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Worksheets

Illustrates Quadratic Equation

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

Which of the following is a quadratic equation?

a)

 (r5)r=r2+3r+10\left(r-5\right)r=r^2+3r+10  

b)

 2(x+3)(x3)=(x1)(x+4)2\left(x+3\right)\left(x-3\right)=\left(x-1\right)\left(x+4\right)  

c)

 3t5=03t-5=0  

d)

 2w2732w^2-7\ge3  

2.

In the standard form  ax2+bx+c=0ax^2+bx+c=0  , which of these parameters must not be equal to zero?

a)

x

b)

b

c)

c

d)

a

3.

Which is the quadratic term in the equation  3x2+7x4=03x^2+7x-4=0  ?

a)

 x2x^2  

b)

 3x23x^2  

c)

 4-4  

d)

 +7x+7x  

4.

Which of these equations is not quadratic?

a)

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

b)

8=(3x+7)2-8=\left(3x+7\right)^2

c)

2x26=3x2x^2-6=3x

d)

x(x+3)=6x\left(x+3\right)=6

5.

The linear term in the equation  15+4x22x=015+4x^2-2x=0  is?

a)

 1515  

b)

 4x24x^2  

c)

 2x-2x  

d)

 00  

6.

The standard form of the equation  2x(3x+2)=52x\left(3x+2\right)=5 .

a)

 6x2+2x+5=06x^2+2x+5=0  

b)

 6x2+2x5=06x^2+2x-5=0  

c)

 6x2+4x+5=06x^2+4x+5=0  

d)

 6x2+4x5=06x^2+4x-5=0  

7.

What is the constant term if the equation  (2x3)2=9\left(2x-3\right)^2=9  is written in standard form?

a)

 44  

b)

 6-6  

c)

 99  

d)

 00  

8.

What mathematical concept are you going to use in order to write the equation  3x22x=63x^2-2x=-6  in standard form?

a)

Symmetric Property

b)

Distributive Property

c)

Addition Property of Equality

d)

Multiplication Property of Equality

9.

What are the two mathematical principles to be used in order to write the equation  x(x+8)=6 x\left(x+8\right)=-6\  in standard form? 

a)

Distributive Property and Addition Property of Equality

b)

Distributive Property and Symmetric Property

c)

Distributive Property and Multiplication Property of Equality

d)

None of these

10.

If the equation  3(2x+1)2=2 3\left(2x+1\right)^2=-2\  is written in standard form, what are the values of a, b and c? 

a)


 a=12, b=12 and c=1a=12,\ b=12\ and\ c=1  

b)

 a=12, b=12 and c=5a=12,\ b=12\ and\ c=5  

c)

 a=12, b=4 and c=5a=12,\ b=4\ and\ c=5  

d)

 a=12, b=4 and c=1a=12,\ b=4\ and\ c=1