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Pattern Problems

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User Generated
Subject
Algebra
School
Academy of Chinese Culture and Health Sciences
Type
Homework
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Investigate and Describe Patterns
Name: Date:
Gilles and Aceena are arranging an academic and sports awards banquet. They want
to know how many guests can be seated in different table arrangements.
The circles show where the guests can sit.
1. How many guests can sit in each arrangement, if the following number of tables
are placed together as shown?
1 table 6 guests
2 tables 10 guests
3 tables 14 guests
2. Fill in and continue the pattern in the table below.
Number of tables
1
2
3
4
5
Number of guests
6
10
14
18
22
3. Look at the pattern and describe how the number of guests who can be seated
changes for each table added.
For each table added, four additional guests can be added to the seating
arrangement.
4. Complete this sentence: To find the number of guests for each arrangement, you
would multiply the number of tables by four and add two.

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5. Use the table of values and produce a graph for the data. Use the number of
tables along the x-axis and the number of guests along the y-axis. Plot each pair of
values.
a) Describe the pattern formed by the points.
The points form a line that is sloped upwards. As the number of tables increases,
the point goes higher in the graph.
b) Should you join the point? Why or why not?

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Investigate and Describe Patterns Name: Date: Gilles and Aceena are arranging an academic and sports awards banquet. They want to know how many guests can be seated in different table arrangements. The circles show where the guests can sit. 1. How many guests can sit in each arrangement, if the following number of tables are placed together as shown? 1 table – 6 guests 2 tables – 10 guests 3 tables – 14 guests 2. Fill in and continue the pattern in the table below. Number of tables 1 2 3 4 5 Number of guests 6 10 14 18 22 3. Look at the pattern and describe how the number of guests who can be seated changes for each table added. For each table added, four additional guests can be added to the seating arrangement. 4. Complete this sentence: To find the number of guests for each arrangement, you would multiply the number of tables by four and add two. 5. Use the table of values and produce a graph for the data. Use the number of tables along the x-axis and the number of guests along the y-axis. Plot each pair of values. a) Describe the pattern formed by the points. The points form a line that is sloped upwards. As the number of tables increases, the point goes higher in the graph. b) Should you join the point? Why or why not? Yes, because they share a pattern and display a relationship between the number of tables and the corresponding number of guests that can be seated. 6. Use the graph to determine the number of guests who can be seated using: a) 8 tables – ...
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