+ y + x2 (ii) 8 x2 + y + 10y + 14 x2 + y (iii) 23ab + 13bc + 12bc + 16ab
8. Simplify the following. (i) 9db + 11dc + 7dc − 24db (ii) 4 m2 (iii) m2
+ 5 n2 − 45 n2
− 23 m3 − 23 n2
11. Orla has 4x pencils, Tom has 5y pencils, Joanne has 6x pencils and Mary has 12y pencils. Write down the total number of pencils that the group has in the simplest form in terms of x and y.
+ 18 n2 + 18 m2
9. Simplify the following. (i) 3x + 3
__ 4 y − 5
Taking it FURTHER
(ii) 5x+ 3 (iii) 11
__ 5 y − 6
__ 3 y + 9 x
__ 5 y − x
__ 2 x + 15y + 7
__ 3 y − 4x
(iv) 12p − 5x− 4p + xb + xb− 6 (v) 12+ 9m + 5
__ 6 + 3
__ 4 m
10. Find an expression for the perimeter of each of the following rectangles. (Hint: Perimeter = length + width + length + width)
(i) 4x 5y (ii) 15.5 c 4.5b (iii) 71
__ 4 d
61
__ 3 d
Width
13. The total perimeter of a rectangle is 12d + 14c. Find a term for the length and a term for the width of this rectangle.
Length
12. The number of trees in one park is 12n , a second park has 14m trees, a third park has 23 trees and a fourth park has 56n trees. Find the total number trees in all four parks, in terms of n and m.