Enter inputs and outputs below:

Determine the input table rule for the following

In	Out
1	2
	3
8	4
10	5
	7
18	9

Determine the rule:

In	Out
1	2
8	4
10	5
18	9

Complete the input table based on the given numbers
Try to find a matching pattern

Evaluate (1, 2)

Since 1 is less than 2, this suggests our input table rule would be either addition or multiplication

Since 2 * 2 = 1, multiplication is a possibility

Since 2 is , division is

Let us now try addition, where the our addition number is 2 + 1 = 1

Evaluate (8, 4)

Since 8 is greater than 4, this suggests our input table rule would be either subtraction or division

First try division
See if the quotient is an integer

Since 2 is an integer, division is a possibility

Try subtraction: 8 - 4 = 4

Evaluate (10, 5)

Since 10 is greater than 5, this suggests our input table rule would be either subtraction or division

First try division
See if the quotient is an integer

Since 2 is an integer, division is a possibility

Try subtraction: 10 - 5 = 5

Evaluate (18, 9)

Since 18 is greater than 9, this suggests our input table rule would be either subtraction or division

First try division
See if the quotient is an integer

Since 2 is an integer, division is a possibility

Try subtraction: 18 - 9 = 9

Evaluate our operation:

Because all of our inputs > outputs:
We can rule out addition and multiplication

Because all of our quotients were not integers, our operator for this input table is subtraction using 4 as our number

Apply our rule to the input table:

With an output value of 3 and our input operation of subtraction

We need to reverse the subtraction, so we have 3 + 4 = 7

7 - 4 = 3

With an output value of 7 and our input operation of subtraction

We need to reverse the subtraction, so we have 7 + 4 = 11

11 - 4 = 7

Display our final input table:

In	Out
1	2
7	3
8	4
10	5
11	7
18	9

(1, 2)
(7, 3)
(8, 4)
(10, 5)
(11, 7)
(18, 9)

What is the Answer?

(1, 2)
(7, 3)
(8, 4)
(10, 5)
(11, 7)
(18, 9)

How does the Input Table Calculator work?

Free Input Table Calculator - Given an input table with input and output values, this will determine the operator and rule used to populate the missing values.
This calculator has 1 input.

What 1 formula is used for the Input Table Calculator?

Build a function ƒ(x) = y where each input satisfies the expected output

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Input Table Calculator?

functionrelation between a set of inputs and permissible outputs
ƒ(x)input tablea table that shows the relationship between sets of numbers that always follow the same rule. outputwhat comes out of a functionvalue

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