Week 1 First Meeting: Linear Equations in Two Variables PDF

Math 8 - 3rd Quarter Welcome to the 3rd Quarter Week 1 1st Meeting  SUBJECT OUTLINE LINEAR EQUATIONS IN TWO VARIABLES T3.1. Linear Equations in Two Variables T3.1.1 Finding the Equation Given the Slope and Y- intercept T3.1.2 Finding the Equation Given The...

Math 8 - 3rd Quarter Welcome to the 3rd Quarter Week 1 1st Meeting  SUBJECT OUTLINE LINEAR EQUATIONS IN TWO VARIABLES T3.1. Linear Equations in Two Variables T3.1.1 Finding the Equation Given the Slope and Y- intercept T3.1.2 Finding the Equation Given The Slope and a Point T3.1.3 Finding the Equation Given Two Points T3.1.4 Finding the Equation Given the X and Y-Intercepts SYSTEMS OF LINEAR EQUATIONS IN TWO VARIABLES T3.2.1 Systems of Linear Equations in Two Variables: Categorizing and Graphing Systems of Linear Equations T3.2.1 Graphing Method T3.2.2 Substitution Method T3.2.3 Elimination Method T3.2.4 Applications of Systems of Linear Equations in Two Variables SYSTEMS OF LINEAR INEQUALITIES IN TWO VARIABLES T3.3 Linear Inequalities in Two Variables T3.4 Systems of Linear Inequalities in Two Variables  Math 8 - 3rd Quarter T3.1 Linear Equations in Two Variables Week 1 1st Meeting  LEARNING OBJECTIVES C3.1 Illustrates linear equations in two variables LO 3.1.1 Writes linear equations in two variables in standard form and in general form LO 3.1.2 Writes ordered pairs that will satisfy a given linear equation in two variables LEARNING OBJECTIVES: 1. illustrate the slope of a line 2. find the slope of a line given two points, equation and graph 3. graph a linear function using slope  THINK- PAIR - SHARE After obtaining the vaccine for Human Metapneumovirus (HMPV), the Department of Health (DOH) motivates the Filipinos to receive the vaccine by prioritizing a group composed of 8 eligible members for two categories: pediatric and adult vaccine. What are the possible number of persons eligible for pediatric vaccine and adult vaccine in a group? LEARNING OBJECTIVE: 1. Illustrates a linear equation in two variables  THINK- PAIR - SHARE Note that there are 8 people in a group composed of persons eligible for pediatric and adult vaccine PEDIATRIC VACCINE + = 8 + = 8 ADULT VACCINE 1 7 2 + 6 = 8 LEARNING OBJECTIVE: 1. Illustrates a linear equation in two variables  THINK- PAIR - SHARE Note that there are 8 people in a group composed of persons eligible for pediatric and adult vaccine PEDIATRIC VACCINE + ADULT VACCINE = 8 1 + 7 = 8 2 + 6 = 8 3 + 5 = 8 4 + 4 = 8 5 + 3 = 8 … + … = 8 LEARNING OBJECTIVE: 1. Illustrates a linear equation in two variables  THINK- PAIR - SHARE Note that there are 8 people in a group composed of persons eligible for pediatric and adult vaccine x PEDIATRIC VACCINE + y ADULT VACCINE = 8 1 + 7 = 8 2 + 6 = 8 3 + 5 = 8 4 + 4 = 8 5 + 3 = 8 … + … = 8 LEARNING OBJECTIVE: 1. Illustrates a linear equation in two variables  Standard form of a Linear Equation in Two Variables ax + by = 8 c a=1 b=1 c=8 A linear equation in two variables is an equation that can be written in standard form as: ax + by = c where a, b, and c are real numbers, but a and b are NOT zero. LEARNING OBJECTIVE: Writes linear equations in two variables in standard form and in general form  ax + by = c Write in standard form. 2y = -4x - 5 x - 5 = -4y LEARNING OBJECTIVE: Writes linear equations in two variables in standard form and in general form  General form of a Linear Equation in Two Variables ax + by + c =0 a=1 b=1 c= -8 A linear equation in two variables is an equation that can be written in standard form as: ax + by + c =0 where a, b, and c are real numbers, but a and b are NOT zero. LEARNING OBJECTIVE: Writes linear equations in two variables in standard form and in general form  ax + by + c = 0 Write in general form. y = -2x + 3 2x - 7 = 3y LEARNING OBJECTIVE: Writes linear equations in two variables in standard form and in general form  Solutions of a Linear Equation in Two Variables a b The solutions of a linear equation in two variables are ordered pairs that make the equation true. The equation’s solution set is infinite. Some of the solutions (1,7), (2,6) , (3,5), (4,4) … of the equation is LEARNING OBJECTIVE: Writes ordered pairs that will satisfy a given linear equation in two variables  Graphing a Linear Equation in Two Variables ❑ Every point on the line is the x+y=8 solution of the equation. ❑ The solution set of a linear equation is infinite. (1,7), (2,6) , (3,5), (4,4) … LEARNING OBJECTIVE: Writes ordered pairs that will satisfy a given linear equation in two variables  Complete the ordered pairs so that they satisfy the linear equation 6x + 2y = -8 ( 6, ___) (___, 3) LEARNING OBJECTIVE: Writes ordered pairs that will satisfy a given linear equation in two variables A linear equation in two variables is an equation that can be written in the standard form ax + by = c where a, b, and c are real numbers, but a and b are not zero. The solution of linear equation in two variables is an ordered pair that makes a true mathematical statement of the equation. Linear Equation in Two The equation’s solution set is infinite. Variables Solutions of linear equations may be written using a table or by simply listing the ordered pairs.  EXERCISE https://forms.gle/t9bCDn7faynWFoha9 LEARNING OBJECTIVE: Writes ordered pairs that will satisfy a given linear equation in two variables