Free Printable M1C2: Quadratic equations

1.

The quadratic equation having a solution set ( 3, - 4 ) is:

a)

$x^2\ +\ x\ -\ 12\ =\ 0$

b)

$x^2\ -\ x\ -\ 12\ =\ 0$

c)

$x^2\ +\ 4x\ -\ 12\ =\ 0$

d)

$x^2\ -\ 3x-\ 12\ =\ 0$

2.

The value of the discriminant for the equation

2x^2\ +\ 3x\ -\ 2\ =\ 0

is :

a)

5

b)

12

c)

18

d)

25

3.

If the sum of 2 prime numbers is 13 and product is 22, then __________ is the smallest of the two prime numbers.

a)

11

b)

2

c)

5

d)

7

4.

A rectangular park has perimeter 80 metre and area 400 square metre. Find its length and breadth.

a)

24, 28

b)

20, 20

c)

40, 10

d)

16, 25

5.

Which of the following equations is not a quadratic equation?

0

a)

$5p^2+4\ =\ 5\left(p^2+p\right)$

b)

$\frac{2x^2}{3}\ =\ 3x\ -\ 2$

c)

$-3y^2+2\ =\ y^2\ +5$

d)

$2y^2=\ y^2+1$

6.

Which of the following is the solution of the quadratic equation

2x^2+\ \left(k-6\right)x\ -3k\ =\ 0

a)

$x=\frac{-k}{2}$

b)

$x\ =\ \frac{2}{k}$

c)

$x\ =\ -\frac{2}{k}$

d)

$x\ =\ \frac{k}{2}$

7.

If x = 2 is a solution of the quadratic equation

x^2+\ kx-6\ =\ 0

then the value of k is ______________

a)

4

b)

1

c)

2

d)

3

8.

The roots of quadratic equation

2x^2-5x\ +3\ =\ 0

are:

a)

imaginary

b)

irrational

c)

equal

d)

real and unequal

9.

A quadratic equation has _______________

a)

2 variables and 4 as the maximum index

b)

one variable and 2 as the maximum index

c)

1 variable and minimum 2 as the index

d)

2 variables and minimum 4 as the index

10.

Discriminant of the equation

x^2-5x+8=0

is____________

a)

- 9

b)

- 7

c)

14

d)

16

11.

If the sum of the first n natural numbers is 15 then n is __________

a)

6

b)

8

c)

5

d)

4

12.

If one solution of equation

x^2+ax+2=0

is x = 1, then _________

a)

a = 7

b)

a = - 3

c)

a = - 7

d)

a = 3

13.

Which of the following is a root of the equation

6x^2-5x+1=0

?

a)

$\frac{1}{4}$

b)

$-\frac{1}{6}$

c)

$\frac{1}{2}$

d)

$-\frac{1}{3}$

14.

If

\alpha\ and\ \beta

are the roots of the quadratic equation

y^2+6y-2=0

then

\alpha+\beta

= _____________________

a)

2

b)

6

c)

- 2

d)

- 6

15.

$\ b^2-4ac=0$ then the roots of the equation are _____________

a)

Not real

b)

Not real but equal

c)

real and equal

d)

Real but not equal

16.

When the equation $3x^2=-8+5x$ is expressed in the form of $ax^2+bx+c=0$ , the values of a, b, c are ______________

a)

- 3, 5 and 8

b)

- 3, 5 and - 8

c)

3, - 5 and 8

d)

3, - 5 and - 8

17.

One side of a rectangle exceeds its other side by 2 cm. If its area is 195 sq cm, determine the sides of the rectangle.

a)

14 cm, 14 cm

b)

13 cm, 15 cm

c)

20 cm, 8 cm

d)

12 cm, 16 cm

18.

Which of the following is zero of $x^2-4x-21=0$ ?

a)

- 3

b)

- 7

c)

- 5

d)

5

19.

The quadratic form of the equation $x-\frac{5}{x}=3x-9$ is _________-

a)

$2x^2+9x-5=0$

b)

$3x^2+9x-5\ =\ 0$

c)

$2x^2-9x+5=0$

d)

$4x^2-9x+5=0$

20.

The solution set of equation : $x^2-4=0$ is ____________

a)

+ 4, - 4

b)

2

c)

4

d)

+2, - 2

M1C2: Quadratic equations

Total questions: 20

Worksheet time: 23mins

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