This document presents 3 math word problems and provides explanations of consistent and dependent relationships between hypotheses and conclusions in if-then statements. Problem 1 involves finding 2 numbers given their sum and difference. Problem 2 involves finding a person's age given the sum of their age and another's age from 2 years ago. Problem 3 involves finding the larger of 2 numbers given a relationship between them. It then defines consistent and dependent relationships between equations in a system as having coinciding graphs where the lines have equal slopes and y-intercepts.

1. “DETERMINING THE RELATIONSHIP BETWEEN THE
HYPOTHESIS AND THE CONCLUSION OF AN IF-THEN
STATEMENT”

2. PROBLEM 1.
The sum of two numbers is
104 and their difference is 12.
What are the numbers?

3. PROBLEM 2
The sum of Joana’s age and
Jelai’s age is 80.Two years
ago, Joana was thrice as old
as Jelai’s. Find Joana’s age.

4. PROBLEM 3.
If one number is three times as
large as another number and the
smaller number is increased by
19, the result is 6 less than twice
the larger number.What is the
larger number?

20.  Activity #1: Chika minute!
 Let the students identify if the following filipino couples belongs to the following
love story. Let them paste the pictures on the board with the corresponding
column they think it belongs.

 1. Met but not destined. (Pinagtagpo pero hindi tinadhana.)
 2. Married couple. (TInadhana!Unified as one)
 3. Friends only. (Walang Label! Close lang talaga sila)

26. CONSISTENT AND DEPENDENT
Consistent and dependent if the graph of
the equations coincides, then all the points
on the line will be the solution to that
system.The slopes of the lines defined by
the equations are equal.Their y-intercept are
also equal.