Chapter 7 – Systems of Linear Equations and Inequalities

Slides:

Advertisements

Similar presentations

Warm-Up Tyler is catering a banquet for 250 people. Each person will be served either a chicken dish that costs $5 each or a beef dish that costs $7.

Advertisements

5-1 Solving Systems by Graphing

Jeopardy Solve By Graphing Solve by Substitution Solve by Elimination Solve by Multiply First Extensions

USE SYSTEMS OF EQUATIONS TO SOLVE STORY PROBLEMS.

Algebra 7.3 Solving Linear Systems by Linear Combinations.

Get out your Homework from the weekend: Graphing Systems of Linear Inequalities This is page 20 in your notebook.

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

Lesson 6-3 – Solving Systems Using Elimination

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.

Solving Systems of Equations: Elimination Method.

Systems of Equations and Inequalities

Chapter 7 – Solving Systems of Linear Equations 7.3 – Solving Linear Systems by Linear Combinations.

Chapter 7 – Solving Systems of Linear Equations

Solving Systems of Equations

Chapter 4 – Graphing Linear Equations 4.7 – Solving Linear Equations Using Graphs.

100 pt 200 pt 300 pt 400 pt 500 pt 100 pt 200 pt 300 pt 400 pt 500 pt 100 pt 200 pt 300 pt 400 pt 500 pt 100 pt 200 pt 300 pt 400 pt 500 pt Solving Linear.

Chapter 7.2 Notes: Solve Linear Systems by Substitution

Chapter 6 – Solving and Graphing Linear inequalities

GRAPH LINEAR INEQUALITIES IN TWO VARIABLES January 22, 2014 Pages

. Your parents gave you their credit card to go buy a new outfit. You went to the mall and bought a total of 15 items. You only purchased pants and shirts.

7.4 – Applications of Linear Systems

– Problem Solving Objectives:

Unit 2: Systems Midterm Review Brought to you by your favorite Claymation Christmas characters.

Solving Linear Systems by Substitution O Chapter 7 Section 2.

Solving Linear Systems of Equations - Substitution Method Recall that to solve the linear system of equations in two variables... we need to find the value.

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

Solving Linear Systems Using Linear Combinations There are two methods of solving a system of equations algebraically: Elimination (Linear Combinations)

Lesson: 3.6 Model Direct Variation Essential Question: How do you write and graph direct variation equation? Warm-up: Rewrite the equation so.

Chapter 3 –Systems of Linear Equations

Day Problems Solve by graphing. Check your solution.

BELL RINGER  Yesterday you learned 3 different ways to solve systems of linear equations. Do you have a preference on how to solve systems? Explain.

Chapter 6 – Solving and Graphing Linear Inequalities 6.2 – Solving Multi-Step Linear Inequalities.

Linear Applications: Standard Form. Read the problem carefully. Define the variables. Write the equation in standard form. Solve for the x-intercept by.

 3.5 More on Linear Equations Objective: solve more complicated equations that have variables on both sides.

Chapter 7 – Solving Systems of Linear Equations 7.1 – Solving Linear Systems by Graphing.

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

Warm-Up: Solve and Graph  1.  2.. CHAPTER 6 SECTION 5 Graphing Linear Inequalities in Two Variables.

Chapter2 2-5 solving inequalities with variables on both sides.

WARM UP GRAPHING LINES Write the equation in slope- intercept form and then Graph. (Lesson 4.7) 1.3x + y = 1 2.x + y = 0 3.y = -4 3.

Notes 6.5, Date__________ (Substitution). To solve using Substitution: 1.Solve one equation for one variable (choose the variable with a coefficient of.

Solve Linear Systems by Elimination February 3, 2014 Pages

Equations. Determine whether the given number is a solution of the equation. Steps: - number after the semi-colon (;) is the number to plug in for.

7.2 Solving Linear Systems by Substitution. Steps: 1. Solve one of the equations for one of the variables. 2.Substitute that expression into the other.

Warm-Up Solve the following systems of equations using the method of your choice x – 9y = y = -3x x + y = 20 4x + 9y = 23 5x – 4y.

Warm Up Find the solution to linear system using the substitution method. 1) 2x = 82) x = 3y - 11 x + y = 2 2x – 5y = 33 x + y = 2 2x – 5y = 33.

1. Solve the linear system using substitution.

2-4 Solving Equations Goal:

3.2 Substitution & Elimination

Chapter 7 – Systems of Linear Equations and Inequalities

Solving Systems Using Substitution

11.3 Solving Linear Systems by Adding or Subtracting

Homework Review: Sect 6.4 # 8 – 18 even

Notes for Algebra 1 Chapter 6.

Solve a system of linear equation in two variables

Lesson 7-4 part 3 Solving Systems by Elimination

Solving Systems of Equations using Substitution

Solve Systems of Linear Equations Substitution

Warm Up Find the solution to each linear system.

Lesson 7-4 part 3 Solving Systems by Elimination

Solving Linear Systems by Substitution

Objectives: applications of linear systems Standards: 2.2, 2.5, 2.8

Solve Systems of Linear Inequalities

Solving systems using substitution

Systems of Equations Solve by Graphing.

Bellwork 1.) How many different ways can 2 lines appear on a graph?

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

Warm Up Solve for 3x + 2(x – 1), when x = 3

Lesson 0 – 8 Systems of Linear Equations

Warm- Up: Solve by Substitution

Solve by Substitution 2x + y = 7 3x + 3y = - 3.

Presentation transcript:

Chapter 7 – Systems of Linear Equations and Inequalities 7.4 – Applications of Linear Systems

7.4 – Applications of Linear Systems Today we will be: Choosing the best method to solve a system of linear equations Using a system to model real-life problems

7.4 – Applications of Linear Systems Different Methods to Solve Linear Systems Graphing A useful method for approximating a solution, checking the reasonableness of a solution, and providing a visual model. Substitution A useful method when one of the variables has a coefficient of 1 or -1. Linear Combinations A useful method when none of the variables has a coefficient of 1 or -1.

7.4 – Applications of Linear Systems Example 1 Your family goes to a Southern-style restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14 and some order the steak dinner for $17. If the total bill was $99 how many people ordered each dinner?

7.4 – Applications of Linear Systems Example 2 Forty of us are going the see the Philadelphia Phillies for a field trip. Each of you will receive either a hot dog or bag of popcorn. Hot dogs are $2.25 and popcorn is $1.75. If we have $83.50 to spend, how many hotdogs can we buy?

7.4 – Applications of Linear Systems Example 3 Your family decides to visit your grandparents in Ohio. When you are in Pennsylvania, you drive at an average rate of 55 miles per hour. When you are in Ohio, you drive at an average rate of 65 miles per hour. The entire trip of 295 miles takes 5 hours. How long does it take to reach the Pennsylvania-Ohio border? How long does it take to get from the border to your grandparent’s house?

7.4 – Applications of Linear Systems HOMEWORK Page 421 #10 – 12 (pick one), 40 – 48 even, 49, 50

7.4 – Applications of Linear Systems Example 4 An online music club offers individual songs for one price or entire albums for another. Kendrick pays $14.90 to download 5 individual songs and 1 album. Geoffrey pays $21.75 to download 3 individual songs and 2 albums. How much does it cost to download an individual song? How much does it cost to download an album?

7.4 – Applications of Linear Systems Example 5 We are traveling in two vans to the Philadelphia Zoo. Van 1 has 2 adults and 5 students. They are charged $77 for admission. Van 2 has 2 adults and 7 students. They are charged $95 for admission. How much is adult admission? How much is student admission?

7.4 – Applications of Linear Systems HOMEWORK 7.4 Practice Worksheet