1. Jeopardy-Systems Verify Solutions Writing Equations Systems of
Ax+By=C to y = mx+b
Intercepts
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Final Jeopardy

2. $100 Question from Systems of Equations
What is the solution to this system of equations?
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3. $100 Answer from Systems of Equations
(1,6)
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4. $200 Question from Systems of Equations
A system of equations has been graphed at the right. What is the solution to this system of equations?
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5. $200 Answer from Systems of Equations
(4,3)
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6. $300 Question from Systems of Equations
What is the solution of the system of equations: x + y = 5
x - y = 3
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7. $300 Answer from Systems of Equations
(4, 1)
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8. $300 Question from Systems of Equations
What is the solution of the system of equations: x – 5y = 11
-2x + 3y = - 9
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9. $300 Answer from Systems of Equations
(3, - 1)
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10. $400 Question from Systems of Equations
You want to use the elimination method to solve for the solution to this system of equations.
Describe how you can eliminate the y term.
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11. $400 Answer from Systems of Equations
Multiply the first equation by -8 and the second equation by 7 and then add the equations. Or
Multiply the first equation by 8 and the second equation by -7 and then add the equations
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12. $500 Question from Systems of Equations
Given the system of equations, what do you know about the solution?
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13. $500 Answer from Systems of Equations
There is no solution—
The lines are parallel—
They lines will not intersect
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14. $100 Question from Ax+By=C to y = mx+b
What is the y-intercept of the graph of
4 x + 2 y = 12 ?
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15. $100 Answer from Ax+By=C to y = mx+b
y-intercept is 6 or
(0, 6)
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16. $200 Question from Ax+By=C to y = mx+b
What is the slope of the graph of
4 x + 2 y = 12 ?
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17. $200 Answer from Ax+By=C to y = mx+b
Slope is
-2 or -2/1
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18. $300 Question from Ax+By=C to y = mx+b
Rewrite the equation below into slope-intercept form.
3x + 2y = 6
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19. $300 Answer from Ax+By=C to y = mx+b
y = 3 – 3/2x or
y = -3/2x + 3
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20. $400 Question from Ax+By=C to y = mx+b
Rewrite the equation below into slope-intercept form.
-x – 6y = - 12
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21. $400 Answer from Ax+By=C to y = mx+b
y = 2 – 1/6x or
y = -1/6x + 2
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22. $500 Question from Ax+By=C to y = mx+b
What is the equation that represents the graph below?
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23. $500 Answer from Ax+By=C to y = mx+b
y = 2 – 2/3x or
y = -2/3x + 2
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24. $100 Question from Intercepts
What are the x & y intercepts for the graph below?
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25. $100 Answer from Intercepts
X-intercept = -1 or (-1, 0)
Y-intercept = - 2 or (0, -2)
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26. $200 Question from Intercepts
What are the x & y intercepts for the equation:
4x + 2y = 12
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27. $200 Answer from Intercepts
X-intercept is 3 or (3, 0)
Y-intercept is 6 or (0, 6)
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28. $300 Question from Intercepts
What are the x & y intercepts for the equation:
3x – y = 9
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29. $300 Answer from Intercepts
X-intercept is 3 or (3, 0)
Y-intercept is -9 or (0, -9)
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30. $400 Question from Intercepts
A pet store sells angel fish for $6 each and clown fish for $4 each. It sold $36 worth of fish.
How many angel fish would be sold if 0 clown fish were sold?
How many clown fish would be sold if 0 angel fish were sold?
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31. $400 Answer from Intercepts
6 angel fish and 0 clown fish
0 angel fish and 9 clown fish
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32. $500 Question from Intercepts
Which equation represents the graph below?  
A 2x – y = -2
B 2x + y = -2
C x – 2y = -2
D -x + 2y = -2
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33. $500 Answer from Intercepts
B) 2x + y = -2
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34. $100 Question from Verify Solutions
Is (2,1) a point on the line defined by 3x + 6y = 12?
Must show work!
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35. $100 Answer from Verify Solutions
YES!!
3x + 6y = 12
3(2) + 6(1) = 12
6 + 6 = 12
12 = 12
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36. $200 Question from Verify Solutions
Is (1, -7) a solution to the system of equations?
-3x + y = - 2
x + y = - 6
You must show your work!
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37. $200 Answer from Verify SolutionsNo
-3x + y = - 2
-3(1) + -7 ≠ -2
≠ -2
-10 ≠ -2
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38. $300 Question from Verify Solutions
Is (-1, -5) a solution to the system of equations?
-3x + y = - 2
x + y = - 6
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39. $300 Answer from Verify Solutions
YES! The point (-1, -5) worked for BOTH equations
-3x + y = -2 x + y = - 6
-3(-1) + -5 = = - 6
= = - 6
-2 = -2
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40. $400 Question from Verify Solutions
For what value of x is (x, - 3) a solution for 4x – 3y = 21?
A) -11
B) -3
C) 3
D) 11
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41. $400 Answer from Verify Solutions
C) 3
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42. $500 Question from Verify Solutions
a) 2x + y = 4
-x + y = 3
(1, 2) is a solution to which system of equations?
b) -4x + y = - 4
6x + y = 8
c) -x + y = 1
x + y = 3
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43. $500 Answer from Verify Solutions
c) -x + y = 1 -(1) + 2 = 1
x + y = = 3
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44. $100 Question from Writing Equations
Tyheim paid $17.50 to buy 6 youth tickets and 1 adult ticket to a school carnival. Ashley paid $22.50 to buy 3 youth tickets and 3 adult tickets at the carnival.
Write a system of equations to represent the situation. (Let x represent cost of youth ticket and y represent cost of adult ticket)
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45. $100 Answer from Writing Equations
Tyheim’s Equation 6x + y = 17.50
Ashley’s Equation 3x + 3y = 22.50
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46. $200 Question from Writing Equations
Tickets for a school concert cost $2 for students and $5 for adults. A total of 200 tickets were sold for $670.
Write a system of equations to represent the situation.
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47. $200 Answer from Writing Equations
2x + 5y = 670
x + y = 200
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48. $300 Question from Writing Equations
The Arcadia Theater charges $4 for adult tickets and $3 for student tickets. Mr. Steele purchased 9 tickets (some student and some adult) for $31. Which system of equations could be used to find a, the number of adult tickets, and s, the number of student tickets Mr. Steele purchased?
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49. $300 Answer from Writing Equations
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50. $400 Question from Writing Equations
Billy had a total of $47 in $5 and $1 bills in his wallet. He had a total of 15 bills. Write a system of equations that represents the situation if x represents $5 bills and y represents $1 bills?
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51. $400 Answer from Writing Equations
5x + y = 47
x + y = 15
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52. $500 Question from Writing Equations
The only coins Alex has are dimes and quarters.
His coins have a total value of $5.80.
He has a total of 40 coins.
Write a systems of equations that can be used to find the number of dimes, d, and the number of quarters, q, that Alex has?
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53. $500 Answer from Writing Equations
.10d + .25q = 5.80
d + q = 40
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54. Final Jeopardy Jeopardy Complete the following statements:
A system of two linear equations has no solution if …
A system of two linear equations has infinitely many solutions if …
A system of two linear equations has exactly one solution if …
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55. Final Jeopardy Answer
The equations have different y-intercepts and the same slope (parallel lines)
The equations have the same y-intercept and the same slope (same lines)
The equations have different slopes (intersecting lines)
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