Free Printable Week 2

1.

Which of the following is used to solve and identify the nature of the roots of quadratic equation?

a)

Quadratic Formula

b)

Discriminant

c)

Completing the Square

d)

Factoring

2.

What is the nature of the roots of the quadratic equation if the value of its discriminant is zero?

a)

The roots are imaginary.

b)

The roots are real, irrational and unequal.

c)

The roots are real, rational and unequal.

d)

The roots are real, rational and equal.

3.

If the discriminant is equal to 121, then the nature of the roots is?

a)

imaginary

b)

irrational and unequal

c)

rational and unequal

d)

real and equal

4.

What is the value of the discriminant of the quadratic equation 𝑥² + 4𝑥 + 6 = 0 ?

a)

8

b)

-8

c)

4

d)

-4

5.

What is the product of the roots of the quadratic equation $2𝑥^2−\ 8𝑥-9=0?$

a)

$\frac{2}{9}$

b)

$-\frac{2}{9}$

c)

$\frac{9}{2}$

d)

$-\frac{9}{2}$

6.

What is the sum of the roots of the quadratic equation $12𝑥^2+4𝑥−5=0$ ?

a)

$\frac{1}{3}$

b)

$-\frac{1}{3}$

c)

$-\frac{5}{12}$

d)

$\frac{5}{12}$

7.

What is the sum of the roots of the quadratic equation $3𝑥^2+12𝑥−5=0\ ?$

a)

-4

b)

4

c)

$\frac{5}{3}$

d)

$-\frac{5}{3}$

8.

If the discriminant is equal to 75, then the nature of the roots is?

a)

imaginary

b)

irrational and unequal

c)

rational and unequal

d)

real and equal

9.

If the discriminant is equal to -9, then the nature of the roots is?

a)

imaginary

b)

irrational and unequal

c)

rational and unequal

d)

real and equal

10.

What is the product of the roots of the quadratic equation $6𝑥^2+\ 5𝑥=6?$

a)

$\frac{5}{6}$

b)

$-\frac{5}{6}$

c)

$1$

d)

$-1$

11.

Find the quadratic equation whose roots are 3 and -1.

a)

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

b)

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

c)

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

d)

$x^2+2x+3=0$

12.

What is the value of the discriminant of the quadratic equation 𝑥²− 6𝑥 + 10 = 0 ?

a)

8

b)

-8

c)

4

d)

-4

13.

The roots of the quadratic equation 𝑥²− 6𝑥 + 10 = 0 are _________.

a)

equal

b)

imaginary

c)

rational

d)

irrational

14.

The roots of the quadratic equation 3𝑥²+ 6𝑥 + 3 = 0 are _________.

a)

equal

b)

imaginary

c)

rational

d)

irrational

15.

Find the quadratic equation whose roots are $\sqrt{7}$ and $-\sqrt{7}$ .

a)

$x^2+7=0$

b)

$x^2-7=0$

c)

$x^2+x-7=0$

d)

$x^2+x+7=0$

16.

Find the quadratic equation whose roots are $\frac{1}{2}$ and $-\frac{3}{2}$ .

a)

$4x^2-4x+3=0$

b)

$4x^2-4x-3=0$

c)

$4x^2+4x+3=0$

d)

$4x^2+4x-3=0$

17.

The roots of the quadratic equation 𝑎𝑥² + 𝑏𝑥 + 𝑐 = 0 are rational and equal if __________.

a)

$b^2-4ac=0$

b)

$b^2-4ac>0$

c)

$b^2-4ac<0$

d)

none of the above

18.

Which of the following are the derived formulas for the SUM and PRODUCT of the roots of a quadratic equation, respectively?

a)

$\frac{b}{a}\ ;\frac{c}{a}$

b)

$\frac{b}{a}\ ;-\frac{c}{a}$

c)

$-\frac{b}{a}\ ;\frac{c}{a}$

d)

$-\frac{b}{a}\ ;-\frac{c}{a}$

19.

Which of the following is the derived formula for the discriminant of a quadratic equation?

a)

$b^2+4ac$

b)

$b^2-4ac$

c)

$-b^2+4ac$

d)

$-b^2-4ac$

20.

Find the quadratic equation whose roots are 0 and 5.

a)

$x^2-5=0$

b)

$x^2+5=0$

c)

$x^2+5x=0$

d)

$x^2-5x=0$

Week 2_Quiz

Total questions: 20

Worksheet time: 10mins

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