1. Systems of Equations and Inequalities
JEOPARDY
Systems of Equations and Inequalities

2. Graphing to Solve
Using
Substitution
Using Elimination
Applying Systems
Linear Inequalities
$100
$100
$100
$100
$100
$200
$200
$200
$200
$200
$300
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$500
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3. FINAL JEOPARDY
How many solutions are there to a system of equations that have the same slope and different y-intercepts? Explain.
Y = 4/7x-1

4. Graphing To Solve - $100
Which point is the solution to the system of equations below?
a. (-5, 1)
b. (-1, 5)
c. (5, -1)
d. (-1, 5)
ANSWER

5. Graphing To Solve - $200 Large Graph a. b. c.
The graph below is the solution to which system of equations? a. b. c.
ANSWER

6. Back

7. Graphing To Solve - $300
Which Value of b will make the graphs y = -2x+1 and y = x +b intersect at the point (-2, 5)?
-2 c. 5
7 d. 2
ANSWER

8. Graphing To Solve - $400
A system of equations has a solution at (-2, 4). The equation of one line is y = 2x +8. If the two lines are perpendicular, what is the equation of the second line? Write your answer in slope-intercept form.
ANSWER

9. Graphing To Solve - $500
Your parents have decided to paint the house for the summer, and you are going to rent a cherry-picker. One company will rent it to your for $250 plus $10 per hour, and another company will rent it to you for $100 plus $15 per hour. Write a system of equations to describe the situation. Write your equations in Standard Form with integers.
ANSWER

10. Using Substitution - $100
Solve the system of equations using substitution.
y = -x + 5
y = x + 1
ANSWER

11. Using Substitution - $200
Find the solutions to the system of equations using substitution.
x = -5, y = -14
x = 7, y =20
x = -7, y = -20
x = -5, y = 14
ANSWER

12. Using Substitution - $300
Solve the system of equations using substitution.
2x + 4y = -6
x – 3y = 7
ANSWER

13. Using Substitution - $400
At an ice cream parlor, ice cream cones cost $1.10 and sundaes cost $ One day, the receipts for a total of 172 cones and sundaes were $ Write a system of equations to find the number of cones that were sold. Use substitution to solve.
ANSWER

14. Using Substitution - $500
Use substitution to solve the following system.
ANSWER

15. Using Elimination - $100 Find the solution to the system of equations.
(-9, 28)
(28, 9)
(28, -9)
(9, -28)
ANSWER

16. Using Elimination - $200
What values of x and y would make both equations true?
ANSWER

17. Using Elimination - $300
CHEAP RENTAL charges its customers $20 per day, plus a $50 initial payment to rent cars. LOW RAYTZ charges $30 per day to rent their cars, but they do not require any up-front costs. After how many days of renting will the total cost of renting a car be the same for both companies?
30 days b. 20 days c. 10 days
d. 5 days
ANSWER

18. Using Elimination - $400
What do you have to multiply the first equation by in order to solve the system using elimination?
Equation 1: 2y + 3x = 10
Equation 2: -6x +9y = 20
ANSWER

19. Using Elimination - $500
Two baby panda bears are born. One panda bear (named “Rocco”) weighs 120 pounds and gains 60 pounds per year. Another panda bear (named “Susie”) weighs only 100 pounds when she is born, but starts to gain 10 pounds per month. Write a system of equations that describes the relationship between the weight (W, in pounds) of the panda bears and time (T, in months)
ANSWER

20. Applying Systems - $100
You have $9.85 in coins of which some are nickels and some are quarters. You have 125 coins total. How many of each do you have? Write a system of equations to solve.
ANSWER

21. Applying Systems - $200
Xavier is older than Yolanda. The difference of their ages is 5, and the sum of their ages is 33. How old is Xavier?
ANSWER

22. Applying Systems - $300
Helene wants to create a snack mix with raisins and granola that costs $2.75 per pound. The granola costs #2 per pound, and the raisins cost $3 per pound. How many pounds of granola should she use to make 10 pounds of snack mix?
ANSWER

23. Applying Systems - $400
Your local cable television company offers two plans: basic service with one movie channel for $35 per month or basic service with two movie channels for $45 per month. What is the charge for the basic service and the charge for each movie channel.
ANSWER

24. Applying Systems - $500
Mrs. Paulson bought chicken wire to enclose a rectangular garden. She is restricted to a width of no more than 30 ft. She would like to use at most 180 ft of chicken wire. Write a system of linear inequalities that describe the situation.
ANSWER

25. Linear Inequalities - $100
Is (-5, 10) a solution to the system of inequalities?
y < -5x + 10
y > x + 9
ANSWER

26. Linear Inequalities - $200
What point is a solution to the system of inequalities below?
y < 1/4x -2
y > 3x + 1
(2, -1)
(1, -2)
(-1, -2)
(-2, 1)
ANSWER

27. Linear Inequalities - $300
Graph the following linear inequalities on the same coordinate plane. What figure does the solution to all three inequalities make?
ANSWER

28. Linear Inequalities - $400
Large Graph
Linear Inequalities - $400
Find the system of inequalities that has its solution set graphed below.
y<3, y>-2x-1
y>3, y<-2x-1
y<3, y<x-1
y>3, y<x-1
ANSWER

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30. Linear Inequalities - $500
What system of inequalities describes the graph below?
a. y>x-1, y>3x-1
b. y<2x+3, y<-x-1
c. y<3x+3, y<x-1
d. y>3x-1, y>2x+3
Large Graph
ANSWER

31. Back

32. ****Answers****

33. Graphing To Solve - $100
B. (-1, 5)
DONE

34. Graphing To Solve - $200 a.
DONE

35. Graphing To Solve - $300
B. 7
DONE

36. Graphing To Solve - $400
DONE

37. Graphing To Solve - $500
y = x
y = x
DONE

38. Using Substitution - $100
x = 2, y = 3 (2, 3)
DONE

39. Using Substitution - $200
C. x = -7, y = -20
DONE

40. Using Substitution - $300
x = 1 , y = -2
DONE

41. Using Substitution - $400
cones = 88, sundaes = 84
DONE

42. Using Substitution - $500
R = 7
S = 9
T = 4
(7, 9, 4)
DONE

43. Using Elimination - $100
C. (28, -9)
DONE

44. Using Elimination - $200
x = -3/2 (-1.5)
y = 7/5 (1.4)
DONE

45. Using Elimination - $300
d. 5 days
DONE

46. Using Elimination - $400 2
DONE

47. Using Elimination - $500
Rocco: W = 5T + 120
Susie: W = 10T +100
DONE

48. Applying Systems - $100
18 Quarters
107 Nickels
DONE

49. Applying Systems - $200
Xavier is 19 and Yolanda is 14
DONE

50. Applying Systems - $300 2.5 pounds of granola 7.5 pounds of raisins
DONE

51. Applying Systems - $400
$25 for basic and $10 per movie channel
DONE

52. Applying Systems - $500
w ≤ 30
2l +2w ≤ 180
DONE

53. Linear Inequalities - $100
YES
DONE

54. Linear Inequalities - $200
b. (1, -2)
DONE

55. Linear Inequalities - $300
Triangle
DONE

56. Linear Inequalities - $400
B. y>3, y<-2x-1
DONE

57. Linear Inequalities - $500
C. y<3x+3, y<x-1
DONE

58. DAILY
DOUBLE
CONTINUE

59. DAILY
DOUBLE
CONTINUE