WorksheetsCompleting the Square & Quadratic Formula
Total questions: 20
Worksheet time: 43mins
Name
Class
Date
1.
The discriminant is
a)
aX2 + bX + c
b)
b - 4ac
c)
b2 - 4ac
d)
b2 + 4ac
2.
____________
For the function above, is the discriminant positive, negative, or zero?
For the function above, is the discriminant positive, negative, or zero?
a)
Positive
b)
Negative
c)
Zero
d)
Not Sure
3.
For the function below, is the discriminant positive, negative, or zero?
___________
y = x² + 4x + 4
a)
Positive
b)
Negative
c)
Zero
d)
Not Sure
4.
What is the discriminant of -2x2 − x − 1 = 0
a)
76
b)
-7
c)
9
d)
none of these
5.
What is the discriminant for 5x2 + x − 2 = 0
a)
-39
b)
42
c)
-41
d)
none of these
6.
If the discriminant is positive, then the solution will be
a)
one real solution
b)
two real solutions
c)
no real solutions
d)
one imaginary solution
7.
A function has a discriminant of 25.
______________
How many solutions does it have?
______________
How many solutions does it have?
a)
0
b)
1
c)
2
d)
5
8.
In the equation
y = x2 +5x +7, match each leading coefficient with its correct letter
y = x2 +5x +7, match each leading coefficient with its correct letter
a)
a=0, b=5, c=7
b)
a=1, b=5, c=7
c)
a=7, b=5, c=1
9.
Determine the values of
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
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
10.
Solve 2x2 + 7x - 15 = 0
a)
-1.5 or 5
b)
No Solution
c)
-5 or 1.5
d)
0.7 or 5
11.
Solve using the quadratic formula.
2x2 - 9x - 35 = 0
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
12.
What is this formula?
a)
This is the speed of light formula.
b)
This is the quadratic formula.
c)
This is the zero product property.
d)
This is scary.
13.
To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x
x2 = 9 - 4x
a)
the -4x
b)
the 9
c)
the x2
14.
When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
15.
What value of c would make this a perfect square trinomial?
x2 + 2x + c
x2 + 2x + c
a)
2
b)
4
c)
-2
d)
1
16.
Complete the Square
x2 + 6x = 5
x2 + 6x = 5
a)
(x + 3)2 = 5
b)
(x + 6)2 = 9
c)
(x + 3)2 = 14
d)
(x + 6)2 = 14
17.
Solve by completing the square.
y2 + 10y = -9
y2 + 10y = -9
a)
1 and -12
b)
-1 and -9
c)
1 and -9
d)
1 and -1
18.
Find the missing value "c" to complete the square.
x2 + 6x + ____
a)
9
b)
12
c)
36
d)
- 9
19.
Given the perfect square trinomial, identify the equivalent expression
x2-18x+81
a)
(x-18)2
b)
(x-9)2
c)
(x+81)2
d)
(x+9)2
20.
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
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