Salesian English School Form 2 Mathematics Collective Test 5 (Chapter 1) Name:______________________(______) Date:________________ Mark:__________/30 Parent’s Signature:___________________ Section A (10 marks): Fill in the blanks on the right. No steps are needed to show. Answer 1. If 4( x − 5) − 2 ≡ Ax + B , where A and B are constants, 1. A = ________________ find the values of A and B. B = ________________ 2. If ( x − 7)( x + 3) ≡ x 2 + Ex + F , where E and F are constants, 2. E = ________________ find the values of E and F. F = ________________ 3. Expand (c − 4)2 . 3. ______________________ 4. Expand (4a − 1)(4a + 1) . 4. ______________________ 5. Factorize 21 p − 7 pq . 5. ______________________ 6. Factorize 9a − 6ab + 3abc . 6. ______________________ 7. Factorize 5(a − 3) + 2b(3 − a ) . 7. ______________________ 8. Factorize x 2 + 4 x + 4 . 8. ______________________ Page 1 Section B (20 marks): Unless otherwise specified, steps must be shown clearly. 9. Determine whether 7 a − (a + 4)(a − 3) = − a (a − 6) + 12 is an identity. 10. Expand (a) 5(2 x − 3 y ) 2 (b) −4(2 x + 3 y )(2 x − 3 y ) 11. (a) Factorize r 2 − 18rs + 81s 2 . (6 marks) (7 marks) (3 marks) (b) Hence, or otherwise, factorize r 2 − 18rs + 81s 2 − 2r + 18s . (4 marks) − END OF PAPER − Page 3