Topical Revision Paper 1 Unit 1 Advanced Algebraic Manipulations Student

Topical Revision Paper 1 Term 1 Unit 1 Advanced Algebraic Manipulation Question 1: Given that 22 44x x y y   and that xy , find the value of 3 xy . [3] Answer: 6 Question 2: Simplify into a single fraction 3 3 2 3 2 2 2 8 16 4 4 (4 2 ) x y xy x x y y x    . [4] Answer : 2224 2 xy xy   Question 3: (a) Factorise completely 3 2 2 32 6 8 24a a b ab b . [3] (b) Make q the subject of the formula 2249pq q p . [3] Answer: (a) 2( 2 )( 2 )( 3 )a b a b a b   (b) 2 3 4 pq p   Question 4: (a) It is given that 2 2 1 1 R v c   . (i) Find the value of R when 5v and 3c . [1] (ii) Express v in terms of R and c . [3] (b) Factorise completely 4 2 2 14 49x x xy y   . [3] Answer: (a) 3 2 (b) 2 1 cvR R  (c)    22 77x x y x x y    Question 5: (a) Given that 4 3 2a b a b   , find the value of 22 2 2 ab ab . [3] (b) Solve for x and y if 333 1 2 5 3 0x y x y      . [4] Answer: (a) 30 43 (b) 16 , 1xy