1 / 14

Systems of Equations and Inequalities

Systems of Equations and Inequalities. Chapter 6. 6.1 Solving Systems by Graphing. Pg. 364 – 369 Obj : Learn how to solve systems of equations by graphing and analyze special systems. Content Standard: A.REI.6. 6.1 Solving Systems by Graphing.

avongara-kuron
Download Presentation

Systems of Equations and Inequalities

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Systems of Equations and Inequalities Chapter 6

  2. 6.1 Solving Systems by Graphing • Pg. 364 – 369 • Obj: Learn how to solve systems of equations by graphing and analyze special systems. • Content Standard: A.REI.6

  3. 6.1 Solving Systems by Graphing • System of Linear Equations – two or more linear equations • Solution of a System of Linear Equations – any ordered pair that makes all of the equations in a system true • Consistent – a system of equations that has at least one solution • Independent – a consistent system that has exactly one solution (intersecting lines) • Dependent – a consistent system that has infinitely many solutions (same line)

  4. 6.1 Solving Systems by Graphing • Inconsistent – a system of equations that has no solution (parallel lines)

  5. 6.2 Solving Systems Using Substitution • Pg. 372 – 377 • Obj: Learn how to solve systems of equations using substitution. • Content Standard: A.REI.6

  6. 6.2 Solving Systems Using Substitution • Substitution Method • Solve one of the equations for one of the variables • Substitute the expression for the variable • Solve for the variable • Use the solution to solve for the remaining variable • Check your solution

  7. 6.3 Solving Systems Using Elimination • Pg. 378 – 384 • Obj: Learn how to solve systems by adding or subtracting to eliminate a variable. • Content Standards: A.REI.5 and A.REI.6

  8. 6.3 Solving Systems Using Elimination • Elimination Method • Add or subtract the equations to eliminate one of the variables • Solve for the remaining variable • Substitute the value into one of the original equations and solve

  9. 6.4 Applications of Linear Systems • Pg. 387 – 392 • Obj: Learn how to choose the best method for solving systems of linear equations. • Content Standards: A.REI.6, N.Q.2, N.Q.3, and A.CED.3

  10. 6.4 Applications of Linear Systems • Choosing a Method for Solving Linear Systems • Graphing – When you want a display of the equations or when you want to estimate a solution. • Substitution – When one equation is already solve for one of the variables, or when it is easy to solve for one of the variables. • Elimination – When the coefficients of one variable are the same or opposites, or when it is not convenient to use graphing or substitution.

  11. 6.5 Linear Inequalities • Pg. 394 – 399 • Obj: Learn how to graph linear inequalities in two variables and use linear inequalities when modeling real-world situations. • Content Standards: A.REI.12 and A.CED.3

  12. 6.5 Linear Inequalities • Linear inequality – can be formed by replacing the equal sign in a linear equation with an inequality symbol • Solution of an Inequality – an ordered pair that makes the inequality true

  13. 6.6 Systems of Linear Inequalities • Pg. 400 – 405 • Obj: Learn how to solve systems of linear inequalities by graphing and to model real-world situations using systems of linear inequalities. • Content Standard: A.REI.12

  14. 6.6 Systems of Linear Inequalities • System of Linear Inequalities – made up of two or more linear inequalities • Solution of a system of linear inequalities – an order pair that makes all the inequalities in the system true • Method • Graph each line • Dashed - > or < • Solid - > or < • Choose a test point for each inequality and shade appropriately • Where the shading overlaps is the solution

More Related