Math Practice Problems - Function Tables

Function Tables - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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Complexity=1, Mode=givenRule

Use the given rule to fill in the missing values.

y = x - 4
Input (x)	Output (y)
14
11
13
5

Add 6
Input (x)	Output (y)
8
6
4
1

Complexity=2, Mode=givenRule

Use the given rule to fill in the missing values.

y = x ÷ 5
Input (x)	Output (y)
15
25
20
30

y = 9x
Input (x)	Output (y)
4
7
2
9

Complexity=1, Mode=findRule

Find the rule that applies to the table.

Rule: *y = x*
Input (x)	Output (y)
3	12
6	15
7	16
8	17
9	18

Rule: *y = x*
Input (x)	Output (y)
1	4
2	5
5	8
9	12
10	13

Complexity=2, Mode=findRule

Find the rule that applies to the table.

Rule: *y = x*
Input (x)	Output (y)
5	50
6	60
7	70
8	80
10	100

Rule: *y = x*
Input (x)	Output (y)
2	14
4	28
5	35
8	56
9	63

Answers

Complexity=1, Mode=givenRule

Use the given rule to fill in the missing values.

Correct Answer

Your Answer

y = x - 4
Input (x)	Output (y)
14
11
13
5

Solution

Substitute numbers in for known x values.

x y = x - 4 y

14 y = x - 4 = 14 - 4 = 10 10

11 y = x - 4 = 11 - 4 = 7 7

13 y = x - 4 = 13 - 4 = 9 9

5 y = x - 4 = 5 - 4 = 1 1

Correct Answer

Your Answer

Add 6
Input (x)	Output (y)
8
6
4
1

Solution
Add means "plus" or "+".
So, you get y from x plus 6.

Substitute numbers in for known x values.

x y = x + 6 y

8 y = x + 6 = 8 + 6 = 14 14

6 y = x + 6 = 6 + 6 = 12 12

4 y = x + 6 = 4 + 6 = 10 10

1 y = x + 6 = 1 + 6 = 7 7

Complexity=2, Mode=givenRule

Use the given rule to fill in the missing values.

Correct Answer

Your Answer

y = x ÷ 5
Input (x)	Output (y)
15
25
20
30

Solution

Substitute numbers in for known x values.

x y = x ÷ 5 y

15 y = x ÷ 5 = 15 ÷ 5 = 3 3

25 y = x ÷ 5 = 25 ÷ 5 = 5 5

20 y = x ÷ 5 = 20 ÷ 5 = 4 4

30 y = x ÷ 5 = 30 ÷ 5 = 6 6

Correct Answer

Your Answer

y = 9x
Input (x)	Output (y)
4
7
2
9

Solution

Substitute numbers in for known x values.

x y = x × 9 y

4 y = x × 9 = 4 × 9 = 36 36

7 y = x × 9 = 7 × 9 = 63 63

2 y = x × 9 = 2 × 9 = 18 18

9 y = x × 9 = 9 × 9 = 81 81

Complexity=1, Mode=findRule

Find the rule that applies to the table.

Correct Answer

Your Answer

Rule: *y = x*
Input (x)	Output (y)
3	12
6	15
7	16
8	17
9	18

Solution
To find the rule, look at the given input-output pairs.
3 → 12
6 → 15
7 → 16
8 → 17
9 → 18

Each output is more than the input.
Try a rule with addition or multiplication.

Since the difference between all the given pairs are the same, the rule must be addition.

Correct Answer

Your Answer

Rule: *y = x*
Input (x)	Output (y)
1	4
2	5
5	8
9	12
10	13

Solution
To find the rule, look at the given input-output pairs.
1 → 4
2 → 5
5 → 8
9 → 12
10 → 13

Each output is more than the input.
Try a rule with addition or multiplication.

Since the difference between all the given pairs are the same, the rule must be addition.

Complexity=2, Mode=findRule

Find the rule that applies to the table.

Correct Answer

Your Answer

Rule: *y = x*
Input (x)	Output (y)
5	50
6	60
7	70
8	80
10	100

Solution
To find the rule, look at the given input-output pairs.
5 → 50
6 → 60
7 → 70
8 → 80
10 → 100

Each output is more than the input.
Try a rule with addition or multiplication.

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

Correct Answer

Your Answer

Rule: *y = x*
Input (x)	Output (y)
2	14
4	28
5	35
8	56
9	63

Solution
To find the rule, look at the given input-output pairs.
2 → 14
4 → 28
5 → 35
8 → 56
9 → 63

Each output is more than the input.
Try a rule with addition or multiplication.

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

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