Math Practice Problems - Function Tables 2

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.

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Complexity=1, Mode=givenRule

Use the given rule to fill in the missing values.

y = x + 9
Input (x)	Output (y)
	14
2
4
3

y = x - 2
Input (x)	Output (y)
4
12
6
	1

Complexity=2, Mode=givenRule

Use the given rule to fill in the missing values.

y = x ÷ 7
Input (x)	Output (y)
49
	2
63
56

y = x ÷ 10
Input (x)	Output (y)
	10
20
80
70

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 = ".

Tiffany has 7 fewer pens than John.

Rule:
# pens John has (x)	# pens Tiffany has (y)
16
12
9
17

Mary has 9 more pens than Pearl.

Rule:
# pens Pearl has (x)	# pens Mary has (y)
9
3
1
10

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 = ".

Each package contains 2 cookies.

Rule:
Number of packages (x)	Number of cookies (y)
8
10
5
7

Each package contains 3 cookies.

Rule:
Number of packages (x)	Number of cookies (y)
2
1
4
9

Complexity=3, Mode=givenRule

Use the given rule to fill in the missing values.

y = 6x + 1
Input (x)	Output (y)
5
1
4
3

y = 3x + 6
Input (x)	Output (y)
6
5
1
9

Answers

Complexity=1, Mode=givenRule

Use the given rule to fill in the missing values.

Correct Answer

Your Answer

y = x + 9
Input (x)	Output (y)
	14
2
4
3

Solution

Substitute numbers in for known x values.

x y = x + 9 y

2 y = x + 9 = 2 + 9 = 11 11

4 y = x + 9 = 4 + 9 = 13 13

3 y = x + 9 = 3 + 9 = 12 12

To find the unknown x value, take the known y value and subtract 9.

Correct Answer

Your Answer

y = x - 2
Input (x)	Output (y)
4
12
6
	1

Solution

Substitute numbers in for known x values.

x y = x - 2 y

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

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

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

To find the unknown x value, take the known y value and add 2.

Complexity=2, Mode=givenRule

Use the given rule to fill in the missing values.

Correct Answer

Your Answer

y = x ÷ 7
Input (x)	Output (y)
49
	2
63
56

Solution

Substitute numbers in for known x values.

x y = x ÷ 7 y

49 y = x ÷ 7 = 49 ÷ 7 = 7 7

63 y = x ÷ 7 = 63 ÷ 7 = 9 9

56 y = x ÷ 7 = 56 ÷ 7 = 8 8

To find the unknown x value, take the known y value and multiply by 7.

Correct Answer

Your Answer

y = x ÷ 10
Input (x)	Output (y)
	10
20
80
70

Solution

Substitute numbers in for known x values.

x y = x ÷ 10 y

20 y = x ÷ 10 = 20 ÷ 10 = 2 2

80 y = x ÷ 10 = 80 ÷ 10 = 8 8

70 y = x ÷ 10 = 70 ÷ 10 = 7 7

To find the unknown x value, take the known y value and multiply by 10.

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 = ".

Correct Answer

Your Answer

Tiffany has 7 fewer pens than John.

Rule:
# pens John has (x)	# pens Tiffany has (y)
16
12
9
17

Solution
"Tiffany has 7 fewer pens than John." means

Number of pens Tiffany has	is	7 fewer than	the number of pens John has
y	=	- 7	x

So you get, y = x - 7

Correct Answer

Your Answer

Mary has 9 more pens than Pearl.

Rule:
# pens Pearl has (x)	# pens Mary has (y)
9
3
1
10

Solution
"Mary has 9 more pens than Pearl." means

Number of pens Mary has	is	9 more than	the number of pens Pearl has
y	=	+ 9	x

So you get, y = x + 9

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 = ".

Correct Answer

Your Answer

Each package contains 2 cookies.

Rule:
Number of packages (x)	Number of cookies (y)
8
10
5
7

Solution
"Each package contains 2 cookies." means that there are 2 cookies per package.
For the number of cookies, multiply by the rate (cookies per package).

number of cookies	=	cookies per package	×	number of packages
y	=	2	×	x

So you get, y = 2x

Correct Answer

Your Answer

Each package contains 3 cookies.

Rule:
Number of packages (x)	Number of cookies (y)
2
1
4
9

Solution
"Each package contains 3 cookies." means that there are 3 cookies per package.
For the number of cookies, multiply by the rate (cookies per package).

number of cookies	=	cookies per package	×	number of packages
y	=	3	×	x

So you get, y = 3x

Complexity=3, Mode=givenRule

Use the given rule to fill in the missing values.

Correct Answer

Your Answer

y = 6x + 1
Input (x)	Output (y)
5
1
4
3

Solution

Substitute numbers in for known x values.

x y = 6x + 1 y

5 y = 6x + 1 = 6(5) + 1 = 31 31

1 y = 6x + 1 = 6(1) + 1 = 7 7

4 y = 6x + 1 = 6(4) + 1 = 25 25

3 y = 6x + 1 = 6(3) + 1 = 19 19

Correct Answer

Your Answer

y = 3x + 6
Input (x)	Output (y)
6
5
1
9

Solution

Substitute numbers in for known x values.

x y = 3x + 6 y

6 y = 3x + 6 = 3(6) + 6 = 24 24

5 y = 3x + 6 = 3(5) + 6 = 21 21

1 y = 3x + 6 = 3(1) + 6 = 9 9

9 y = 3x + 6 = 3(9) + 6 = 33 33

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