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Quadratic Equations - Gr 10

Total questions: 10

Worksheet time: 11mins

Name
Class
Date
1.

Solve the following quadratic equation...


x2 + 9x + 20 = 0

a)

x = -2

x = -10

b)

x = -5

x = -4

c)

x = -1

x = -20

d)

x = 4

x = 5

2.
Solve using the quadratic formula.
2x2 - 9x - 35 = 0
a)
x = 7/2, x = -6
b)
x = -5/2, x =5
c)
x = -3/7, x =6
d)
x = -5/2, x = 7
3.

If  12\frac{1}{2}  is a root of the equation   x2 + kx − 54x^2\ +\ kx\ -\ \frac{5}{4}  then the value of k is

a)

2

b)

-2

c)

3

d)

-3

4.
The non-zero root of the equation 3x - 5x2 = 0 is_____
a)
3⁄5
b)
5⁄3
c)
-3⁄5
d)
-5⁄3
5.

A quadratic equation ax2+bx+c=0ax^2+bx+c=0  has no real roots if

a)

b2−4ac>0b^2-4ac>0  

b)

b2−4ac<0b^2-4ac<0  

c)

b2−4ac=0b^2-4ac=0  

d)

b2−4ac=1b^2-4ac=1  

6.

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

a)

TRUE

b)

FALSE

7.

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs.27 for a book kept for seven days, while Susy paid Rs.21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.

4 lines
8.

Standard form of quadratic equation is

a)

ax + bx + c = 0

b)

ax² + bx + c = 0

c)

ax² + bx - c = 0

d)

ax² + bx + c = −1

9.

The equation 2x² + kx + 3 = 0 has two equal roots, then the value of k is

a)

±√6

b)

± 4

c)

±3√2

d)

±2√6

10.

If -5 is a root of the quadratic equation 2x² + px – 15 = 0, then

a)

p = 3

b)

p = 5

c)

p = 7

d)

p = 1