Okay, let's break this down step-by-step:
* Original weight: 220 lbs
* He lost 20% of 220 lbs
* To calculate 20% of 220, change 20% to a decimal: 20% = 0.20
* Multiply the whole (220 lbs) by the percent (0.20):
220 x 0.20 = 44
* So he lost 44 lbs
* His weight after losing 20% was: 220 - 44 = 176 lbs
* Then he gained 5 lbs back
* So his new weight is: 176 + 5 = 181 lbs
The answer is C.
Does this make sense? Let me know if you need any part explained further.
Practical Research 1: Lesson 8 Writing the Thesis Statement.pptx
Fast Track
1. Fast Track
9 am – 12 p.m.
1-4 p.m.
5 - 8 p.m.
What to expect on the O.P.T.
(Official Practice Test for the G.E.D.)
2. The Process
GED
OPT
TABE
Test
Locator
Test
You must complete Fast Track before you can take
the O.P.T. If you miss a day, you will need to re-
take Fast Track.
3. Studies show that people who complete the Fast Track
class score higher on the G.E.D.
4. The Process
1. Fast Track
2. Official Practice Test
Re:Start
Focus Classes
3. Take G.E.D.
5. Notes
• This class only meets two times this week.
• At the end of class today you will sign up to
take the OPT next week.
• You will get two opportunities to take the OPT
test before you need to sign up for classes.
“Success is not a doorway. It’s a
staircase. Take it one step at a time.”
6. O.P.T. Testing Times
Sunday Monday Tuesday Wednesday Thursday Friday Saturday
9am - 1pm 3pm – 7pm
If you need to get off work or arrange your schedule, you may call us when you are ready to
make an appointment.
*You need to make an appointment before you come into test.
7. = 4 hours
*The O.P.T. is required before the G.E.D. in Tennessee.
= 8 hours
*Currently you may only take the G.E.D. 3 times a year.
* Different forms of the test are given each time.
8. How the scoring works……
-You need an average of 450 to
pass with no subject below a
410.
-You only have to retake
subjects you don’t pass- not the
entire test.
We will pay for you to take
your G.E.D. if you pass!
10. GED Subjects
• Reading
• Writing
– Part 1: Grammar
– Part 2: Essay
• Social Studies
• Science
• Math
– Part 1: (calculator)
– Part 2: (no calculator)
12. The essay has more
weight!
If you get a high essay score it can overcome missed
questions on the grammar portion of the test.
13. 1 2 3 4
Inadequate Marginal Adequate Effective
• Answering the Question
• Being Organized
• Writing Clearly
• Being specific
14. 5 Paragraph Essay
Introduction
+
Thesis
Point 1
Point 2
Point 3
Conclusion
15. Steps to Writing an Essay….
1. Read the question carefully.
2. Answer the question.
3. Brainstorm three reasons why
you think the way you do.
4. Write your Thesis or Blueprint.
5. Write your essay.
16. Essay Question
Our world today is changing fast. Sometimes it’s
hard to keep up with all the changes.
Has modern technology, such as a
computer, made people’s lives better or worse?
Write an essay to explain your view on that topic.
Use your personal observations, experience, and
knowledge to support your view.
17. Steps to Writing an Essay….
1. Read the question carefully.
2. Answer the question.
3. Brainstorm three reasons why
you think the way you do.
4. Write your Thesis or Blueprint.
5. Write your essay.
19. Steps to Writing an Essay….
1. Read the question carefully.
2. Answer the question.
3. Brainstorm three reasons why
for your answer.
4. Write your Thesis or Blueprint.
5. Write your essay.
20. Brainstorm!
• More organized •Medical Advancements
• Broader world view •Facebook
•Better entertainment
• Easier communication
•Internet
• Videogames •Stay in touch with family
• Better education Which points are examples
• Faster transportation and which are reasons? Do
not use examples as your
• Access to information three points!
21. Make sure your three points are different from each other.
22. Steps to Writing an Essay….
1. Read the question carefully.
2. Answer the question.
3. Brainstorm three reasons why
for your answer.
4. Write your Thesis or Blueprint.
5. Write your essay.
23. Thesis?
= Question answered + 3 points
I believe modern technology has made people’s lives better
because it keeps people organized, improves
education, and makes communication easier.
24. Steps to Writing an Essay….
1. Read the question carefully.
2. Answer the question.
3. Brainstorm three reasons why
for your answer.
4. Write your Thesis or Blueprint.
5. Write your essay.
25. Has Modern Technology, such as the computer, made people’s lives better or worse?
Write an essay to explain your view on that topic. Use your personal observations, experience, and
knowledge to support your view.
Has modern technology made your life better? I believe modern technology has made people’s
lives better because it keeps people organized, improves education, and makes communication easier.
First, modern technology makes people’s lives better because it helps them keep organized. Cell
phones have alarms so that people never forget about meetings. Computers have calendars where you can
keep track of all your appointments and important dates. Technology definitely helps people keep organized.
Also, modern technology makes people’s lives better because it improves education. Classrooms
can now have projectors where students can watch videos online. Students can even access school outside
the classroom using computers and the internet. This has allowed many people to get an education while
working and raising a family.
Finally, modern technology makes people’s lives better because it makes communication easier.
With cell phones today families and friends can stay in touch whenever they want with a simple call.
Also, facebook allows people to stay connected and even find classmates and old friends.
In conclusion, modern technology has made people’s lives better. With technology people can
keep organized every day. Technology also improves education and helps make communication easier. I look
forward to new technology and wonder how it will continue to make our lives better.
26. Essay Tips
• Begin introduction with a question, story, or fact. End
introduction with thesis.
• Start each paragraph off with a transition and your key
point.
– Use exact wording from thesis.
– DO NOT include details or stories in this sentence.
• In your conclusion, do not state your thesis in one
sentence. Spread it out over two or three sentences.
– Include a final thought.
– Don’t add new ideas here.
28. What does it take to be a good parent?
In your essay, describe the characteristics of a good parent. Give
specific details to explain your views. Use your personal
observations, experience, and knowledge.
29. What has been the happiest day of your life so far?
In your essay, tell what happened that made it so wonderful. Use
your personal observations, experience, and knowledge.
The day my daughter was born because……..
30. Today our workplaces and neighborhoods are composed of
people of diverse backgrounds. For this reason it is important for
people to find ways to get along with each other.
Write an essay explaining how people of diverse backgrounds can
get along better.
31. Math
• Part 1
– 13 questions / 23minutes
– Calculator allowed
*most of the fractions are on this section
• Part 2
– 12 questions / 22 minutes
– No calculator allowed
* you will need to be able to multiply, divide, add, and
subtract (also know decimals)
32. -No mixed numbers on answer sheet.
-Write in the bubble TOO.
-No negative numbers.
34. X, Y charts
Coordinate Plane
Vocabulary
X axis = the horizontal axis ( )
Y axis = the vertical axis ( ) 5
4 (2 , 4)
Coordinates = are a set of points 3
that give a specific location on a 2
map or a chart. (x, y) -5 -4 -3 -2 -1 1
For example: ( 2, 4) x
• The first number is the x. Begin -1
1 2 3 4 5
at 0. Since the number is -2
positive move to the right to the -3
2. -4
-5
• The second number is the y.
y
Start from the 2. Since the
number is positive, move up 4.
35. Guided Practice Directions: Plot
the following
points.
1. (0, 3)
2. (7, 1)
3. (-9, 6)
4. (-12, 0)
5. (-6, -5)
6. (9, -6)
39. Most Common Types of Word
Problems
• Multi-step
• Percent
• Graphs & Tables
• Algebra
• Geometry
• Ratios
40. Statistic Key Terms
• mean (average) = sum ÷ # of items
1,1,7, 3, 8, 9 = 1+1+7+3+8+9 ÷ 6
• median = order from least to greatest
» if two numbers are in the middle find their average
1,1,5,7,8,9 = 5+7 ÷ 2
• mode = number that repeats the most
1,1,5,7,8,9 = 1
42. Multi-Step Word Problems
1. Sam bought 8 gallons of gas that cost $3.85 a
gallon, and Sue bought 7 gallons of gas that
cost $3.95 a gallon. Who spent less money?
Operation: Multiplication
Solution: Sam = 3.85 x 8 =
Sue = 3.95 x 7 =
43. Multi-Step Word Problems
2. Mel and Pam are looking to buy a new car.
They can buy a new BMW for $90,000 in
cash, or they can make a down payment of
$1,500 and make monthly payments of $4,500
for 22 months. How much more money will they
pay if they don’t pay in cash?
Operation:
Solution:
44. Elapsed Time
Elapsed time is the actual time it takes to complete a task. It is
finding the difference between to specific times, or adding to a
specific time. When adding, you may have to carry into another
unit. When subtracting, you may have to borrow from another
unit. This can make finding elapsed time very difficult for some.
Below is a chart with the measurements of time:
1 minute = 60 seconds
1 hour = 60 minutes
24 hours = 1 day
7 days = 1 week
45. Let’s Practice
1. An airplane left the Nashville International
Airport at 9:50 A.M. and arrived at
Tampa, Florida at 11:45 A.M. Nashville is one
hour behind Tampa. How long did the trip
take?
2. If Mrs. Tays leaves home at 6:45 A.M. and
arrives at school at 7:51A.M., how long did it
take her to get to school?
3. Callie can create 200 widgets an hour. If she
gets an order for 1200 widgets and takes a 30
minute break, what time will she be finished
with her order if she starts at 9:00 a.m.
47. Before solving percent problems, it is necessary to change the
percent to a decimal.
When given the percent, always move the decimal 2 places to
the left.
For example: 13% = .13
Tenths
Ones
Hundredths
Tens Thousandths
Hundreds
000 130 .
decimal
Let’s practice changing the following percents to decimals.
1. 62% = _____ 2. 122% = _____ 3. 2% = _____
48. At the end of problems, you may need to change from a decimal
back into a percent.
When you have a decimal, always move the decimal 2 places to
the right to make a percent.
For example: .6 = 60%
Tenths
Ones
Hundredths
Tens Thousandths
Hundreds
000 600 .
decimal
Let’s practice changing the following decimals to percents.
1. .33 = _____ 2. .6 = _____ 3. .03 = _____
49. Percent Word Problems
1. The price of a gallon of heating oil rose from
$1.60 a gallon to $1.92. By what percent did the
price increase?
A) 5%
B) 10%
C) 15%
D) 20%
E) 25%
51. Percent Word Problems
1. The price of a gallon of heating oil rose from
$1.60 a gallon to $1.92. By what percent did the
price increase?
A) 5%
B) 10% 1.92 – 1.60
C) 15% 1.60
D) 20%
E) 25%
52. Percent Word Problems
1. A t-shirt was on sale for $10.50. This week the
shirt price was further reduced to $9.00. What is
the percentage of the price decrease?
A) 5%
B) 10%
C) 14%
D) 20%
E) 25%
53. Percent Word Problems
2. A shirt is on sale for $29.95. What will the
sales tax on the shirt be if the sales tax rate is
7.5%?
A) $1.99
3 parts:
B) $2.10
Percent = %
C) $2.25
D) $2.99 Part = % in dollars
E) $3.10 Whole = Total Price
54. One way to solve percent problems is to use the Percent
Pyramid. The pyramid will explain what operation is
necessary to solve the problem.
In other words:
Part •When given the PART,
you must divide.
÷
•When given the
WHOLE and the
X PERCENT, you must
Whole Percent multiply.
55. The following charts provide key words that will
help identify what each number represents in a
word problem.
Whole Part
•Follows the word “of” •Follows the word “is”
•Original •Discounted Price
•Principal •Interest
•Beginning •Down Payment
•Overall •Amount Paid
•Total •Taxes
•Tips
•Change in price (can be an
increase or a decrease)
56. Percent Word Problems
2. A shirt is on sale for $29.95. What will the
sales tax on the shirt be if the sales tax rate is
7.5%?
A) $1.99
3 parts:
B) $2.10
Percent = %
C) $2.25
D) $2.99 Part = % in dollars
E) $3.10 Whole = Total Price
57. Percent Word Problems
3. Mr. Sanchez weighed 220 lbs. He went on a
diet and lost 20% of his weight. Then he gained
5 lbs back. What is his new weight?
A) 205
B) 185
C) 181
D) 165
E) 160
58. Percent Word Problems
4. Which of the following expressions represents
one month’s interest on an outstanding credit card
debt of $2700 if the annual interest rate is 18%?
A) $2700 x 0.18 / 12
B) 12 x 0.18 / $2700
C) $2700 x 12 / 0.18
D) $2700 x 1.8 / 12
E) $2700 x 18 / 12
59. Algebra
• You will use order of operations to solve three
kinds of problems:
– Substitution
– Solving for variable
– Word Problems
60. Algebra - Order of Operations
When expressions have more than one operation, we have to follow
rules for the order of operations:
Purple Elephants Marching Down A Street
Parenthesis Exponents Multiplying or Addition or
Division Subtraction
• First, do all operations inside parentheses.
• Next, solve the exponents.
• Working from left to right, do all multiplication
and division (whichever comes first)
• Finally, working from left to right, do all
addition and subtraction. (whichever comes first)
61. Order of Operations with a Calculator
The GED calculator allows its users to
[2+6] x 3 ÷ 6 solve problems that have multiple
operations. The entire problem can be
entered as it appears on the test. This is
an excellent resource for checking your
answers.
For example: (2 + 6) x 3 ÷ 6
Enter: [(---
Enter: 2 + 6
Enter: ---)]
Enter: x 3 ÷ 6
Equals: 4
70. Algebra Rules
1. What you do to one side you must do to the other. This keeps
them equal.
2. You must get the variable by itself to find out what number
value it equals. The variable must be ALONE with nothing
else touching it.
71. Solving for variable
One Step: Multi-Step:
-4 = x + 2 ½ n -4 = 9-2
-2 -2 ½ n -4 = 7
x = -6 +4 +4
½ n = 11
Multi-Step: 2( ½ n) = 11(2)
3 + 2n = 43 n = 22
-3 -3
2n = 40 Like Terms:
2 2 2x + 3x + 4 = 6
n = 20
72. Algebra – Solving for Variables
1. Solve for s in 6s – 1 = 2s + 1
A) s=2
B) s=1
C) s = 2/3
D) s=½
E) s = 1/3
73. Algebra – Word Problems
1. Steve makes $42 a week more than his wife, Karen. Karen’s
father, Joe, who lives with Steve and Karen, works part-time and makes
$150 a week less than Karen. Together, the three of them bring home
$1212 a week. How much does Steve make each week?
A) $440
B) $482
C) $492
D) $504
E) $524
74. Geometry
• You will use what you know about geometry
to solve word problems and diagrams:
– length of triangles (Pythagorean theorem)
– angle measurements
– area
– perimeter
*may be combined with algebra
75. Pythagorean Theorem
•Is used to find the third side of a right triangle when the
other two sides are known.
•Key Terms: c
•a & b are known as the legs. a
• c is known as the hypotenuse.
b
•The hypotenuse will always be the opposite side of the
right angle.
•The formula for solving Pythagorean problems is:
a² + b² = c²
76. Pythagorean Theorem
•When you are solving Pythagorean word
problems you will need to identify what sides you
are looking for. The following words be used to
refer to the hypotenuse, side c:
The hyptenuse =
• diagonal
• direct distance
• directly
• any intermediary directions (NW,NE,SW,SE)
• original destination
77. Pythagorean Theorem
1. Barnstable is directly west of Appleton by 48 miles,
and Chatham is directly south of Barnstable. To go
directly from Chatham to Appleton is 52 miles. How
far is it from Barnstable to Chatham?
A) 20
B) 24
C) 36
D) 40
E) 70
78. Pythagorean Theorem
2. A temporary brace is built to support a new
wall. The brace is 12 m long. The brace touches
wall 10 m above the ground. How far out is the
brace from the wall?
79. Triangles
Why do I need to know about triangles?
The GED Test will ask testers to identify missing angles. In order to
answer those questions, a person must have an understanding of
triangles and their characteristics.
A triangle has three sides and three angles
The three angles always add up to 180°
a
a + b + c = 180⁰
b c
80. Equilateral, Isosceles and Scalene
There are three special names given to triangles that tell
how many sides are equal.
Equilateral Triangle
Three equal sides
Three equal angles, always 60°
Isosceles Triangles
Two equal sides
Two equal angles
Scalene Triangle
No equal sides
No equal angles
81. • Triangles can also have names that tell you
what type of angle is inside:
Acute Triangle
All angles are less
than 90°
Right Triangle
Has a right angle (90°)
Obtuse Triangle
Has one angle
more than 90°
93. Graphs
• A graph is a visual picture used to compare data. They allow us to see trends and make predictions on future occurrences.
Steps To Understanding Bar Graphs
* Read the title!
* Read the Vertical Axis Title :
* What do the numbers or words represent?
* Read the Horizontal Axis Title:
* What do the numbers or words represent?
* Look for a key! The key will explain what the bars or colors of the bars
represent.
* Look for trends on the graph.
* Finally, read and answer the questions!!!
94. Bar Graphs
• A bar graph is a visual picture used to compare data. They allow us to see trends and
make predictions on future occurrences.
Steps To Understanding Bar Graphs
* Read the title!
* Read the Vertical Axis Title :
* What do the numbers or words represent?
* Read the Horizontal Axis Title:
* What do the numbers or words represent?
* Look for a key! The key will explain what the bars or
colors of the bars represent.
* Look for trends on the graph.
* Finally, read and answer the questions!!!
95. Total Rainfall in inches from 2008 - 2011
80
70
Average rainfall in inches
60
50
Crossville
40
Nashville
30 Knoxville
20
10
0
2008 2009 2010 2011
Year
96. 1. Based on the information provided on the
graph, which city reported the most rainfall from
2008 to 2011?
2. Which city reported the least amount of rainfall in
2011?
3. Approximately, what was the average rainfall for
Crossville from 2008 to 2011?
4. In what year was the least amount of rainfall
reported?
5. What is the main idea of the graph provided?
97. 2011 Sales for Oldies but Goodies
Toy Factory
6
5
Sales in Thousands
4
Barrel of Monkeys
3
Marbles
Jacks
2
1
0
1st Quarter 2nd Quarter 3rd Quarter 4th Quarter
98. Line Graphs
1. Based on the graph provided, which toy had the best
sales in 2011?
2. Based on the 4th quarter, will the Barrel of Monkeys’
sales increase or decrease in 2012?
3. Which toy was the least popular in 2011?
4. Approximately, what was the difference in sales for
the Marbles and the Jacks in the second quarter?
99. Mrs. Gossett’s Geology 1420
Annual Field Trip
(Analyzing Earth Contents)
16
Distance from Trail Entrance (miles)
14
12
10
8
6
4
2
0
8 AM 9 AM 10 AM 11 AM 12 PM 1 PM 2 PM 3 PM 4 PM
Time
100. 1. From which two points did the students travel at the lowest rate of speed?
a) 8:00 am to 9:00 am
b) 9:00 am to 11:00 am
c) 12:30 pm to 2:00 pm
d) 2:00 pm to 4:00 pm
2. At what average speed did students travel from 12:30 pm to 2:00 pm?
a) 5.25 mph
b) 2.6 mph
c) 2.5 mph
d) 1.5 mph
3. At what average speed did the students travel from 11:00 to 12:30?
Alternate format (fill in the blank)
101. Mr. Potato Head - Math 101
Available Class Points
5%
15%
Attendance
40%
Projects
Quizzes
20% Homework
Tests
20%
102. 1. If there were a total of 375 points for
projects, how many points would be available for
quizzes?
2. If there were a total of 635 points available for
tests, how many points would be available for
homework?
3. Based on the question #2 above, what are the
total points available for Mr. Potato Head’s Class?
4. What total percentage points are used for
homework, projects, and quizzes?
5. What is the average points available for
homework, projects, and quizzes?
103. Scatter Plot
• Scatter Plots are based on individual items. It is
important to remember that each dot represents
ONE.
• Like all other graphs, it is very important to read
all the information presented on the graph.
• Most of the time, a scatter plot is used to
determine the future trends or to show
comparisons between two items.
– A scatter plot has an imaginary line on the graph that is called the Line of
Best Fit. It gives a visual picture of the trend(s) for that specific chart.
104. HS Diploma vs Bachelors’ Degree Annual
Salary Survey
$70,000.00
$60,000.00
$50,000.00
Annual Income
$40,000.00
BS Degree
$30,000.00
High School
$20,000.00
$10,000.00
$0.00
25 30 35 40 45 50 55 60 65
Ages of People Surveyed
105. 1. What is the main idea of this scatter plot?
2. Looking at the line of best fit, what do you think the
salary will be for a man who is 75 and does not have a
college degree?
3. If this same man has a Bachelor’s Degree, what do you
think his salary would be?
4. Based on the graph, why do you think there are more
plots from the ages of 25 to 40?
5. What does the key tell us about the graph?
106. Charts/Menus/Tables
Types of Questions asked about Menus:
Percents
Taxes for food
Tips
Combinations
How many different combinations of entrees can be made from the
menu?
Critical Thinking
What is the better buy between single items/combo items?
Basic
Subtraction
Addition
Multiplication
Division
Averages (mean), Median, Mode, Range
107. Pete’s Grill
Entrees Price Sides Price Drinks Price
Shrimp & Steak $12.50 Loaded Potato $2.59 Pepsi $1.59
Shrimp Scampi $8.50 Broccoli & Cheese $2.00 Diet Pepsi $1.59
Rib eye Steak $13.50 Smashed Potatoes $1.00 Mt. Dew $1.59
Rack o Ribs $21.50 Broccoli & Cauliflower $2.00 Orange $1.59
Tea or Coffee $0.50
1. How many different combinations of the entrees can Eric make?
2. Jennie ordered a Rib eye, a Loaded Potato, and a Pepsi for dinner. If
she had to pay 9% sales tax, what was the total of her order?
3. If Jennie added a 15% tip, what would her total be now?
108. June Temperatures for Maui
Days of the Week
Sun Mon Tue Wed Thur Fri Sat
Week 1 75 77 85 80 87 90 92 83.7
Week 2 88 92 90 95 100 98 99 94.6
Week 3 102 97 95 96 94 97 99 97.1
Week 4 95 92 89 89 91 88 87 90.1
Week 5 89 91 90 90
1. What is the total average temperature for week 4 in June?
2. What was the range of temperature for week 3?
3. Sheri is going to Maui on vacation. She is not a big fan of heat. Which week
would be the best week for her to go?
4. What is the median of temperatures for week 2?
109. A clown handed out balloons to the first one hundred fifty children at a local mall. He
gave them one balloon a piece, and he let them choose the color they wanted. In the
chart below is the total number of balloons handed out and their colors.
Number of Colors of 1. What is the median number of balloons
Children Balloons handed out to the children at the mall?
32 % Red
2. How many children liked the color of Blue
29 % Blue Balloons?
18 % Green
3. What is the percent of children who liked both
7% Yellow Purple and Red balloons?
14 % Purple
4. How many children liked both Blue and Green
balloons?
5. What is the probability of a child choosing a
green balloon?