WorksheetsQuadratic equations
Total questions: 14
Worksheet time: 18mins
Name
Class
Date
1.
In the quadratic formula, if b2-4ac>0, then the quadratic equation has
a)
two imaginary solutions
b)
two different real solutions
c)
two equal real solutions
d)
none of these
2.
In the quadratic formula, the expression
b2-4ac is called
b2-4ac is called
a)
discrim
b)
determinant
c)
discriminant
d)
none of these
3.
The solutions of the quadratic equation
x2-5x+6=0 are
x2-5x+6=0 are
a)
x=1 or x=-6
b)
x=3 or x=2
c)
x=-3 or x= 2
d)
x=-1 or x=6
4.
To complete the perfect square trinomial in the expression x2-22x+_____, we need to add
a)
11
b)
44
c)
121
d)
144
5.
The solution of the quadratic equation
4x2-5x-9=0 are
4x2-5x-9=0 are
a)
x=-1 or x=9/4
b)
x=1 or x=9/4
c)
x=2 or x=3
d)
x=-2 or x=-3
6.
Fill the blank space to complete the perfect square trinomial
x2-18x+____=(x- ____)2
x2-18x+____=(x- ____)2
a)
9 and 3 respectively
b)
81 and 9 respectively
c)
-9 and -3 respectively
d)
-81 and -9 respectively
7.
Solve the following quadratic equation...
x2 - 2x - 15 = 0
a)
x = 5
x = -3
b)
x = -5
x = 3
c)
x = -15
x = 1
d)
x = 15
x = -1
8.
Solve the following quadratic equation...
x2 - 14x + 24 = 0
a)
x = 12
x = 2
b)
x = 4
x = 6
c)
x = 3
x = 8
d)
x = 1
x = 24
9.
What should you do first in solving this equation?
x2 + 6x - 13 = 3
x2 + 6x - 13 = 3
a)
Get factored form
b)
Write down: a=1, b=6, c=-13
c)
Make it equal 0 by subtracting 3 on each side
d)
Type it all in a calculator.
10.
Solve Using the Quadratic Formula
x2 + 4x - 40 = -8
x2 + 4x - 40 = -8
a)
-10 & -4
b)
-4 & 10
c)
-8 & 4
d)
8 & -4
11.
What is the first step to solving THIS equation by completing the square?
a2 + 10a + 21 = 0
a2 + 10a + 21 = 0
a)
Set the equation equal to zero
b)
Divide 10 by 2 and add the result to both sides
c)
Add a2 and 10a together
d)
Subtract the 21
12.
Complete the square for
x2 + 12x + ____
x2 + 12x + ____
a)
x2 + 12x + 144
b)
x2 + 12x + 36
c)
x2 + 12x - 36
d)
x2 + +12x - 144
13.
When factorising
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
14.
Solve by ANY method you have learned: x2−2x+11=0
a)
1±i√10
b)
1±√10
c)
-1±i√10
d)
-1±√10
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