Question Text
Question 1 :
State True or False:If $ x=6a+8b+9c$; $ y=2b-3a-6c $  and  $ z=c-b+3a $; then $ 3y-2z-5x $ is $-45a-32b-65c $.<br/>
Question 2 :
State True or False:<br/>On subtracting $ 3a-5b+c+2d$ from $ 7a-3b+c-2d $, the answer is $ 4a+2b-4d $.<br/>
Question 5 :
If we take away $\displaystyle -8abc$ from $\displaystyle -7abc$, then the result is equal to
Question 6 :
The value of the polynomial $x^2-x-1$ at $x= -1$ is :
Question 7 :
State True or False:If $ x=6a+8b+9c$; $ y=2b-3a-6c $  and  $ z=c-b+3a $; then $ 2x-y-3z$ is $6a+17b+21c $.<br/>
Question 8 :
State True or False:If $ x=6a+8b+9c$; $ y=2b-3a-6c $  and  $ z=c-b+3a $; then $ x+y+z $ is $6a+9b+4c $.
Question 9 :
If $A = -x^{2} - 5x + 3$ and $B = 4x^{2} + 7x - 1$, then calculate $\dfrac {3}{2}B - 2A$?
Question 11 :
If $x ^* y = x + y + \sqrt{xy},$ find the value of $9 ^* 64$.
Question 12 :
State true or false: Coefficient of x in -3xy is -3
Question 13 :
If $x+y=a$ and $xy=b$, then the value of $\displaystyle\frac{1}{x^3}+\displaystyle\frac{1}{y^3}$ is equal to
Question 16 :
The value of $x$ in the expression $[x+x^{\log_{x}(10)}]^{5}$, if the third term in the expansion is $10,00,000$  
Question 19 :
${\left( {a + \frac{1}{a}} \right)^2} = 3$ then${a^3} + \frac{1}{{{a^3}}} = $
