Sequences and functions

Representing simple functions

Name: ______________________________Date: ______________Score: ______ / 20

1.
A function machine adds 4. What is the output when the input is 3?
2.
A function machine multiplies by 5. The output is 50. What was the input?
3.
What is the inverse operation of 'multiply by 8'?
1. Adivide by 8
2. Bmultiply by 8
3. Cadd 8
4.
What is the INPUT of a function machine?
1. Athe number that goes in
2. Bthe number that comes out
3. Cthe rule it applies
5.
What is a one-step function machine?
1. Aone that applies a single operation
2. Bone with a single input
3. Cone that only adds
6.
A two-step machine multiplies by 8 then adds 1. What is the output when the input is 4?
7.
A function machine multiplies by 12. What is the output when the input is 11?
8.
A function machine subtracts 2. The output is 23. What was the input?
9.
In a function machine, 9 maps to 54. What is the rule?
1. Aadd 45
2. Bmultiply by 6
3. Cdivide by 6
10.
For a '× 7' function machine, match each input to its output.
Write the letter of the matching item in each box:
?input 1
?input 3
?input 5
A35
B7
C21
11.
A function machine multiplies by 11. What is the output when the input is 10?
12.
A function machine multiplies by 3. The output is 6. What was the input?
13.
What is the inverse operation of 'add 5'?
1. Aadd 5
2. Bdivide by 5
3. Csubtract 5
14.
For a '× 9' function machine, match each input to its output.
Write the letter of the matching item in each box:
?input 1
?input 3
?input 5
A45
B9
C27
15.
A function machine adds 5. What is the output when the input is 20?
16.
A function machine multiplies by 6. The output is 30. What was the input?
17.
What is the inverse operation of 'multiply by 5'?
1. Adivide by 5
2. Bmultiply by 5
3. Cadd 5
18.
In an 'add 6' machine, the input 1 maps to 7.
True False
19.
A two-step machine multiplies by 5 then adds 4. What is the output when the input is 9?
20.
A function machine adds 11. The output is 33. What was the input?

Answer key

Sequences and functions — Representing simple functions

1.7
2.10
3.A. divide by 8
4.A. the number that goes in
5.A. one that applies a single operation
6.33
7.132
8.25
9.B. multiply by 6
10.input 1 → 7; input 3 → 21; input 5 → 35
11.110
12.2
13.C. subtract 5
14.input 1 → 9; input 3 → 27; input 5 → 45
15.25
16.5
17.A. divide by 5
18.True
19.49
20.22