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Worksheets

Q' Game

Total questions: 10

Worksheet time: 12mins

Name
Class
Date
1.

It is a polynomial equation on the second degree that can be written in the form ax2 + bx + c = 0ax^2\ +\ bx\ +\ c\ =\ 0  where a  \ne  0

(a)  

2.

In the quadratic equation  3x2 + 7x  4 = 03x^2\ +\ 7x\ -\ 4\ =\ 0 , which is the quadratic term?

a)

 x2x^2  

b)

7x

c)

 3x23x^2  

d)

-4

3.

Identify which of the following equations are quadratic. (2 correct answers)

a)

3m + 8 = 15

b)

x2 5x + 10 = 0x^2\ -\ 5x\ +\ 10\ =\ 0

c)

3x(x - 2) = -7

d)

12(x 6) = 0\frac{1}{2}\left(x\ -\ 6\right)\ =\ 0

4.

The four methods of solving quadratic equations are factoring, extracting square roots, completing the square, and using the (a)   .

5.

The value of the expression  b2  4acb^2\ -\ 4ac  is called (a)   .

6.

What is the nature of the roots of a quadratic equation whose value of the discriminant is equal to -8

a)

real and equal

b)

rational and not equal

c)

irrational and not equal

d)

no real roots

7.

What is the value of  b2  4acb^2\ -\ 4ac  of the quadratic equation  x2  4x + 4 = 0x^2\ -\ 4x\ +\ 4\ =\ 0  ?

a)

-32

b)

0

c)

-8

d)

1

8.

Which of the following is the formula for the product of the roots of a quadratic equation?

a)

 ba\frac{-b}{a}  

b)

 ca\frac{-c}{a}  

c)

 ba\frac{b}{a}  

d)

 ca\frac{c}{a}  

9.

Which of the following is the formula for the sum of the roots of a quadratic equation?

a)

ba\frac{b}{a}

b)

ca\frac{c}{a}

c)

ba\frac{-b}{a}

d)

ca\frac{-c}{a}

10.

Transform (x + 6)2 = 15\left(x\ +\ 6\right)^2\ =\ 15  into a quadratic equation in the form  ax2 + bx + c = 0ax^2\ +\ bx\ +\ c\ =\ 0  


a)

 x2 + 12x + 51 = 0x^2\ +\ 12x\ +\ 51\ =\ 0  

b)

 x2 + 12x + 21 = 0x^2\ +\ 12x\ +\ 21\ =\ 0  

c)

 x2  12x + 21 = 0x^2\ -\ 12x\ +\ 21\ =\ 0  

d)

 x2 + 12x  51 = 0x^2\ +\ 12x\ -\ 51\ =\ 0