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2-6 Practice
By Patrick Silvey
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Last updated about 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.
Draggable item
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Corresponding Item
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Question 2
2.
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.
Question 16
16.
Match each quadratic expression in factored form with it's equivalent expression in standard form. One expression in standard form has no match.
(x - 11)(x + 11)
y
2
- x
2
121 - x
2
(x - y)(x - y)
x
2
- 121
(11 + x)(11 - x)
x
2
-2xy + y
2
(y + x)(y - x)
x
2
+ 2xy - y
2
Is (x - 3)(x + 3) equivalent to (3 - x)(3 + x)?
A. Yes, they are equal.
B. No, they are not equal.
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
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
