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Difficulty Level: At Grade Created by: CK-12

Follow The Rule - Complete one-step function tables

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 variable. Problems 1-6 use addition or subtraction. Problems 7-12 use multiplication or division.

Solutions

1.

r\begin{align*}r\end{align*} v=r2\begin{align*}v = r - 2\end{align*}
7 5
3 1
9 7
10 8
15 13
36 34
20 18
29 27
54 52

2.

q\begin{align*}q\end{align*} w=q+20\begin{align*}w=q+20\end{align*}
5 25
8 28
6 26
4 24
19 39
53 73
20 40
48 68
69 89

3.

b\begin{align*}b\end{align*} a=b100\begin{align*}a=b-100\end{align*}
538 438
810 710
662 562
626 526
149 49
479 379
905 805
700 600
568 468

4.

m\begin{align*}m\end{align*} p=m200\begin{align*}p=m-200\end{align*}
741 541
800 600
306 106
449 249
530 330
361 161
427 227
936 736
958 758

5.

a\begin{align*}a\end{align*} q=3×a\begin{align*}q = 3 \times a\end{align*}
2 6
5 15
9 27
4 12
3 9
10 30
1 3
8 24
7 21

6.

d\begin{align*}d\end{align*} r=d÷2\begin{align*}r=d \div 2\end{align*}
8 4
12 6
10 5
4 2
18 9
2 1
20 10
16 8
14 7

7.

z\begin{align*}z\end{align*} m=5×z\begin{align*}m=5 \times z\end{align*}
3 15
7 35
8 40
2 10
9 45
4 20
1 5
5 25
6 30

8.

y\begin{align*}y\end{align*} b=10×y\begin{align*}b=10 \times y\end{align*}
5 50
2 20
7 70
3 30
8 80
9 90
1 10
4 40
6 60

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

Complete the table.

\begin{align*}& \mathbf{Describe} && \text{I see a table with two columns}.\\ &&& \text{The letter} \ s \ \text{stands for a number}.\\ &&& \text{The rule tells me to add} \ 6 \ \text{to} \ s \ \text{to get} \ t.\\ & \mathbf{My \ Job} && \text{Figure out the missing numbers to fill in the table}.\\ & \mathbf{Plan} && \text{I'll start by figuring out} \ t. \ \text{That's rows} \ 1., 2., \ \text{and} \ 5. \ \text{in the table}.\\ &&& \text{For rows} \ 3. \ \text{and} \ 4., \text{I will subtract} \ 6 \ \text{from} \ t \ \text{to get} \ s.\end{align*}

Complete the tables.

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Feb 23, 2012
May 14, 2015
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