§2.5 Model Direct Variation CA Standard 2.0 Students solve systems of linear equations and inequalities (in two or three variables) by substitution, with.

Slides:

Advertisements

Similar presentations

Solving System of Equations Using Graphing

Advertisements

TODAY IN ALGEBRA…  WARM UP: Determining whether an ordered pair is a solution and graphing linear equations  Learning Goal: 6.7 You will graph linear.

Write and graph a direct variation equation

6.8 –Systems of Inequalities. Just like systems of equations, but do the inequality part!

EOC Practice #18 SPI EOC Practice #18 Solve systems of linear equations/inequalities in two variables.

Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.3 Systems of Linear Equations In Two Variables.

7.1 SOLVING SYSTEMS BY GRAPHING The students will be able to: Identify solutions of linear equations in two variables. Solve systems of linear equations.

Systems Warm-Up Solve each linear system. 1.x + 7 = y -4x + 2 = y 2.x + 2y = 10 3y = 30 – 2x.

Solving Systems of Equations by Graphing

Warmups 1. Graph y > -x 2. Graph 2x - y < 6 3. Write 2 equations in slope-intercept form that are parallel and perpendicular to: (0,-2) y = -3x + 7.

TODAY IN ALGEBRA…  Warm Up: Graphing Linear Equations and solving for y.  Learning Goal: 7.1 You will solve systems on linear equations by Graphing 

6-1B Solving Linear Systems by Graphing Warm-up (IN) Learning Objective: to solve a system of 2 linear equations graphically Given the equations: 1.Which.

Section 4-1: Introduction to Linear Systems. To understand and solve linear systems.

3.4 Solving Systems of Linear Inequalities

5.4 – Solving Compound Inequalities. Ex. Solve and graph the solution.

Solving Open Sentences Involving Absolute Value

Notes Over 2.1 Graphing a Linear Equation Graph the equation.

1.1 Solving Linear Systems by Graphing 9/14/12. Solution of a system of 2 linear equations: Is an ordered pair (x, y) that satisfies both equations. Graphically,

I can write and graph an equation of a direct variation.

Direct Variation 3.6. Direct Variation  Direct Variation is when two variables can be expressed as y=kx where k is a constant and k is not 0.  k is.

Warm Up Solve for y: 1) 2). HW Check 4.7 CORE Time Complete the Puggly Wuggly Worksheet.

M3 1.5 Systems of Linear Inequalities M3 1.5 Systems of Linear Inequalities Essential Questions: How can we write and graph a system of linear inequalities.

Complete the DO NOW in your packets

Warm-up 4-1. x – y = 33x + y = 52y = 6 – x x + y = 5x – 2y = 43x – 2y = 6 Graphs:

+ Unit 1 – First degree equations and inequalities Chapter 3 – Systems of Equation and Inequalities 3.1 – Solving Systems by Graphing.

Chapter 4: Systems of Equations and Inequalities Section 4.3: Solving Linear Systems Using Graphs.

§2.4 Write Equations of Lines CA Standard: Algebra 1: 7.0 Students verify that a point lies on a line, given an equation of the line. Students are able.

Solving Systems By Graphing. Warm – Up! 1. What are the 2 forms that equations can be in? 2. Graph the following two lines and give their x-intercept.

TODAY IN ALGEBRA 2.0…  Review: Solving Linear Systems by Graphing  Learning Goal 1: 3.2 Solving Linear Systems by Substitution with one equation solved.

WRITE THE EQUATION OF THE LINE THROUGH THE GIVEN POINTPER PARALLEL TO THE GIVEN LINE.

Lesson 2.8 Graph Linear Inequalities in Two Variables.

3.2 WARM - UP Solve the system graphically. 4x – 2y = -8 x + y = 1 –5–4–3–2– –5 –4 –3 –2 – x – 2y = -8 -4x -2y = -4x – 8 y = 2x + 4 x.

Chapter 3: Linear Systems and Matrices

Warm Up: Graph y = - 2x + 7 and find the x-intercept and y-intercept.

3.3 – Solving Systems of Inequalities by Graphing

6.6 Systems of Linear Inequalities

Model Inverse and Joint Variation

5-2 Direct Variation What is Direct Variation?

Solve a system of linear equation in two variables

Solutions to Systems of Equations

Model Direct Variation

Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.

Model Direct Variation

Solving Systems of 5-6 Linear Inequalities Warm Up Lesson Presentation

Objective Graph and solve systems of linear inequalities in two variables.

Systems of Linear Equations

Chapter 3 Section 1 Systems of Linear Equations in Two Variables All graphs need to be done on graph paper. Four, five squares to the inch is the best.

Objectives Identify solutions of linear equations in two variables.

Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.

Systems of Equations Solve by Graphing.

7.1 solving linear systems by graphing

Solutions of Linear Functions

ALGEBRA TWO Section Writing Equations of Lines

A system of linear inequalities is a set of two or more linear inequalities containing two or more variables. The solutions of a system of linear inequalities.

Warm Up Check to see if the point is a solution for the

4 minutes Warm-Up Solve and graph. 1) 2).

7.1 Solving Systems of Equations

1.2 Solving Linear Systems by Graphing

L3-3 Objective: Students will graph systems of linear inequalities

Chapter 9 Lesson 4 Solve Linear Systems By Substitution

Model Direct Variation

Graph Linear Inequalities in Two Variables

2.3 Represent Relations & Functions p. 33

Warm-up 1. 5x – 4 = 2x (x + 2) + 3x = 2 Solve for the variable 1. 5x – 4 = 2x (x + 2) + 3x = 2.

Warm-up 1. 5x – 4 = 2x (x + 2) + 3x = 2 Solve for the variable 1. 5x – 4 = 2x (x + 2) + 3x = 2.

Systems Warm-Up Solve each linear system. x + 7 = y -4x + 2 = y

Model Inverse and Joint Variation

WARM UP Find the equation of the line that passes through (3, 4), (6,8)? Find the slope of the line that passes through (-4,-8), (12,16)? Find the equation.

3.5 Write and Graph Equations of Lines

Presentation transcript:

§2.5 Model Direct Variation CA Standard 2.0 Students solve systems of linear equations and inequalities (in two or three variables) by substitution, with graphs, or with matrices.

Warm Up Write an equation of the line that passes through the point and satisfy the given condition.

Write an equation of the line that passes through (5,-6) and is (a) parallel to, and (b) perpendicular to, the line

Direct Variation The equation represents direct variation between x and y, and y is said to vary directly with x, where a is the constant of variation.

Examples of Direct Variation The graphs of direct variation must go through (0,0).

EX1: Write and graph a direct variation equation that has (-3, -9) as a solution.

EX2: Write and graph a direct variation equation that has the given ordered pair as a solution. a. (3, -9) b. (-7, 4)

EX3: The variable x and y varies directly. Write an equation that relates x and y. Then find x when y=-2. a. x=6, y=-8

EX3: The variable x and y varies directly. Write an equation that relates x and y. Then find x when y=-2. b. x=12, y=-8

Homework #19 Pg. 109 #1-27 odd, 38-40