Mathematics 9 (Round 1)

What is the sum of the roots of the quadratic equation $6x^2+12x-18=0$ ? 

•  $-2$  

•  $2$  

•  $3$  

•  $-3$  

Which of the following segments would complete the statement $\frac{AB}{WX}=\frac{BC}{?}$ , given that quadrilateral ABCD is similar to quadrilateral WXYZ? 

• XY

• YZ

• WZ

• CD

Given the right triangle above, what is the value of c?

• $\pm5$

• $5$

• $-5$

• $\pm5i$

What is the equation of the axis of symmetry in the quadratic function $f\left(x\right)=x^2-2x-3$  ?

•  $x=2$  

•  $x=-2$  

•  $x=1$  

•  $x=-1$  

Which of the following equation describe the relation "s varies inversely as the square of m and directly as n"?

• $s=\frac{m^2}{n}$

• $s=m^2n$

• $s=n^2m$

• $s=\frac{n}{m^2}$

What is the product of the roots of the quadratic equation $x^2-21+4x=0$  ?

•  $21$  

•  $-21$  

•  $4$  

•  $-4$  

Simplify: $\sqrt{32}$  

•  $16\sqrt{2}$  

•  $\sqrt{32}$  

•  $4\sqrt{2}$  

•  $2\sqrt{8}$  

Given that $\Delta CUT\ \sim\ \Delta SAM$ , which of the following statement is TRUE?

•  $\angle C\cong\angle M$  

•  $\angle T\cong\angle C$  

•  $\angle U\cong\angle A$  

•  $\angle M\cong\angle A$  

What are the roots of the quadratic equation $x^2-121=0$  ?

•  $11$  

•  $-11\ and\ 11$  

•  $-11$  

•  $-11i\ and\ 11i$  

What is the conjugate of  $\sqrt{3}-\sqrt{5}$ ?

•  $\sqrt{5}-\sqrt{3}$  

•  $3+\sqrt{5}$  

•  $\sqrt{3}+\sqrt{5}$  

•  $\sqrt{3}-5$