How do you find the input numbers for a function machine?

For example:What is the missing input number?

10

9In ÷ 2 Out

In this lesson you will learn how to find the missing inputs

for a function machine by using a vertical table.

Let’s ReviewLet’s ReviewHow Does a Function Machine Work?

In rule Out5 =10=10 =10

OutIn

5 x2=

Rule ?

Let’s ReviewA Common Mistake

When looking at a function machine, don’t stop at just at one input or

output.

Input three or four numbers to prove the rule works on all the input numbers.

Let’s ReviewCore Lesson Find the input numbers.

Input RULE Output

x 8

x 8

x 8 48x 8 56x 8 64

In rule Outx 8

In Out

? x 8=6464 ÷ 8= ?

8

765

4 3240

+8+8+8

+8

+1+1+1+1

? x 8= 56

56 ÷8= ?

? x 8=48

Let’s ReviewCore LessonWhat are the input numbers?

In Rule Out

Input Rule Output

÷2

÷2 8

÷2 9

÷2 10

+1+1+1

÷2

7+1

10 x 2= ?? ÷ 2= 10

9 x 2= ?

20

18

8 x 2= ? 16

7 x 2= ? 14 +2

+2

+2

In this lesson you learned how to find the missing inputs for a function machine by using a

vertical table.

Let’s ReviewGuided PracticeWhat are the missing input numbers?

In Rule Out

Input RULE Output

x 5

x 5

x 5 40

x 5 45

x 5 50

X 5

+5+5+5+5

35

30

50 ÷ 5= ?

? x 5= 50

? x 5= 45

? x 5= 40

10

9

8

? x 5= 35

7

? x 5= 30

6

Let’s ReviewGuided PracticeSolve for the missing input numbers.

In Rule Out

In RULE Out

+15

+15 18

+15 19

+15 20

+15 21 ? +15= 21

+15 21-15= 6

6 20-15= 5 5

19-15= 4 432 17

Let’s ReviewExtension ActivitiesFind the input numbers for the pattern.

In x7 Out

In RULE Out

x7 ?

x7 14

x7 ?

x7 28

x7 ?

Let’s ReviewExtension ActivitiesFind the rule and the missing input and

output numbers.

In Rule Out

In RULE Out

? 7

2 12

3 17

? ?

5 27

Let’s ReviewQuick Quiz

24

What is the missing input number?

What is the missing input number?

In x8 Out

In ÷10 Out

? A) 3 B) 4C) 5 D) 24

A) 50 B) 1C) 45 D)

100

? 10