(a)
(i)y2x+y : Term with factor x - y2x Coefficient of x - y2
(ii) 13y2–8yx : Term with factor x - -8yx Coefficient of x -8y
(iii)x+y+2 : Term with factor x - x Coefficient of x - 1
(iv)5+z+zx : Term with factor x - zx Coefficient of x - z
(v) 1+x+xy : Term with factor x - x xy Coefficient of x - 1 y
(vi)12xy2+25 : Term with factor x - 12xy2 Coefficient of x - 12y2
(vii)7x+xy2 : Term with factor x - xy2 7x Coefficient of x - y27
(b)
(i)8– xy2 : Term contains y2 -xy2 Coefficient of y2-x
(ii)5y2+7x : Term contains y2-5y2 Coefficient of y2-5
(iii)2x2y–15xy2+7y2 : Term contains y2 -15xy2+7y2 Coefficient of y2 -15x7
If \( x, y \) are two positive integers such that \( x + y = 20 \) and the maximum value of \( x^3 y \) is \( k \) at \( x = a, y = \beta \), then \( \frac{k}{\alpha^2 \beta^2} = ? \)
Write equations for the following statements:
(i) The sum of numbers x and 4 is 9.
(ii) 2 subtracted from y is 8.
(iii) Ten times a is 70.
(iv) The number b divided by 5 gives 6.
(v) Three-fourth of t is 15.
(vi) Seven times m plus 7 gets you 77.
(vii) One-fourth of a number x minus 4 gives 4.
(viii) If you take away 6 from 6 times y, you get 60.
(ix) If you add 3 to one-third of z, you get 30