1. Throw the ball at a number then answer that question.
Question Ball Toss
Throw the ball at a number then answer that question.

2. Question 1
As a fundraiser, the band is selling cookies. The cost to make each cookie can be written as c(x) = 0.25x and the functions that represents the amount they sell the cookie for can be written as s(x) = 2x. What function represents the profit, P(x), for each function? A)
P(x) = 0.5x + 1 B)
P(x) = 0.5x2 + x C)
P(x) = 2.25x + 0.5 D)
P(x) = 1.75x - 0.5

3. Question 2
Which explicit rule describes the sequence below? 1, 7, 13, 19, 25…
an = 6n +1
an = -6n + 1
an = 6n -5
an = -6n + 5

4. Question 3
You are planning a vacation. The hotel you are going to stay at charges $129 per night. This can be represented by the function p(h) = 129h. The car rental company charges a $50 insurance fee plus $79 per day. This can be represented by the function p(c) = c. Write a function p(v) to represent the total charges for your hotel and car rental. A)
p(v) = 258v B)
p(v) = v C)
p(v) = 129(79v + 50) D)
p(v) = 50(129h + 79c)

5. Question 4
Find the 10th term in the sequence
none of the above

6. Question 5
Find the sixth term of the geometric sequence
a) b) c) d)

7. Question 6
Determine the common ratio and find the next three terms of the geometric sequence
1, -2, 4, -8, …
r = 2, a5 = 16, a6 = 32 a7 = 64
r = -3, a5 = -11, a6 = -14, a7 = -17
r = -2, a5 = 16, a6 = -32 a7 = 64
r = 3, a5 = -5, a6 = -2, a7 = 1

8. Question 7 A) f(n) = 500 - 30n B) f(n) = 500 + 30n C)
Adam earns $75 per week mowing lawns. This can be represented by the function f(x) = 75x. Each week he deposits this money into his bank account. At the beginning of January his bank account had a balance of $500 in it. Adam also makes a $45 withdrawal each week. The withdrawals from his account can be represented by the function f(x) = x. Write a function that can be used to represent his bank balance after n months, including his monthly deposit and withdrawal. A)
f(n) = n B)
f(n) = n C)
f(n) = 12(500-30n) D)
f(n) = (75n-45n)

9. Question 8
5) For the functions 𝑓 𝑥 =4𝑥−12 𝑎𝑛𝑑 𝑔 𝑥 =10𝑥+7, 𝑓𝑖𝑛𝑑 𝑓 𝑥 −𝑔 𝑥 . a) −6𝑥−5 b) −6𝑥−19 c) 6𝑥+19 d) 6𝑥−5

10. Question 9
Which explicit rule describes the sequence below? 1, 7, 13, 19, 25…
an = 6n +1
an = -6n + 1
an = 6n -5
an = -6n + 5

11. Question 10
Write an explicit rule for the sequence 4, 12, 36, 108,…

12. Question 11 A) p(x) = 10 - 13x B) p(x) = 13x - 10 C) p(x) = 27x - 10
A function that can be used to model the cost of producing x t-shirts is c(x)= x, and the function that can be used to model the amount of money to be made from selling x t-shirts is m(x) = 20x. Write a function p(x) to represent the total profit of selling x number of shirts. A)
p(x) = x B)
p(x) = 13x - 10 C)
p(x) = 27x - 10 D)
p(x) = 20𝑥 10+7𝑥

13. Question 12 Which sequence is not geometric? Explain why.
3,6, 12, 24,….
7,5, 3,1,….
1,2,4,8,…..
27,9,3,1,….

14. Question 13 Use the table to find f(-3) 7 1 2 none of these x y -11 12-7 7 -3 2 1

15. Question 14
A sequence {an} is defined recursively, with a1 = -1, and, for n > 1, an = an-1 + (-1)n. Find the first five terms of the sequence. A)
-1, 0, 1, 2, 3 B)
-1, -2, -3, -4, -5 C)
-1, 0, -1, 0, -1 D)
-1, 1, -1, 1, -1

16. Question 15
Jason's age is of his brother's age. His brother's age can be represented by the function A(b) = 12b - 9. Write a function f(a) that can be used to represent the sum of their ages. A)
f(a) = 12a - 5.5 B)
f(a) = 18a C)
f(a) = 18a D)
f(a) = 12𝑎−9 2

17. Question 16
Find the 22nd term for the sequence 9, 14, 19, 24…

18. Question 17 For the function 𝑓 𝑥 =3 𝑥 2 −7𝑥+2, find f(2). 2 2828
None of these

19. Question 18
Write a recursive rule for the sequence -12, -13, -14, -15….

20. Question 19 Use the graph below to find the x-value when 3 55
Not definded

21. Question 20
Write an explicit rule for the sequence 21, 25, 29, 33…

22. Question 21
The length of a rectangle is defined by the function 𝑓 𝑥 =𝑥+8. The width of a rectangle is found by the function 𝑔 𝑥 =5𝑥−4. Determine the function that would define the area of the rectangle.

23. Question 22
Find the next 3 terms in the sequence 18, 12, 6, 0…

24. Question 23
The formula 𝑡= 𝐷 𝑟 can be used to find the time(t) when given the distance(D) a car has traveled given a rate(r). If the distance a car has traveled is defined by the function 𝐷=2𝑥−7 and the rate is defined by the function 𝑟=𝑥+4, find the time it has taken to travel the given distance and rate.

25. Question 24
Write an explicit rule for the sequence 6, 18, 54…

26. Question 25
Find 𝑔 𝑥 =11 when 𝑔 𝑥 =6𝑥−7 . -3
- 11 6
11 6 3

27. Question 26
Write a recursive rule for the sequence -4, 0, 4, 8….

28. Question 27
Find 𝑓 𝑥 −𝑔(𝑥) when 𝑓 𝑥 =−3𝑥+5 and 𝑔 𝑥 =6𝑥−7

29. Question 28
Find the next 3 terms in the sequence 13, 16, 19, 22…

30. Question 29
Find 𝑓 2 when 𝑓 𝑥 =−3𝑥+5

31. Question 30
Write a rule for the nth term of the sequence 6, 24, 96, 384, … Then find a7.