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**Throw the ball at a number then answer that question.**

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

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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

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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

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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)

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

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

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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

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**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)

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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

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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

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

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**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

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**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,….

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

-7 7 -3 2 1

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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

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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

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

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**Question 17 For the function 𝑓 𝑥 =3 𝑥 2 −7𝑥+2, find f(2). 2 28**

28 None of these

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

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**Question 19 Use the graph below to find the x-value when 3 5**

5 Not definded

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

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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.

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

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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.

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

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

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

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

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

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Question 29 Find 𝑓 2 when 𝑓 𝑥 =−3𝑥+5

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

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Arithmetic and Geometric Sequences. Determine whether each sequence is arithmetic, geometric, or neither. Explain your reasoning. 1. 7, 13, 19, 25, …2.

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