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Also, please do visit our page, LIKE and FOLLOW us on Facebook!
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30
2
37
-
-
K
K
30
2
37
-
-
K
K
� EMBED Equation.3 ���-5
� EMBED Equation.3 ���5
Sum=b
0
Product=a x c
1x (-25)
x2+0x-25=0 substitute the value of bx to facilitate factorization
The denominator is a constant term
(x2+5x)(-5x-25)=0
x (x+5)-5(x+5)=0
(x+5)(x-5) are the factors for the domain
All values of x in the expression are included as dividing by the domain will yield a solution
Thus D=� EMBED Equation.3 ���
� EMBED Equation.3 ���The Domain is Integer 2 which divides any factor in the numerator. We factorize the Numerator to obtain the factors.
� EMBED Equation.3 ���-6
� EMBED Equation.3 ���5
Sum=b
-1
Product=a x c
1x (-30)
k2+5k-6k-30=0 substitute the value of bx to facilitate factorization
(k2+5k)(-6k-30)=0
k (k+5)-6(k+5)=0
(k+5)(k-6) are the factors for the domain
k=-5 and k=6 are the excluded values in the expression since they will equal 0 in any range of values.
Thus D={K:K� EMBED Equation.3 ���� EMBED Equation.3 ���,K� EMBED Equation.3 ���(-5) ,k� EMBED Equation.3 ���6}
L
� EMBED Equation.3 ���Factorizing the domain in the form we find factors:
Â
2
25
2
-
x
30
2
37
-
-
K
K
30
2
37
-
-
K
K
Î
Â
¹
¹
30
2
37
-
-
K
K
_1071350467.unknown
_1071351244.unknown
_1071350591.unknown
_1071350663.unknown
_1071348848.unknown
INSTRUCTOR GUIDANCE EXAMPLE: Week One Discussion
Domains of Rational Expressions
Students, you are perfectly welcome to format your math work just as I have done in
these examples. However, the written parts of the assignment MUST be done about
your own thoughts and in your own words. You are NOT to simply copy this wording
into your posts!
Here are my given rational expressions oh which to base my work.
25x2 – 4
67
5 – 9w
9w2 – 4
The domain of a rational expression is the set of all numbers which are allowed to
substitute for the variable in the expression. It is possible that some numbers will not be
allowed depending on what the denominator has in it.
In our Real Number System division by zero cannot be done. There is no number (or
any other object) which can be the answer to division by zero so we must simply call the
attempt “undefined.” A denominator cannot be zero because in a rational number or
expression the denominator divides the numerator.
In my first expression, the denominator is a constant term, meaning there is no variable
present. Since it is impossible for 67 to equal zero, there are no excluded values for the
domain. We can say the domain (D) is the set of all Real Numbers, written in set
notation that would look like this:
D = {x| x ∈ ℜ} or even more simply as D = ℜ.
For my second expression, I need to set the denominator equal to zero to find my
excluded values for w.
9w2 – 4 = 0 I notice this is a difference of squares which I can factor.
(3w – 2)(3w + 2) = 0 Set each factor equal to zero.
3w – 2 = 0 or 3w + 2 = 0 Add or subtract 2 from both sides.
Q1 week 1 (common monomial,sum & diffrence of two cubes,difference of tw...Walden Macabuhay
It consists of ten units in which the first unit focuses on the special products and factors. Its deals with the study of rational algebraic expressions. It aims to empower students with life – long learning and helps them to attain functional literacy. The call of the K to 12 curriculum allow the students to have an active involvement in learning through demonstration of skills, manifestations of communication skills, development of analytical and creative thinking and understanding of mathematical applications and connections.
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Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
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The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
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• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
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This will be used as part of your Personal Professional Portfolio once graded.
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1. Evaluating Rational Algebraic
Expressions
Lorie Jane L. Letada
Module 3: Lesson 3
https://meet.google.com/abw-szyj-avt
November 26, 2020, Thursday, 2:00-3:00 PM
Google meet code: abw-szyj-avt
Join Us!
2. At the end of this lesson, you are expected to:
identify rational algebraic expressions
determine the steps in evaluating a rational
algebraic expression; and
evaluate a rational algebraic expression.
Objectives
3. Review Do you belong with me?
https://wordwall.net/resource/7142866/do-you-belong-me
5. Questions:
1. Given the expression 10x = 300, how many pages does
each module has?
2. What if Teacher Justin printed 450 pages, how many
students can have the module given the value of x? (Let
y represents the number of students.
Show Solution
Show Solution
6. Solve it!
1. Given the expression 10x = 300, how many pages does
each module has?
𝟏𝟎𝒙
𝟏𝟎
=
Let x be the number of pages in each module has
𝟏𝟎𝒙 = 𝟑𝟎𝟎
𝟑𝟎𝟎
𝟏𝟎
𝒙 = 3𝟎 BACK
7. Solve it!
2. What if Teacher Justin printed 450 pages, how many
students can have the module given the value of x? (Let
y represents the number of students.
𝟑𝟎𝒚
𝟑𝟎
=
Let y be the number of students
30y = 𝟒𝟓𝟎
𝟒𝟓𝟎
𝟑𝟎
𝒙 = 𝟏𝟓
8. What is it
The expressions which are not polynomials are called rational algebraic
when a variable is substituted with a number in a rational expression, it is called
evaluating rational algebraic expressions.
Algebraic expressions can be evaluated by
substituting the given value in each quantity or
variable and performing the indicated operation. With
grouping symbols, operations within the grouping
symbol must be performed first before the other
operations.
9. Example 1. Evaluate the following rational expression.
330
10𝑥
; 𝑤ℎ𝑒𝑟𝑒 x = 3
330
10 (2)
Substitute the value of x.
330
30
Perform indicated operation.
11 Answer
10. Example 2. Evaluate the following rational expression.
5𝑘
3𝑘2+4𝑚
; 𝑤ℎ𝑒𝑟𝑒 k = 2 and m = -1
5(2)
3(2)2+4(−1)
=
Substitute
the value
of k and
m.
10
3 4 + 4(−1)
=
Perform
operations
in the
grouping
symbols.
10
12 − 4
=
10
8
Reduce to
lowest
term.
÷
2
2
=
What is
common factor
of numerator
&
denominator?
5
4
12. Evaluate each algebraic expressions when x = 1 and y = -3. Find the letter of
your answer and put it inside the box to form one word .
𝟏.
𝒙 𝟐
𝟑
𝟐.
𝒙 + 𝒚
𝟐
3.
𝒚+𝟐
𝒙+𝟏 4.
𝟐𝒀2
𝒙+𝟏
B =
1
3
⋅ A = -1
T = -
1
𝟐
O = 9
M =
1
𝟓
R = 1
13. 𝟏.
𝒙 𝟐
𝟑
; where x = 1 and y = -3
𝒙 𝟐
𝟑
=
𝟏 𝟐
𝟑
=
𝟏
𝟑
2.
𝒙+𝒚
𝟐
; where x = 1 and y = -3
𝟏 + (−𝟑)
𝟐
=
−𝟐
𝟐
= −𝟏
3.
𝒚+𝟐
𝒙+𝟏
= −𝟑+𝟐
𝟏+𝟏
=
−𝟏
𝟐
4.
𝟐𝒚2
𝒙+𝟏
=
𝟐(−𝟑)2
𝟏 + 𝟏
= 𝟐(𝟗)
𝟐
=
𝟏𝟖
𝟐
= 𝟐
Solution:
14. Sino ako?
Bugtong.. Bugtong..
Tagapamayapa ng sambayanan
May silbato at baril na tangan
Ito’y aking trabaho noon
At isang mambabatas na ngayon
Sino ako?
B OA T
Ronald M. dela Rosa, also known as
Bato, is a Filipino politician and
retired Police General who is
currently serving as Senator of the
Philippines since 2019.
19. What I need to remember
In evaluating a rational algebraic expression,
make sure that the denominator will not be equal
to zero as it will lead to “undefined”. Recall
the definition of rational algebraic
expressions.