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Mathematics Higher Level Robert Joinson

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©Sumbooks2002<strong>Higher</strong> <strong>Level</strong>11. Re-arranging FormulaeExercise 1In each of the following questions, re-arrange the equation to make the letter in the bracket thesubject.1) v = u+at(u) 2) v = u+at(a)3) d = 3b–c(b) 4) c = pd + w(w)5) x = 7y–z(z) 6) a = 3b+c(b)4v+u5y+b7) w = --------------(v) 8) x = --------------(b)349) 2x = x + b(b) 10) 6y = 3a – 2y(a)1--a11) p = + 3b(a) 12) w = 2v + --u(v)24a+b2r – q13) c = -----------(d) 14) p = --------------(s)d3s15) x = 2( y+z)(z) 16) a = 33b ( + 4c)(c)121417) x = -- ( y+z)(y) 18) 3a = -- ( 2b+c)(c)19) 3x = -- ( y–z)(z) 20) 5w = -- ( 3v – 2u)(u)1221) 7x – 4y = -- ( 3x + 6y)(x) 22) 5a + 3b = -- ( 3b – 2a)(a)Exercise 2In each of the following questions, re-arrange the equation to make the letter in the bracket thesubject.b 2y1) a = ----(b) 2) x = ----(z)cz 24a 293) c = --------(a) 4) 3v = ----(u)bu 21 235) --x = --x + y(y) 6) --y – 2x = y(y)27--x317)2= -- ( x + y)2(x) 8)9= -- ( b – 3c)4(b)1 1 12 2 39) -- = -- + --(x) 10) ----- = -- + --x a b3x y z(x)1 1 12 3 b11) ------ = ----- + -----(x) 12) ------ = ----- + --x 2a 3bx 2y 2(x)2 y 13 6 113) ----- = -- – --(z) 14) -- = -- – --3x 2 zx y z(z)15) x =1 12----(a) 16)a 2 + --4y = --------b3a 2 + 3 b(a)3 1 13 6 117) -- = -- + --(b) 18) -- – -- = --b b cx y x(x)19) 3x =2y+zb – 3c--------------(y) 20) 4a = --------------yc(c)1 x + 3y2 x – 3y21) -- = --------------(x) 22) -- = --------------x xy 2y(y)44--b13131123

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