1. Systems of Linear Equations
and Inequalities
KOOSH BALL
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3. Congratulations! You won 50 free points!
ANSWER
Yippie!
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4. What is the solution to the following system?
50 POINTS
What is the solution to the following system?
ANSWER
No solution
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5. What is the solution to the system?
50 POINTS
What is the solution to the system?
ANSWER
(-4, 7)
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6. What is a possible solution to the system?
50 POINTS
What is a possible solution to the system?
ANSWER
Answers will vary
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7. 50 POINTS
What does the graph of an infinite solution look like for a system of linear inequalities?
ANSWER
They are the same line
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8. Solve the System by Graphing
50 POINTS
Solve the System by Graphing
y = x + 1
y = (-3/2)x + 4
ANSWER
Approximately (1, 2)
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9. What kind of lines give no solution?
50 POINTS
What kind of lines give no solution?
ANSWER
Parallel lines
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10. What are three methods to solving systems?
50 POINTS
What are three methods to solving systems?
Graphing, Substitution and Elimination
ANSWER
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11. Solve using substitution
100 POINTS
Solve using substitution
ANSWER
(-1, 2)
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12. Solve using substitution
100 POINTS
Solve using substitution
ANSWER
(-3, 3)
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13. Solve using substitution
100 POINTS
Solve using substitution
ANSWER
(0, 5)
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14. Solve using Elimination
100 POINTS
Solve using Elimination
ANSWER
(1, -4)
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15. 100 POINTS
Solve by Elimination
ANSWER
(5, 9)
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16. 100 POINTS
Solve by Elimination
ANSWER
(2, -7)
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17. 250 POINTS
Solve by Graphing
ANSWER
No Solution
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18. 250 POINTS
Solve by Graphing
ANSWER
(4, -7)
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19. 250 POINTS
Solve by Graphing
ANSWER
Answers will vary
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20. 250 POINTS
Solve by Graphing
ANSWER
Answers will vary
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21. 250 POINTS
Solve by Graphing
ANSWER
Answers will vary
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22. 250 POINTS
Solve by Graphing
ANSWER
Answers will vary
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23. 250 POINTS
Solve by Graphing
ANSWER
(3, -1)
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24. 500 POINTS
Solve by Graphing
ANSWER
(7, 3)
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25. 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
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26. 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
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27. 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
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28. Solve using Elimination
500 POINTS
Solve using Elimination
ANSWER
(-1, 1)
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29. 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
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30. Solve using Elimination
500 POINTS
Solve using Elimination
ANSWER
(1, -4)
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31. 500 POINTS
Solve by Substitution
ANSWER
(-1, 4)
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32. Use any method to solve the system
500 POINTS
Use any method to solve the system
ANSWER
No Solution
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33. Solve the system using any method
500 POINTS
Solve the system
using any method
ANSWER
Infinite Solutions
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34. 500 POINTS
Solve using any method
ANSWER
(-2, 3)
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35. 500 POINTS
Solve using any method
ANSWER
(-4, 0)
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36. 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
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37. 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
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38. 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
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39. 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
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40. 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
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41. Solve using substitution
1000 POINTS
Solve using substitution
ANSWER
(-6, 7)
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42. Free 1000 points! Congratulations!
ANSWER
Yay!
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43. 1000 POINTS
Graph a system of linear inequalities that has the point (-3, 1) in the solution
ANSWER
Answers will vary
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44. 1000 POINTS
Solve using any method
ANSWER
(-5, 8)
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45. Solve the system by graphing
1000 POINTS
Solve the system by graphing
ANSWER
(-3, 2)
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46. 1000 POINTS
Write out the steps to solving a system of linear inequalities by graphing
Check with Mrs. Simpson
ANSWER
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47. Which of the following is the graph for the system?
1000 POINTS
ANSWER D
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