The following diagrams show squares with dots and empty squares that form a pattern. The following table shows the numbers of dots and squares in each diagram: Diagram 3 4 7 Dots 7 9 Squares Sum (# of dots plus # of squares 1.1.1 1.1.2 1.1.3 1.1.4 Diagram 1 1.1.5 1.1.6 1 1 1 2 2WN Question 2 2.1 Expressions 3 4 7 16 5 6 2.1.1 Simplity 5(3e-4d) - Bc. 2.1.2 Factorise pq-q. 8 Draw diagram 4. Complete the column for diagrams 6 and 7. Describe in words how the number of dots and the number of squares increase in each diagram. 2.2 The equation 10m - 3n+2mn-150 is given. 2.2.1 Factorise the expression. 2.2.2 Salve for m if m=n in the equation. 9 Find the algebraic rule, in terms of n, that determines the number of dots for diagram n. Show ALL your work. 10 Show that the sum, the number of dots plus the number of squares, is given by the expression 2n-n+1. How many squares will there be in diagram 100? (4) (6) e 9 (2) (2) [24] (2) (1) (2) [6]