Diagnostic Test

In the equation

 $\left(x-5\right)^2=9,$  what are the values of x?

• 8 and 2

• -8 and -2

• -8 and 2

  
  

• 8 and -2

What must be added to $x^2-16x+$  __ to make it a perfect square?

• -64

• -8

• 8

• 64

 $\frac{1}{x}+\frac{1}{x+1}=\frac{5}{6}.$  

Find the solution of

• 2

• 3

• 5

• 6

Which of the following mathematical statements is a quadratic inequality?

• $2r^2-7r-5=0$

• $3t^2+5t-2\ge0$

• $5h+12<0$

• $s^2-16$

Which of the following is a quadratic function?

• $y=3x+2$

• $y>3x+2$

• $y<3x+2$

• $y=3x^2+2$

Which of the following is the correct quadratic function for the given table?

• $f\left(x\right)=-2x^2-4x-7$

• $f\left(x\right)=2x^2+4x-7$

• $f\left(x\right)=-2x^2+4x-7$

• $f\left(x\right)=2x^2-4x-7$

What is the equation if the zeros of the quadratic function are -4 and 5?

• $y=x^2+x-20$

• $y=x^2-x-20$

• $y=x^2+x+20$

• $y=x^2-x+20$

The difference of two numbers is 20. Find the two numbers if their product is to be minimum.

• 30 and 10

• 30 and -10

• 10 and -10

• 10 and 10

Which Quadratic Inequality represents the graph

• (x-3)(x+2) < 0

• (x+3)(x-20 < 0

• (x-3)(x+2) > 0

• (x+3)(x-2) > 0

Which of the following is a graph of a quadratic function?

• 
• 
• 
•