ab b. c 3. y 5x. a b 3ab. x xy. p q pq. a b. x y) + 2a. a ab. 6. Simplify the following expressions. (a) (b) (c) (4x
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1 . Simplif the following epessions. 8 c c d. Simplif the following epessions. 6b pq 0q. Simplif the following epessions. ( ) q( m n) 6q ( m n) 7 ( b c) ( b c) 6. Simplif the following epessions. b b b p p p 7. Simplif the following epessions. b b 6b 0pq p 8 p q 8. Simplif the following epessions. b b 9 c d 6c d cd c d 9. Simplif the following epessions. 6b p q p b 8q p p Simplif the following epessions. p 8q n n 9n 0. Simplif the following epessions. 8 b b b b c d c 8d b 6 b 8 b 6b. Simplif the following epessions. 6b 6b 6z z 0 n m m n. Simplif the following epessions. 0 c 8b c b 6 ( ) p 8 p pq p q p q pq Chung Ti Eductionl Pess. All ights eseved. 009 Chung Ti Eductionl Pess. All ights eseved.
2 . Fctoize b b. b b Fom the esult of, simplif. b. Fctoize b b. b b b b Fom the esult of, simplif. b b 7. Simplif the following epessions. h h b k k c c h h 8. Simplif the following epessions. 7 c c u u 8 6 v v 9. Fill in the bckets with suitble epessions.. Fill in the blnks with suitble numbes. = = z z z 7 6 = = p p p 0 ( = ) ( ) d = d e d e d e b ( ) b = c c c ( ) f g = f g f g f g 0. Simplif the following epessions.. Simplif the following epessions z 7z b b 8 7m n n 7m w w w w p 6 p 6 6 p. Simplif the following epessions. 6. Simplif the following epessions. b b b b b 7 ( ) 6 ( 6) ( b) b b b ( b) b Chung Ti Eductionl Pess. All ights eseved. 009 Chung Ti Eductionl Pess. All ights eseved.
3 7. Given tht =, find the vlue of if b = nd c =. b c 8. Given tht P = 0T, find the vlue of P if T = nd V =. V 9. Given tht E = mv, find the vlue of E if m = 0 nd v =.. Simplif the following epessions. ( ) ( ) h (h ) (h ) m (m ) (m ) ( ) 8( ). Simplif the following epessions. z ( z ) 6 b b 0. Given tht N = k ( t ), find the vlue of N if k = 0. nd t = 6.. (i) Convet into n lgebic fction with the denominto ( 8). (ii) Convet into n lgebic fction with the denominto ( 8). 8 Fom the esult of, simplif. 8. Given tht P = Q ( 0.n ), find the vlue of P if Q = 80 nd n =. z = bc d = ( b c) z = n ( A Fn ), find the vlue of S if n =, A = nd F = 6.. Given tht b c = 60, find the vlue of c if = 00 nd b = 60. d = bc d = b c 6. Given tht M = V, find the vlue of n if M = 0 nd V = 8. n 7. Given tht A = ( ), find the vlue of if A = 96 nd = Chung Ti Eductionl Pess. All ights eseved.. Given tht S = z = 6. Given tht =, b = nd c =, find the vlue of d in ech of the following epessions. d = T, find the vlue of if P =, T = nd U = 6. P U. Given tht P =, find the vlue of if P =.. Given tht = nd =, find the vlue of z in ech of the following epessions. z =. Given tht = Chung Ti Eductionl Pess. All ights eseved.
4 8. Given tht s = ut t, find the vlue of if s =., u = 0 nd t =. z 9. Given tht =, find the vlue of z if = 0 nd =.. Given tht ( n ) n ( n ) = n, whee n is positive intege. Find the vlue of Find the vlue of Fom the esults of nd, find the vlue of Given tht M = b c, find the vlue of if M = 0, b = nd c = 6.. Given tht =, find the vlue of if =. 6. The degee Celsius ( C) nd degee Fhenheit ( F) e two units of tempetue commonl used. The convesion between the two units cn be epessed in the following fomul: f =. 8c k whee f F is the degee Fhenheit, c C is the degee Celsius nd k is constnt. Given tht 0 C coesponds to F, find the vlue of k. (i) Given tht the boiling point of wte is 00 C, epess it in degee Fhenheit. (ii) Given tht the boiling point of lcohol is 7. F, epess it in degee Celsius. Suppose peson with the bod tempetue highe thn 7. C is egded s hving feve, is Jde hving feve if he bod tempetue is 00 F? Eplin biefl.. Simplif. It is given tht d = bc( ). Fom the esult of, if d =, = nd b = 6, find the vlue of c.. It is given tht the sufce e of clinde is A = πh π. If π =., = nd h = 0, find the vlue of A. If A = 6, π = nd =., find the vlue of A. 7. A sting of ( w ) cm long is evenl divided into sevel pts, the length cm of ech pt cn be w found b the fomul = whee w is n intege gete thn. w If sting is cm long oiginll, (i) find the vlue of w. (ii) find the length of ech pt. If ech pt of sting is 7 cm long, (i) find the vlue of w. (ii) find the oiginl length of the sting. h 7. Detemine whethe ech of the following sentences is coect. If es, put! in the bo; othewise put ". Mke the subject of the fomul =, we cn obtin the fomul =. Mke the subject of the fomul =, we cn obtin the fomul =. Mke the subject of the fomul =, we cn obtin the fomul =. Mke the subject of the fomul =, we cn obtin the fomul =. 8. Mke ech of the following lettes the subject of the fomul d = bc. b c 009 Chung Ti Eductionl Pess. All ights eseved Chung Ti Eductionl Pess. All ights eseved.
5 9. Mke the lettes in bckets the subjects of the coesponding fomule. z = 60 [z] = [] 0. Mke the lettes in bckets the subjects of the coesponding fomule. = [] = 6 8 [] 8. Mke the lettes in bckets the subjects of the coesponding fomule. d f b T = [] S = ( c)( b e) [e] c e e c 9. Mke the lettes in bckets the subjects of the coesponding fomule. m w = [] = [n] n m. Mke the lettes in bckets the subjects of the coesponding fomule. = b 7 [b] 6 q p = [q]. Mke the lettes in bckets the subjects of the coesponding fomule. n p 9 = [m] = 6 m q. Mke the lettes in bckets the subjects of the coesponding fomule. = b b c [c] [q] s t = [v] u v. Mke the lettes in bckets the subjects of the coesponding fomule. 8 = [] = [z] z. Mke the lettes in bckets the subjects of the coesponding fomule. P = mu mv [m] 9 f e = ef [e] 60. It is given tht t = ( t) nd = t. Epess t in tems of. Fom the esult of, epess in tems of. 6. It is given tht = nd =. (i) Epess in tems of. (ii) Epess in tems of. Fom the esult of, epess in tems of. Epess in tems of. 6. Simplif. It is given tht A =. (i) Fom the esult of, mke the subject of the bove fomul. (ii) If = nd A =, find the vlue of. 6. Mke the lettes in bckets the subjects of the coesponding fomule. p q = b( c de) [d] = ( ) 7. Mke the lettes in bckets the subjects of the coesponding fomule. = [] = b b [q] [] 6. Miss Cheung deposits sum of mone $P in bnk. The mount $A eceived fte T es is given b the following fomul: A = P( 0.0T ) If Miss Cheung deposits $ 000 in bnk, find the mount eceived fte es. Mke T the subject of the fomul. If Miss Cheung deposits $ 000 in the bnk, how long does it tke fo he to eceive n mount of $ 00? Chung Ti Eductionl Pess. All ights eseved. 009 Chung Ti Eductionl Pess. All ights eseved.
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