Formulas and Factorization

Formulas and Factorization - Formulas and Factorization...

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1 Formulas and Factorization Form 2 1. In each of the following, make the letter in the square brackets the subject of the formula. (a) 4 12 a S R [ R ] (b) 2 2 2 m k p m k q  [ k ] (c) 2 2 Vu Ff VU    [ U ] 2. The area A cm 2 of a trapezium is given by the formula 1 () 2 A a b h  , where a cm and b cm are the lengths of its two parallel sides and h cm is its height. (a) If a = 2, b = 4 and h =5, what is the value of A ? (b) Find the value of b for the trapezium shown in the figure below. 3. In each of the following, find the value of the unknown. (a) 2 1 2 E IW If E = 147, I = 6, find W ( W > 0) (b) ( 1) a n d   If = 100, a = 10, d = 3, find n . (c) 2 1 1 1 34 u v f  If u = 4, f = 2.4, find v . 4. Give m = 3, v = –5, h = 4, g = 10, find the value of E = 2 1 2 mv mgh 5. (i) A telephone company bills its customers according to the following formula: 2 35 4 F C S where \$ F represents the telephone fee, C the number of calls and \$ S the service charge. (a) If a customer has made 20 calls and the service charge is \$50, what is the telephone fee the customer has to pay? (b) Make C the subject of the formula. (c) If a customer has to pay a telephone fee of \$55 in a certain month and the service charge is \$50, how many calls has he made? (ii) When a stone is thrown vertically upwards with an initial speed u m/s, the height h m of the stone after t seconds is given by the formula h = ut – 5 t

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