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Completing The Square #1M
By Jeanmarie Mullen
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Last updated over 4 years ago
23 questions
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Objectives:
Solve for roots by completing the square.
Identify the vertex point when completing the square.
Question 1
1.
What are the roots of the quadratic equation below?
Find the roots by completing the square.
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Question 2
2.
What are the roots of the quadratic equation below?
Find the roots by completing the square.
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Question 3
3.
What are the roots of the quadratic equation below?
Find the roots by completing the square. Round your answers to the nearest tenth.
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Question 4
4.
What are the roots of the quadratic equation below?
Find the roots by completing the square.
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Question 5
5.
What are the roots of the quadratic equation below?
Find the roots by completing the square.
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Question 6
6.
What are the roots of the quadratic equation below?
Find the roots by completing the square.
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Question 7
7.
What are the roots of the quadratic equation below?
Find the roots by completing the square.
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Question 8
8.
What are the roots of the quadratic equation below?
Find the roots by completing the square.
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Question 9
9.
What are the roots of the quadratic equation below?
Find the roots by completing the square.
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Question 10
10.
What are the roots of the quadratic equation below?
Find the roots by completing the square. Round your answers to the nearest tenth.
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Question 11
11.
What are the roots of the quadratic equation below?
Find the roots by completing the square. Round your answers to the nearest tenth.
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Question 12
12.
Determine and state the vertex of f(x) = x
2
- 2x - 8 using the method of completing the square.
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Question 13
13.
Which equation has the same solution as x
2
- 6x - 12 = 0
(x + 3)
2
= 21
(x - 3)
2
= 21
(x + 3)
2
= 3
(x - 3)
2
= 3
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Question 14
14.
When solving the equation x
2
- 8x - 7 = 0 by completing the square, which equaiton is a step in the process?
(x - 4)
2
= 9
(x - 4)
2
= 23
(x - 8)
2
= 9
(x - 8)
2
= 23
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Question 15
15.
What is the solution of the equation. 2(x + 2)
2
- 4 = 28 ?
6 only
2 only
2 and -6
6 and -2
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Question 16
16.
The quadratic equation x
2
- 6x = 12 is rewritten in the form of (x + p)
2
= q, where q is a constant. What is the value of p?
-12
-9
-3
9
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Question 17
17.
In the function f(x) = (x - 2)
2
+ 4, the minimum value occurs when x is
-2
2
-4
4
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Question 18
18.
Please upload pictures of your work if you didn't use the space provided.
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Question 19
19.
Please upload pictures of your work if you didn't use the space provided.
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Question 20
20.
Please upload pictures of your work if you didn't use the space provided.
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Question 21
21.
Please upload pictures of your work if you didn't use the space provided.
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Question 22
22.
Please upload pictures of your work if you didn't use the space provided.
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Question 23
23.
Please upload pictures of your work if you didn't use the space provided.
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