Solving systems of linear equations

Get 7.1B and a piece of graph paper Get out 6.4 so I can check it for group points. Copy the below information onto a sheet of paper. Get 7.1B and a piece of graph paper Get out 6.4 so I can check it for group points. Copy the below information onto a sheet of paper. Entry Task 02/17/2011

Section 7.1 Objective: Solve systems of linear equations by graphing. Model a real life problem using a linear system.

Entry Task 02/12/2013 Write the following vocabulary in your math notebook If the two lines do not cross (parallel) then there is no solution. If the two lines do cross there is one solution. If the two lines are the same the answer is all real numbers {(x,y); } If the two lines do not cross (parallel) then there is no solution. If the two lines do cross there is one solution. If the two lines are the same the answer is all real numbers {(x,y); }

1.) Solve each equation for y 2.) Graph each equation (use a ruler!) 3.) Find the point of intersection This is your solution 4.) Check your answer 1.) Solve each equation for y 2.) Graph each equation (use a ruler!) 3.) Find the point of intersection This is your solution 4.) Check your answer Et 02/05/2013 copy this down: Solving systems of two linear Equations by graphing If the two lines do not cross (parallel) then there is no solution. If the two lines do cross there is one solution. If the two lines are the same the answer is all real numbers {(x,y); } If the two lines do not cross (parallel) then there is no solution. If the two lines do cross there is one solution. If the two lines are the same the answer is all real numbers {(x,y); }

Step 1: make sure all of your variables are lined up Step 2: make sure a variable will cancel out if you add the equations; if not multiply Step 3: add the two equations Step 4: Solve for the remaining variable Step 5: find the other variable Step 6: write your answer in the form (x,y) Step 1: make sure all of your variables are lined up Step 2: make sure a variable will cancel out if you add the equations; if not multiply Step 3: add the two equations Step 4: Solve for the remaining variable Step 5: find the other variable Step 6: write your answer in the form (x,y) Solving a system of linear equations by elimination

Example Solve the linear system. {

Section 7.2 Objective: Use substitution to solve a linear system. Model a real life problem using a linear system.

Solving a linear system by substitution Step 1: solve one of the equations for one of its variables. Step 2: substitute the expression from step one into the other equation and solve for the other variable. Step 3: Substitute the value from step 2 into the revised equation from step one and solve. Step 4: check the solution in each of the original equations. Step 1: solve one of the equations for one of its variables. Step 2: substitute the expression from step one into the other equation and solve for the other variable. Step 3: Substitute the value from step 2 into the revised equation from step one and solve. Step 4: check the solution in each of the original equations.

Example Solve the linear system. { Step 1: solve for y in equation 1. Step 2: Substitute for y in equation 2 and solve for x. Solve the linear system. { Step 1: solve for y in equation 1. Step 2: Substitute for y in equation 2 and solve for x.

Example cont. Step 3: to find the value of y, substitute -1 for x in the revised Equation 1. Step 4: check that (-1,0) is a solution by substituting -1 for x and 0 for y in each of the original equations. The solution is (-1,0) Step 3: to find the value of y, substitute -1 for x in the revised Equation 1. Step 4: check that (-1,0) is a solution by substituting -1 for x and 0 for y in each of the original equations. The solution is (-1,0)

Get out 7.2B so I can check it for group points. Solve the following system of equations using substitution, if you need help look on page 405 in your book. { Get out 7.2B so I can check it for group points. Solve the following system of equations using substitution, if you need help look on page 405 in your book. { Entry Task 02/24/2011

Get out 7.2B so I can check it for group points. Complete 7.2 Standardized Test Practice problems 1-7. You have 14 minutes. When finished get a book and worksheet 7.3B and take notes for section 7.3 on the back of the worksheet. 7.3B is due on Tuesday. Get out 7.2B so I can check it for group points. Complete 7.2 Standardized Test Practice problems 1-7. You have 14 minutes. When finished get a book and worksheet 7.3B and take notes for section 7.3 on the back of the worksheet. 7.3B is due on Tuesday. Entry Task 02/25/2011

Entry Task 02/28/2011 Get out 7.3B and prepare any questions you may have. If you have no questions start working on problems 1-12, and will be extra credit. Get out 7.3B and prepare any questions you may have. If you have no questions start working on problems 1-12, and will be extra credit.

Entry Task 03/01/2011 Get out 7.3B to check for group points Do numbers 1 and 2 on 7.3 stp Get a book and open to page 360, start taking notes. Get out 7.3B to check for group points Do numbers 1 and 2 on 7.3 stp Get a book and open to page 360, start taking notes.

Entry Task 03/02/2011 Get out pg. 363 #1-6 to check for group points Get a book and on your homework paper, do problem number 7 on pg Get out pg. 363 #1-6 to check for group points Get a book and on your homework paper, do problem number 7 on pg. 363.

Section 7.6 Objective: Solve a system of linear inequalities by graphing. Use a system of linear inequalities to model a real-life problem. Open your books to page 432 Objective: Solve a system of linear inequalities by graphing. Use a system of linear inequalities to model a real-life problem. Open your books to page 432

Entry Task 03/03/2011 Get out pg. 435 # 1-8 to check for group points Work on your homework and prepare any questions you may have. If you are finished start on pg. 435 #9-17, Get out pg. 435 # 1-8 to check for group points Work on your homework and prepare any questions you may have. If you are finished start on pg. 435 #9-17,

Entry Task 03/04/2011 Choose one of the following: – Work on missing work – Take the Quiz. If you are not working you will have to take the quiz. Choose one of the following: – Work on missing work – Take the Quiz. If you are not working you will have to take the quiz.