Algebraic proportion

Question 1

What does directly proportional mean?

Answer 1

If one value increases, then the other value also increases, by the same factor. (e.g. if one value doubles, the other value must also double).

Question 2

If something is directly proportional:

Answer 2

It must be in the form:

y = kx

e.g. y=10x, y=x/10

Question 3

y ∝ x

Answer 3

y = kx

Question 4

give an example of an equation of proportionality (directly proportional)

Answer 4

y = 5x

Question 5

What does inversely proportional mean?

Answer 5

If one value increases, then the other value decreases, by the same factor. (e.g. if one value doubles, the other value must halve).

Question 6

If y and x are inversely proportional, it must be in the form:

Answer 6

y ∝ 1/x

y = k x 1/x

y = k/x

Question 7

The equation of proportionality is g=6/h.

How will the value of g change if the value of h is multiplied by 5?

Answer 7

g would be divided by 5.

Question 8

give an example of an equation of proportionality (inversely proportional)

Answer 8

x = 15/y

Question 9

What do the interior angles of a polygon with n sides add up to?

Answer 9

180(n-2)