Free Printable Quadratic Equation

1.

Roots of the quadratic equation of the type ax² + bx = 0 is _____

a)

x = 0

b)

ax + b = 0

c)

x = 0 and ax + b = 0

d)

Not possible to find

2.

The Equation (x² + 1)² - x² = 0 has ___

a)

four real roots

b)

two real roots

c)

no real roots

d)

one real root

3.

a)

b)

c)

d)

4.

Solve the equation by factoring:
x² + x - 20 = 0

a)

x = -5 and 4

b)

x = 4 and 5

c)

x = 5 and -4

d)

x = -4 and -5

5.

Solve the equation by factoring:

x² + 13x + 40 = 0

a)

-8, 5

b)

-40, -1

c)

5, 8

d)

-8, -5

6.

Which of the following is a quadratic equation?

a)

$3s^2+s–4$

b)

$m^2–8m–1=0$

c)

$2x–1=5$

d)

$5y^2+4y\ge7$

7.

In the quadratic equation 2x² – 9x – 5 = 0, which is the linear term?

a)

2x²

b)

x²

c)

– 9x

d)

– 5

8.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

9.

Find the zeros of the quadratic equation y=4(x+9)²-36

a)

x=-9+√6 & x=-9-√6

b)

x=3 & x=-3

c)

x=-6 & x=-12

d)

so solution

10.

a)

A

b)

B

c)

C

d)

D

11.

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

12.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

13.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

-4.9 and -0.1

b)

-8.54 and 8.54

c)

-0.45 and 3.55

d)

-6.77 and 1.77

14.

At what time would you reach 16 ft above the water if you jump of a cliff using the formula:
h = -16t² + 8t + 24?

a)

8

b)

1

c)

1/2

d)

1/4

15.

Complete the Square
x² + 6x + 20

a)

(x + 3x)² + 11

b)

(x + 3)² + 11

c)

(x + 6)² + 11

d)

(x + 3)² + 29

16.

Fill the blank space to complete the perfect square trinomial
x²-18x+____=(x- ____)²

a)

9 and 3 respectively

b)

81 and 9 respectively

c)

-9 and -3 respectively

d)

-81 and -9 respectively

17.

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

18.

Find for what value(s) of k, the quadratic equation, $\left(k+1\right)x^2-2\left(k-1\right)x+1=0$ has equal roots?

a)

0

b)

3

c)

0 , 3

d)

None of these

19.

If the discriminant of $3x^2+2x+a=0$ is double the discriminant of $x^2-4x+2=0$ , find a

a)

1

b)

$-1$

c)

0

d)

None of these

20.

A polynomial equation in x of degree n always has

a)

n distinct roots

b)

n real roots

c)

exactly n roots

d)

n imaginary roots

Quadratic Equation

Total questions: 20

Worksheet time: 3600secs

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