Algebra [Edexcel MathB 2014-2016] Topic

1	(Edexcel/Math B/2015/janR/paper01/q16) $\frac{x}{y}$ = $\frac54$ Find the value of  (a)$\frac{4x}{5y}$ (b)$\frac{x-y}{x+y}$	1 2
2	(Edexcel/Math B/2014/jan/paper01/q16) $\frac1a= \frac1b-\frac{c}{a}$ Find c in terms of a and b. Simplify your answer	3
3	(Edexcel/Math B/2014/janR/paper01/q2) Given that $c^2 = 9^3 + 6^4$  and that c is positive, find the value of c.	2
4	(Edexcel/Math B/2014/june/paper01/q11) Make a the subject of (x – a)(x + b) = 3bx Write your answer as a single algebraic fraction	3
5	(Edexcel/Math B/2014/juneR/paper01/q21) Given that $x=\frac{ av+ b}{v}$ express v in terms of a, x and b	4
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6	(Edexcel/Math B/2015/janR/paper01/q8) On a clear day at sea, the distance, \( d \mathrm{~km} \), to the horizon from an observer at a height of \( h \) metres above sea level is given by \( d=\sqrt{12.7 h} \) On a clear day, a crew member on a ship is at a height above sea level of 18 metres, acting as a lookout. Find, to the nearest km, the distance to the horizon.	2
7	(Edexcel/Math B/2015/janR/paper01/q25) \[ x=\frac{1-t^{2}}{1+t^{2}} \quad t > 0 \] Find \( t \) in terms of \( x \).	5
8	(Edexcel/Math B/2015/june/paper01/q12) Given that x is positive, make x the subject of $ y= \frac{a}{x^2}-b$	3
9	(Edexcel/Math B/2015/juneR/paper01/q24) Three positive numbers x, y and z are such that x = ( y – 3) and z = ( y + 2) (a) Find and simplify an expression for $x^2+3z2-4y^2$ in term of y. Given that $x^2+3z^2-4y^2=291$ (b)find the value of y.	3 2
10	(Edexcel/Math B/2016/jan/paper02/q1) Make x the subject of formula $y=\frac{(1-x)^2}{x}-x$	4
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