8.04 Substitution

9 + m when m = 8

14 + v when v = 15

n - 2 when n = 5

n - 8 when n = 44

\dfrac{n}{7} when n = 14

\dfrac{u}{9} when u = 54

- \dfrac{20}{x} when x = 5.

u \times 5 when u = 6

n \times 9 when n = 8

z + 2 when z = - 7.

4 - t when t = 3.

p - 8 when p = 6.

2x + 9 when x = 4

c^{2} when c = 9.

s^{3} when s = 5.

k^{2} when k = - 7.

k^{3} when k = - 9.

y^2 when y = -2

x^2 - 4x when x = 3

\dfrac{x+10}{4} when x = 2

\dfrac{3x}{4} when x = 8

2 \left( x+7 \right) when x = 4

\left( x+2 \right) \left( x - 1 \right) when x = -3

4y^2 + 9 when y = 2

y = 6 x - 9, when x = 12.

y = \dfrac{x}{9} + 6, when x = 63.

y = 4-3x, when x = 7.

y = 14x+\dfrac{18}{5}, when x = \dfrac{1}{10}.

s t when s = 7 and t = - 8.

4 x y when x = - 6 and y = - 5.

m + n when m = 7 and n = 12

4 x + 2 y + 3 when x = 5 and y = 4

m + n when m = 6 and n = - 4.

5 + a + b when a = - 7 and b = 4.

p + q + r when p = 5, \,q = 9 and r = 6.

x^2 - 4y when x = -2 and y = 5

8a + 4b - 9 when a = 2 and b = 5

\dfrac{a}{b} when a = 56 and b = - 8.

\dfrac{m n}{15} when m = 12 and n = 20.

abc when a = 3, b = -2 and c = -1

m - n when m = 2 and n = - 9.

7 - p - q when p = 4 and q = 5.

- 5 - s + t when s = 8 and t = 15.

\dfrac{p}{2 q} when p = - 28 and q = - 7.

4 \left(p + q\right) when p = 7 and q = 8.

7 x + y when x = 6 and y = - 36.

- 4 \left(s - t\right) when s = 6 and t = 15.

m - 2 n when m = - 19 and n = - 7.

q = p + 7

q = 3 p

q = 6 p + 4

n = m - 7

q = 5 p - 3.

q = p^{2} + 5.

11, 22, 33, 44, \ldots

15, 23, 31, 39, \ldots

32, 27, 22, 17, \ldots

9, 16, 25, 36, \ldots

Write an algebraic rule for the number of tiles, T, in terms of the sequence number, S.

Use your rule to complete the table of values.

Write an algebraic rule for the number of tiles, T, in terms of the snowflake's width, W.

Use your rule to complete the table of values.