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Quadratic Equations - Full topic

Total questions: 9

Worksheet time: 1hrs 5mins

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.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
3.
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
4.
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
5.

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

6.

A natural number, when increased by 12, equals 160 times its reciprocal. Find the number.

a)

3

b)

8

c)

4

d)

7

7.

The positive root of  3x2 + 6 = 9\sqrt{3x^2\ +\ 6}\ =\ 9  is  

a)

3

b)

5

c)

4

d)

7

8.

In a class test, the sum of Shefali’s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects.

a)

12,18

b)

13,17

c)

Both 12,18 and 13, 17

d)

None of these

9.

A motorboat whose speed in still water is 18 km/hr, takes 1 hour more to go 24km upstream than to return downstream to the same spot. Find the speed of the stream.

a)

6 km/hr

b)

8 km/hr

c)

10 km/hr

d)

12 km/hr