1. Writing Equations from Tables
TeacherTwins©2014

2. Warm Up
Look at the input/output table below. What is happening to the input to give you the output?
Input Output
917
967
Input + 17 = Output

3. Look at the following table. What is happening to x that gives you y?
By looking at the table you can see that when you add 6 to x you get the y value.
X Y
1 7
3 9
5 11
7 13
We can write an equation using 2 variables for this table. The equation for the table is :
y = x + 6

4. Give the equation for the following table:
Example 1:
X Y
When you look at the x and y values, you see that y is half of x.

5. Give the equation for the following table:
Example 2:
X Y
0 2
2 4
5 7
When you look at the x and y values, you see that y is two more than x.
The equation for the table is:
y = x + 2

6. Give the equation for the following table:
Example 3:
X Y
-2 -1
0 3
2 7
When you look at this table you can see that there are 2 operations that will be performed on x to give you the y value. The x is multiplied by 2 and then added to 3.
Y = 2x + 3

7. Give the equation for the following table:
Example 4:
X Y
When you look at this table you can see that there are 2 operations that will be performed on x to give you the y value. The x is multiplied by 3 and then subtracted by 4 or
added to – 4.
The equation for the table is:
y = 3x -4 or
y = 3x + - 4

8. Write the equation for each table.
Practice.
Write the equation for each table.
1). X Y
-1 -7
1 -5
4 -2
7 1
3). X Y
-1 4
1 -4
2 -8
2). X Y
0 1
2 7
4) X Y
0 -2
1 0
2 2
3 4
Y = x - 6
Y = 3x + 1
Y = - 4x
Y = 2x -2

9. Complete the table for the equation or rule.
Example 5:
Complete the table for the equation or rule. X
Y= 2x + 1 Y -1 1 2
Put in each value of x and solve for y.
Then record the value of y in the chart.

10. Example 5 Complete the table for the equation or rule.
Y= 2x + 1 Y -1
Y = 2(-1) + 1
Y = 2(0) + 1 1
Y = 2(1) + 1 3 2
Y = 2(1) + 2 4

11. Complete the tables for the equation or rule. 1).
Practice:
Complete the tables for the equation or rule.
1).
2). X
Y= X + 15 Y -1 1 2 X
Y= -6X Y -2 -1 1 2

12. Complete the tables for the equation or rule. 1).
Practice:
Complete the tables for the equation or rule.
1).
2). X
Y= X + 15 Y -1 Y= 14
Y = 15 1
Y = 16 2
Y = 17 X
Y= -6X Y -2
Y= -6( -2) 12 -1
Y = -6(-1) 6 1
Y = -6(1) -6 2
Y = -6(2)
-12

13. Closure
Create your own table and write an equation for it.