Quarter 2 Module 2: Illustrating and Graphing Linear Inequalities in ...

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Mathematics

Quarter 2 ? Module 2: "Illustrating and Graphing Linear Inequalities in Two

Variables"

CO_Q2_Mathematics8_ M2

Mathematics ? Grade 8 Alternative Delivery Mode Quarter 2 ? Module 2: Illustrating and Graphing Linear Inequalities in Two Variables First Edition, 2020

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Published by the Department of Education Secretary: Leonor Magtolis Briones Undersecretary: Diosdado M. San Antonio

Development Team of the Module

Author:

Anacita C. Suarez

Content Editor: Willy C. Dumpit, Vincent R. Lagat, Karen M. Basut

Language Editors: Vicente P. Balbuena

Reviewer:

Nilo B. Monta?o, Lee C. Apas, Jenny O. Pendica,

Lorna G. Camiguing, Arnold Abadiano

Illustrator:

Anacita C. Suarez

Layout Artist:

Anacita C. Suarez, Jay R. Tinambacan, Leonil Rechie P. Cahanap

Management Team: Francis Cesar B. Bringas, Isidro M. Biol, Jr., Rhea J. Yparraguirre, Maripaz F. Magno, Josephine Chonie M. Obseares, Josita B. Carmen, Celsa A. Casa, Regina Euann A. Puerto, Bryan L. Arreo, Lieu Gee Keeshia C. Guillen, Leopardo P. Cortes, Jr., Claire Ann P. Gonzaga

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Department of Education ? Caraga Region

Office Address:

Telefax No.: E-mail Address:

Learning Resource Management Section (LRMS) J.P. Rosales Avenue, Butuan City, Philippines 8600 (085) 342-8207 / (085) 342-5969 caraga@.ph

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Mathematics

Quarter 2 ? Module 2: "Illustrating and Graphing Linear Inequalities in Two

Variables"

Introductory Message

This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson.

Each SLM is composed of different parts. Each part shall guide you step-bystep as you discover and understand the lesson prepared for you.

Pre-tests are provided to measure your prior knowledge on lessons in each SLM. This will tell you if you need to proceed on completing this module or if you need to ask your facilitator or your teacher's assistance for better understanding of the lesson. At the end of each module, you need to answer the post-test to self-check your learning. Answer keys are provided for each activity and test. We trust that you will be honest in using these.

In addition to the material in the main text, Notes to the Teacher are also provided to our facilitators and parents for strategies and reminders on how they can best help you on your home-based learning.

Please use this module with care. Do not put unnecessary marks on any part of this SLM. Use a separate sheet of paper in answering the exercises and tests. And read the instructions carefully before performing each task.

If you have any questions in using this SLM or any difficulty in answering the tasks in this module, do not hesitate to consult your teacher or facilitator. Thank you.

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What I Need to Know

In this module, you will be learning the concepts of graphing linear inequalities in two variables. You are provided with varied activities to process the knowledge and skills learned and enhanced your understanding of the lesson. The scope of this module enables you to use it in many different learning situations. The lesson is arranged to follow the standard sequence of the course. But the order in which you read them can be changed to correspond with the textbook you are now using. This module contains:

Lesson 1- Linear Inequalities in Two Variables and its Graphs

After going through this module, you are expected to: 1. illustrate linear inequalities in two variables; 2. graph linear inequalities in two variables; and 3. represent real-life situations using linear inequalities in two variables.

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What I Know

Directions: Write the letter that corresponds to the correct answer. Use a separate answer sheet. After taking the test, take note of the item/s that you failed to answer correctly. Find the correct answer as you go through this module.

1. Which of the following is a linear inequality in two variables?

A. 3 16 B. 3 ? 4 > 5

C. 9 + 4 < 12 D. 11 + 2 3

2. What is the graph of linear inequalities in two variables?

A. half-plane B. half of a parabola

C. parabola D. straight line

3. How many solutions does a linear inequality in two variables have?

A. 0

B. 2

C. 1

D. infinite

4. Which of the following inequalities is represented by the given graph?

A. 2 + 2 > 2

B. 3 + 2 > 2

C. 3 + 2 < 2

D. 3 ? 2 < 2

5. Which is the correct inequality for the shaded region? A. = - - 1 B. > - - 1 C. < - + 1 D. > - 1

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6. Given the graph of y 2 - 5 below, which of the following ordered pairs satisfies the inequality? A. (2, -5)

B. (5, 2)

C. (-2, -7)

D. (5, -7)

7. For what possible values of x and y will make the inequality 2 + > 6 true?

A. (-3, 1)

B. (3, - 2)

C.(1, 3)

D. (3 ,2)

8. Which of the following graphs represents 3 + 4 8?

A.

C.

B.

D.

9. In the inequality 6 - 4 10, what could be the possible values of if = 2?

A. 1 / 3 B. 3

C. < 1 / 3 D. > 1 / 3

10. Which of the following inequalities has (3, 1) as a solution?

A. 2 ? < 3 B. 2 + < 3

C. 2 + > 6 D. 2 ? > 6

11.What can be said about the solutions of the inequality + 2 < 5?

A. The solutions are on the line. B. The solutions are located below the line. C. The solutions are located above the line. D. All of the above.

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12. All of the following points are part of the solution set of an inequality as shown in the graph EXCEPT one. What is it?

A. (0,1) B. (5,1)

C. (-4, 6) D. (-3, -12)

13. Which of the following graphs describes the linear inequality 2 + 3 15?

C. A.

B.

D.

14. Lian's age is four less than Cita's age. The sum of twice Cita's age and thrice Lian's age is at most 18. How old is Lian?

A. at most 2 years old B. at most 6 years old

C. at most 18 years old D. at most 21 years old

15. The total amount Shobie paid for two kilos of beef and three kilos of fish is less than 700. Suppose a kilo of beef costs 250. What will be the maximum cost of a kilo of fish? Round off the answer to the nearest whole number.

A. Php 60 B. Php 65

C. Php 66 D. Php 67

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