8.2 Linear (straight line) rules

Choose the correct rule that matches the table of values, where

m = number matchsticks, t = number triangles:

• m = t ÷ 3

• m = 3 × t

• t = m ÷ 3

• t = 3 × m

Choose the correct rule that matches the table of values, where

m = number matchsticks, h = number hexagons:

• m = h ÷ 5 − 1

• m = 5h − 1

• m = 5h + 1

• h = 3m + 1

Choose the correct rule that matches the table of values, using w and c:

• c = w ÷ 2 + 1

• c = 2w − 1

• c = 2w − 5

• w = 3c − 9

Choose the correct rule that matches the table of values, using b and s:

• b = s ÷ 10 + 3

• b = 10s − 3

• b = 10s − 7

• b = 3s − 7

Choose the correct rule that matches the table of values, using n (number of triangles) and m (number of matchsticks):

• m = n ÷ 3

• m = 3n + 3

• m = 3n − 3

• m = 3n

Choose the correct rule that matches the table of values, using t and k:

• t = 2k + 1

• t = 2k − 3

• t = 2k + 3

• t = 2k

How many extra matches are needed for every extra hexagon?

What is the rule that connects m (number of matches) to h (number of hexagons)?

What is the rule that connects m (number of matches) to t (number of triangles)?

What is the rule that connects t and b ?