Math's Quiz

Solve:
 $3x^2+5x-12=0$  

•  $x=5\ or\ x=\ 3$  

•  $x=\ 2\ or\ x=\ -3$  

•  $x=-3\ or\ x=\frac{4}{3}$  

•  $x=3\ or\ x=\ -4$  

 $\frac{x}{x+3}+\frac{2x}{x-3}-\frac{45}{x^2-9}=0$  

Write in simplest standard quadratic form equation. 

•  $5x^2-9x+20=0$  

•  $3x^2+3x-45=0$  

•  $x^2-x-25=0$  

•  $x^2+x-15=0$  

 $5^{12}\times5^{-2}\div5^{2x}=1$  

Solve.

•  $x=5$  

•  $x=-5$  

•  $x=10$  

•  $x=\frac{5}{2}$  

 $\left(\frac{x^{-3}\ y^2\ z^{-5}}{x^5\ y^{-4}}\right)\div\left(\frac{x^2\ y^{-6}}{x^{-4}\ y^2\ z^3}\right)$  

Simplify.

•  $\frac{y^{14}\times z^2}{x^{-14}}$  

•  $\frac{y^{14}\ z^2}{x^{-14}}$  

•  $\frac{y^{14}\ }{x^{14}\ z^2}$  

•  $\frac{x^{14}\ z^3}{y^{14}}$  

Solve the inequality

 $\frac{2}{3}\left(x-2\right)\ge\frac{1}{2}\left(x-3\right)$  

•  $x\ge-1$  

•  $x\le-2$  

•  $x>1$  

•  $x\le-1$  

Solve the inequality

 $3x-1>x+5\ge4x+14$  

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The diagram shows a trapezium in which AB is Parallel to DC and the area of ABCD is 84 square unit.

Find an expression of 't' in term of 'h'

•  $t=2h-12$  

•  $t=15-h$  

•  $t=h-3$  

•  $t=5h+2$  

The vertices of a triangle ABC are A(-1, -3) , B(2, 3) & 

C(k+5, k). Find the value of 'k' if AB is perpendicular to BC.

•  $k=1$  

•  $k=3$  

•  $k=5$  

•  $k=7$  

 $If\ \ x^2-\frac{7}{2}p\ x\ =\ \left(x+a\right)^2\ +b$  
Find the value of 'a' and 'b'

•  $a=\frac{7}{2}\ \ \&\ \ b=25p^2$  

•  $a=\frac{49}{4}p\ \ \ \&\ b=\ p^2\$  

•  $a=\frac{7}{2}p^2\ \ \ \ \ \&\ b=\frac{49}{4}p$  

•  $a=-\frac{7}{4}p\ \ \&\ \ b=-\frac{49}{4^2}^{p^2}$  

solve :

 $\frac{7-2y}{2}-\frac{2}{5}\left(2-y\right)=1\ \frac{1}{4}$  

•  $y=2\ \frac{7}{12}$  

•  $y=3\ \frac{7}{5}$  

•  $y=2\ \frac{5}{12}$  

•  $y=\frac{9}{12}$