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Function Tables 2 - 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.

See some of our other supported math practice problems.

Complexity=1, Mode=givenRule

Use the given rule to fill in the missing values.

1.
y = x - 6
Input (x)Output (y)
11
9
7
14
2.
y = x + 5
Input (x)Output (y)
8
10
7
2

Complexity=2, Mode=givenRule

Use the given rule to fill in the missing values.

1.
y = 3x
Input (x)Output (y)
8
5
2
27
2.
y = 4x
Input (x)Output (y)
9
7
8
16

Complexity=3, Mode=givenRule

Use the given rule to fill in the missing values.

1.
y = 8x + 4
Input (x)Output (y)
2
7
9
4
2.
y = 10x - 7
Input (x)Output (y)
9
3
1
8

Complexity=1, Mode=word

Fill in the missing values and find the rule that applies to the table. Write the rule in the format "y = ... ".

1.
Pearl has 8 more notebooks than Miguel.
Rule:
# notebooks Miguel has (x)# notebooks Pearl has (y)
2
6
8
10
2.
Maria has 6 fewer CDs than Mary.
Rule:
# CDs Mary has (x)# CDs Maria has (y)
14
11
12
13

Complexity=2, Mode=word

Fill in the missing values and find the rule that applies to the table. Write the rule in the format "y = ... ".

1.
Heptagons have 7 sides.
Rule:
Number of heptagons (x)Number of sides (y)
1
4
9
3
2.
Stools have 3 legs.
Rule:
Number of stools (x)Number of legs (y)
8
1
7
5

Complexity=3, Mode=givenRule

Use the given rule to fill in the missing values.

1.
y = 2x + 5
Input (x)Output (y)
3
10
7
5
2.
y = 4x + 4
Input (x)Output (y)
1
2
5
9

Complexity=1, Mode=givenRule

Use the given rule to fill in the missing values.

1
y = x - 6
Input (x)Output (y)
11
9
7
14
Solution

Substitute numbers in for known x values.
x y = x - 6 y
11   11 - 6   5
9   9 - 6   3
14   14 - 6   8

To find the unknown x value, take the known y value and add 6.

2
y = x + 5
Input (x)Output (y)
8
10
7
2
Solution

Substitute numbers in for known x values.
x y = x + 5 y
10   10 + 5   15
7   7 + 5   12
2   2 + 5   7

To find the unknown x value, take the known y value and subtract 5.

Complexity=2, Mode=givenRule

Use the given rule to fill in the missing values.

1
y = 3x
Input (x)Output (y)
8
5
2
27
Solution

Substitute numbers in for known x values.
x y = x × 3 y
8   8 × 3   24
5   5 × 3   15
2   2 × 3   6

To find the unknown x value, take the known y value and divide by 3.

2
y = 4x
Input (x)Output (y)
9
7
8
16
Solution

Substitute numbers in for known x values.
x y = x × 4 y
9   9 × 4   36
7   7 × 4   28
8   8 × 4   32

To find the unknown x value, take the known y value and divide by 4.

Complexity=3, Mode=givenRule

Use the given rule to fill in the missing values.

1
y = 8x + 4
Input (x)Output (y)
2
7
9
4
Solution

Substitute numbers in for known x values.
x y = 8x + 4 y
2   8(2) + 4   20
7   8(7) + 4   60
9   8(9) + 4   76
4   8(4) + 4   36

2
y = 10x - 7
Input (x)Output (y)
9
3
1
8
Solution

Substitute numbers in for known x values.
x y = 10x - 7 y
9   10(9) - 7   83
3   10(3) - 7   23
1   10(1) - 7   3
8   10(8) - 7   73

Complexity=1, Mode=word

Fill in the missing values and find the rule that applies to the table. Write the rule in the format "y = ... ".

1Pearl has 8 more notebooks than Miguel.
Rule:
# notebooks Miguel has (x)# notebooks Pearl has (y)
2
6
8
10
Solution
"Pearl has 8 more notebooks than Miguel." means
 Number of notebooks Pearl has is 8 more than the number of notebooks Miguel has y = + 8 x

So you get, y = x + 8
2Maria has 6 fewer CDs than Mary.
Rule:
# CDs Mary has (x)# CDs Maria has (y)
14
11
12
13
Solution
"Maria has 6 fewer CDs than Mary." means
 Number of CDs Maria has is 6 fewer than the number of CDs Mary has y = - 6 x

So you get, y = x - 6

Complexity=2, Mode=word

Fill in the missing values and find the rule that applies to the table. Write the rule in the format "y = ... ".

1Heptagons have 7 sides.
Rule:
Number of heptagons (x)Number of sides (y)
1
4
9
3
Solution
"Heptagons have 7 sides." means that there are 7 sides per heptagon.
For the number of sides, multiply by the rate (sides per heptagon).
 number of sides = sides per heptagon × number of heptagons y = 7 × x

So you get, y = 7x
2Stools have 3 legs.
Rule:
Number of stools (x)Number of legs (y)
8
1
7
5
Solution
"Stools have 3 legs." means that there are 3 legs per stool.
For the number of legs, multiply by the rate (legs per stool).
 number of legs = legs per stool × number of stools y = 3 × x

So you get, y = 3x

Complexity=3, Mode=givenRule

Use the given rule to fill in the missing values.

1
y = 2x + 5
Input (x)Output (y)
3
10
7
5
Solution

Substitute numbers in for known x values.
x y = 2x + 5 y
3   2(3) + 5   11
10   2(10) + 5   25
7   2(7) + 5   19
5   2(5) + 5   15

2
y = 4x + 4
Input (x)Output (y)
1
2
5
9
Solution

Substitute numbers in for known x values.
x y = 4x + 4 y
1   4(1) + 4   8
2   4(2) + 4   12
5   4(5) + 4   24
9   4(9) + 4   40   