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Worksheets

Virtual Quiz Bee (Elimination Round)

Total questions: 10

Worksheet time: 17mins

Name
Class
Date
1.

What must be added to

 x2 + 6xx^2\ +\ 6x  to make it a perfect square trinomial?

a)

3

b)

6

c)

9

d)

12

2.

What is the product of the roots in the equation

 3x2 + 18x = 243x^2\ +\ 18x\ =\ 24  ?

a)

8

b)

6

c)

-6

d)

-8

3.

What is the value of

 hh  in the function  y = x2 + 14x + 51y\ =\ x^2\ +\ 14x\ +\ 51 ?

a)

7

b)

14

c)

-7

d)

-14

4.

What is the range of the quadratic function y = (x8)2 + 7y\ =\ \left(x-8\right)^2\ +\ 7 

a)

 {yy7}\left\{y∣y≥7\right\}  

b)

 {yy7}\left\{y∣y\le7\right\}  

c)

 {yy8}\left\{y∣y≥-8\right\}  

d)

 {yy8}\left\{y∣y\le-8\right\}  

5.

What is the vertical shift of the quadratic function y = (x3)2  5y\ =\ -\left(x-3\right)^2\ -\ 5 

a)

3 units upward

b)

3 units downward

c)

5 units upward

d)

5 units downward

6.

What is the equation of the quadratic function whose zeros are -5 and 3?

a)

 f(x)=x22x15f\left(x\right)=x^2-2x-15  

b)

 f(x)=x22x+15f\left(x\right)=x^2-2x+15  

c)

 f(x)=x2+2x15f\left(x\right)=x^2+2x-15  

d)

 f(x)=x2+2x+15f\left(x\right)=x^2+2x+15  

7.

What is the nature of the roots of 5x23x2=05x^2-3x-2=0 

a)

The roots are real and equal.

b)

The roots are rational but not equal.

c)

The roots are irrational and not equal.

d)

The roots are not real.

8.

The sum of two numbers is 12 and the difference of their squares is 48. What are the two numbers?

a)

5 and 7

b)

4 and 8

c)

3 and 9

d)

2 and 10

9.

What is the equivalent equation of  3k1 = 4k+1\frac{3}{k}-1\ =\ \frac{4}{k+1}  when transformed to a quadratic equation?

a)

 k24k+3=0k^2-4k+3=0  

b)

 k2+3k+2=0k^2+3k+2=0  

c)

 k2+3k4=0k^2+3k-4=0  

d)

 k2+2k3=0k^2+2k-3=0  

10.

The path of an object when it is thrown can be modeled by S(t)=16t2+8t+4 S\left(t\right)=-16t^2+8t+4\  where  SS in feet is the height of the object in  tt seconds after it is released. What is the maximum height  reached by the object?

a)

3 feet

b)

4 feet

c)

5 feet

d)

6 feet