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6.6: Follow the Rule

Difficulty Level: At Grade Created by: CK-12
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Follow the Rule - Complete one-step function tables

Teacher Notes

In these problems, students follow rules presented in words and with symbols to complete two-column function tables. Each of the rules requires one computational step. For some rows in the tables, students have to apply inverse operations to figure out the value of the input variable.

Solutions

1.

\begin{align*}c\end{align*} \begin{align*}d\end{align*}
7 35
1. 4 20
2. 2 10
3. 9 45
4. 1 5
5. 3 15
6. 6 30
7. 5 25

2.

\begin{align*}e\end{align*} \begin{align*}f\end{align*}
12 4
1. 6 2
2. 18 3
3. 15 5
4. 9 3
5. 24 8
6. 3 1
7. 27 9

3.

\begin{align*}g\end{align*} \begin{align*}h\end{align*}
24 33
1. 30 49
2. 41 60
3. 20 39
4. 23 42
5. 48 67
6. 42 61
7. 65 84

4.

\begin{align*}j\end{align*} \begin{align*}k\end{align*}
6 54
1. 3 27
2. 1 9
3. 9 81
4. 5 45
5. 7 63
6. 2 18
7. 4 36

5.

\begin{align*}m\end{align*} \begin{align*}n\end{align*}
8 32
1. 4 16
2. 7 28
3. 2 8
4. 5 20
5. 1 4
6. 0 0
7. 3 12

6.

\begin{align*}p\end{align*} \begin{align*}r\end{align*}
40 8
1. 10 2
2. 35 7
3. 15 3
4. 20 4
5. 45 9
6. 30 6
7. 0 0

7.

\begin{align*}q\end{align*} \begin{align*}s\end{align*}
50 20
1. 40 10
2. 70 40
3. 55 25
4. 33 3
5. 38 8
6. 42 12
7. 64 34

8.

\begin{align*}t\end{align*} \begin{align*}u\end{align*}
6 42
1. 3 21
2. 5 35
3. 2 14
4. 9 63
5. 7 49
6. 1 7
7. 8 56

\begin{align*}a\end{align*} stands for a number.

Follow the rule.

Complete the table.

\begin{align*}& \mathbf{Describe} && \text{The table has two columns.}\!\\ &&& \text{The letters} \ a \ \text{and} \ b \ \text{stand for numbers.}\!\\ &&& \text{The rule is: Multiply} \ a \ \text{by} \ 3 \ \text{to get} \ b.\!\\ & \mathbf{Job} && \text{Figure out the numbers for} \ a \ \text{and} \ b \ \text{to complete the table.}\!\\ & \mathbf{Plan} && \text{I'll start by \ figuring out} \ b \ \text{for Rows} \ 3 \ \text{and} \ 5.\!\\ &&& \text{For Rows} \ 2, 4, \ \text{and} \ 6, \ \text{I will divide} \ b \ \text{by} \ 3 \ \text{to get} \ a.\end{align*}

Complete the tables.

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CK.MAT.ENG.SE.1.Algebra-Explorations-K-7.6.6
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