together
1:03
Extra Example 1: Multiplying Fractions
1:37
Extra Example 2: Multiplying Fractions
6:39
Extra Example 3: Multiplying Fractions
10:20
Extra Example 4: Multiplying Fractions
13:47
Dividing Fractions and Mixed Numbers

18m

Intro
0:00
Dividing Fractions
0:09
Step 1: Change Mixed Numbers to Improper Fractions
0:15
Step 2: Flip the Second Fraction
0:27
Step 3: Multiply the Fractions
0:52
Extra Example 1: Dividing Fractions
1:23
Extra Example 2: Dividing Fractions
5:06
Extra Example 3: Dividing Fractions
9:34
Extra Example 4: Dividing Fractions
12:06
Distributive Property

11m 5s

Intro
0:00
Distributive Property
0:06
Methods of Distributive Property
0:07
Example: a(b)
0:35
Example: a(b+c)
0:49
Example: a(b+c+d)
1:22
Extra Example 1: Using Distributive Property
1:56
Extra Example 2: Using Distributive Property
4:36
Extra Example 3: Using Distributive Property
6:39
Extra Example 4: Using Distributive Property
8:19
Units of Measure

16m 36s

Intro
0:00
Length
0:05
Feet, Inches, Yard, and Mile
0:20
Millimeters, Centimeters, and Meters
0:43
Mass
2:57
Pounds, Ounces, and Tons
3:03
Grams and Kilograms
3:38
Liquid
4:11
Gallons, Quarts, Pints, and Cups
4:14
Extra Example 1: Converting Units
7:02
Extra Example 2: Converting Units
9:31
Extra Example 3: Converting Units
12:21
Extra Example 4: Converting Units
14:05
Section 4: Positive and Negative Numbers
Integers and the Number Line

13m 24s

Intro
0:00
What are Integers
0:06
Integers are all Whole Numbers and Their Opposites
0:09
Absolute Value
2:35
Extra Example 1: Compare the Integers
4:36
Extra Example 2: Writing Integers
9:24
Extra Example 3: Opposite Integer
10:38
Extra Example 4: Absolute Value
11:27

16m 5s

Intro
0:00
Using a Number Line
0:04
Example: 4 + (-2)
0:14
Example: 5 + (-8)
1:50
3:00
3:10
3:37
4:44
Extra Example 1: Add the Integers
8:21
Extra Example 2: Find the Sum
10:33
Extra Example 3: Find the Value
11:37
Extra Example 4: Add the Integers
13:10
Subtracting Integers

15m 25s

Intro
0:00
How to Subtract Integers
0:06
Two-dash Rule
0:16
Example: 3 - 5
0:44
Example: 3 - (-5)
1:12
Example: -3 - 5
1:39
Extra Example 1: Rewrite Subtraction to Addition
4:43
Extra Example 2: Find the Difference
7:59
Extra Example 3: Find the Difference
9:08
Extra Example 4: Evaluate
10:38
Multiplying Integers

7m 33s

Intro
0:00
When Multiplying Integers
0:05
If One Number is Negative
0:06
If Both Numbers are Negative
0:18
Examples: Multiplying Integers
0:53
Extra Example 1: Multiplying Integers
1:27
Extra Example 2: Multiplying Integers
2:43
Extra Example 3: Multiplying Integers
3:13
Extra Example 4: Multiplying Integers
3:51
Dividing Integers

6m 42s

Intro
0:00
When Dividing Integers
0:05
Rules for Dividing Integers
0:41
Extra Example 1: Dividing Integers
1:01
Extra Example 2: Dividing Integers
1:51
Extra Example 3: Dividing Integers
2:21
Extra Example 4: Dividing Integers
3:18
Integers and Order of Operations

11m 9s

Intro
0:00
Combining Operations
0:21
Solve Using the Order of Operations
0:22
Extra Example 1: Evaluate
1:18
Extra Example 2: Evaluate
4:20
Extra Example 3: Evaluate
6:33
Extra Example 4: Evaluate
8:13
Section 5: Solving Equations
Writing Expressions

9m 15s

Intro
0:00
Operation as Words
0:05
Operation as Words
0:06
Extra Example 1: Write Each as an Expression
2:09
Extra Example 2: Write Each as an Expression
4:27
Extra Example 3: Write Each Expression Using Words
6:45
Writing Equations

18m 3s

Intro
0:00
Equation
0:05
Definition of Equation
0:06
Examples of Equation
0:58
Operations as Words
1:39
Operations as Words
1:40
Extra Example 1: Write Each as an Equation
3:07
Extra Example 2: Write Each as an Equation
6:19
Extra Example 3: Write Each as an Equation
10:08
Extra Example 4: Determine if the Equation is True or False
13:38

24m 53s

Intro
0:00
Solving Equations
0:08
inverse Operation of Addition and Subtraction
0:09
Extra Example 1: Solve Each Equation Using Mental Math
4:15
Extra Example 2: Use Inverse Operations to Solve Each Equation
5:44
Extra Example 3: Solve Each Equation
14:51
Extra Example 4: Translate Each to an Equation and Solve
19:57
Solving Multiplication Equation

19m 46s

Intro
0:00
Multiplication Equations
0:08
Inverse Operation of Multiplication
0:09
Extra Example 1: Use Mental Math to Solve Each Equation
3:54
Extra Example 2: Use Inverse Operations to Solve Each Equation
5:55
Extra Example 3: Is -2 a Solution of Each Equation?
12:48
Extra Example 4: Solve Each Equation
15:42
Solving Division Equation

17m 58s

Intro
0:00
Division Equations
0:05
Inverse Operation of Division
0:06
Extra Example 1: Use Mental Math to Solve Each Equation
0:39
Extra Example 2: Use Inverse Operations to Solve Each Equation
2:14
Extra Example 3: Is -6 a Solution of Each Equation?
9:53
Extra Example 4: Solve Each Equation
11:50
Section 6: Ratios and Proportions
Ratio

40m 21s

Intro
0:00
Ratio
0:05
Definition of Ratio
0:06
Examples of Ratio
0:18
Rate
2:19
Definition of Rate
2:20
Unit Rate
3:38
Example: $10 / 20 pieces 5:05 Converting Rates 6:46 Example: Converting Rates 6:47 Extra Example 1: Write in Simplest Form 16:22 Extra Example 2: Find the Ratio 20:53 Extra Example 3: Find the Unit Rate 22:56 Extra Example 4: Convert the Unit 26:34 Solving Proportions 17m 22s Intro 0:00 Proportions 0:05 An Equality of Two Ratios 0:06 Cross Products 1:00 Extra Example 1: Find Two Equivalent Ratios for Each 3:21 Extra Example 2: Use Mental Math to Solve the Proportion 5:52 Extra Example 3: Tell Whether the Two Ratios Form a Proportion 8:21 Extra Example 4: Solve the Proportion 13:26 Writing Proportions 22m 1s Intro 0:00 Writing Proportions 0:08 Introduction to Writing Proportions and Example 0:10 Extra Example 1: Write a Proportion and Solve 5:54 Extra Example 2: Write a Proportion and Solve 11:19 Extra Example 3: Write a Proportion for Word Problem 17:29 Similar Polygons 16m 31s Intro 0:00 Similar Polygons 0:05 Definition of Similar Polygons 0:06 Corresponding Sides are Proportional 2:14 Extra Example 1: Write a Proportion and Find the Value of Similar Triangles 4:26 Extra Example 2: Write a Proportional to Find the Value of x 7:04 Extra Example 3: Write a Proportion for the Similar Polygons and Solve 9:04 Extra Example 4: Word Problem and Similar Polygons 11:03 Scale Drawings 13m 43s Intro 0:00 Scale Drawing 0:05 Definition of a Scale Drawing 0:06 Example: Scale Drawings 1:00 Extra Example 1: Scale Drawing 4:50 Extra Example 2: Scale Drawing 7:02 Extra Example 3: Scale Drawing 9:34 Probability 11m 51s Intro 0:00 Probability 0:05 Introduction to Probability 0:06 Example: Probability 1:22 Extra Example 1: What is the Probability of Landing on Orange? 3:26 Extra Example 2: What is the Probability of Rolling a 5? 5:02 Extra Example 3: What is the Probability that the Marble will be Red? 7:40 Extra Example 4: What is the Probability that the Student will be a Girl? 9:43 Section 7: Percents Percents, Fractions, and Decimals 35m 5s Intro 0:00 Percents 0:06 Changing Percent to a Fraction 0:07 Changing Percent to a Decimal 1:54 Fractions 4:17 Changing Fraction to Decimal 4:18 Changing Fraction to Percent 7:50 Decimals 10:10 Changing Decimal to Fraction 10:11 Changing Decimal to Percent 12:07 Extra Example 1: Write Each Percent as a Fraction in Simplest Form 13:29 Extra Example 2: Write Each as a Decimal 17:09 Extra Example 3: Write Each Fraction as a Percent 22:45 Extra Example 4: Complete the Table 29:17 Finding a Percent of a Number 28m 18s Intro 0:00 Percent of a Number 0:06 Translate Sentence into an Equation 0:07 Example: 30% of 100 is What Number? 1:05 Extra Example 1: Finding a Percent of a Number 7:12 Extra Example 2: Finding a Percent of a Number 15:56 Extra Example 3: Finding a Percent of a Number 19:14 Extra Example 4: Finding a Percent of a Number 24:26 Solving Percent Problems 32m 31s Intro 0:00 Solving Percent Problems 0:06 Translate the Sentence into an Equation 0:07 Extra Example 1: Solving Percent Problems 0:56 Extra Example 2: Solving Percent Problems 14:49 Extra Example 3: Solving Percent Problems 23:44 Simple Interest 27m 9s Intro 0:00 Simple Interest 0:05 Principal 0:06 Interest & Interest Rate 0:41 Simple Interest 1:43 Simple Interest Formula 2:23 Simple Interest Formula: I = prt 2:24 Extra Example 1: Finding Simple Interest 3:53 Extra Example 2: Finding Simple Interest 8:08 Extra Example 3: Finding Simple Interest 12:02 Extra Example 4: Finding Simple Interest 17:46 Discount and Sales Tax 17m 15s Intro 0:00 Discount 0:19 Discount 0:20 Sale Price 1:22 Sales Tax 2:24 Sales Tax 2:25 Total Due 2:59 Extra Example 1: Finding the Discount 3:43 Extra Example 2: Finding the Sale Price 6:28 Extra Example 3: Finding the Sale Tax 11:14 Extra Example 4: Finding the Total Due 14:08 Section 8: Geometry in a Plane Intersecting Lines and Angle Measures 24m 17s Intro 0:00 Intersecting Lines 0:07 Properties of Lines 0:08 When Two Lines Cross Each Other 1:55 Angles 2:56 Properties of Angles: Sides, Vertex, and Measure 2:57 Classifying Angles 7:18 Acute Angle 7:19 Right Angle 7:54 Obtuse Angle 8:03 Angle Relationships 8:56 Vertical Angles 8:57 Adjacent Angles 10:38 Complementary Angles 11:52 Supplementary Angles 12:54 Extra Example 1: Lines 16:00 Extra Example 2: Angles 18:22 Extra Example 3: Angle Relationships 20:05 Extra Example 4: Name the Measure of Angles 21:11 Angles of a Triangle 13m 35s Intro 0:00 Angles of a Triangle 0:05 All Triangles Have Three Angles 0:06 Measure of Angles 2:16 Extra Example 1: Find the Missing Angle Measure 5:39 Extra Example 2: Angles of a Triangle 7:18 Extra Example 3: Angles of a Triangle 9:24 Classifying Triangles 15m 10s Intro 0:00 Types of Triangles by Angles 0:05 Acute Triangle 0:06 Right Triangle 1:14 Obtuse Triangle 2:22 Classifying Triangles by Sides 4:18 Equilateral Triangle 4:20 Isosceles Triangle 5:21 Scalene Triangle 5:53 Extra Example 1: Classify the Triangle by Its Angles and Sides 6:34 Extra Example 2: Sketch the Figures 8:10 Extra Example 3: Classify the Triangle by Its Angles and Sides 9:55 Extra Example 4: Classify the Triangle by Its Angles and Sides 11:35 Quadrilaterals 17m 41s Intro 0:00 Quadrilaterals 0:05 Definition of Quadrilaterals 0:06 Parallelogram 0:45 Rectangle 2:28 Rhombus 3:13 Square 3:53 Trapezoid 4:38 Parallelograms 5:33 Parallelogram, Rectangle, Rhombus, Trapezoid, and Square 5:35 Extra Example 1: Give the Most Exact Name for the Figure 11:37 Extra Example 2: Fill in the Blanks 13:31 Extra Example 3: Complete Each Statement with Always, Sometimes, or Never 14:37 Area of a Parallelogram 12m 44s Intro 0:00 Area 0:06 Definition of Area 0:07 Area of a Parallelogram 2:00 Area of a Parallelogram 2:01 Extra Example 1: Find the Area of the Rectangle 4:30 Extra Example 2: Find the Area of the Parallelogram 5:29 Extra Example 3: Find the Area of the Parallelogram 7:22 Extra Example 4: Find the Area of the Shaded Region 8:55 Area of a Triangle 11m 29s Intro 0:00 Area of a Triangle 0:05 Area of a Triangle: Equation and Example 0:06 Extra Example 1: Find the Area of the Triangles 1:31 Extra Example 2: Find the Area of the Figure 4:09 Extra Example 3: Find the Area of the Shaded Region 7:45 Circumference of a Circle 15m 4s Intro 0:00 Segments in Circles 0:05 Radius 0:06 Diameter 1:08 Chord 1:49 Circumference 2:53 Circumference of a Circle 2:54 Extra Example 1: Name the Given Parts of the Circle 6:26 Extra Example 2: Find the Circumference of the Circle 7:54 Extra Example 3: Find the Circumference of Each Circle with the Given Measure 11:04 Area of a Circle 14m 43s Intro 0:00 Area of a Circle 0:05 Area of a Circle: Equation and Example 0:06 Extra Example 1: Find the Area of the Circle 2:17 Extra Example 2: Find the Area of the Circle 5:47 Extra Example 3: Find the Area of the Shaded Region 9:24 Section 11: Geometry in Space Prisms and Cylinders 21m 49s Intro 0:00 Prisms 0:06 Polyhedron 0:07 Regular Prism, Bases, and Lateral Faces 1:44 Cylinders 9:37 Bases and Altitude 9:38 Extra Example 1: Classify Each Prism by the Shape of Its Bases 11:16 Extra Example 2: Name Two Different Edges, Faces, and Vertices of the Prism 15:44 Extra Example 3: Name the Solid of Each Object 17:58 Extra Example 4: Write True or False for Each Statement 19:47 Volume of a Rectangular Prism 8m 59s Intro 0:00 Volume of a Rectangular Prism 0:06 Volume of a Rectangular Prism: Formula 0:07 Volume of a Rectangular Prism: Example 1:46 Extra Example 1: Find the Volume of the Rectangular Prism 3:39 Extra Example 2: Find the Volume of the Cube 5:00 Extra Example 3: Find the Volume of the Solid 5:56 Volume of a Triangular Prism 16m 15s Intro 0:00 Volume of a Triangular Prism 0:06 Volume of a Triangular Prism: Formula 0:07 Extra Example 1: Find the Volume of the Triangular Prism 2:42 Extra Example 2: Find the Volume of the Triangular Prism 7:21 Extra Example 3: Find the Volume of the Solid 10:38 Volume of a Cylinder 15m 55s Intro 0:00 Volume of a Cylinder 0:05 Volume of a Cylinder: Formula 0:06 Extra Example 1: Find the Volume of the Cylinder 1:52 Extra Example 2: Find the Volume of the Cylinder 7:38 Extra Example 3: Find the Volume of the Cylinder 11:25 Surface Area of a Prism 23m 28s Intro 0:00 Surface Area of a Prism 0:06 Surface Area of a Prism 0:07 Lateral Area of a Prism 2:12 Lateral Area of a Prism 2:13 Extra Example 1: Find the Surface Area of the Rectangular Prism 7:08 Extra Example 2: Find the Lateral Area and the Surface Area of the Cube 12:05 Extra Example 3: Find the Surface Area of the Triangular Prism 17:13 Surface Area of a Cylinder 27m 41s Intro 0:00 Surface Area of a Cylinder 0:06 Introduction to Surface Area of a Cylinder 0:07 Surface Area of a Cylinder 1:33 Formula 1:34 Extra Example 1: Find the Surface Area of the Cylinder 5:51 Extra Example 2: Find the Surface Area of the Cylinder 13:51 Extra Example 3: Find the Surface Area of the Cylinder 20:57 Section 10: Data Analysis and Statistics Measures of Central Tendency 24m 32s Intro 0:00 Measures of Central Tendency 0:06 Mean 1:17 Median 2:42 Mode 5:41 Extra Example 1: Find the Mean, Median, and Mode for the Following Set of Data 6:24 Extra Example 2: Find the Mean, Median, and Mode for the Following Set of Data 11:14 Extra Example 3: Find the Mean, Median, and Mode for the Following Set of Data 15:13 Extra Example 4: Find the Three Measures of the Central Tendency 19:12 Histograms 19m 43s Intro 0:00 Histograms 0:05 Definition and Example 0:06 Extra Example 1: Draw a Histogram for the Frequency Table 6:14 Extra Example 2: Create a Histogram of the Data 8:48 Extra Example 3: Create a Histogram of the Following Test Scores 14:17 Box-and-Whisker Plot 17m 54s Intro 0:00 Box-and-Whisker Plot 0:05 Median, Lower & Upper Quartile, Lower & Upper Extreme 0:06 Extra Example 1: Name the Median, Lower & Upper Quartile, Lower & Upper Extreme 6:04 Extra Example 2: Draw a Box-and-Whisker Plot Given the Information 7:35 Extra Example 3: Find the Median, Lower & Upper Quartile, Lower & Upper Extreme 9:31 Extra Example 4: Draw a Box-and-Whiskers Plots for the Set of Data 12:50 Stem-and-Leaf Plots 17m 42s Intro 0:00 Stem-and-Leaf Plots 0:05 Stem-and-Leaf Plots 0:06 Extra Example 1: Use the Data to Create a Stem-and-Leaf Plot 2:28 Extra Example 2: List All the Numbers in the Stem-and-Leaf Plot in Order From Least to Greatest 7:02 Extra Example 3: Create a Stem-and-Leaf Plot of the Data & Find the Median and the Mode. 8:59 The Coordinate Plane 19m 59s Intro 0:00 The Coordinate System 0:05 The Coordinate Plane 0:06 Quadrants, Origin, and Ordered Pair 0:50 The Coordinate Plane 7:02 Write the Coordinates for Points A, B, and C 7:03 Extra Example 1: Graph Each Point on the Coordinate Plane 9:03 Extra Example 2: Write the Coordinate and Quadrant for Each Point 11:05 Extra Example 3: Name Two Points From Each of the Four Quadrants 13:13 Extra Example 4: Graph Each Point on the Same Coordinate Plane 17:47 Section 11: Probability and Discrete Mathematics Organizing Possible Outcomes 15m 35s Intro 0:00 Compound Events 0:08 Compound Events 0:09 Fundamental Counting Principle 3:35 Extra Example 1: Create a List of All the Possible Outcomes 4:47 Extra Example 2: Create a Tree Diagram For All the Possible Outcomes 6:34 Extra Example 3: Create a Tree Diagram For All the Possible Outcomes 10:00 Extra Example 4: Fundamental Counting Principle 12:41 Independent and Dependent Events 35m 19s Intro 0:00 Independent Events 0:11 Definition 0:12 Example 1: Independent Event 1:45 Example 2: Two Independent Events 4:48 Dependent Events 9:09 Definition 9:10 Example: Dependent Events 10:10 Extra Example 1: Determine If the Two Events are Independent or Dependent Events 13:38 Extra Example 2: Find the Probability of Each Pair of Events 18:11 Extra Example 3: Use the Spinner to Find Each Probability 21:42 Extra Example 4: Find the Probability of Each Pair of Events 25:49 Disjoint Events 12m 13s Intro 0:00 Disjoint Events 0:06 Definition and Example 0:07 Extra Example 1: Disjoint & Not Disjoint Events 3:08 Extra Example 2: Disjoint & Not Disjoint Events 4:23 Extra Example 3: Independent, Dependent, and Disjoint Events 6:30 Probability of an Event Not Occurring 20m 5s Intro 0:00 Event Not Occurring 0:07 Formula and Example 0:08 Extra Example 1: Use the Spinner to Find Each Probability 7:24 Extra Example 2: Probability of Event Not Occurring 11:21 Extra Example 3: Probability of Event Not Occurring 15:51 Loading... 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Thank you Educator.com! ### Solving Division Equation #### Related Links • To solve equations, use inverse operations to get the variable by itself • Inverse operation of division is multiplication ### Solving Division Equation Use mental math to solve each equation [x/3] = 9 x = 27 Use mental math to solve each equation [45/y] = 5 y = 9 Use the invere operation to solve each equation [y/( − 9)] = 4 • [( − 9)/1] ·[y/( − 9)] = 4 ·− 9 • y = 4 ·− 9 y = − 36 Use the invere operation to solve each equation [x/35] = − 7 • [35/1] ·[x/35] = − 7 ·35 • x = − 7 ·35 x = - 245 Use the invere operation to solve each equation [x/( − 8)] = − 9 • [( − 8)/1] ·[x/( − 8)] = − 9 ·− 8 • x = − 9 ·− 8 x = 72 Use the invere operation to solve each equation [y/( − 3)] = − 2 • [( − 3)/1] ·[y/( − 3)] = − 3 ·− 2 • x = − 3 ·− 2 x = 6 Use the invere operation to solve each equation [y/5] = − 8 • [5/1] ·[y/5] = 5 ·− 8 • y = 5 ·− 8 y = − 40 Use the invere operation to solve each equation [z/( − 8)] = 3 • [( − 8)/1] ·[z/( − 8)] = 3 ·− 8 • z = 3 ·− 8 z = − 24 Is - 2 a solution of the equation? [x/( − 6)] = 3 • [( − 6)/1] ·[z/( − 6)] = 3 ·− 6 • z = 3 ·− 6 • z = − 18 No Is - 33 a solution of the equation? [y/( − 3)] = 11 • [( − 3)/1] ·[z/( − 3)] = 11 ·− 3 • z = 11 ·− 3 • z = − 33 Yes *These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer. Answer ### Solving Division Equation Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture. • Intro 0:00 • Division Equations 0:05 • Inverse Operation of Division • Extra Example 1: Use Mental Math to Solve Each Equation 0:39 • Extra Example 2: Use Inverse Operations to Solve Each Equation 2:14 • Extra Example 3: Is -6 a Solution of Each Equation? 9:53 • Extra Example 4: Solve Each Equation 11:50 ### Transcription: Solving Division Equation Welcome back to Educator.com.0000 For the next lesson, we are going to be solving division equations.0002 Just like the other equations that we were solving in the previous lessons,0009 we are going to use inverse operations to get the variable by itself.0014 The whole point of solving equations is to solve for the variable.0018 What does the variable equal?--what is the value of the variable?0022 For this one, the inverse operation of division is multiplication.0027 The opposite operation, the opposite of division is multiplication.0032 Again we are just going to solve for the variable just using mental math.0042 That means 3 equals a number divided by 2.0047 Don't forget, right here, this fraction also means divide.0054 It is the top number divided by the bottom number.0059 A divided by 2 is 3; what is A?0064 What number if you divide it by 2 is going to give you 3?0067 I know that 6 divided by 2 is 3.0071 Again instead of writing just 6, you have to write that the variable A is equal to 6.0076 Same thing here; a number divided by 3 is going to give you 5.0086 15 divided by 3 is 5; that means the variable D is equal to 15.0095 A number divided by 4 is 4; 16 divided by 4 is 4.0104 That means I have to make B equal to 16.0114 Then 100 divided by a number is going to give you 10.0121 What is K?--K has to be 10 because 100 divided by 10 is 10.0127 Now for these examples, we are going to solve for the variable using the inverse operation.0135 I am going to circle the variable just like I did for my other lessons and then separate the sides.0145 Again this is M divided by 4.0153 If I have a number on the bottom and if I multiply this by 4, a +4 is the same thing as 4/1.0158 4 is the same thing as 4/1; I could put 1 under any number.0181 If I need to turn this into a fraction, I can put a 1 under it.0189 4 divided by 1; what is 4 divided by 1?--isn't that 4?0194 Remember this also means divide; 4 divided by 1 is 4.0200 If you want, if it helps, you can put it over 1.0206 Then if you remember, to multiply fractions, this is M times 4 which is M times 4 or you can write 4M.0210 Remember if you have a number times a variable, you can just write it together like that.0222 Over... this number times 1 which is 4.0227 If you have the same number on top as the bottom, they will become 1.0234 4 divided by 4 is 1.0240 That is why the inverse operation, if this is M divided by 4, the opposite of divide is multiply.0246 If I want to get rid of this 4 down here, then I have to multiply the 4.0257 Again I am using the inverse operation.0264 Just in the same way, this 4 is on this side this time.0267 But it is the same thing; 4/1.0274 Or you can leave it as 4; or you can put it over a 1.0277 Times M/4; remember this becomes that same exact thing, 4M/4 because this times this is that.0281 1 times 4 is 4; 4/4 makes a 1; this is 1M.0295 If you remember, 1M is the same thing as M.0303 Here inverse operation of divide is to multiply.0312 If you multiply when it is divided from the variable, they will cancel out.0317 It will go away.0323 If you don't understand this, what I did here, just know that if you have to divide0324 or if this is M divided by 4, then you have to multiply it so that it will go away.0330 Again whatever I do to one side of the equal sign, I have to do to the other side.0340 Since I multiplied 4 to this side, I have to multiply 4 to this side.0345 You can write it like this for now.0351 Or the best way to show that you are going to multiply two numbers is to write them in parentheses.0354 What is left on the left side?0361 This side, all I have left is the M which is what I want.0364 I wanted to get rid of this 4; that is why I multiplied it.0368 Equals -3 times 4; remember... I have a negative times a positive.0371 Whenever you are multiplying or dividing, if you only have one negative sign, your answer becomes a negative.0379 You are going to multiply these two numbers just the same way.0387 3 times 4 is 12.0390 It is a -12 because I only see one negative sign.0396 Remember one negative, your answer becomes a negative.0399 If you are multiplying two negative numbers, then those negative numbers pair up to become a positive; a plus.0403 Then this is M equals -12; I have the variable by itself.0414 So I am done; I solved the equation.0419 Again next one, I am going to circle the variable.0426 That is my goal, to make the variable by itself.0429 I am going to separate the two sides like that.0433 This is A divided by 7.0436 If it is A divided by 7, the inverse operation is multiply.0439 I have to multiply this whole side by 7.0445 But these will cross cancel; they will become a 1.0450 Whatever I do to one side, I have to do to the other side.0455 7 times 6 is 42; on my left side, I get 42; then my equals.0460 On my right side, I have only A left because remember I got rid of that 7.0472 Once I have the variable by itself and I have the number, I am done.0478 That is my answer.0482 The third one, I am going to use a different color; solve for B.0486 Again this is B divided by -3; it is divided by -3.0494 I still have to get rid of this whole number right here.0499 Inverse operation, multiply this by -3; that way these will cancel out.0502 Whatever I do to one side, I have to do to the other side.0509 I have to multiply this by -3.0513 Then on this side, I only have a B left; equals... my right side.0518 I have to solve this out; 10 times -3; 10 times 3 is 30.0526 How many negative signs do I see?--I only see one.0533 That means my answer is going to be negative; B equals -30.0537 This last one, again solve for X; I am going to circle it.0548 Separate my sides; X divided by 5; inverse operation is to multiply.0553 Multiply this side; that way that number will go away.0559 Whatever I do to one side, I have to do to the other side.0565 What is left on this side?--X is left; equals... 8 times 5 is 40.0570 I only have one negative sign; that means my answer is going to be negative.0581 That is it; that is my answer.0587 For these, we are going to determine if -6 is the solution of the equation.0595 Here is my variable.0604 I want to know if -6 can be M or if M can be -6.0605 -6 divided by 2; is that 3?-- -6, I am going to replace it.0613 I am going to write it instead of M because I am trying to see if M is going to be that number.0619 I am just going to substitute it in; equals 3; is this true?0626 I know that 6 divided by 2 is 3; but is -6 divided by 2, 3?0632 No, because when you have a negative divided by a positive,0637 you only see one negative, that makes the answer a negative.0641 In this case, this is no or false.0646 This one, I am just going to write no.0650 The next one, here is my variable; 6 over... in place of the variable, -6.0653 I know that 6 divided by 6 is 1; is 6 divided by -6, -1?0665 Only one negative sign when you are dividing numbers; that makes this negative.0672 So this one is yes; this one is true.0677 Here -18 equals -6/4; does -6 divided by 4 equal -18?0682 No, so this one is no.0703 Let's solve each equation.0714 We are going to use the inverse operations to solve each of the equations.0716 The first one, I am going to circle my variable.0722 I am going to separate my sides; be careful here, this is A plus 11.0728 What is being used?--a plus; what is the inverse operation of plus again?0739 Inverse operation of plus is minus; the inverse operation of minus is plus.0748 What about times?--what is the inverse operation of times?--divide.0756 And the inverse operation of divide is times.0762 Since this is A plus 11, and I know I have to get the variable by itself,0767 I have to get rid of everything that is next to the variable.0773 I have to use the inverse operation of plus which is minus.0777 That means I have to subtract this number 11 because +10 minus 11, that makes 0; that goes away.0781 Whatever I do to one side, I do to the other; -4 minus 11.0789 Be careful here; remember we are not multiplying; we are not dividing.0799 Even though you see two negative signs, it doesn't make it go away; only when you multiply or divide.0803 When it comes to adding and subtracting, you can think of dogs and cats.0809 You can think of money; it is like saying you borrowed$4.0815

Then you borrowed another \$11; whenever you see a negative, you are borrowing.0821

You borrow 4; you borrow 11; how much do you owe?0826

You owe 15; that is a negative because you still owe.0830

Whenever you don't have something, it is a negative.0837

Bring down that equal sign; then on this side, what is left?0842

Only the variable because whatever was here, we got rid of; that number that was there.0847

So this is it; this is the answer.0854

The whole point, the goal is to get the variable by itself.0858

The next one; circle the variable; separate my sides; this is N minus 8.0864

I know I have to get rid of this number because it is next to the variable.0874

Inverse operation of minus is plus.0879

That means to get rid of this ?A, I have to add A to make it go away so the variable can be by itself.0882

Then whatever you do to one side, you have to do to the other side.0892

It is the right side; only the variable is left.0895

Equals... this side, the right side... 28; 20 plus 8 is 28.0902

That is my answer; N equals 28.0909

Solving for my variable of E; separate my sides; here this is 9 times V.0915

If they are stuck together like that, that is a times; 9 times V equals -81.0924

Since it is multiplied together, I have to use my inverse operation which is divide.0932

I have to divide the 9 to get rid of it so that the variable can be by itself.0938

Then same thing; whatever you do to one side, you have to do to the other side.0943

If you did it to the left side, then you have to do it to the right side.0947

From here, this is left with V; bring down the equal sign.0953

Then 81 divided by 9; don't forget that this is divide.0960

81 divided by 9 is 9; but then you have a negative.0964

Negative divided by a positive, you only see one negative.0971

In this case, only when you multiply or divide, remember.0974

You are dividing now; one negative gives you a negative answer.0977

That is my answer; that is it.0984

The last one, D divided by -12 equals 3.0989

I am going to circle my variable; separate my sides.0997

This is D divided by -12; the inverse operation of divide is multiply.1001

To get rid of this number here, because again we need D to be by itself.1008

I need to multiply this number; make sure you divide the -12.1014

The number is -12; you are multiplying -12; that cross cancels out.1021

Whatever you do to one side, remember you have to do to the other side; 3 times -12.1027

Again the best way to write two numbers being multiplied is to write it in parentheses.1032

Can write that in parentheses too.1042

On this side, on my left side, I have D left by itself.1045

Equals... the right side, it is 3 times -12; first 3 times 12 is 36.1049

Remember the number stays the same; I have only one negative sign.1060

That makes this because it is multiplied; D is -36.1066

That is it for this lesson; thank you for watching Educator.com.1075

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