Solving Systems of Equations



Solving Systems of Equations

Graphing Relay #1

Solve the system of equations on the graph below.

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Person 1: Solve the first equation for y

Person 2: Graph the 1st equation (using the y = from above)

Person 3: Solve the 2nd equation for y

Person 4: Graph the 2nd equation (using the y = from above)

Person 5: Determine the solution

Solving Systems of Equations

Graphing Relay #2

Solve the system of equations on the graph below.

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Person 1: Solve the first equation for y

Person 2: Graph the 1st equation (using the y = from above)

Person 3: Solve the 2nd equation for y

Person 4: Graph the 2nd equation (using the y = from above)

Person 5: Determine the solution

Solving Systems of Equations

Substitution Relay #1

Solve the system of equations by using substitution

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Person 1: Solve the first equation for x

Person 2: Plug the x = equation above into the 2nd equation.

Person 3: Solve the above equation for y.

Person 4: Plug in the y-value into the equation from Person #1.

Person 5: Solve the above equation for x.

Person 6: Determine the solution:

Solving Systems of Equations

Substitution Relay #2

Solve the system of equations by using substitution

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Person 1: Solve the second equation for x.

Person 2: Plug the x = equation above into the 1st equation.

Person 3: Solve the above equation for y.

Person 4: Plug in the y-value into the equation from Person #1.

Person 5: Solve the above equation for x.

Person 6: Determine the solution:

Solving Systems of Equations

Substitution Relay #3

Solve the system of equations by using substitution

Person 1: Solve the second equation for x.

Person 2: Plug the x = equation above into the 1st equation.

Person 3: Solve the above equation for y.

Person 4: Plug in the y-value into the equation from Person #1.

Person 5: Solve the above equation for x.

Person 6: Determine the solution:

Solving Systems of Equations

Elimination Relay #1

Solve the system of equations by using elimination.

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Person 1: Eliminate the y’s and write the new equation (do not solve).

Person 2: Solve the equation for x.

Person 3: Plug x in for the 1st equation.

Person 4: Solve the equation above for y.

Person 5: Determine the solution:

Solving Systems of Equations

Elimination Relay #2

Solve the system of equations by using elimination.

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Person 1: What will you multiply the 1st equation by if you are going to eliminate the y’s?

Person 2: What will you multiply the 2nd equation by if you are going to eliminate the y’s?

Person 3: Multiply the top equation by the answer in #1.

Person 4: Multiply the bottom equation by the answer in #2.

Person 5: Eliminate the y’s and solve for x.

Person 6: Plug in the x-value into the top equation and solve for y.

Person 7: Determine the solution:

Solving Systems of Inequalities

Relay #1

Solve the system of inequalities on the graph below.

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Person 1: Graph the line for the first inequality.

Person 2: Shade the first inequality.

Person 3: Graph the line for the second inequality.

Person 4: Shade the second inequality.

Person 5: Shade the FINAL answer.

Solving Systems of Inequalities

Relay #2

Solve the system of inequalities on the graph below.

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Person 1: Graph the line for the first inequality.

Person 2: Shade the first inequality.

Person 3: Graph the line for the second inequality.

Person 4: Shade the second inequality.

Person 5: Shade the FINAL answer.

Solving Systems of Inequalities

Relay #3

Solve the system of inequalities on the graph below.

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Person 1: Solve the 1st inequality for y

Person 2: Graph and shade first inequality.

Person 3: Solve the 2nd inequality for y

Person 4: Graph and shade the 2nd inequality.

Person 5: Shade the FINAL answer.

Solving Systems of Inequalities

Relay #4

Solve the system of inequalities on the graph below.

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Person 1: Solve the 1st inequality for y

Person 2: Graph and shade first inequality.

Person 3: Graph the line for the 2nd inequality

Person 4: Shade the 2nd inequality.

Person 5: Shade the FINAL answer.

Linear Programming Relay #1

Determine the minimum and maximum value for the graph.

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Person 1: Graph the 1st inequality.

Person 2: Shade.

Person 3: Graph the 2nd inequality.

Person 4: Shade.

Person 5: Graph the 3rd inequality.

Person 6: Shade.

Person 7: Determine the vertices:

Person 8: Determine the maximum value:

Person 9: Determine the minimum value:

Linear Programming Relay #2

Determine the minimum and maximum value for the graph.

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Person 1: Graph the 1st inequality and shade.

Person 2: Graph the 2nd inequality and shade.

Person 3: Graph the 3rd inequality and shade.

Person 4: Graph the 4th inequality and shade.

Person 5: Determine the vertices:

Person 6: Determine the maximum value:

Person 7: Determine the minimum value:

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