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WorksheetsSolving Quadratic Equation using Completing the square
Total questions: 10
Worksheet time: 20mins
Name
Class
Date
1.
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
2.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
3.
True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.
a)
True
b)
False, because the solution and root are the same but the x-intercept and zero are different
c)
False, because the x-intercept and root are the same but the zero and solution are different
d)
False, they are all different
4.
Find the value of b that makes x2 + bx + 36 a perfect square.
a)
324
b)
-12, 12
c)
6
d)
12
5.
Find the value of c that makes x2 + 16x + c a perfect square.
a)
-64
b)
64
c)
8
d)
16
6.
Complete the square for
x2 + 12x + ____
x2 + 12x + ____
a)
x2 + 12x + 144
b)
x2 + 12x + 36
c)
x2 + 12x - 36
d)
x2 + +12x - 144
7.
Complete the square.
x2 + 6x + ____
x2 + 6x + ____
a)
x2 + 6x + 9
b)
x2 + 6x - 36
c)
x2 + 6x + 36
d)
x2 + 6x - 9
8.
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
9.
What do you need to add to complete the square?x2 + 6x = 20
a)
9
b)
100
c)
36
d)
12
10.
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
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