Patterns And Relations Worksheet - Grade 7 Page 23
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46This Input/Output machine relates n and 2n
3.
To create a table of values,
2n
3
select a set of Input numbers.
To get each Output number, multiply the
Input number by 2, then add 3.
When n
1, 2n
3
2(1)
3
Input
Output
Remember the
n
2n
3
2
3
order of
operations.
1
5
5
Multiply before
2
7
When n
2, 2n
3
2(2)
3
adding.
3
9
4
3
4
11
7
5
13
When n
3, 2n
3
2(3)
3
6
3
9,
and so on.
We used consecutive Input numbers.
The Output numbers form a pattern. They increase by 2 each time.
This is because the expression contains 2n,
which means that the Input number is doubled.
When the Input number increases by 1, the Output number increases by 2.
The expression 2n
3 can also be written as 3
2n.
When a relation is represented as a table of values,
we can write the relation using algebra.
Example
Write the relation represented by this table.
Input
Output
1
2
2
5
3
8
4
11
5
14
26
UNIT 1: Patterns and Relations
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