1. The Betting Game

2. Solve the system
4x – y = 20
-2x-2y = 10

3. Place your bets!

4. Solve the system
4x – y = 20
-2x-2y = 10

5. (3, -8)

6. Erik brings $27 the florist to buy flowers for his girlfriend
Erik brings $27 the florist to buy flowers for his girlfriend. A rose cost $3 each and a tulip cost $2 each. Erik knows that he does not want to buy more than 4 tulips. Let r represent the number of roses and let t represent the number of tulips. In addition to r ≥ 0 and t ≥ 0, write a set of inequalities that Erik can use to guide his choice of flowers.

7. Place your bets!

8. Erik brings $27 the florist to buy flowers for his girlfriend
Erik brings $27 the florist to buy flowers for his girlfriend. A rose cost $3 each and a tulip cost $2 each. Erik knows that he does not want to buy more than 4 tulips. Let r represent the number of roses and let t represent the number of tulips. In addition to r ≥ 0 and t ≥ 0, write a set of inequalities that Erik can use to guide his choice of flowers.

9. 3r + 2t ≤ 27
t ≤ 4

10. Solve using substitution or elimination
3x + 2y – z = 10
2x + y + z = -2
2x + 3y + z = 4

11. Place your bets!

12. Solve using substitution or elimination
3x + 2y – z = 10
2x + y + z = -2
2x + 3y + z = 4

13. (− 1 5 , 3, − 23 5 )

14. Lauren is packing fruit into bags for a donation project
Lauren is packing fruit into bags for a donation project. The apples weigh 5 oz. each and the bananas weigh 6 oz. each. Lauren needs to pack bags so that there are at least 15 pieces of fruit in each bag, but the bags cannot weigh more than 40 ounces. Given that x is the number of apples and y is the number of bananas, identify Lauren’s constraints. Choose all that apply!
A. 5x + 6y ≥ 40
B. x + y ≥ 15
C. 5x + 6y ≤ 40
D. x ≥ 0 and y ≥ 0
E. x + y ≤ 15
F. x ≥ 15 and y ≥ 40

15. Place your bets!

16. Lauren is packing fruit into bags for a donation project
Lauren is packing fruit into bags for a donation project. The apples weigh 5 oz. each and the bananas weigh 6 oz. each. Lauren needs to pack bags so that there are at least 15 pieces of fruit in each bag, but the bags cannot weigh more than 40 ounces. Given that x is the number of apples and y is the number of bananas, identify Lauren’s constraints. Choose all that apply!
A. 5x + 6y ≥ 40
B. x + y ≥ 15
C. 5x + 6y ≤ 40
D. x ≥ 0 and y ≥ 0
E. x + y ≤ 15
F. x ≥ 15 and y ≥ 40

17. B, C, and D

18. Graph the solution to
|3x + 1| + 3 > 10

19. Place your bets!

20. Graph the solution to
|3x + 1| + 3 > 10

22. Johnaon wants to buy something for himself with his pocket money
Johnaon wants to buy something for himself with his pocket money. He has a budget of $105 to spend on $25 T-shirts, $10 CDs, $5 books. He wants to buy 10 items and wants to buy as many books as T-shirts and CDs combined.
How many of each item should he buy? Write a system of equations to help you solve this problem.

23. Place your bets!

24. Johnaon wants to buy something for himself with his pocket money
Johnaon wants to buy something for himself with his pocket money. He has a budget of $105 to spend on $25 T-shirts, $10 CDs, $5 books. He wants to buy 10 items and wants to buy as many books as T-shirts and CDs combined.
How many of each item should he buy? Write a system of equations to help you solve this problem.

25. 2 T−shirts, 3 CDs, 5 books

26. Tiebreaker
Solve. First student to get the correct answer wins. 2x + 3y + 4z = 14 x + 1.5y + 2z = -6 4x + 6y + 8z = 17
Answer: no solution

27. Did you win?