Sequences, Functions & Relations
Study Guide
What do I need to know for the assessment?
Sequences
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Arithmetic and common difference
Geometric and common ratio
Sequence rules as algebraic expressions
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Finding missing terms
Functions & Relations
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Input, output, domain, and range
Vertical line test
Determine the function given a table of
values or set of ordered pairs
 Determine if a list of values for a given
relation is a function
 Complete or create a function table of
values
 Interpret a graph to determine if the
representation is a function
 Interpret graphs for a given function
What are my resources to help me prepare for the assessment?
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Class Notes & Independent Practice
Homework
Complete the practice problems on the pages that follow.
ASK questions if you need help before the assessment.
IXL Practice, 7th grade:
Sequences
Functions
T.1: Identify arithmetic and geometric
X.4: Evaluate a Function
sequences
T.2: Arithmetic Sequences
T.3: Geometric Sequences
T.4: Number Sequences Mixed Review
T.5: Number Sequences Word Problems
T.7: Write Variable Expressions for Arithmetic
Sequences
X.5:
X.6:
X.7:
X.8:
X.9:
Complete a Function Table
Write a Rule for a Function Table
Find Points on a Function Graph
Graph a Line from a Function Table
Graph a Line from a an Equation
X.10: Linear Function Word Problems
SG-M67-Sequences, Functions, & Relations (SOL 7.12 & 7.2) 2014-15
Sequences Practice
1)
If the sequence shown continues, what will be the 8th term?
54, 48, 42, 36,...
2)
3)
4)
Which pattern follows the common ratio of
1
3
?
A) 162, 54, 18, 6, 2
B) 120, 90, 60, 30, 10
C) 108, 36, 18, 9, 3
D) 105, 35, 32, 23, 20
Look at the table below and decide which rule Patrick’s pattern follows.
A) Add 110 to the term to get the value.
B) Multiply 11 by the term to get the value.
C) Double the term to get the value.
D) Square the term to get the value.
What rule describes the sequence shown?
64, 16, 4, 1, . . .
SG-M67-Sequences, Functions, & Relations (SOL 7.12 & 7.2) 2013-2014
5)
Complete the table below.
Sequence
Find the
Common
Difference
or Common
Ratio
Write the
rule as an
Algebraic
Expression
Is the
sequence
Arithmetic or
Geometric
−5, −8, −11, −14, …
120, 60, 30, 15, …
2.1, 2.2, 2.3, 2.4,…
31, 22, 13, 4, …
2, 12, 72, 432,
…
−57, −50, −43, −36, …
4.8, 4.2, 3.6, 3.0…
625, 125, 25, 5, …
1, −5, 25, −125, …
1 1 1
− , , 1 , 2, …
4 2 4
SG-M67-Sequences, Functions, & Relations (SOL 7.12 & 7.2) 2013-2014
Find the next 3 terms
Functions & Relations Practice
1)
Given the table below, what is the rule (function)?
Input
Output
2)
3
6
5
10
7
14
9
18
Given the table below, what is the rule that defines the function?
𝒙
𝒚
3)
0
0
-1
1
0
2
1
3
2
4
3
5
Find the missing values to complete the function table.
𝒙
𝒚
0
9
2
11
4
8
17
20
4)
Identify the domain and range for the following set.
{ (5,0), (6, 2), (7, 4), (8, 6), (9, 8) }
5)
Determine if the following set is a function. Explain.
{ (−5, 3), (4, 3), (3, 2), (2, 0) }
6)
Determine the domain and range for the following table of values.
Input
−5
0
3
6
9
Output
14
−6
−9
22
0
SG-M67-Sequences, Functions, & Relations (SOL 7.12 & 7.2) 2013-2014
7)
A)
8)
Which graph best represents the function 𝑦 = −2𝑥 + 4?
B)
Given the graph below, determine the equation.
SG-M67-Sequences, Functions, & Relations (SOL 7.12 & 7.2) 2013-2014
9)
Given the graph below, determine the equation.
_
10)
11)
Determine the equation for the given table of values.
Input
Output
2
9
3
12
4
15
5
18
Determine the equation for the given table of values.
domain
range
−2
0
−1
−2
0
−4
1
−6
2
−8
SG-M67-Sequences, Functions, & Relations (SOL 7.12 & 7.2) 2013-2014
12)
Lucy is helping her father input his company’s files into a new computer database. Her
father agreed to pay her $5 for the first file and $2 for each files after that.
Which equation, where 𝑝 stands for her pay, and 𝑓 stands for the number of files
completed, could be used to determine Lucy’s pay?
13)
A)
𝑝 = 2𝑓 + 5
B)
𝑝 = 5𝑓 + 2𝑓
C)
𝑝 = 2(𝑓 + 1) + 5
D)
𝑝 = 2(𝑓 − 1) + 5
𝟏
Which ordered pair is NOT a point on the graph of 𝒚 = 𝟑 𝒙?
A)
(−6, 2)
B)
(12, 3)
C)
(−3, −1)
D)
(24, 8)
For 14-18, determine if the following are functions and justify your answer.
14)
𝒙
𝒚
15)
17)
7
9
17
8
27
7
{(4, 5) (6, 5) (7, 5) (8, 5)}
7
6
47
5
57
4
16)
{(−1, 2) (3, 5) (−1, 8) (11, 11)}
18)
SG-M67-Sequences, Functions, & Relations (SOL 7.12 & 7.2) 2013-2014