Systems of Linear Equations and Inequalities KOOSH BALL Game! Play!

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Congratulations! You won 50 free points! ANSWER Yippie! BACK

What is the solution to the following system? 50 POINTS What is the solution to the following system? ANSWER No solution BACK

What is the solution to the system? 50 POINTS What is the solution to the system? ANSWER (-4, 7) BACK

What is a possible solution to the system? 50 POINTS What is a possible solution to the system? ANSWER Answers will vary BACK

50 POINTS What does the graph of an infinite solution look like for a system of linear inequalities? ANSWER They are the same line BACK

Solve the System by Graphing 50 POINTS Solve the System by Graphing y = x + 1 y = (-3/2)x + 4 ANSWER Approximately (1, 2) BACK

What kind of lines give no solution? 50 POINTS What kind of lines give no solution? ANSWER Parallel lines BACK

What are three methods to solving systems? 50 POINTS What are three methods to solving systems? Graphing, Substitution and Elimination ANSWER BACK

Solve using substitution 100 POINTS Solve using substitution ANSWER (-1, 2) BACK

Solve using substitution 100 POINTS Solve using substitution ANSWER (-3, 3) BACK

Solve using substitution 100 POINTS Solve using substitution ANSWER (0, 5) BACK

Solve using Elimination 100 POINTS Solve using Elimination ANSWER (1, -4) BACK

100 POINTS Solve by Elimination ANSWER (5, 9) BACK

100 POINTS Solve by Elimination ANSWER (2, -7) BACK

250 POINTS Solve by Graphing ANSWER No Solution BACK

250 POINTS Solve by Graphing ANSWER (4, -7) BACK

250 POINTS Solve by Graphing ANSWER Answers will vary BACK

250 POINTS Solve by Graphing ANSWER Answers will vary BACK

250 POINTS Solve by Graphing ANSWER Answers will vary BACK

250 POINTS Solve by Graphing ANSWER Answers will vary BACK

250 POINTS Solve by Graphing ANSWER (3, -1) BACK

500 POINTS Solve by Graphing ANSWER (7, 3) BACK

What is the best method used to solve this system? Explain 500 POINTS What is the best method used to solve this system? Explain Substitution, the variable y is already solved ANSWER BACK

What is the best method used to solve the system? Explain 500 POINTS What is the best method used to solve the system? Explain Substitution, because variable x has a coefficient of 1 ANSWER BACK

What is the best method used to solve this system? Explain 500 POINTS What is the best method used to solve this system? Explain Elimination, all the variables have a coefficient greater than one. ANSWER BACK

Solve using Elimination 500 POINTS Solve using Elimination ANSWER (-1, 1) BACK

What is the best method used to solve the system? Explain 500 POINTS What is the best method used to solve the system? Explain Elimination because all the variables have coefficients greater than one ANSWER BACK

Solve using Elimination 500 POINTS Solve using Elimination ANSWER (1, -4) BACK

500 POINTS Solve by Substitution ANSWER (-1, 4) BACK

Use any method to solve the system 500 POINTS Use any method to solve the system ANSWER No Solution BACK

Solve the system using any method 500 POINTS Solve the system using any method ANSWER Infinite Solutions BACK

500 POINTS Solve using any method ANSWER (-2, 3) BACK

500 POINTS Solve using any method ANSWER (-4, 0) BACK

What is the solution to a system of linear inequalities? 500 POINTS What is the solution to a system of linear inequalities? ANSWER Overlapping Region BACK

Write out the steps to solving a linear system using graphing 1000 POINTS Write out the steps to solving a linear system using graphing Make sure all lines are in slope-intercept form Graph both lines Point of intersection is the solution ANSWER BACK

Write out the steps to solving a linear system using substitution 1000 POINTS Write out the steps to solving a linear system using substitution Check with Mrs. Simpson ANSWER BACK

Write out steps to solving a linear system using elimination 1000 POINTS Write out steps to solving a linear system using elimination Check with Mrs. Simpson ANSWER BACK

One Solution – Intersection at a point Infinite – parallel lines 1000 POINTS What are the three possible solutions to a system of linear equations? What do their graphs look like? One Solution – Intersection at a point Infinite – parallel lines No solution – same line ANSWER BACK

Solve using substitution 1000 POINTS Solve using substitution ANSWER (-6, 7) BACK

Free 1000 points! Congratulations! ANSWER Yay! BACK

1000 POINTS Graph a system of linear inequalities that has the point (-3, 1) in the solution ANSWER Answers will vary BACK

1000 POINTS Solve using any method ANSWER (-5, 8) BACK

Solve the system by graphing 1000 POINTS Solve the system by graphing ANSWER (-3, 2) BACK

1000 POINTS Write out the steps to solving a system of linear inequalities by graphing Check with Mrs. Simpson ANSWER BACK

Which of the following is the graph for the system? 1000 POINTS ANSWER D BACK

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