Free Printable Quadratic Equations

1.

Solve using the Quadratic Formula:

2x² + 2x − 12 = 0

a)

x = −2, 3

b)

x = 2, 3

c)

x = 2, −3

d)

x = −2, −3

2.

What number added would make a perfect square trinomial?

x² - 8x + ______

a)

-4

b)

-64

c)

12

d)

16

3.

Factorize:

3x² + 18x +15

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

4.

Check whether the following is quadratic equation: $\left(2x-1\right)\left(x-3\right)=\left(x+5\right)\left(x-1\right)$

a)

YES

b)

NO

5.

Does the following equation has real roots : $3x^2+2\sqrt{5x}-5=0$

a)

YES

b)

NO

6.

The sum of the reciprocals of Arun's ages 3 years ago and five years from now is $\frac{1}{3}$ . Find his present age

a)

7

b)

8

c)

9

d)

10

7.

Divide 57 into two parts whose product is 680

a)

11 and 15

b)

17 and 40

c)

9 and 4

d)

23 and 28

8.

For what values of k are the roots of the quadratic equation $x^2+k\left(2x\right)+2=0$ real and equal ?

a)

0

b)

1

c)

2

d)

3

9.

A quadratic equation $ax^2+bx+c=0$ has no real roots if

a)

$b^2-4ac>0$

b)

$b^2-4ac<0$

c)

$b^2-4ac=0$

d)

$b^2-4ac=1$

10.

State True of False : Every quadratic equation has exactly one root

a)

TRUE

b)

FALSE

Quadratic Equations

Total questions: 10

Worksheet time: 42mins

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