Academy Algebra II 3.1: Solve Linear Systems by Graphing

Slides:

Advertisements

Similar presentations

9/22 thru 9/26 Monday – Distributive Property – Slides 2 AND 3 Tuesday – Factor Linear Expressions – Slides 4 AND 5 Wednesday – Solutions of Equations.

Advertisements

EXAMPLE 3 Standardized Test Practice SOLUTION

Algebra II March 2 nd Students should complete warm-up problems. Given a graph of a system of equations students will be able to determine how many solutions.

Monday, September 15 Algebra II

Drill Solve the linear system by substitution. 1.y = 6x – 11 -2x – 3y = x + y = 6 -5x – y = 21.

SOLVING SYSTEMS OF LINEAR EQUATIONS REVIEW OF 3 METHODS.

7 = 7 SOLUTION EXAMPLE 1 Check the intersection point Use the graph to solve the system. Then check your solution algebraically. x + 2y = 7 Equation 1.

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

Solving Systems of Linear and Quadratic Equations

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

Algebra 7.1 Solving Linear Systems by Graphing. System of Linear Equations (linear systems) Two equations with two variables. An example: 4x + 5y = 3.

Monday, March 23 Today's Objectives

3.4 Solving Systems of Linear Inequalities Objectives: Write and graph a system of linear inequalities in two variables. Write a system of inequalities.

Chapter 7.1 Notes: Solve Linear Systems by Graphing Goal: You will solve a system of linear equations graphically.

Lesson 9.7 Solve Systems with Quadratic Equations

Topics: Topic 1: Solving Linear Equations Topic 2: Solving Quadratic Equations Topic 3: Solving Proportions involving linear and quadratic functions. Topic.

System of Linear Equations with One Solution Solve the given system of linear equations by graphing both equations on the same integer screen. 1. The point.

Systems of Linear Equations Method 1: Using a Graph to Solve Method 2 : Solve by Substitution Method 3 : Solve by Linear Combination / Elimination.

Math /4.2/4.3 – Solving Systems of Linear Equations 1.

Finding a Quadratic Equation from Three Coordinates.

Algebra II 3.1: Solve Linear Systems by Graphing HW: p.156 (4, 8, 10, 12), review old graphing: absolute value, quadratics, etc. Test: Next week Thursday.

EXAMPLE 1 Solve a system graphically Graph the linear system and estimate the solution. Then check the solution algebraically. 4x + y = 8 2x – 3y = 18.

Linear Systems Ch. 3.3 Systems of Inequalities EQ: How can I solve systems of inequalities? I will solve systems of inequalities.

3.2 “Solving Linear Systems with Substitution”

Linear Systems of Equations Section 3.1. What is a “system” of equations?

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

Solving Quadratic-Linear Systems

Solving Systems of Equations

Key Concepts for Sect. 7.1 *A system of equations is two or more equations in two or more variables. *Numerically, a solution to a system of equations.

Do-Now On your notes worksheet!!! Graph: 3x + y = 6 m = b =

Do Now: Solve the system graphically.. Academy Algebra II/Trig 12.1: Systems of Linear Equations HW: p.847 (18, 22, 30, 34, 42, 46) Quiz 12.1, 12.7: Wed.

Algebra I Ch. 6 Warm-ups. Section 6-1 WU, Day 1 Graph the following inequalities. Sketch a coordinate plane on your WU sheet. 1)y > -3x + 6 1)y < x -

Notes Over 3.1 Solving a System Graphically Graph the linear system and estimate the solution. Then check the solution algebraically.

EXAMPLE 1 Solve a system graphically Graph the linear system and estimate the solution. Then check the solution algebraically. 4x + y = 8 2x – 3y = 18.

Algebra Review. Systems of Equations Review: Substitution Linear Combination 2 Methods to Solve:

Solving Systems of Linear and Quadratic Equations.

Warm Up 1.) Graph the set of points (-2, 7), (-1, 4), (0, 1), and (1, -2). Which model is most appropriate for the set? (linear or exponential) 2.) Which.

Chapter 3 Section 2. EXAMPLE 1 Use the substitution method Solve the system using the substitution method. 2x + 5y = –5 x + 3y = 3 Equation 1 Equation.

Algebra 2 Chapter 3 Review Sections: 3-1, 3-2 part 1 & 2, 3-3, and 3-5.

Lesson 9.6 Topic/ Objective: To solve non linear systems of equations. EQ: How do you find the point of intersection between two equations when one is.

Algebra II February 22 nd Students should complete warm-up problems. Quiz on solving systems by graphing. Students will be able to solve a system of linear.

Solving Linear Systems

Chapter 6 Conic Sections

Solving Nonlinear Systems

Warm-Up Graph Solve for y: Graph line #2.

Do Now Solve the following systems by what is stated: Substitution

Solving System of Linear Equations

3-1 Graphing Systems of Equations

Solving Systems of Linear and Quadratic Equations

Points of Intersection

Solving Linear Systems Algebraically

Solving Systems of Linear and Quadratic Equations

Solving Systems Graphically

Systems of Linear and Quadratic Equations

Solving Nonlinear Systems of Equations

SOLVING SYSTEMS USING ELIMINATION

3.5 Solving Nonlinear Systems

SIMULTANEOUS EQUATIONS 1

6-1 Solving Systems by Graphing

Algebra 2 Ch.3 Notes Page 15 P Solving Systems Algebraically.

Solving Systems of Linear and Quadratic Equations

Solving Simultaneous equations by the Graphical Method

Systems of Equations Solve by Graphing.

Chapter 8 Systems of Equations

Warm-up: Solve the system by any method:

Solving Linear Systems by Graphing

Warm up Find f(-3). -8 Find g(0).

Presentation transcript:

Academy Algebra II 3.1: Solve Linear Systems by Graphing HW: p.156 (4, 8, 10, 12), review old graphing: absolute value, quadratics, etc. Quiz 3.1, 3.2: Friday 10th graders: Ch 3 Test: Wednesday, 3/4 9th graders: Ch 3 Test: Monday, 3/9

How to solve linear systems graphically. Graph both lines in the same coordinate plane. Your solution is the ordered pair where the two lines intersect. What would be the solution if the lines do not intersect? What would be the solution if the lines overlap each other?

Find the solution to the system graphically. y = -3x – 2 3x + 2y = 2

Find the solution to the system graphically. x = -4 3.) 2x + y = 4 -4x - 2y = -2 4.) y = -1 3x + y = 5

Find the solution to the system graphically. 2x + y = 4 -4x - 2y = -2

Find the solution to the system graphically. 3x + y = 5

Academy Algebra II 3.2: Solve Linear Systems Algebraically HW: 164 (28-38 even), p.182 (10, 18) Quiz 3.1, 3.2: Friday 10th graders: Ch 3 Test: Wednesday, 3/4 9th graders: Ch 3 Test: Monday, 3/9

What are the two algebraic methods of solving a system of equations? Substitution Elimination (linear combinations)

Solve the system using the substitution method. 2x + 5y = -5 x + 3y = 3

Solve the system using the elimination method. 3x – 7y = 10 6x – 8y = 8

Academy Algebra II 3.2: Solve Linear Systems Algebraically HW: p.164 (28-38 even), p.182 (10, 18) Quiz 3.1, 3.2: Friday 10th graders: Ch 3 Test: Wednesday, 3/4 9th graders: Ch 3 Test: Monday, 3/9

3.4: Solve the system. 4x + 2y + 3z = 1 2x – 3y + 5z = -14

Solve the system using the substitution or elimination method. 1.) 4x + 3y = -2 2.) 3x + 3y = -15 x + 5y = -9 5x – 9y = 3 3.) 3x – 6y = 9 4.) 12x – 3y = -9 -4x + 7y = -16 -4x + y = 3

Solve the system using the substitution or elimination method. 3.) 3x – 6y = 9 4.) 12x – 3y = -9 -4x + 7y = -16 -4x + y = 3

To raise money for uniforms, your school sells t-shirts. Short sleeve t-shirts cost $5 each and are sold for $8 each. Long sleeve t-shirts cost the school $7 each and are sold for $12 each. The school spends a total of $2500 on t-shirts and sells all of them for $4200. How many short sleeve t-shirts are sold?

p.165 # 55 In one week, a music store sold 9 guitars for a total of $3611. Electric guitars sold for $479 each and acoustic guitars sold for $339 each. How many type of each guitar were sold?