Algebra 1 Foundations, pg 382  Students will be able to solve systems of equations by graphing. You can make a table, use the formula r * t = d, or write.

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Presentation transcript:

Algebra 1 Foundations, pg 382  Students will be able to solve systems of equations by graphing. You can make a table, use the formula r * t = d, or write a linear equation to model each skier.

Algebra 1 Foundations, pg 382  Students will be able to solve systems of equations by graphing. Skier 1 Skier 2 Linear Equations r * t = d

Algebra 1 Foundations, pg 382  Students will be able to solve systems of equations by graphing. 1.Skier 2 will pass Skier 1 after they are even. When will Skier 1 be even with Skier 2? 2.How long does it take Skier 1 to finish the course? 3.How long does it take Skier 2 to finish the course? 4.Will Skier 2 pass Skier 1 before they reach the finish line?

Algebra 1 Foundations, pg 382 You can model the problem in the Solve It with two linear equations. Two or more linear equations form a system of linear equations. Any ordered pair that makes all of the equations in a system true is a solution of a system of linear equations. Systems of equations can be solved in more than one way. One method is to graph each equation and find the intersection point, if one exists.  Students will be able to solve systems of equations by graphing.

Algebra 1 Foundations, pg 382  Students will be able to solve systems of equations by graphing. Focus Question How can a graph help you find the solution of a system of equations?  You can graph both equations in the system on the same coordinate plane. If the lines intersect, the intersection point is the solution of the system.  If the lines are the same line, there are an infinite number of solutions.  If the lines are parallel, there are no solutions.

Algebra 1 Foundations, pg 382  Students will be able to solve systems of equations by graphing.

Algebra 1 Foundations, pg 383  Students will be able to solve systems of equations by graphing.

Algebra 1 Foundations, pg 383  Students will be able to solve systems of equations by graphing.

Algebra 1 Foundations, pg 383  Students will be able to solve systems of equations by graphing.

Algebra 1 Foundations, pg 383  Students will be able to solve systems of equations by graphing.

Algebra 1 Foundations, pg 384  Students will be able to solve systems of equations by graphing.

Algebra 1 Foundations, pg 384  Students will be able to solve systems of equations by graphing.

Algebra 1 Foundations, pg 384  Students will be able to solve systems of equations by graphing.

Algebra 1 Foundations, pg 385  Students will be able to solve systems of equations by graphing.

Algebra 1 Foundations, pg 385  Students will be able to solve systems of equations by graphing.

Algebra 1 Foundations, pg 385  Students will be able to solve systems of equations by graphing.