If all linear relationships can be shown as tables, does that mean all tables are linear? Look at the six tables shown below.

1 Extend as many of the tables as you can by adding the next (x,y) pair in the sequence.

2 If the table is linear, write down your prediction of what the y-value will be when x = 0.

3 If the table is not linear, write not linear instead of an answer for y.

A

x

-2

-1

0

1

2

 

y

-2

-3

-4

-5

-6

 

B

x

2

3

4

5

6

 

y

-12

-14

-16

-18

-20

 

when x=0, y will equal

when x=0, y will equal

C

x

1

2

3

4

5

 

y

1

4

9

16

25

 

D

x

5

6

7

8

9

 

y

3

3

3

3

3

 

when x=0, y will equal

when x=0, y will equal

E

x

1

2

3

4

5

 

y

84

94

104

114

124

 

F

x

-10

-9

-8

-7

-6

 

y

−1/10

−1/9

−1/8

−1/7

−1/6

 

when x=0, y will equal

when x=0, y will equal

What do you Notice? What do you Wonder?

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