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Math7 q2 mod7of8 Algebraic-Expressions-Linear-Equations-and-Inequalities
BSEd Mathematics (HOM-1)
JH Cerilles State College
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Mathematics 7
Quarter 2 – Module 7 :
Algebraic Expressions,
Linear Equations and
Inequalities
7
Writers: Editor: Reviewer: Illustrator: Layout Artist:
Development Team of the Module
Ana Cristy P. Mercado, Eliza B. Aguelo Venus Jane E. Rosete Reynaldo C. Tagala Ian Caesar E. Frondoza Maylene F. Grigana Management Team: Allan G. Farnazo, CESO IV - Regional Director Gilbert B. Barrera - CLMD Chief Arturo D Jr. -Regional EPS In Charge of LRMS Peter Van C. Ang-ug- Regional ADM Coordinator Donna S. Panes - CID Chief Elizabeth G. Torres - Division EPS In Charge of LRMS Judith B. Alba - Division ADM Coordinator
Mathematics – Grade 7 Alternative Delivery Mode Quarter 2 – Module 8: Algebraic Expressions, Linear Equations and Inequalities First Edition, 2020
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Department of Education – RegionXII
Office Address: Regional Center, Brgy. Carpenter Hill, City of Koronadal
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What I Need to Know
This module was designed and written with you in mind. It is here to help you master the Algebraic Expressions, Linear Equations and Inequalities. The scope of this module permits it to be used in many different learning situations. The language used recognizes the diverse vocabulary level of students. The lessons are 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.
The module is comprised of only one lesson: Algebraic Expressions, Linear Equations and Inequalities After going through this module, you are expected to:
- define and differentiate linear equation and inequality in one variable; and
- illustrate linear equation and inequality in one variable.
What I Know
Choose the letter of the correct answer. Write the chosen letter on a separate sheet of paper.
It is a mathematical sentence which states that the two expressions are unequal. A. Equation B. Equivalent C. Expression D. Inequality
It is a statement in which two expressions, at least one containing the variable are equal. A. Equation B. Equivalent C. Expression D. Inequality
Complete the statement: <When the highest power of the variable of an equation is 1, the equation is .= A. Equivalent B. Indirect C. Inequality D. Linear
All of the following are linear inequality, EXCEPT: A. x f 7 B. x + 2 < 1 C. 2x - 4 f 3 D. 4x+7 = 12
All of the following are linear equations, EXCEPT: A. 12 + y ≠ 10 B. 3x - 6 = 9 C. 7(x- 3) = 42 D. 3x + 9 = 27
The symbol <== is used to indicate. A. Equation B. Equality C. Inequality D. Equivalent
The symbol <<, >, f, g, ≠= is used to indicate.
A. Equation B. Equality C. Inequality D. Equivalent
Lesson
1
Algebraic Expressions,
Equations and Inequalities
In this lesson, you will learn the definition and differences between linear
equation and inequalities in one variable.
What’s In
Before going to the actual topic, let’s review! Algebraic Expressions are expressions made up of constant and variable, along with algebraic operations such as addition and subtraction. A v ariable, usually represented by a letter, takes a quantity or value that may vary. A constant is a number, letter, or symbol whose value is fixed.
Examples:
5a - 75 2y + 5y 3m - 4
An equation is a mathematical statement which expresses that two numbers or two algebraic expressions are equal. An equation that contains a variable is an open sentence which can be true or false depending on the value of the variable. The value of the variable that makes the equation true is a solution of the equation.
Examples: 5m + 20 = 10 6b - 23 = 27 4p - 29 = - A closed sentence is a mathematical statement containing no variables. Examples: 1 + 2 = 3 2 (6) = 12 10 - 2 = 8
Do the exercise below.
Exercise: Shown below are two columns, A and B. Column A contains expression while Column B contains equations. Observe and compare the items under each column then answer the questions that follow. Column A Column B
Mathematical Expressions Mathematical
Equations x + 2 x + 2 = 5
2x - 5 4 = 2x - 5
x + 4bc x = 2
7x - 7 7 = 3 - x
How are items in column B different from Column A?
What symbol is common in all items of Column B?
Write at least two other examples on the space provided below each column.
What’s
New
Previously, you just have learned about expression and equation. Now, let’s try to review about inequalities.
An inequality is any mathematical statement relating two quantities using an inequality symbol such as <, >, f or g.
Examples:
z g 7 n + 9 > 7 k - 9 < 18
Now, let’s try this!
Group the following to which they belong.
2x - 2 < 6x - 5 7b + 5 = - 9 8p - 90
6y + 1 g 3 3c + 9 4a - 11 = 18 a + 2 = 22 68+ 2y 3x > 7
Expression Equation Inequalities
Answer the following questions:
How many groups are there?
What symbols did you observe in each group?
How many variables are there in each expression?
####### Standard Form Linear Inequality in one variable
Is an inequality which can be put into the form
left side ax + b > c right side
Inequality sign
where a, b and c are real numbers and ab0.
Inequality Symbols
< lesser than
> greater than
f less than, equal to or at most
g greater than or equal to, at least
b not equal to
The following are some examples of linear inequalities in one variable.
2x + 4 < 2 x > - 2 x g 0
2x - 2 < 6x - 5 6x + 1 g 3 (x - 5) 2(x - 8) < 10
What’s More
Identify which of the following expressions is an equation or an inequality. Write your answer on a separate sheet of paper. Do not copy the expressions anymore.
7x + 2 = - 19
3(x+ 4) = 21
5x - 4 < 21
3x - 9 > 5x - 3
3 (x- 3) = 4 (2x + 1)
How are they alike?
Linear Equation Linear Inequality
How are they different?
7x - 2 = 8 - x
2x - 6 g 0
2 (x - 1) + 2 (3x - 1) f 0
4 + 3x = 2 - 2x
8 - 2x = 5 - 4x
What I Have Learned
To check your understanding of the linear equation and inequality, accomplish this compare and contrast chart. You can provide your own examples in establishing how are they alike and how are they different.
Compare and Contrast Chart Graphic Organizer
Linear Equation Linear Inequality
Assessment
Choose the letter of the best answer. Write the chosen letter on a separate sheet of paper.
It is a combination of numbers, operations and variables. A. Equation B. Equivalent C. Expression D. Inequality
It is a statement which expresses that two numbers or algebraic expressions are equal. A. Equation B. Equivalent C. Inequality D. Linear
It is any mathematical statement relating two quantities using the symbol >, <, f or g. A. Equation B. Equality C. Inequality D. Equivalent
The symbol <== is used to indicate. A. Equation B. Expression C. Inequality D. Sign
Complete the statement: <When the highest power of the variable of an equation in one variable is 1, the equation is =. A. Indirect B. Inequality C. Linear D. Solution
All of the following are linear inequality, EXCEPT: A. x f 0 B. x = 2 C. x - 4 f 3 D. x - 4 b 12
All of the following are linear equation, EXCEPT: A. 5 + y b 10 B. 3x - 6 = 21 C. 3(x- 3) = 81 D. 7x + 8 = 72
Which mathematical equation has one variable? A. x - 5y = 5 B. 12 + y b 10 C. y + 8 = D. 5x - 1 = 2y+
Which mathematical inequality has one variable? A. x - 5 = 5 B. 12 + y = 10 C. y + 8 b2y + D. 5x - 1 < 2y+
Which of the following is a linear equation in one variable? A. 3x - 4 < 2 B. 5x - 4 > 12 C. 8x > 1 D. 10x = 30
Additional Activities
Illustrate each linear equations and inequalities in one variable by modeling each expression. An example is provided for you.
Legend:
represent constant 1 (positive) - represent variable x (positive)
represent constant 1 (negative) - represent variable x (negative)
Expression Illustration
3x - 5 < 2 <
x + 3 > 1
3x g 6
2 - 3x > x - 3
2x - 3 f 5
ADDITIONAL ACTIVITIES 1.
2. >
<
3. g
4. >
5. f
References
- K TO 12 GRADE 7 LEARNING MODULE IN MATHEMATICS (Q1 –
Q2). (2014, March 11). Retrieved from slideshare/lhoralight/k-to-
12grade-7-learning-material-in-mathematics-q1q
Slideplayer published by Anthony Parsons Academia .ed
Learning Module Mathematics
G7/Q2 Private Education
Assistance Committee
- Grade 7 Mathematics – Patterns and Practicalities,
Updated Edition, pp. 278-282; 296-298.
EDITOR’S NOTE
This Self-learning Module (SLM) was developed by DepEd
SOCCSKSARGEN with the primary objective of preparing for and
addressing the new normal. Contents of this module were based
on DepEd’s Most Essential Learning Competencies (MELC). This is
a supplementary material to be used by all learners of Region XII
in all public schools beginning SY 2020- 2021. The process of LR
development was observed in the production of this module. This
is version 1. We highly encourage feedback, comments, and
recommendations.
For inquiries or feedback, please write or call:
Department of Education - Bureau of Learning Resources (DepEd-BLR)
Ground Floor, Bonifacio Bldg., DepEd Complex Meralco Avenue, Pasig City, Philippines 1600 Telefax:
(632) 8634 - 1072; 8634 - 1054; 8631- 4985
Email Address: blr@deped * blr@deped
Math7 q2 mod7of8 Algebraic-Expressions-Linear-Equations-and-Inequalities
Course: BSEd Mathematics (HOM-1)
University: JH Cerilles State College
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