<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
Dismiss
Skip Navigation
Our Terms of Use (click here to view) and Privacy Policy (click here to view) have changed. By continuing to use this site, you are agreeing to our new Terms of Use and Privacy Policy.

4.7: Function Machines

Difficulty Level: At Grade Created by: CK-12

Function Machines – Complete two-step function tables

For these problems, students follow rules presented in words and with symbols to complete two-column function tables. Each of the rules requires two computational steps. Problems 1-12 use addition followed by subtraction. Problems 13 -20 mix the sequence of addition then subtraction and subtraction then addition.

Solutions

1.

In Out
5 8
3 6
0 3
6 9
4 7

2.

In Out
4 5
8 9
5 6
2 3
9 10

3.

In Out
1 3
5 7
2 4
7 9
8 10

4.

In Out
4 8
6 10
3 7
1 3
5 9

5.

In Out
6 14
4 12
1 9
2 10
8 16

6.

In Out
5 10
7 12
2 7
8 13
6 11

7.

In Out
2 3
8 9
5 6
4 5
8

8.

In Out
2 9
0 7
3 10
5 12
1 8

9.

In Out
4 13
7 16
2 11
9 18
5 14

10.

In Out
8 16
3 11
9 17
5 13
7 15

11.

In Out
2 8
5 11
7 13
1 7
8 14

12.

In Out
8 15
2 9
6 13
4 11
1 8

13.

In Out
4 3
8 7
5 4
2 1
7 6

14.

In Out
4 2
2 0
8 6
6 4
3 1

15.

In Out
9 16
12 19
5 12
10 17
8 15

16.

In Out
7 15
3 11
9 17
2 10
5 13

17.

In Out
1 6
7 12
4 9
9 14
2 7

18.

In Out
2 6
5 9
9 13
3 7
0 4

19.

In Out
16 12
10 6
9 5
11 7
14 10

20.

In Out
4 11
7 14
11 18
5 12
9 16

\begin{align*}& \mathbf{Describe:} && \text{There are two rules. Add 2. Then subtract 1.}\\ &&& \text{The table is missing} \ \mathbf{OUT} \ \text{numbers.}\\ & \mathbf{My \ Job:} && \text{Follow the add and subtract rules.}\\ &&& \text{Figure out the} \ \mathbf{OUT} \ \text{numbers. Finish the table.}\\ & \mathbf{Plan:} && \text{Add 2 to an IN number. Then subtract 1 from the sum.}\end{align*}

Solve:

In Out
4 5
7 6
2 3
0 1
6 7

\begin{align*}& \mathbf{Check:} && 7 + 2 = 9, 9 - 1 = 8\\ &&& 2 + 2 = 4, 4 - 1 = 3\\ &&& 0 + 2 = 2, 2 - 1 = 1\\ &&& 6 + 2 = 8, 8 - 2 = 7\end{align*}

Follow the rules.

Complete the tables.

Extra for Experts: Function Machines – Complete two-step function tables

Solutions

1.

In Out
6 12
2 8
8 14
1 7
9 15

2.

In Out
7 13
4 10
5 11
9 15
3 9

3.

In Out
2 5
5 8
0 3
6 9
4 7

4.

In Out
7 10
3 6
9 12
4 7
1 4

5.

In Out
6 5
8 7
3 2
9 8
4 3

6.

In Out
3 0
8 5
6 3
5 2
7 4

7.

In Out
2 3
5 6
0 1
6 7
4 5

8.

In Out
7 10
3 6
9 12
4 7
1 4

9.

In Out
6 10
2 6
10 14
8 12
5 9

10.

In Out
0 3
3 6
7 10
9 12
4 7

11.

In Out
1 5
9 13
6 10
8 12
7 11

12.

In Out
10 7
8 5
12 9
6 3
9 6

Image Attributions

Show Hide Details
Files can only be attached to the latest version of section
Reviews
Help us create better content by rating and reviewing this modality.
Loading reviews...
Please wait...
Please wait...
Image Detail
Sizes: Medium | Original
 
CK.MAT.ENG.SE.1.Algebra-Explorations-K-7.4.7