Solve each inequality. Graph your solutions.
13. w + 3 > 9
W + 3 – 3 > 9 – 3
W > 6
15. -4 < t + 8
-4 – 8 < t + 8 – 8
t > -12
17. 22.3 ≤ 13.7 + h
22.3 – 13.7 ≤ 13.7 – 13.7 + h
h ≥ 8.6
19. You have at most $15.00 to spend. You want to buy a used CD that costs $4.25. Write and solve an inequality to find the possible additional amounts you can spend. a = Additional funds you can spend.

33. 4 + x2 > 2x
4 + x2 × 2 > 2x × 2
4 + x - x > 4x – x
43 > 3x3
1.33 > x

35. 13.5a + 7.4 ≤ 85.7
13.5a + 7.4 – 7.4 ≤ 85.7 – 7.4
13.5a13.5 ≤ 78.313.5
a ≤ 5.8
37. A salesperson earns $200 per week plus a commission equal to 4% of her sales. This week her goal is to earn no less than $450. Write and solve an inequality to find the amount of sales she must have to reach her goal.

200 + .04s ≥ 450
200 – 200 + .04s ≥ 450 -200
.04s.04 ≥ 250.04
s ≥ $6,250
41. Suppose U = {1, 2, 3, 4, 5, 6, 7, 8} and B = {2, 4, 6, 8}. What is B’? B’ = {1, 3, 5, 7}
Solve each compound inequality.
43. 0 < -8b ≥ -6.3
0-8 < -8b-8 ≥ -6.3-8
0 > b ≤ .7875

45. 5m < -10 or 3m > 9
5m5 < -105 or 3m3 > 93
m < 2 or m > 9

47. 9.1 > 1.4p ≥ -6.3
9.11.4 > 1.4p1.4 ≥ -6.31.4
6.5 > p ≥ -4.5
Solve each equation or inequality. If there is no solution, write no solution. 49. |y| = 3
y = 3, -3
51. 4 + |r + 2| = 7
r = 1, -5
53. |5x| ≤ 15
No solution.
55. |2x – 7| - 1 > 0
No solution.

57. The ideal length of a certain nail is 20mm. The actual length can vary from the ideal by at most 0.4mm. Find the range of acceptable lengths of the nail.
a =...

...Name: __________________________________________
Algebra Keystone Exam Review
1)
Simplify the expression:
√
√
√
√
A)
√
B)
√
C)
√
D)
A right triangle has one leg that is twice the length of the other leg. If the hypotenuse is √ ,
find the length of the longer leg.
2)
A)
8
B)
16
C)
4
D)
32
3)
Which statement has the largest value of x?
A)
√
B)
√
C)
√
√
D)
√
√
4)
Simplify:
( √ )
A)
B)
C)
27
D)
54
√
√
5)
What is
subtracted from
?
A)
B)
C)
D)
What is the value of ( )
6)
A)
B)
C)
D)
7)
What is a factor of the trinomial
A) (x - 24)
B) (x – 8)
C) (x + 8)
D) (x – 5)
8)
What is a factor of the trinomial
A) (x + 10)
B) (x – 90)
C) (x + 90)
D) (x – 10)
9)
Simplify:
A)
B)
C)
D)
(
(
)(
)(
)
)
when
?
10)
Simplify:
A)
B)
C)
(
)(
)
D) Cannot be Simplified
11)
A park charges rental fees of $5 per x adult and $3 per y child. The Smith family had a
family reunion there and was charged $134 for their 32 family members that attended. The
system of equations shown below represents this situation.
Which statement is true?
A) More adults attended the reunion than children.
B) Six more children attended than adults.
C) Nineteen children attended the reunion.
D) Three more adults attended than children.
12)
A)
B)
C)
D)...

...
Name: _________________________
Score: ______ / ______
AlgebraI Quarter 1 Exam
Answer the questions below. Make sure to show your work when applicable.
Solve the absolute value equation. Check your solutions.
| 5x + 13| = –7
5x + 13 = -7
5x = -20
X = -4
Simplify the expression below.
6n2 - 5n2 + 7n2
6 – 5 + 7 = 8
=8n2
The total cost for 8 bracelets, including shipping was $54. The shipping charge was $6. Write an equation that models the cost of each bracelet.
8 x + 6 = 54 $8.00 each bracelets
The total cost for 8 bracelets, including shipping was $54. The shipping charge was $6. Determine the cost for each bracelet. Show your work
8x+6 =54
8x=54-6
8x = 48
X = 6
Solve the inequality. Show your work.
6y – 8 ≤ 10
5. 6y – 8 ≤ 10
6y ≤ 10 +8
6y ≤ 18
y ≤ 18/6
=y ≤ 3
The figures above are similar. Find the missing length. Show your work.
x = 1.8 in
What is 30% of 70? Show your work.
30 divied by100 = .30
70 times 0.3(30% as a decimal) which will be 21
=21
Simplify the expression below.
-5-8
(16x9)/(21x8)=144/168 divided by 12=12/14=6/7
8. 6/7
Which property is illustrated by 6 x 5 = 5 x 6?
commutative property of multiplication
Evaluate the expression for the given values of the variables. Show your work.
4t + 2u2 – u3; t = 2 and u = 1
4t + 2u2 – u3; t = 2 and u = 1
4 (2) + 2 (1) 2 – (1) 3
8 + 2 – 1 = 1...

...Basically I will be teaching u one aspect of algebra.
Algebra uses letters like a, band etc. algebra is like a puzzle. For example x(2) will be 2x.
There are many forms of algebra such as :
Introduction: The Ideas of Algebra
Lesson 0. Translating Words into Math Symbols
Lesson 1. Simple Operations
Lesson 2. Exponents and Powers
Lesson 3. Order of Operations
Lesson 4. Variables and Expressions
Lesson 5. Working With Negative Numbers
Lesson 6. Solving Equations Using Properties of Mathematics
ChapterReviewChapter Test
Chapter 2: Working with Rational Numbers
Lesson 1. Integers and the Number Line
Lesson 2. Absolute Value
Lesson 3. Rational Numbers
Lesson 4. Adding Rational Numbers
Lesson 5. Subtracting Rational Numbers
Lesson 6. Multiplying Rational Numbers
Lesson 7. Distributive Property
Lesson 8. Combining Like Terms
Lesson 9. Dividing Rational Numbers
Lesson 10. Formulas
ChapterReviewChapter Test
Chapter 3: Solving Equations
Lesson 1. Solving Equations with Addition and Subtraction
Lesson 2. Solving Equations with Multiplication and Division
Lesson 3. Solving Multi-Step Equations
Lesson 4. Solving Equations with Variables on Both Sides of the Equation
Lesson 5. Equations with More than One Variable
Lesson 6. Formulas
Chapter...

...Review Questions ChapterI
1. Why do we study ethics?
Morality or ethics is one of the main subjects of philosophy, which focuses on the morality of human society. Delineate what is right and what is wrong. If it is easy to explain what ethics means to be separated from the good from the bad, why we should learn about ethics because learning ethical action is right or wrong according to society, culture and traditions of happiness?
2. Why should we be concerned about doing “the right thing”?
Doing the right thing is to make a social convention by which people in society recognize the need and the peace of society, free from bias and corruption to society.
3. If each of us has a unique set of influences and values that contribute to our personal value system, how can that are applied to a community as a whole?
The Personal Values to social participation is difficult, if our thinking is not good enough, and contrary to social ethics. But it's not that impossible, if we know how to convince people in the society and present the advantages and disadvantages that will be followed for everyone to learn our thoughts may be influenced by a small group to big society is not difficult.
4. Is it unrealistic to expect others to live by the Golden Rule?
Which we have moral, ethical, and with others person, it cannot guarantee that other parties will perform as well as we do the right thing always. Thus, we must adhere to...

...
CHAPTERI
INTRODUCTION
This chapter presents the background of the study, statement of the problem, significance of the study, hypothesis, scope and limitations of the study, and definition of terms.
BACKGROUND OF THE STUDY
Knowing the economic condition of the beneficiaries’ before the program could determine how much improvements were achieved by the respondents as the 4Ps come into their lives. Thru looking in the comparison of the economic status of the beneficiaries in two separate times, progress therefore could be specified and directly measured in terms of the changes the beneficiaries have achieved after the effect of the program.
The real scenarios before the coming of the program in the world of the poor beneficiaries was really a tragedy in the first glimpse but for them those scenes were just very ordinary as they appear in a daily basis. Feeling the pitiful conditions of most Filipinos who belonged to the poorest of the poor life state was a great pinch to the heart of an observer. By looking on the factual evidences, prior to the implementation of 4Ps one could then realized how much progress was obtained and how much had been contributed by the program to the intended beneficiaries. The quality of life and living of every Filipino citizen within the poorest economic state suggest that these must be an action of the government to at least ease the extreme difficulty they have felt. 4Ps...

...CHAPTER
Business Communication:
Creating and Delivering
Messages That Matter
IN REVIEW
LO1
communication
The transmission of information between a sender
and a recipient. (p. 17)
encoding
The act of putting a message in terms that are
understandable to others. (p. 17)
communication channels
The various ways in which a message can be sent,
ranging from one-on-one in-person messages to
Internet message boards. (p. 17)
LO1 Explain the importance of excellent business communication
Effective communication happens when relevant meaning is transmitted from the sender
to the receiver. Skillful communicators save time and money and develop deeper, more
trusting relationships with their colleagues. Anything that interferes with the correct transmission of your message is a barrier to communication. Barriers can be physical, verbal,
nonverbal, personal, cultural, perceptual, or organizational. To communicate effectively,
you should be able to identify and surmount any barriers that stand between you and your
audience. The result? Greater long-term success in every aspect of business.
The Communication Process
decoding
The receiver putting a message in terms that she or
he can understand. (p. 17)
2
Sender
feedback
How the receiver responds to a message.
(p. 17)
Encoding
Communication
Channel
Decoding
Receiver
Noise – Communication Barriers
noise
Any interference that causes the message you send
to be different from the message your...

...ChapterI
INTRODUCTION
Rationale Study
An Online Buy and Sell has technical advantages aspect in the world of internet, including the design, advertising, and selling. It is being used now by many people, including those people who use internet in their daily lifestyle. Online Buy and Sell makes a big contribution in terms of advertising and producing more sale to its users. Providing services and endorsing is one of the main goal of Online Buy and Sell. As the technology charges, many people are still adapting techniques to produce more revenue. A lot of people are into online selling because of several reasons. One of these is that online selling reduces the operational cost since the transactions are done in the web. It automates the checkout, billing, payments, and other operational processes. Online system is available anytime, anywhere, thus it increase the traffic for the website. As for the customers they can choose the item they want anytime.
Internet has done amazing things in innovating human life. The internet is known for communicating or meeting place of people around the world giving them a chance to get close together. One of the things people can do in the world of internet is to go shopping without going out of their house. Just connect to the internet people can explore the shopping world hassle free and less effort in going to the store.
To shop on the internet has become an alternative for consumers since it is more...

...ChapterI
INTRODUCTION
Background of the Study
Computerization is a control system that manages processes in industrial workplace. It reduces human errors and processing time, thus it can boost productivity and result into high quality of product produced. In Information System, computerization is concerned about interrelating different but interdependent transactions. This can result in a system with well-integrated processes that can perform faster and more accurate than a manual system.
Enrollment is the process of entering and verifying data of student to register on a particular school. Different interrelated processes build up enrollment procedures called Enrollment System. Enrollment Systems (ES) are used particularly in recording and retrieving student’s information. Tracking student’s information is also one feature of ES, in which the school can trace the standing of a student. Enrollment System is a good example of a computer generated process.
The Computerized Enrollment and Student Record System that the researchers have proposed is for the school, Philippine Scholastic Academy. It was established at August 7, 1917 under the name of Quiapo Anglo Chinese School at Echague, Quiapo Manila. In 1924, the Quiapo Anglo became an extension of Chinese National School in Binondo. The school had its formal opening in a building at Villalobos St. in Quiapo in July, 1945. Due to an order from the Ministry of Education Culture and...

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