Free Printable Quadratic Equation Quiz-2

1.

1. Which of the following is not a quadratic equation?

a)

x² + 3x – 5 = 0

b)

x² + x3 + 2 = 0

c)

3 + x + x² = 0

d)

x² – 9 = 0

2.

The quadratic equation has degree...

a)

0

b)

1

c)

2

d)

3

3.

The polynomial equation x (x + 1) + 8 = (x + 2) {x – 2) is..

a)

linear equation

b)

quadratic equation

c)

cubic equation

d)

bi-quadratic equation

4.

The roots of the quadratic equation 6x² – x – 2 = 0 are

a)

$\frac{2}{3},\frac{1}{2}$

b)

$-\frac{2}{3},\ \frac{1}{2}$

c)

$\frac{2}{3},-\frac{1}{2}$

d)

$-\frac{2}{3},-\frac{1}{2}$

5.

The quadratic equation whose roots are 1 and

a)

2x² + x – 1 = 0

b)

2x² – x – 1 = 0

c)

2x² + x + 1 = 0

d)

2x² – x + 1 = 0

6.

The quadratic equation whose one rational root is 3 + √2 is ___________.

a)

x² – 7x + 5 = 0

b)

x² + 7x + 6 = 0

c)

x² – 7x + 6 = 0

d)

x² – 6x + 7 = 0

7.

The roots of the quadratic equation $x+\frac{1}{x\ }=3;\ x\ne0$ are.....

a)

$3+\sqrt{5\ },\ 3-\sqrt{5}$

b)

$2+\sqrt{5},\ 2-\sqrt{5}$

c)

$\frac{3+\sqrt{5}}{2},\frac{3-\sqrt{5}}{2}$

d)

$\frac{3-\sqrt{3}}{2},\frac{3+\sqrt{3}}{2}$

8.

The roots of the quadratic equation 2x² – 2√2x + 1 = 0 are....

a)

$\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}}$

b)

$\sqrt{2},\sqrt{2}$

c)

$\frac{1}{\sqrt{2}},-\frac{1}{\sqrt{2}}$

d)

$\sqrt{2\ },\frac{1}{\sqrt{2}}$

9.

The sum of the roots of the quadratic equation $3x^2-9x+5=0$ is

a)

3

b)

6

c)

-3

d)

2

10.

The sum of two numbers is 27 and product is 182. The numbers are:

a)

12 and 13

b)

13 and 14

c)

12 and 15

d)

13 and 24

11.

The roots of quadratic equation 2x2 + x + 4 = 0 are:

a)

Positive and negative

b)

Both Positive

c)

Both Negative

d)

No real roots

12.

A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.

a)

30 km/hr

b)

40 km/hr

c)

50 km/hr

d)

60 km/hr

13.

The value of 'k' for which the quadratic equation $4x^2-3kx+1=0\$ has equal roots:

a)

$\pm\frac{2}{3}$

b)

$\pm\frac{4}{3}$

c)

$\pm4$

d)

$\pm6$

14.

$9x^2+8kx+16=0\$ are real and equal is :

a)

$3,-3$

b)

$3,4$

c)

$4,-3$

d)

None of these

15.

The set of values of 'k' for which the equation $kx^2+2x+1$ has distinct real roots is:

a)

$k<1$

b)

$k<\left(-1\right)$

c)

$k=1$

d)

$k=0$

16.

For quadratic equation $x^2-3x+1=0\$

value of sum of roots is:

a)

$1$

b)

$-1$

c)

$3$

d)

$-3$

17.

For quadratic equation $x^2-5x+2=0\$ value of product of roots is:

a)

2

b)

-2

c)

5

d)

-5

18.

What is the Latin word of quadratic?

a)

quadratum

b)

quadra

c)

quad

d)

None of the above

19.

What is the meaning of the Latin word of quadratic?

a)

cube

b)

square

c)

Both a and b

d)

None of the above

20.

Check all the examples of quadratic equations.

a)

y² - 8y + 16 = 0

b)

x = 15

c)

x² - 12 = 4x

d)

y - 6 = y²

21.

x - 12 = -x² is an example of quadratic equation.

a)

True

b)

False

22.

Which of the following is in the standard form?

a)

y² - 7y + 12 = 0

b)

x³ - x²+ 3x -8 = 0

c)

x² +9x = 34

d)

y² - 10 = -3y

23.

The formula for the discriminant is:

a)

x = -b/2a

b)

y = -b/2a

c)

d = b² - 4ac

d)

y = ax² + bx + c

24.

Using the discriminant, find the number of solutions to y = x² - 10x + 25

a)

2

b)

1

c)

0

25.

Use the discriminant to find the number of solutions to y = -3x² + 7x + 6

a)

2

b)

1

c)

0

Quadratic Equation Quiz-2

Total questions: 25

Worksheet time: 59mins

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