6th Grade Math Textbook, Progress

Copy and complete each function table. Then graph the ordered

pairs on a coordinate plane. Is the function a linear function?

1. y
   x 2 2. y
   2 x 1

Make a function table using integer values from 
2 to 2 for x

and graph each function on a coordinate plane. Then use the

graph to find the value of ywhen x3.

3. y
   x 4 4. y
   3 x 2 5. y
   2 x 6. y
    2 x

2??

1??

0??

1??

x yx
 2 (x, y)

2??

1??

0??

1??

x y 2 x 1 (x, y)

7. Give three solutions for each equation in exercises 3–6.
   Explain how you found your answers.


8. Suppose that the old town clock loses exactly
   5 minutes every day. The function table shows the
   minutes lost after a given number of days. Write
   an equation for the function and find how many
   minutes are lost in 22 days. How many days will
   it take to lose 200 minutes?


9. For each $9 tie shipped by Tie World, the mailing
   charge is $2. Use xfor the number of ties shipped.
   Write a linear function for finding the total cost, y.

10.The number of inchesin a length, y, is a function of the

number of yards, x. Make a function table for this function

using any five values for x. Write an equation for the function table.

Solutions of Linear Functions

(3, 5) and (0, 4) are solutions of y
 3 x4. When you substitute for

xand y,you get a true statement.

(3, 5) y
 3 x 4 (0, 4) y
 3 x 4


  5 
 3 (3) 4  4 
 3 (0) 4

x y  5 
 9  4 x y  4 
 0  4

 5 
 5 True  4 
 4 True

1  5

2  10

3  15

4  20

5  25

x(Days) y(Minutes Lost)

8206-2_510-511 3/23/06 4:47 AM Page 511