Function Tables Sample Problems

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These sample problems below for Function Tables were generated by the MathScore.com engine.

Sample Problems For Function Tables

Complexity=1, Mode=givenRule

Use the given rule to fill in the missing values.

Subtract 2
Input (x)	Output (y)
7
12
6
9

Add 3
Input (x)	Output (y)
5
7
6
8

Complexity=2, Mode=givenRule

Use the given rule to fill in the missing values.

Divide by 4
Input (x)	Output (y)
28
32
16
36

y = x ÷ 2
Input (x)	Output (y)
2
20
14
10

Complexity=1, Mode=findRule

Find the rule that applies to the table.

Rule: *y = x*
Input (x)	Output (y)
9	2
10	3
12	5
16	9
17	10

Rule: *y = x*
Input (x)	Output (y)
4	2
5	3
6	4
7	5
10	8

Complexity=2, Mode=findRule

Find the rule that applies to the table.

Rule: *y = x*
Input (x)	Output (y)
15	3
20	4
25	5
40	8
45	9

Rule: *y = x*
Input (x)	Output (y)
1	7
4	28
6	42
7	49
9	63

Answers

Complexity=1, Mode=givenRule

Use the given rule to fill in the missing values.

Correct Answer

Your Answer

Subtract 2
Input (x)	Output (y)
7
12
6
9

Solution
Subtract means "minus" or "-".
So, you get y from x minus 2.

Substitute numbers in for known x values.

x y = x - 2 y

7 y = x - 2 = 7 - 2 = 5 5

12 y = x - 2 = 12 - 2 = 10 10

6 y = x - 2 = 6 - 2 = 4 4

9 y = x - 2 = 9 - 2 = 7 7

Correct Answer

Your Answer

Add 3
Input (x)	Output (y)
5
7
6
8

Solution
Add means "plus" or "+".
So, you get y from x plus 3.

Substitute numbers in for known x values.

x y = x + 3 y

5 y = x + 3 = 5 + 3 = 8 8

7 y = x + 3 = 7 + 3 = 10 10

6 y = x + 3 = 6 + 3 = 9 9

8 y = x + 3 = 8 + 3 = 11 11

Complexity=2, Mode=givenRule

Use the given rule to fill in the missing values.

Correct Answer

Your Answer

Divide by 4
Input (x)	Output (y)
28
32
16
36

Solution
Divide means "÷".
So, you get y from x ÷ 4.

Substitute numbers in for known x values.

x y = x ÷ 4 y

28 y = x ÷ 4 = 28 ÷ 4 = 7 7

32 y = x ÷ 4 = 32 ÷ 4 = 8 8

16 y = x ÷ 4 = 16 ÷ 4 = 4 4

36 y = x ÷ 4 = 36 ÷ 4 = 9 9

Correct Answer

Your Answer

y = x ÷ 2
Input (x)	Output (y)
2
20
14
10

Solution

Substitute numbers in for known x values.

x y = x ÷ 2 y

2 y = x ÷ 2 = 2 ÷ 2 = 1 1

20 y = x ÷ 2 = 20 ÷ 2 = 10 10

14 y = x ÷ 2 = 14 ÷ 2 = 7 7

10 y = x ÷ 2 = 10 ÷ 2 = 5 5

Complexity=1, Mode=findRule

Find the rule that applies to the table.

Correct Answer

Your Answer

Rule: *y = x*
Input (x)	Output (y)
9	2
10	3
12	5
16	9
17	10

Solution
To find the rule, look at the given input-output pairs.
9 → 2
10 → 3
12 → 5
16 → 9
17 → 10

Each output is less than the input.
Try a rule with subtraction or division.

Since the difference between all the given pairs are different, the rule must be subtraction.

Correct Answer

Your Answer

Rule: *y = x*
Input (x)	Output (y)
4	2
5	3
6	4
7	5
10	8

Solution
To find the rule, look at the given input-output pairs.
4 → 2
5 → 3
6 → 4
7 → 5
10 → 8

Each output is less than the input.
Try a rule with subtraction or division.

Since the difference between all the given pairs are different, the rule must be subtraction.

Complexity=2, Mode=findRule

Find the rule that applies to the table.

Correct Answer

Your Answer

Rule: *y = x*
Input (x)	Output (y)
15	3
20	4
25	5
40	8
45	9

Solution
To find the rule, look at the given input-output pairs.
15 → 3
20 → 4
25 → 5
40 → 8
45 → 9

Each output is less than the input.
Try a rule with subtraction or division.

Since the difference between all the given pairs are different, the rule must be subtraction.

Correct Answer

Your Answer

Rule: *y = x*
Input (x)	Output (y)
1	7
4	28
6	42
7	49
9	63

Solution
To find the rule, look at the given input-output pairs.
1 → 7
4 → 28
6 → 42
7 → 49
9 → 63

Each output is less than the input.
Try a rule with subtraction or division.

Since the difference between all the given pairs are different, the rule must be subtraction.

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