Question Ball Toss
Throw the ball at a number then
answer that question.
Question 1
As a fundraiser, the band is selling cookies. The cost to
make each cookie can be written as c(x) = 0.25x + 0.5
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)
B)
C)
D)
P(x) = 0.5x + 1
P(x) = 0.5x2 + x
P(x) = 2.25x + 0.5
P(x) = 1.75x - 0.5
Question 2
Which explicit rule describes the
sequence below? 1, 7, 13, 19, 25…
a. an = 6n +1
b. an = -6n + 1
c. an = 6n -5
d. an = -6n + 5
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) = 50 + 79c. Write a
function p(v) to represent the total charges for your
hotel and car rental.
A) p(v) = 258v
B) p(v) = 50 + 208v
C) p(v) = 129(79v + 50)
D) p(v) = 50(129h + 79c)
Question 4
Find the 10th term in the sequence
a.
b.
c.
d. none of the above
Question 5
Find the sixth term of the geometric
sequence
a)
b)
c)
d)
Question 6
Determine the common ratio and find the
next three terms of the geometric
sequence
1, -2, 4, -8, …
a. r = 2, a5 = 16, a6 = 32 a7 = 64
b. r = -3, a5 = -11, a6 = -14, a7 = -17
c. r = -2, a5 = 16, a6 = -32 a7 = 64
d. r = 3, a5 = -5, a6 = -2, a7 = 1
Question 7
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) = 500 - 45x. Write a function that can be used
to represent his bank balance after n months, including his
monthly deposit and withdrawal.
A)
B)
C)
D)
f(n) = 500 - 30n
f(n) = 500 + 30n
f(n) = 12(500-30n)
f(n) = 500 - (75n-45n)
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
Question 9
Which explicit rule describes the sequence
below? 1, 7, 13, 19, 25…
A. an = 6n +1
B. an = -6n + 1
C. an = 6n -5
D. an = -6n + 5
Question 10
Write an explicit rule for the sequence
4, 12, 36, 108,…
a.
b.
c.
d.
Question 11
A function that can be used to model the cost of
producing x t-shirts is c(x)= 10 + 7x, 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) = 10 - 13x
B) p(x) = 13x - 10
C) p(x) = 27x - 10
D) p(x) =
20𝑥
10+7𝑥
Question 12
Which sequence is not geometric?
Explain why.
a. 3,6, 12, 24,….
b. 7,5, 3,1,….
c. 1,2,4,8,…..
d. 27,9,3,1,….
Question 13
Use the table to find f(-3)
a)
b)
c)
d)
7
1
2
none of these
x
y
-11
12
-7
7
-3
2
1
-3
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)
B)
C)
D)
-1, 0, 1, 2, 3
-1, -2, -3, -4, -5
-1, 0, -1, 0, -1
-1, 1, -1, 1, -1
Question 15
1
2
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 - 13.5
C) f(a) = 18a + 13.5
D) f(a) =
12𝑎−9
2
Question 16
nd
Find the 22
term for the
sequence 9, 14,
19, 24…
Question 17
For the function 𝑓 𝑥 = 3𝑥 2 − 7𝑥 + 2,
find f(2).
a. 2
b. 0
c. 28
d. None of these
Question 18
Write a recursive
rule for the
sequence -12, -13,
-14, -15….
Question 19
Use the graph below to find the xvalue when
a. 3
b. 0
c. 5
d. Not definded
Question 20
Write an explicit
rule for the
sequence 21, 25,
29, 33…
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.
Question 22
Find the next 3
terms in the
sequence 18, 12, 6,
0…
Question 23
𝐷
𝑟
The formula 𝑡 = 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.
Question 24
Write an explicit
rule for the
sequence 6, 18,
54…
Question 25
Find 𝑔 𝑥 = 11 when 𝑔 𝑥 = 6𝑥 − 7 .
a. -3
b.
c.
d.
11
6
11
6
3
Question 26
Write a recursive
rule for the
sequence -4, 0, 4,
8….
Question 27
Find 𝑓 𝑥 − 𝑔(𝑥)
when 𝑓 𝑥 = −3𝑥 + 5
and 𝑔 𝑥 = 6𝑥 − 7
Question 28
Find the next 3
terms in the
sequence 13, 16,
19, 22…
Question 29
Find 𝑓 2 when
𝑓 𝑥 = −3𝑥 + 5
Question 30
Write a rule for the
nth term of the
sequence 6, 24, 96,
384, … Then find a7.