This document appears to be a presentation on mathematics for 8th grade students. It covers topics like linear functions, rates, equations to model change, and conditional statements. It provides examples of different types of math problems and their solutions. It also defines key concepts like hypotheses and conclusions of conditional statements, and discusses how to determine if a conditional statement is true or false.

1. MATHEMATICS 8
Julie I. Gelera
Subject Teacher

2. THIS IS YOUR
PRESENTATION TITLE
Write your subtitle here

3. MATH SUBJECT FOR HIGH
SCHOOL
8th Grade

4. Which of the following is the
standard form of a linear
function?
A. 𝒇(𝒙) = 𝒃𝒙 + 𝒎 C. 𝒇(𝒙) = 𝒎𝒙 + 𝒃
B. 𝒇(𝒙) = 𝒃𝒙 – 𝒎 D. 𝒇(𝒙) = 𝒎𝒙 − 𝒃
standard
C. f(x) = mx + b

5. James likes to read a magazine.
He reads 50 pages in 2 hours. At
the same rate, how many hours
will it take him to read the
remaining 150 pages?
A. 6 C. 8
B. 7 D. 9
A. 6

6. A family buys a case of water
with 48 bottles and consumes 5
bottles per day. Which equation
shows the number of bottles left
after x days?
A. 𝒇(𝒙) = 𝟓𝒙 − 𝟒𝟖 C. 𝒇(𝒙) = 𝟒𝟖 + 𝟓𝒙
B. 𝒇(𝒙) = 𝟓𝒙 + 𝟒𝟖 D. 𝒇(𝒙) = 𝟒𝟖 − 𝟓𝒙
D. f(x) = 48 - 5x

8. SIMON SAYS!

9. SIMON SAYS!

10. SIMON SAYS!

11. SIMON SAYS!

12. SIMON SAYS!

13. 8th Grade
Quadratic Functions

14. Determines the relationship
between the hypothesis and
the conclusion of an if-then
statement

15. 1. Define if – then statements
2. Identify the hypothesis and
conclusion of the statement
3. Determine the relationship
between the hypothesis and the
conclusion

16. Examples:

18. Conditional Statement - is also
called an “If-then” statement.
- It can be written in the form
“If p, then q.”
𝒑 → 𝒒

19. Hypothesis – the part p of a conditional
statement following the word if.
- It is the given information or premise.
Conclusion – the part q of a conditional
statement following the word then.
- It is also the result of the given
information.

20. If this happens, then that will happen.
hypothesis conclusion
given result
cause effect

21. The word if is NOT PART of
the hypothesis;
the word then is NOT PART of the
conclusion.

22. Underline the hypothesis (p)
and box the conclusion (q) .

23. Underline the hypothesis (p)
and box the conclusion (q) .

24. Underline the hypothesis (p)
and box the conclusion (q) .

25. Underline the hypothesis (p) and
box the conclusion (q) .

26. A conditional statement has a
truth value of true or false.
A conditional statement to be
true, show that when hypothesis
is true, the conclusion is also
true.

27. To show that a conditional
statement is false, you need to
have a counterexample where
the hypothesis is true, and the
conclusion is false.

28. 1. If 𝟑𝒙 = 𝟐𝟒, then 𝒙 = 𝟖.
This is a true conditional
statement since there is no other
value of 𝒙 that will make the
equation 𝟑𝒙 = 𝟐𝟒 true except 𝟖.

29. Show that the conditional
statements are false.
2. If 𝒙² = 𝟔𝟒, then 𝒙 = 𝟖.
The conditional statement is false
since the conclusion have other value
to make the statement true. The
counterexample is –8 since (-8)² = 64.

30. Show that the conditional
statements are false.
3. If a figure has 4 equal sides, then it is a
square.
The conditional statement is false since
rhombus is a figure with 4 equal sides, too.

31. A conditional statement has a truth value of
either true or false. For us to know the truth value
of the statement we are going to use the Truth
Value Table. p q p q
T T T
T F F
F T T
F F T

32. A. Identify the hypothesis and the
conclusion in each given sentence.
1. If it rains, then the game is
cancelled.
2. If it is 9:05 a.m., then I’m late to
class.
3. When it rains, then I do not have to
water the garden.

33. A. Identify the hypothesis and the
conclusion in each given sentence.
4. The perimeter of a square is 4𝑥 +
8 if one side of the square is 𝑥 + 2.
5. If a polygon has exactly three sides,
it is a triangle.

34. B. Determine if the given conditional
statement is TRUE or FALSE. If False,
give counterexample.
1. If an animal is a bird, then it can fly.
2. If a number ends in the digit 0,2,4,6
or 8, then it is an even number.
3. If a food is a fruit, then it is an
apple.

35. B. Determine if the given conditional
statement is TRUE or FALSE. If False,
give counterexample.
4. If a number is odd, then it's not
divisible by 2.
5. If a triangle is right, then it has two
congruent angles.

36. Evaluation

37. A. Identify the hypothesis and the
conclusion in each given sentence.
1. If you skydive without a parachute,
then you'll have a really bad day.
2. If you run into a brick wall, then a
visit to the hospital will probably
follow.

38. A. Identify the hypothesis and the
conclusion in each given sentence.
3. When you don't take your
antibiotics, then your infection will
continue to get worse.
4. You'll wake up with fleas if you lie
down with dogs.
5. If an integer is divisible by 5, the
last digit must be 0 or 5.

39. B. Determine if the given conditional
statement is TRUE or FALSE. If False,
give counterexample.
1. If three points are coplanar, then
they belong to the same plane.
2. If you are tall, you are a basketball
player.
3. If two planes have no point in
common, thenthey are parallel.

40. B. Determine if the given conditional
statement is TRUE or FALSE. If False,
give counterexample.
4. If you travel in other country, then
you need a visa.
5. If a figure is a triangle, then the
angles are acute.

41. Thank you very much for
listening and cooperating!