3 7 Graphing Linear Inequalities Graphing Inequalities in

3. 7 - Graphing Linear Inequalities Graphing Inequalities in Two Variables Are the ordered pairs a solution to the problem?

3. 7 - Graphing Linear Inequalities Graphing Inequalities in Two Variables Are the ordered pairs a solution to the problem?

3. 7 - Graphing Linear Inequalities Graphing Inequalities in Two Variables Are the ordered pairs a solution to the problem? .

3. 7 - Graphing Linear. Inequalities Graphing Inequalities in Two Variables Graph the solution.

3. 7 - Graphing Linear Inequalities Graphing Inequalities in Two Variables Graph the solution.

3. 7 - Graphing Linear Inequalities Graphing Inequalities in Two Variables Graph the solution.

3. 7 - Graphing Linear Inequalities Graphing Inequalities in Two Variables Graph the solution.

4. 1 - Systems of Linear Equations (2 variables) Solving Systems of Linear Equations by Graphing A system of linear equations allows the relationship between two or more linear equations to be compared analyzed.

4. 1 - Systems of Linear Equations (2 variables) Solving Systems of Linear Equations by Graphing Determine whether (3, 9) is a solution of the following system. Both statements are true, therefore (3, 9) is a solution to the given system of linear equations.

4. 1 - Systems of Linear Equations (2 variables) Solving Systems of Linear Equations by Graphing Determine whether (3, -2) is a solution of the following system. Both statements are not true, therefore (3, -2) is not a solution to the given system of linear equations.

4. 1 - Systems of Linear Equations (2 variables) Solving Systems of Linear Equations by Graphing

4. 1 - Systems of Linear Equations (2 variables) Solving Systems of Linear Equations by Graphing

4. 1 - Systems of Linear Equations (2 variables) Solving Systems of Linear Equations by Graphing

4. 1 - Systems of Linear Equations (2 variables) Solving Systems of Linear Equations by Graphing Special Systems of Linear Equations Consistent system has at least one solution. Inconsistent system has no solution. Independent equations have different graphs. Dependent equations have identical graphs. Consistent system Independent equations

4. 1 - Systems of Linear Equations (2 variables) Solving Systems of Linear Equations by Graphing Special Systems of Linear Equations Consistent system has at least one solution. Inconsistent system has no solution. Independent equations have different graphs. Dependent equations have identical graphs. Inconsistent system Independent equations

4. 1 - Systems of Linear Equations (2 variables) Solving Systems of Linear Equations by Graphing Special Systems of Linear Equations Consistent system has at least one solution. Inconsistent system has no solution. Independent equations have different graphs. Dependent equations have identical graphs. Consistent system Dependent equations

4. 1 - Systems of Linear Equations (2 variables) Solving Systems of Linear Equations by Substitution Solution

4. 1 - Systems of Linear Equations (2 variables) Solving Systems of Linear Equations by Substitution Solution

4. 1 - Systems of Linear Equations (2 variables) Solving Systems of Linear Equations by Elimination

4. 1 - Systems of Linear Equations (2 variables) Solving Systems of Linear Equations by Elimination Solution

4. 1 - Systems of Linear Equations (2 variables) Solving Systems of Linear Equations by Elimination Solution

4. 1 - Systems of Linear Equations (2 variables) Solving Systems of Linear Equations by Elimination Solution

4. 1 - Systems of Linear Equations (2 variables) Solving Systems of Linear Equations by Elimination Solution (lines are the same)

4. 1 - Systems of Linear Equations (2 variables) Solving Systems of Linear Equations by Elimination No Solution (lines are parallel)

4. 3 - Systems of Linear Equations and Problem Solving The consumption of red meat and poultry are defined by the given equations, where x represents the number of years since 2003 and y represents the pounds per year consumed. In what year will the consumption be the same? Substitution Method

4. 3 - Systems of Linear Equations and Problem Solving The consumption of red meat and poultry are defined by the given equations, where x represents the number of years since 2003 and y represents the pounds per year consumed. In what year will the consumption be the same? Substitution Method

4. 3 - Systems of Linear Equations and Problem Solving A first number is seven greater than a second number. Twice the first number is four more than three times the second number. What are the numbers? 1 st number is x, 2 nd number is y Substitution Method Solution

4. 3 - Systems of Linear Equations and Problem Solving Two trains leave Tulsa, one traveling north and the other south. After four hours, they are 376 miles apart. If one train is traveling ten miles per hour faster than the other, what is the speed of each train? Train Rate Time Distance North x y 4 4 4 x 4 y South Substitution Method

4. 3 - Systems of Linear Equations and Problem Solving One solution contains 20% acid and a second solution contains 50% acid. How many ounces of each solution should be mixed in order to have sixty ounces of a 30% solution? Solution Ounces Decimal Pure Acid 20% x y 60 0. 2 0. 5 0. 3 0. 2 x 0. 5 y (60)(0. 3) 50% 30%

4. 3 - Systems of Linear Equations and Problem Solving One solution contains 20% acid and a second solutions contains 50% acid. How many ounces of each solution should be mixed in order to have sixty ounces of a 30% solution? Elimination Method

4. 5 – Systems of Linear Inequalities Graphing Inequalities in Two Variables Graph the Union.

4. 5 – Systems of Linear Inequalities Graphing Inequalities in Two Variables Graph the solution (Graph the intersection).

4. 5 – Systems of Linear Inequalities Graphing Inequalities in Two Variables Graph the union.

4. 5 – Systems of Linear Inequalities Graphing Inequalities in Two Variables Graph the solution. (Graph the intersection)

4. 5 – Systems of Linear Inequalities Graphing Inequalities in Two Variables Graph the solution. (Graph the intersection)