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Quiz Review: Solving Quadratic Equations
By Jeanmarie Mullen
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Last updated over 4 years ago
18 questions
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Question 1
1.
Which of the following
equations is the solution to
p
2
+ 14p + 3 = 0
after completing the square?
[Show your work in the space provided.]
(p + 7)
2
= 46
(p - 7)
2
= 52
(p + 7)
2
= 52
(p - 7)
2
= 46
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Question 2
2.
An equation whose roots are 4 and -1 is
[Show your work in the space provided.]
e
2
- 3e + 4 = 0
e
2
+ 3e - 4 = 0
e
2
+ 3e + 4 = 0
e
2
- 3e - 4 = 0
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Question 3
3.
What is the solution of
the quadratic equation
2x
2
- x = 14 ?
[Show your work in the space provided.]
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Question 4
4.
What is the smaller root of the equation
k
2
- 9k + 20 = 0 ?
[Show your work in the space provided.]
-5
-4
5
4
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Question 5
5.
The solution set of the equation
f
2
= 256 is
[Show your work in the space provided.]
{ -16 , 16 }
{ -16 }
{ 0 , 16 }
{ 16 }
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Question 6
6.
Solve u
2
- 6u - 5 = 0
by completing the square.
[Show your work in the space provided.]
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Question 7
7.
Which of the following
equations is equivalent to
n
2
+ 3n = 18
by completing the square?
[Show your work in the space provided.]
(n - 1.5)
2
= 20.25
(n + 1.5)
2
= 15.75
(n + 1.5)
2
= 20.25
(n + 1.5)
2
= 15.75
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Question 8
8.
What are the roots of
4x
2
- 3x = 2
to the nearest hundredth?
[Show your work in the space provided.]
{ -0.43 , 1.18 }
{ -3.41 , 1.23 }
{ 1.23 , 3.41 }
{ -1.18 , 0.43 }
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Question 9
9.
What is the negative root of the equation
d
2
- d - 2 = 0 ?
[Show your work in the space provided.]
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Question 10
10.
Find the solutions to the equation
2m
2
- 10m + 6 = 0 .
Round your answers to the nearest tenth.
Type your answer in the form
{p,q} such as {-8,1} .
Do not include any spaces.
[Show your work in the space provided.]
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Question 11
11.
Solve for y by completing the square:
x
2
- 6x + 3 = 0
Round your answers to the nearest hundredth.
Type your answer in the form
{p,q} such as {-8,1} .
Do not include any spaces.
[Show your work in the space provided.]
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Question 12
12.
What are the roots of
3x
2
= 2x + 2 ?
Round your answers to the nearest hundredth.
Type your answer in the form
{p,q} such as {-8,1} .
Do not include any spaces.
[Show your work in the space provided.]
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Question 13
13.
Solve for all values of x that satisfy the equation below.
Type your answer in the form
{p,q} such as {-8,1} .
Do not include any spaces.
[Show your work in the space provided.]
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Question 14
14.
Please upload pictures of your work if you didn't use the space provided.
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Question 15
15.
Please upload pictures of your work if you didn't use the space provided.
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Question 16
16.
Please upload pictures of your work if you didn't use the space provided.
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Question 17
17.
Please upload pictures of your work if you didn't use the space provided.
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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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