# Worksheet: Two-Step Input–Output Patterns

In this worksheet, we will practice finding the missing number and identifying patterns in input–output tables using two-step rules.

Q1:

The rule for the given pattern is multiply by 4, then add 1.

What are the next two numbers? • A211, 843
• B212, 849
• C213, 853
• D212, 848
• E213, 852

Q2:

The rule for this input-output table is multiply by 6. What number is ?

The output numbers will also follow a pattern. Describe this pattern.

• BMultiply by 6

We can use the numbers in the table to calculate in two ways. What are they?

• A and
• B and
• C and

Q3:

The rule for this input-output table is multiply by 4. Jacob has shown that the pattern for the input numbers is subtract 3.

Describe the pattern that the output numbers will follow.

• Amultiply by 4
• Bsubtract 12
• Csubtract 3

Q4:

The rule for this input-output table is divide by 4. What number is ?

The output numbers will also follow a pattern. What is it?

• AMultiply by 2

Using the numbers in the table, find two ways to calculate .

• A and
• B and
• C and

Q5:

Michael followed addition and subtraction rules to make a group of addition sentences. What do you notice about the sums?

• AThey are all the same.
• CThe sums are different and have no pattern.

Fill in the Blank: In an addition expression, if I add a number to one addend and the other addend, the sum stays the same.

• Bsubtract it from

Q6:

Complete the rule for the pattern: Multiply by, then add 2.

• A2
• B4
• C5
• D6
• E3

Q7:

Complete the rule for the pattern: Divide by, then add 3.

• A5
• B4
• C2
• D6
• E3

Q8:

The rule for the given pattern is multiply by 2, then add 7.

What is the next number in

• A74
• B81
• C67
• D261
• E95

Q9:

The rule for this input-output table is divide by 6. Benjamin has shown that the pattern for the input numbers is add 12.

Describe the pattern that the output numbers will follow.

• Amultiply by 6
• Bdivide by 6

Q10:

The rule for this input-output table is divide by 3. Jacob has shown that the pattern for the input numbers is subtract 9.

Describe the pattern that the output numbers will follow.

• Asubtracting 3
• Bmultiplying by 3