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2-6 Practice
By Patrick Silvey
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Last updated almost 3 years ago
16 questions
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Question 15
15.
Create a diagram to show that (x - 3)(x - 7) is equivalent to x
2
- 10x + 21.
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1
Question 1
1.
Match each quadratic expression in factored form with it's equivalent expression in standard form. One expression in standard form has no match.
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Corresponding Item
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y
2
- x
2
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Question 2
2.
Is (x - 3)(x + 3) equivalent to (3 - x)(3 + x)?
A. Yes, they are equal.
B. No, they are not equal.
Question 3
3.
Show that (5 + 1)(5 - 1) is equivalent to 5
2
- 1
2
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Question 4
4.
We are multiplying together two numbers in the expressions (30 - 2)(30 + 2) and 30
2
- 2
2
. What is one of the two numbers we are multiplying?
Question 5
5.
We are multiplying together two numbers in the expressions (30 - 2)(30 + 2) and 30
2
- 2
2
. What is the other number we are multiplying?
Question 6
6.
Write
as a product of a sum and a difference.
Question 7
7.
Write
as difference of two squares.
Question 8
8.
What is
?
Question 9
9.
Write x
2
- 144 in factored form. If not possible, write "not possible."
Question 10
10.
Write x
2
+ 16 in factored form. If not possible, write "not possible."
Question 11
11.
Write 25 - x
2
in factored form. If not possible, write "not possible."
Question 12
12.
Write b
2
- a
2
in factored form. If not possible, write "not possible."
Question 13
13.
Write 100 + y
2
in factored form. If not possible, write "not possible."
Question 14
14.
What are the solutions to the equation (x - a)(x + b) = 0?
A. a and b
B. -a and -b
C. a and -b
D. -a and b
Question 16
16.
(x - y)(x - y)
121 - x
2
(11 + x)(11 - x)
x
2
- 121
(y + x)(y - x)
x
2
-2xy + y
2
(x - 11)(x + 11)
x
2
+ 2xy - y
2
Select all the expressions that are equivalent to 8 - x.
A. x - 8
B. 8 + (-x)
C. -x - (-8)
D. -8 + x
E. x - (-8)
F. x + (-8)
G. -x + 8