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Mary Pyo

Mary Pyo

Solving Percent Problems

Slide Duration:

Table of Contents

I. 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
Step 4: Add and Subtract
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
Adding and Subtracting Decimals

11m 30s

Intro
0:00
When Adding and Subtracting
0:06
Align the Decimal Point First
0:12
Add or Subtract the Digits
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
Extra Example 1: Adding Decimals
5:32
Extra Example 2: How Much Money?
6:09
Extra Example 3: Subtracting Decimals
7:20
Extra Example 4: Adding Decimals
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
II. 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
III. 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
Example: Adding 1/6 with 3/4
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
Adding and Subtracting Mixed Numbers

19m 44s

Intro
0:00
Example
0:05
Adding Mixed Numbers
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
IV. 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
Adding Integers

16m 5s

Intro
0:00
Using a Number Line
0:04
Example: 4 + (-2)
0:14
Example: 5 + (-8)
1:50
How to Add Integers
3:00
Opposites Add to Zero
3:10
Adding Same Sign Numbers
3:37
Adding Opposite Signs Numbers
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
V. 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
Solving Addition and Subtraction Equations

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
VI. 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
VII. 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
VIII. 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
XI. 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
X. 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
XI. 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
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Solving Percent Problems

Related Links

  • To solve percent problems, translate the sentence into an equation
    • “of” means times
    • “what” means unknown variable

Solving Percent Problems

25 is 50% of what number?
  • 50% = .50
  • 25 = .50x
  • [25/.50] = x
50
11 is 20% of what number?
  • 20% = .20
  • 11 = .20x
  • [11/.20] = x
55
18 is 40% of what number?
  • 40% = .40
  • 18 = .40x
  • [18/.40] = x
45
What percent of 70 is 35?
  • x ·70 = 35
  • x = [35/70]
  • x = 0.5
50%
What percent of 16 is 4?
  • x ·16 = 4
  • x = [4/16]
  • x = 0.25
25%
15 is what percent of 1500?
  • 15 = x ·1500
  • [15/1500] = x
  • 0.01 = x
1%
30 percent of 60 is what number?
  • 30% = .30
  • .30(60) = x
18
5% of what number is 15?
  • .5x = 15
  • x = [15/.5]
x = 30
100% of 154 is what number?
  • 100% = 1
  • 1 ×154 = x
154
16 is 25% of what number?
  • .25x = 16
  • x = [16/.25]
64

*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 Percent Problems

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
  • Solving Percent Problems 0:06
    • Translate the Sentence into an Equation
  • Extra Example 1: Solving Percent Problems 0:56
  • Extra Example 2: Solving Percent Problems 14:49
  • Extra Example 3: Solving Percent Problems 23:44

Transcription: Solving Percent Problems

Welcome back to Educator.com.0000

For the next lesson, we are going to go over solving percent problems.0002

To solve a problem that involves percents, we want to first translate whatever the sentence is into an equation.0008

Whenever you have a number, you are going to write that down in your equation.0018

If you have a percent, you need to change it to a decimal.0022

You see the word of; that means times; you are going to be multiplying.0027

When you see the word what or what number, that means you are going to have a variable.0032

That is what you are going to be looking for.0037

That is what you are going to be solving for.0039

This is almost the same as what we just did the last lesson.0041

But now we are going to be looking at variables and solving equations.0047

We are going to have to do a little bit deeper into these problems.0053

The first set of examples; for example one, 15.0060

Remember if we have a number, we are just going to write it straight down into our equation.0068

Is; the word is remember means equals; 25 percent; this is write down.0074

This we are also going to write straight down.0083

But because it is a percent, in our equation, we need to make it into a decimal.0085

Percent to decimal, remember we have to move two decimal spaces to the left0091

because think of percent as a bigger version of a decimal; decimals are small numbers.0105

Whenever you are converting from a percent to a decimal, you have to get smaller.0112

The way for you to get smaller is to move the decimal point over to the left.0118

The decimal point is over on this side.0127

If you don't see a decimal point, it is always at the end of the number.0130

We are going to move it one, two spaces.0134

The decimal point of 25 percent is going to be 0.25.0139

Of course obviously we have to drop the percent sign.0145

25 percent is 0.25; that is what I am going to write in my equation.0148

0.25; of means times; times what number; this is my variable X.0154

Be careful here because whenever you write a dot for times, that looks like the decimal point.0168

The best way to represent multiplying is to either write it in parentheses.0174

If you are going to show that you are going to be multiplying two numbers, write them in parentheses.0179

Or if it is a number with a variable, a letter, then you can just put them together.0184

0.25X, that would mean 0.25 times X.0191

Here is our equation now; this is what I am solving for.0198

15 is 25 percent of what number?--this is the number that I am looking for.0202

When I solve for X, remember that since this is 0.25 times X, I need to do the inverse operation.0207

0.25 times X, the inverse operation is divide.0219

In order to solve for X, I have to divide 0.25.0224

0.25 over itself is going to be 1.0232

Whatever I do to one side, I have to do to the other side of the equal sign.0236

I have to divide this side also by 0.25; this, it looks like a fraction.0241

But fractions are division problems; this is the same thing as 15 divided by 0.25.0247

Another way to explain why we have to divide, let's say I have 8 equals 4X.0255

If I have 4 times a number equals 8, what do I know about X?0268

Isn't 4 times 2, 8?--so I know X has to be 2.0275

In the same way, I have to solve for X and I can just divide this number by this number.0285

Divide this by 4; divide this by 4; 8 divided by 4 is 2.0292

That gives me 2 equals X.0298

Here 15 divided by 0.25, I need to actually solve that out in order to find X.0305

Let's review over how to divide numbers with decimals.0313

If I am going to divide these two numbers, remember that the top number is what goes inside when you divide.0321

15 on the inside; 0.25 on the outside.0330

The decimal point for this number is at the end because we don't see one.0337

It is always at the end.0342

If I need to add 0s to this number, I can because0349

I can always add 0s to the end of a number behind a decimal.0352

If it was before the decimal, I can't because then that will just become 150 instead of 15.0358

As long as it is behind the decimal and it is at the end of a number,0364

you can add as many 0s as you want.0370

I can add two 0s; I can add three; I can add ten; however many I need.0372

This number, we want to change to a whole number.0379

I need to move the decimal point over two spaces to the right to make the decimal point at the end.0384

If I move two decimal places for this number, then I have to move this two decimal places over here.0392

Then I am going to take that decimal point up.0399

25 goes into 15 zero times; 25 goes into 150 how many times?0403

Think about quarters; 25 cents or 25 is like a quarter.0412

How many of those fit into 100 or a dollar?--four.0421

Four quarters is a dollar; think of 150 cents.0425

25 cents goes into 150 cents or 1 dollar 50, how many of them?0428

That would be six.0434

If you want to just check that, this is 12, 13, 14, 15.0437

That becomes 0 when you subtract it; I can bring down this 0.0449

25 goes into 0 zero times; I have to fill in this space right here.0454

That is 0; subtract it; that is nothing.0461

I don't have to bring down another 0 because my remainder is 0.0464

My answer then, if I do 15 divided by 0.25, is this number up here, 60.0471

This number, if there is a 0 in front of the number like that, then that doesn't mean anything either.0479

I can just drop the 0; that would just be 60.0485

This 0 I cannot drop.0489

This 0 has to stay there because if I drop it, my number is going to change to 6.0491

We know that 6 is not the same as 60.0498

This 0, it is not after the decimal point so we can't drop that 0.0501

My answer just becomes 60.0507

If you need to review over this, you can either go back to that lesson, dividing decimals.0513

Or we are going to do a few more problems that involve dividing decimals.0520

The next one, again we are going to change this into an equation.0527

1; is is equals; 4 percent.0535

4 percent, again we have to change it to a decimal.0540

Be careful; 4 percent is not 0.4.0543

Again 4 percent to decimal; the decimal point is at the end right here.0549

I go one, two; then put the decimal point there.0556

I have an empty space that I have to fill.0561

I have to fill that with a 0; it is going to be 0.04.0563

Again at the end here, one, two, decimal point; 0.04.0568

Of means times; blank, that is what we are looking for; that is my variable.0580

I am going to put X there.0589

Remember if I put number with variable, that means times.0591

This represents... I don't have to put a dot here.0595

I don't have to use parentheses when it is number with variable.0597

Again how do I solve for X?--look at this example again.0603

If we are going to do 8 equals 4 times a number, I can take this number, divide it by this number.0607

8/4; that is going to give me X.0614

Then I have to do this number divided by this number.0617

Remember that this over this becomes 1.0626

This whole side, my right side, just becomes 1X.0630

1X is the same thing as X.0635

That is probably a little bit hard to understand, 1X being the same as X.0639

But it is like me saying I have an apple.0645

If I say I have an apple, you know I only have 1 apple.0650

Even though I didn't say I have 1 apple, you just know because how many A's do you see?0655

You see one; an A is the same thing as 1A.0661

An apple is the same thing as 1 apple.0667

Just think of that as having 1X; again we have to divide that; 1.0672

Be careful, the top number is going to go inside.0683

0.04, the bottom number, is going to go on the outside.0689

Again I have to move this decimal point over one, two spaces to the right.0693

That means I have to take this decimal point; it is at the end.0697

Go one, two spaces; I have to fill these in with 0s.0702

There is my new spot for my decimal point; I bring it up.0709

4 goes into 10 how many times?--4 times 2 is 8.0717

4 times 3 is 12; 12 is too big; it only fits into 10 twice.0724

2 times 4 is 8; subtract it; I get 2.0732

I am going to bring down this 0.0738

4 goes into 20 how many times?--five times.0741

4 times 5 is 20; subtract it; I get a remainder of 0.0746

I can stop there; my answer becomes 25.0753

I don't have to put that decimal because it is a whole number and it is at the end.0758

My answer X is 25; right here, this is 25.0764

Again 1X is the same thing as X; what did this become?0773

This became 25; if 25 is X, then I can just say that X is 25.0778

It is the same exact thing.0786

The next one, 20 equals 100 percent; to decimal.0792

Again start at the end; you are going to go one, two; right there.0806

It is going to be after the 1; 1.0.0810

Remember if the 0s are at the end of a number behind the decimal point, then I can just drop it.0814

Isn't this the same thing as 1?--I can just write 1.0819

100 percent as a decimal is 1; times; of means times.0824

What number, that is my variable; 1 times X; 20 equals 1X.0832

Remember 1X is the same thing as X because if I have 1 apple,0841

that is the same thing as just saying I have an apple.0846

If you want, you can go ahead and divide the 1 just like we did the other problems.0850

20 divided by 1 is 20.0856

Whenever you have a number divided by 1, it is always itself.0860

20 equals X; or I can flip this around.0864

If 20 equals X, then isn't that the same thing as X being 20?0870

Either way, that is correct; we just want to know what the number is.0877

The number is 20; or you can say 20 is the number.0881

It is the same exact thing.0886

Let's do a few more examples; these are a little bit different.0889

What percent of 50 is 10?0895

Now the variable, what we are solving for, is a percent.0900

Be careful here; what percent, I am going to make that X.0907

Times, times; 50, 50; is, equals; 10, 10; X times 50 equals 10.0913

Remember you can change this if you want to 50X just like we did the other problems0929

because a number times a variable, you just put it together with the number in front.0935

50X equals 10; it is the same thing.0939

How do we solve for X then?--how do we get what X is?0944

Remember my example?--let's say I have 3 times X equals 6.0949

You can do this in your head and know that 3 times 2 equals 6.0959

Another way for you to solve it is to do 6 divided by this number; this divided by this.0964

Same thing; we can just do 10 divided by 50.0972

It is not 50 divided by 10.0975

It is this number divided by this number, the one that is multiplied to the variable.0978

I can show you this way; 50/50, that is 1.0985

10/50, that is what you have to do; 10 divided by 50.0993

Again fractions are the same thing as division; 10 divided by 50.0997

A shortcut way of doing this is if you are dividing two numbers1009

with 0s at the end of it, you can just cross out the 0.1014

If there is one 0 up here and one 0 down here, you can just cross out1020

one 0 from each of the numbers as long as there is 0s in both numbers.1022

But we are just going to go ahead and just divide it this way.1027

50 divided by 10; it is not going to go into this number.1032

This number is too big to go into this number.1037

I am going to have to use my decimal point.1040

Do I move it at all?--no, because there is no decimal point here.1042

I can just bring it up, bring it straight up.1047

I can add 0s at the end behind the decimal at the end of a number.1050

Now I can just look at this, 1-0-0, 100.1057

50 goes into 100... 50 plus 50 is 100; or 50 times 2 is 100.1061

Think of 50 cents; 50 cents goes into 100 cents how many times?1072

100 cents is the same thing as a dollar.1080

50 cents goes into a dollar twice; this becomes that.1082

Subtract it; you get 0; no remainder; that is my answer.1087

I don't have to bring down anymore 0s because my remainder became 0.1092

When I divided this, my answer became 0.2; X equals 0.2.1099

Here is the thing though; they are asking for percent.1114

Even though this is my answer, this is my answer as a decimal.1119

They want it in percent; they are asking what percent.1124

They are not asking what decimal; what percent?1127

I have to change this number to a percent; decimal to percent.1129

Remember decimal is a small number; percents are larger.1141

I have to go from a small to a larger.1146

That means I have to move the decimal point over two spaces; but which way?1148

If I go to the left, I am going to get smaller.1154

But if I go to the right, then I start getting whole numbers.1158

I make the number bigger.1162

0.2, to make it into a percent, I need to make it bigger.1165

I need to go to the right; one, two.1169

I have to fill this space with something.1173

0.2 as a percent will be 2-0 and then percent.1177

The decimal point is right here; it is at the end.1185

If it is at the end, remember you can just... it doesn't have to be there.1187

You can make it invisible.1190

Then we have to write the percent sign because we changed it to a percent.1193

My answer is then 20 percent; that is my answer.1196

20 percent of 50 is 10.1204

Another one; again what percent, make that X, your variable.1208

Times 75; is is equals; 7.5.1214

Again we have to do this number divided by this number; 7.5 divided by 75.1224

Again if you want to see it, I can show you this way.1235

because this you have to get rid of by dividing it.1239

This 75/75 is 1; X times 1 is just X.1244

X equals; then I have to actually divide that to find the answer.1251

Here I don't have to move the decimal point anywhere because it is at the end.1258

This decimal point will just come straight up.1263

75 goes into 75 how many times?--once.1267

1 times 75 is 75; subtract it; I get 0.1274

I don't have to go any further; 0.1 is my answer; X equals 0.1.1280

But again remember it is asking for percent.1285

Be careful that you don't forget to change it to a percent.1288

I am going to put that here to represent decimal.1294

To change it percent, I am going to go one, two, point.1301

1; fill this space with a 0; put the percent sign.1306

0.1 in decimal becomes 10 percent; X equals 10 percent; there is my answer.1314

The last one for this; again what percent X times... of is times... 4 equals 4?1325

This one we can just do in our head; what times 4 equals 4?1340

Isn't this 1?--1 times 4 equals 4; 4 times 1, it equals itself.1345

I don't even have to solve this; I can just make X equal to 1.1352

If the problem is fairly easy, you can just do it in your head, then go ahead.1356

There is no need for you to do all the work unless your teacher wants you to show the work.1360

Then X equals 1; since X equals 1... I didn't mean to box this.1367

That is not my final answer so I don't want to box it.1381

Since X equals 1, I need to change it to percent.1385

How do you change a 1, a whole number, into a percent?1391

Again where is the decimal point?--I don't see it.1395

If I don't see it, it is invisible, it is at the end like that.1399

Go one, two, point here; I have two spaces to fill.1404

This becomes 1-0-0 percent; this X equals 100 percent.1411

The next example, we are just going to do a few more, just different types though.1428

The other examples, they were the same kind, all the problems on that page.1433

15 equals what percent, X, times 150; let me rewrite this equation out.1439

Since this is 150 times X, let me just write it here.1452

15 equals... remember whenever I do a variable times a number,1458

I want to write it together but with the number in front; 150X, like that.1463

Then to solve for X, remember I have to do this number divided by this number.1471

I am going to divide this side by 150.1478

Whatever I do to one side, I have to do to the other side.1480

That way this becomes 1X or 1 times X; 1X.1486

That is the same thing as X.1492

15 divided by 150; no decimal point here; I don't have to move it.1495

Instead I need to draw that in; bring it up; add 0s.1509

150, we know it doesn't go into 15.1518

If you want, you can put a 0 up here; if not, then that is fine.1523

Just remember that it is now the next three or just these three.1525

150 goes into 150 one time; that becomes 150.1530

If you subtract it, it becomes 0; I drew an extra 0 there.1536

But you don't even have to bring it down because it is just going to be 0s.1542

Remember 0s at the end of a number behind the decimal point means nothing.1545

0.1 is my answer; X is going to equal 0.1.1551

You can also say 0.1 is going to equal 1X or X; same thing.1558

But I can switch it like this; it is asking for percent.1564

I need to take this decimal point and go one, two; fill in this space.1572

It is going to be 1-0 percent; 0.1 is the same thing as 10 percent.1579

The next one, 30 percent, this is written out as percent.1592

But it still means the same thing as percent like that.1599

30 percent, I have to change that to a decimal.1602

30 percent becomes... at the end, you go one, two, right there.1606

0.30 or 0.3 because remember it is 0s at the end behind the decimal.1613

It doesn't mean anything.1619

0.3 or 0.30; of, times; 12; it is number times number.1621

I can't write it next to each other like how I do numbers with letters.1629

I have to put it in parentheses.1633

Is is equals; what number, this is my variable.1637

All I have to do to figure out what X is is multiply those two numbers.1645

0.30, you know what?--we know that the 0 means nothing.1654

Let's just make it easier and just not even have that 0.1660

One digit number is easier to multiply.1665

I am going to put the 12 on the top; 0.3 on the bottom.1669

Multiply it; 2 times 3 is 6; 3 times 1 is 3.1673

From here, I only have one number behind the decimal point.1680

Start at the end; go place the decimal in there.1685

What I just did, when you multiply decimals, you have to count...1692

This decimal point is at the end, right here.1695

You count to see how many numbers are behind the decimal point.1698

Here I only have one; then I start at the end.1702

I only go one inwards; that is where the decimal place goes.1705

X is 3.6; to finish this equation, 3.6 equals X.1711

3.6 is the number; or I can say the number is 3.6.1723

The next one, 5 percent, change that to a decimal.1734

Start here; go one, two; it is point... fill in that space.1741

It is 0.05; it is not 0.5; 0.05.1745

0.05 times my unknown which is X; X equals 4.1752

Again I have to solve for X which means I have to divide.1764

4 divided by 0.05; 4 divided by 0.05.1768

I have a decimal point here; I have to move it one, two.1779

There is my decimal point; I am going to move it one, two.1784

Bring it up; fill in these spaces with 0s; 5 goes into 4 zero times.1788

5 goes into 40... 5 times we know 8 is 40.1797

Write 40 down here; subtract it; 0.1804

I am not finished with the number yet because I still have space up here.1808

Bring down the 0; 5 goes into 0 zero times.1814

That is why for this, I have to keep going.1818

Even though this became a 0, I have to bring down the 0 and solve it again1820

because there was an empty space before my decimal point.1826

In that case, you have to continue.1831

If it is after the 0 like in this problem right here... I'm sorry.1833

If it is after the decimal point, then I can stop once I get 0 as my remainder.1838

But for this, if there is a space here before the decimal point,1844

then I have to go again until I fill in those spaces.1849

Here this is 80; X is 80; they are not asking for percent.1852

5 percent of 80 is 4.1861

The last one, 100 percent of 3448 is what number?1866

They are asking for 100 percent of this number.1874

100 percent is all of it, is the whole thing.1877

100 percent of this number is just this number.1883

If you want to solve it out how we solved out the rest of them,1888

100 percent as a decimal, again move the decimal point over one, two spaces.1891

That becomes 1 or 1.0 which is the same thing as 1.1898

Times; times 3448; I am going to change this to parentheses.1905

3448 equals what number?--X; 1 times this number is just that number.1912

I can say 3448 is the number or the number is 3448.1926

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