Relations
Functions
Linear Functions
Arithmetic Sequences
Vocabulary
100
Martin earns $7.50 per hour proofreading ads at a local newspaper.
From the scenario, identify the variables used, and assign a letter to each one.
h: number of hours worked,
e: total amount of $ earned
100
Is the following relation a function?
{(-5, 6), (3, 9), (-11, 3), (5, -2), (4, 8)}
Hint: A function has NO repeat input values.
yes
100
Which of the following is an arithmetic sequence, and state the common difference. 5, 15, 45, 135, …
-5, 12, 29, 46, …
48, 24, 12, 6, …
B. d = 17
100
Find the next 3 terms of the sequence:
-9, -4, 1, 6, ____, ____, ____
11, 16, 21
100
What is the special math word for a sequence that goes up or down (using addition or subtraction) by the same number from term to term?
arithmetic sequence
200
What is the domain of {(1, 12), (9, -3), (-3, 5), (8, 14)}?
{-3, 1, 8, 9}
200
Is the following relation a function?
red {(9, 1), (3, -7), (4, -24), (3, -2), (14, 15)}
Hint: A function has NO repeat input values.
no
200
If f(n) = 3n + 7, find f(-2) - 5.
-4
200
Write an equation for the nth term for the sequence:
12, 5, -2, ...
Hint: an=a1+(n-1)d
a1 = the first term in the sequence
d = the common difference between each term
19 - 7n
or
12+(n-1)-7
200
The point where a line crosses the x-axis is called the _____________ .
x-intercept
300
What is the range for {(10, -4), (12, 4), (-9, 23), (5, 3)}?
{-4, 3, 4, 23}
300
Is the following relation a function?
{(11, 23), (19, 4), (-5, 9), (11, 23)}
Hint: A function has NO repeat input values.
yes
300
Martin earns $7.50 per hour proofreading ads at a local newspaper.

If h represents the number of hours worked,
and e represents the total amount of money earned,
write an algebraic equation to find the total earnings.
7.50h = e
300
Find the 42 term of the sequence:
-19, -9, 1, 1, ...
Hint: an=a1+(n-1)d
n = the term we are looking for
a1 = the first term in the sequence
d = the common difference between each term
391
300
What is the special math word for a sequence that goes up or down (using multiplication or division) by the same number from term to term?
geometric sequence
400
Express the following relation as a mapping. {(9, 13), (-3, 2), (4, -6), (7,8), (-8, 2)}
x -8 -3 4 7 9
y 2 2 -6 8 13
400
If f(x) = 4x - 11, find f (-9).
-47
400
Use the nth term equation to find the first 3 terms of the sequence:
an = -2n + 3.
1, -1, -3
400
Find the 16th term of a sequence whose first term is 8 and its common difference is 3.
Hint: an=a1+(n-1)d
n = the term we are looking for
a1 = the first term in the sequence
d = the common difference between each term
53
400
This is another math word for Input and x values of a relation.
Domain
500
What is the range for the following relation? x y
-7 13
5 -9
6 17
9 11
{-9, 11, 13, 17}
500
If g(m) = 0.5m + 8, find g(2).
9
500
Martin earns $7.50 per hour proofreading ads at a local newspaper.

Complete the table to show the total earnings. x y
3 ?
5 ?
10 ?
15 ?
Hours Earnings
3 22.50
5 37.50
10 75.00
15 112.50
500
200 is the __?__th term of 24, 35, 46, 57, ....
Hint: an=a1+(n-1)d
n = the term we are looking for
a1 = the first term in the sequence
d = the common difference between each term
17
500
This is another word for Output and y values of a relation.
Range