Writing Algebraic Expressions

Writing Algebraic Expressions Algebraic expressions are the phrases used in algebra to combine one or more variables (represented by letters), constants, and the operational ( - x / ) symbols.  Algebraic expressions, however, dont have an equals () sign. When working in algebra, you will need to change words and phrases into some form of mathematical language. For instance, think about the word sum. What comes to your mind? Usually, when we hear the word sum, we think of addition or the total of adding numbers. When you have gone grocery shopping, you get a receipt with the sum of your grocery bill. The prices have been added together to give you the sum. In algebra, when you hear the sum of 35 and n we know it refers to addition and we think 35 n. Lets try a few phrases and turn them into algebraic expressions for addition. Testing Knowledge of Mathematical Phrasing for Addition Use the following questions and answers to help your student learn the correct way to formulate Algebraic expressions based on mathematical phrasing: Question: Write seven plus n as an Algebraic expression.Answer: 7 nQuestion: What Algebraic expression is used to mean add seven and n.Answer: 7 nQuestion: What expression is used to mean a number increased by eight.Answer: n 8 or 8 nQuestion: Write an expression for the sum of a number and 22.  Answer: n 22 or 22 n As you can tell, all of the questions above deal with Algebraic expressions that deal with the addition  of numbers - remember to think addition when you hear or read the words add, plus, increase or sum, as the resulting Algebraic expression will require the addition sign (). Understanding Algebraic Expressions with Subtraction Unlike with  addition  expressions, when we hear words that refer to subtraction, the order of numbers cannot be changed. Remember 47 and 74 will result in the same answer but 4-7 and 7-4 in subtraction do not have the same results. Lets try a few phrases and turn them into algebraic expressions for subtraction: Question: Write seven less n as an Algebraic expression.Answer: 7 - nQuestion: What expression can be used to represent eight minus n?Answer: 8 - nQuestion: Write a number decreased by 11 as an Algebraic expression.Answer: n - 11 (You cant change the order.)Question: How can you express the expression two times the difference between n and five?Answer: 2 (n-5) Remember to think subtraction when you hear or read the following: minus, less, decrease, diminished by or difference. Subtraction tends to  cause students greater difficulty than addition, so its important to be sure to refer these terms of subtraction to ensure students understand. Other Forms of Algebraic Expressions Multiplication, division, exponentials, and parentheticals are all part of the ways in which Algebraic expressions function, all of which follow an order of operations when presented together. This order then defines the manner in which students solve the equation to get variables to one side of the equals sign and only real numbers on the other side. Like with addition and subtraction, each of these other forms of value manipulation come with their own terms that help identify which type of operation their Algebraic expression is performing - words like times and multiplied by trigger multiplication while words like over, divided by, and split into equal groups denote division expressions. Once students learn these four basic forms of Algebraic expressions, they can then begin to form expressions that contain exponentials (a number multiplied by itself a designated number of times) and parentheticals (Algebraic phrases which must be solved before performing the next function in the phrase). An example of an exponential expression with parentheticals would be 2x​2 2(x-2).

Art Criticism Essay Example | Topics and Well Written Essays - 1000 words

Art Criticism - Essay Example The recent cleaning of this painting is what ignited the interest of those who made the Constable exhibition possible. (3) The White Horse is an oil painting of a landscape of a cottage and its grounds, with a white horse as its focal point. The horse is harnessed and standing in the corner of a fence which is a prison him. Wanting to be free, in its stillness, the horse illustrates a contrast against the movement shown by the rest of the painting. Pulling the viewer into the scene are the paintings rounded forms, especially, in its trees and foliage. The energy depicted in the painting makes it not only have a harmonious feel but excitement as well. "Toward the end of his life, in the 1830s, Constable's art became more emotionally charged. He increasingly regarded the sky as 'the chief organ of sentiment' in landscape painting, and very likely looked to his cloud studies more for their expressiveness, than for their empirical or scientific content."(4) Constable often used paper rather than canvas to paint upon because it dried faster and allowed him to more freely express his emotions. It is the energy of his paintings that pulls me into them, while drawing forth the excitement of my emotions. Van Gogh's painting, The Olive Orchard, a 28 by 36 oil painting, is much smaller in size than the size of Constable's paintings. However, the sky in The Olive Garden has the same energy as that depicted in the skies paintings by Constable. Constable, like Van Gogh, was a lover of pastoral settings, and there is something about the combination of their subjects; animals and nature, that presents the romantic sides of their natures. It is through the pastoral theme in their paintings that I'm drawn away from the excitement of them, to a calmer side of myself. Prior to being exhibited in the Royal Academy of Art, The White Horse was part of the estate of Peter A.B. Widener. Later, it became a part of the Widener Collection on loan to the academy. (5) Other works in the Constable exhibition include The Hay Wain (1820-1821), View on the Stour near Dedham (1822), The Leaping Horse (1825), and Hadleigh Castle (1829). There are six paintings by Van Gogh in the gallery's permanent collection. Among them is The Olive Orchard, which is a 28 by 36 oil painting. Its size is much smaller than that of Constable's paintings. Yet, in many ways, their paintings are alike. The subjects in The Olive Orchard, two young women on a ladder, picking olives from an olive tree, like the subjects in Constable's pastoral scenes are similar. They act as contrasts against the energy of the skies both painters depict in their works. The Olive Orchard painting was completed in 1889, and is now a part of the gallery's permanent collection. The gallery also has in its permanent collec

Spyware and Adware Essay Example | Topics and Well Written Essays - 1000 words

Spyware and Adware - Essay Example They can enter the computer through ports or by downloading freeware software or any game from the internet (Michael 2010). For the safe working of the computer it is very necessary that the computer has some antidotes for such malicious soft wares and viruses. Because these malwares and viruses are very harmful for your computer as it can completely make your computer useless. Many anti-spyware soft wares, antivirus soft wares, firewalls are easily available on the market. But here a question arise, which software to choose for the better and complete protection of the computer? The two most commonly available soft wares are antivirus software and firewall. Firewall is software that runs on your computer and provides you with first hand protection. It controls and manages all the network traffic and clearly monitors which data is to be forwarded and which not. This action will be performed according to a set of predefined instructions. A firewall will stop all internet traffic from unauthorized sources; it will even block your internet connection first and will allow access to only a limited number of trusted sites. However, slips can occur at a port and then your computer will be at a risk if you do not have any further protection on your computer (Elizabeth 2010). On the other hand antivirus software is software that scans the computer for any viruses, hackers or malicious soft wares such as Trojans and worms and removes it from the computer. It will alert you if you are downloading any free ware software, games, songs or videos or opening a website containing a virus. It will tell you to immediately terminate your activity and will then run a check and remove the virus (Gordano 2012). A firewall can only protect you from hackers and some malicious soft wares or any other internet traffic entering from the port. However it will not be able to protect your computer if any malware manages to enter the computer or any virus enters the computer through downloade d software or game. An antivirus is very necessary for your computer so that it can scan through your hard disk and computer and detect any malware and virus. A malware or a virus can enter your computer through a USB or a CD; it can enter the computer through a downloaded software or game as well. If the virus enters this way a firewall alone cannot manage to remove the virus or malware. However, the antivirus software can alone manage to remove the viruses and malicious software no matter by what means the virus or the malware enters the computer. However, for the complete protection of your computer it is recommended that you have both firewall as well as antivirus software (www.antivirusfirewallsoftware.org 2007) Task2 For people who are new to using computer, they are generally unaware of the different soft wares and facilities that are available for the protection and increased efficiency of the computer. A new comer is also unaware of the threats to which a computer is liable and the extent to which a computer can suffer due to a virus or a malware. He can use a computer without installing any protection software and can cause the computer to hang or even the computer can get into a condition in which it becomes completely useless. Therefore it is necessary that when you are new to using a computer you get help and guidelines from an expert or at least the one who has been using a computer from a quite a lot of time about all the needs of a computer, the threats that a computer can face and the various solutions

A critical perspective on branding, concerned with issues in practical Essay

A critical perspective on branding, concerned with issues in practical application of branding practices - Essay Example Lury (2004) also adds that employees form a core part of brand promotion in any company; large businesses use employees as mediums to promote their brands not only to external potential customers but also to the existing and potential internal customers. A reflective analysis on the impact of branding on employees and organizations has been undertaken in the present context. Working with a large and influential brand is usually regarded as an example of prestige and privilege. One such brand is the HSBC bank that will be studied for its efforts to enhance brand image in this analysis. Drawing points from Dr. Brannan’s teachings from the theme titled, ‘Branding: Being 'you' inside and outside the organisation,’ likeliness of impact of branding on employees will be assessed against literature propositions. This analysis will specifically focus on Warhurst and Nickson’s (2009) perspective of employees’ position in branding efforts, which is a mere objec t of brand personification in order to please customers and stakeholders. In this process, an attempt will be made to understand how branding impacts employees’ place and meaning in organizations by relating to personal experiences. Important findings from literature will be evaluated along with identification of some critical reviews of management specialists. These evaluations will be helpful in explaining practical positions held by individuals in organizations with respect to brand promotions based on personal experiences. Important conclusions will be subsequently highlighted. 2. Working at HSBC: About HSBC: HSBC Bank is multinational bank setup in more than 80 countries and has over 7200 offices with more than 287,000 employees. HSBC bank provides the widest range of financial services to over 89 million customers across the globe. Its services are in retail banking, personal financial services, commercial banking and markets, and global private banking (HSBC history, n .d). Working as a back-office executive at HSBC bank is perceived as a prestigious position owing to its brand value besides its size and strength. This brand is considered as one of the greatest success stories in modern marketing, according to the bank’s website. HSBC was ranked number one financial services in 2011 in one of the surveys and its brand value is estimated to be worth $ 27.1 (Advertising, 2012). The HSBC brand: Globally, all HSBC offices and businesses follow certain common practices, which, they believe, reinforce their brand. One such practice that reinforces brand image and corporate reputation through certain regulations is its ‘core standards of behaviour,’ based on integrity, trust and excellent customer service; these standards facilitate building HSBC’s reputation, keeping different units united, in making them unique and earning them the competitive edge in the market. These core standards define certain behavioural components for all employees towards active listening, understanding, freedom to deliver, integrity, straightforwardness, forward thinking, and teamwork (Employee Handbook, 2008). Like many other far-fledged businesses and corporate sector firms, HSBC’s brand image is emphasized in almost every aspect that is visible to its internal and external customers. Its brand image also reflects in its choice of aesthetics in terms of interiors, logo design and color as well as in its rules for employee etiquettes. For instance, its slogan, ‘The World’s Local Bank,’ actually depicts HSBC’s mission of making its presence felt in every country and region by offering diverse and customized

Application Assignment Example | Topics and Well Written Essays - 250 words

Application - Assignment Example The purpose of this training was to make the employees aware of the attributes of the product that had been introduced and how this coffee was different than the other items offered. Once the training was conducted, employees’ performance was evaluated and the findings were reported to the head office in a report format with graphical representations encompassing qualitative and quantitative findings. The primary purpose of communicating these findings was to ensure that management is aware of the current skills level of the employees working at that particular store. For store-based, performance evaluation at the year-end and justification of the training costs, reporting these findings was essential. The findings were sent to the head office addressing Human Resource Manager. Data was also sent in the form of tables i.e. excel sheets, so that this data can be used later for further quantitative evaluations at the year end. Timing of the communication and evaluation of the training is of fundamental importance at Starbucks. Since the training was conducted before the launch of new coffee, it was important to demonstrate that the employees are well-versed with the attributes of the product being offered. Secondly, the training was conducted near year-end which is also the time of performance appraisals. Therefore, for budget and expenditure analysis along with store performance a ppraisal, it was important t communicate the data at that particular time i.e. June, 2012. Also, there is a strict deadline that store managers have to follow for communicating these evaluation findings which is usually two weeks after conducting the trainings (Russ-Eft & Preskill, 2009). The report formed is usually a comparison between pre-training tests and post-training tests along with random interviews conducted by store managers for performance evaluation. This comparison helps in analyzing

As a consultancy group of 2 members you have been commissioned to Essay

As a consultancy group of 2 members you have been commissioned to present your findings on how motivation of employees may be different in the public sector - Essay Example Maslow’s Hierarchy of Needs Theory emphasize that each person has five (5) basic needs, which are (PLS 500, page 6): 1)Physiological needs (hunger, thirst, shelter and other bodily needs); 2) safety needs that includes security and protection; 3) social needs which encompasses affection, acceptance and a sense of belongingness; 4) esteem needs which are self-respect, recognition and achievement and; 5) self actualization where an individual becomes his ultimate self through his own capabilities. Each need within the hierarchy should be satisfied before being able to say that he or she is actually contented with what he or she became. To relate motivation of employees with the preceding statements, it is essential to remember that the hierarchy of needs is not sufficient to drive a certain individual to reach his goals in life. Often, most motivating factors stem out of one’s culture and beliefs, which when taken generally is not the same baseline for everybody. Taking this into consideration, motivation in the workplace is affected by several variables which cannot be controlled by the individual to suit his wants and goals. These variables or outside factors are: 1) Ability, 2) leadership, 3) organizational culture, 4) technologies and 5) institutional constraints (PLS 500, page 6). As in any workplace or company that employs a number of people who may have similar or dissimilar goals, it is significant to note that these external factors may cause complication that would hinder or limit one’s ability to actually accomplish a desired objective. Reinforcement theory is the balance between performance and pay. In a review done by James Perry, et al. an organization’s desire to increase productivity and outcome will depend greatly on the monetary rewards that are to be given to an employee who has

Global food issue Research Paper Example | Topics and Well Written Essays - 2500 words

Global food issue - Research Paper Example ad cow disease, H5N1, H7N9, Norovirus Salmonella, Clostridium perfringens, Campylobacter spp., and Staphylococcus aureus, among many others (â€Å"Avian Influenza†; â€Å"Foodborne Illness†; â€Å"Questions and Answers†). Kuchenmà ¼ller et al. supported the World Health Organization (WHO) Initiative of understanding the morbidity and mortality effects of international foodborne diseases and they noted that the latter have become an increasing global burden because of the complexity of understanding their concepts (i.e. concepts of food safety and risk assessment of biological hazards), causes, and pathways and finding appropriate immediate and long-term solutions. The paper defines food safety and risk management of food safety, identifies problems in the monitoring and determination of problem-response paths of the national and global food system, proposes solutions to improve it, and handles objections to the solutions. The current weaknesses in national autho rity and lack of multilateral agreements and effective international mechanisms that ensure and respond to issues of global food safety endanger consumers who access the global food system, so these agreements and improvements in international and national capacities are fundamental to increasing food safety. There is no single definition of food safety, even among international healthcare organizations that deal with it, so it is important to define it to identify emerging issues connected to it and to find different measures and strategies in managing it in the global food supply chain system. International and national healthcare organizations do not offer an exact definition of food safety, although they underscore its importance to the health and the integrity of the international food system (â€Å"Foodborne Illness†; â€Å"Questions and Answers†). Food safety, as a concept, is generally connected to food quality and security. In particular, it includes â€Å"the conditions and practices that preserve the