1. Exercises Which reasoning process is shown? Explain your answer.
We examine the fingerprints of 1000 people. No two individuals in this group of people have identical fingerprints. We conclude that for all people, no two people have identical fingerprints.
Exercises
All freshmen live on campus. No people who live on campus can own cars. Joan is a freshman. We conclude that Joan cannot own a car.

2. Exercises Find a counterexample to show that each conjecture is false.
If a number is multiplied by itself, the
result is even.
If the difference between two numbers is
odd, then the two numbers are both odd.
Exercises
Identify a pattern and find the next number.
1. 8, 12, 16, 20, 24, ____
2. 37, 32, 27, 22, 17, _____
3. 3, 9, 27, 81, 243, _____
4. 1, 4, 1, 8, 1, 16, 1, _____

3. Exercises Write a conjecture and prove using deductive reasoning.
Select a number. Multiply the number
by 4. Add 8 to the product. Divide
this sum by 2. Subtract 4 from the
quotient.
Exercises
Select a number. Add 5. Double the
result. Subtract 4. Divide by 2.
Subtract the original number.

4. Exercises What necessary piece of information is
missing that prevents solving the problem?
If a student saves 50 baht per week, how
long will it take to save enough money to
buy a computer?
If it takes you four minutes to read a
page in a book, how many words can
you read in one minute?
Exercises
By paying 100,000 baht cash and the
balance in equal monthly payments,
how many months would it take to pay
for a car costing 250,000 baht?

5. Exercises Identify the unnecessary piece of information.
Solve the problem.
A salesperson receives a weekly salary of
$350. In addition, $15 is paid for every
item sold in excess of 200 items. How
much extra is received from the sale of
212 items?
Exercises
A parking garage charges 50 baht for
the first hour and 20 baht for each
additional hour. If a customer gave a
parking attendant 200 baht for parking
from 10 A.M. to 3 P.M., how much did the
garage charge?

6. Exercises Solve the following problems:
A television sells for $750. Instead of
paying the total amount at the time of the purchase, the same television can be bought by paying $100 down payment and $50 a month for 14 months. How much is saved by paying the total amount at the time of the purchase?
Exercises
A storeowner ordered 25 calculators that
cost $30 each. He can sell each calculator for
$35. He sold 22 calculators to customers but
had to return 3 calculators and pay a $2
charge for each returned calculator. Find
the storeowner’s profit.

7. Exercises What problem-solving strategy is best to use
to solve the following problems?
1. Charlene decided to ride her bike from
her home to visit her friend Danny.
Three miles away from home, her bike
got a flat tire, and she had to walk the
remaining two miles to Danny’s home.
She could not repair the tire and had to
walk all the way back home. How many
more miles did Charlene walk than she
rode?
Exercises
2. If a family has four children, in how many
ways can there be three boys and one girl?

8. Exercises ACT IT OUT! There are five people in a room. Each person
shakes the hand of every other person exactly
once. How many handshakes are exchanged?
A farmer needs to take his goat, wolf, and
cabbage across the stream. His boat can hold him and one other passenger. If he takes the wolf with him, the goat will eat the cabbage. If he takes the cabbage, the wolf will eat the goat. Only when the farmer is present are the cabbage and goat safe from their respective predators. How does the farmer
get everything across the stream? (8th century)
Exercises

9. Exercises GROUP WORK You started college with your best friend. This
Discuss the following real-life problematic
situation and write 7 or more short solutions
that might be effective in solving the problem
(to be passed).
You started college with your best friend. This
semester, you and your friend are taking two
classes together. Your friend, who has a job
and children, is failing both classes. What
suggestions can you offer your friend to help
pass the classes and succeed in college?
Exercises

10. Homework (to be submitted on Wednesday,
September 6):
Jose is driving in a subdivision where the speed limit is 44 km per hour. The distance from the gate to his destination is 2 km. He is in such a hurry that he decided to increase his average speed to 66 km per hour. a) How much travel time (in seconds) did he gain? b) Is the lesser travel time worth the traffic
violation? Explain your answer.
Exercises

11. Exercises 2. Four weeks ago, you decided to go on a diet.
You weighed 165 lb then. During the first
week, you lost 12 lb, and during the second
week, you lost 3-1/2 lb more. However, your
birthday occurred during the third week,
and because of the celebration feast and
other things, you gained 10 lb. During the
fourth week, your willpower returned, and
you lost 6-1/2 lb. a) How many lb did you
gain or lose during the 4-wk period. b) What
was your weight at the end of the 4-week
period? c) Describe the strategy you used in
solving the problem. d) How important is
willpower in reducing weight?
Exercises

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