What Does The Test Qualification Requirement Of A Princeton Review Tutoring Job Require?

What Does The Test Qualification Requirement Of A Princeton Review Tutoring Job Require?Many Princeton Review tutoring jobs require the student to have some form of certification. Tutoring school's will often offer a test, or several tests as part of the tutoring program, to measure student knowledge.All students should take a test when applying for a job at a top review tutoring school. Most companies use a test that measures something of value to the employer - if students do not get good grades on the test, they will not be hired.A standardized test is a common requirement for any type of employment at a review tutoring school. It is very important to do well on a test because it allows companies to know that the student has tested well, as well as show the employer that they are likely to pass a tutoring job, and provide solid proof of a student's ability. It can be confusing to see which test to take, because some cover a lot of ground while others do not give much information.A nother good reason to take a test is because it provides companies with a reference from a previous student. If a student does not perform well on a test, it is easy to look back and see if the student has taken tests that they did not do well on. This shows the hiring company that the student has shown potential. It is not wise to take any test before going to the school.There are a number of websites that offer free tests that can be taken online, and some college testing services offer free testing in the spring semester. These tests can help the person that takes them know how well they are doing, and this is often helpful when applying for a job at a top tutoring school. Taking the test on a college website can help by providing the student with a campus directory that will help them find their classes and other information that is needed to be confident about their application.Many students find a tutor to test with to be helpful, and this could be the place where the student will first interview to find out if they would like to be in the tutoring program. It is important to take a test to find out if you qualify for a job, and a tutor can help with this test.The SAT or ACT test is an important part of test requirements for top review tutoring jobs. The SAT or ACT is a standardized test that will show companies whether or not a student's test is worth it. Testing at a college level allows the student to see how well they test in this type of environment, and how they compare to other students who have taken standardized tests like this.A top review tutoring program will help students understand test requirements and their test qualifications, and test qualification will be measured through test performance. Taking these tests before taking a tutoring job is beneficial to a student, as well as a potential employer.

Career Benefits of Interning Abroad

Career Benefits of Interning Abroad Image via Isorepublic.com Learning a second language It’s no secret that speaking two or more languages is extremely beneficial in the workplace. If you intern abroad in a country whose main language is not English, you will be forced to immerse yourself in another language. This kind of immersion is the best way to learn a new language, since you will constantly have to speak and read it (bonus points if you write it also). It’s a safe place to make mistakes, since you will have teachers and fellow students to help you, and you can help them, too! By the end of your trip, you will be much more proficient in this language than you were before. Learning a second language will allow you to communicate with a whole new set of people, and this will be attractive to potential employers or graduate schools. For this reason, learning a second language is a substantial career benefit you will gain when you intern abroad. Connections When you spend a few months in another place, you are bound to make connections there. You will interact with many people, such as fellow students, teachers, and locals that can serve as important connections. You never know if they can help you find a job or provide a recommendation letter in the future. Of course, you could do the same for them. Because interning abroad is such a bonding experience, it’s likely these connections with the people you meet during your journey will last a long time. The connections will be one of the most valuable parts of interning abroad. Plus, how cool is it to have a friend who lives on the other side of the world? It will give you something to talk about on applications or interviews Most jobs or graduate schools that you apply to want to know something that will make you stand out from the crowd. An experience abroad will definitely make you stand out among a pile of applicants! Not only does interning abroad make you seem like a more well-rounded candidate, but it will also give you many stories to tell. People love stories, and telling them a good story about your intern abroad journey (and how it has helped you grow as a person) will make you more memorable to them. If you are selected for an interview, be prepared with a good story to tell, as it is likely they will ask you about your experience if you mentioned it in your application. Hiring managers and graduate school admissions committees love memorable, well-rounded applicants, and interning abroad will definitely make you one! Personal growth Picking up your entire life and moving to a foreign country will cause you to grow like no other experience will. Interning abroad will require you to be independent in a country where things are much different than you are used to. Adjusting to these differences and managing your own life requires you to grow up. Still, it will be extremely satisfying to overcome these challenges and to know that you CAN do it. Clearly, interning abroad will present you with many challenges, but as you overcome them, you will grow. This growth will help you become a good employee or graduate student, and hiring/admissions committees know this. Problem-solving skills While we are on the subject of skills you gain when you intern abroad, let’s discuss problem-solving skills. As I mentioned before, you will likely encounter many challenges when you intern abroad, but you will also learn how to overcome these challenges and solve these problems. These problem-solving skills will help you when an issue comes up at work or at school, because you will know how to tackle it. Of course, hiring and admissions committees also love to hear that their applicants have good problem-solving skills. Learning how to work with others When you intern abroad, you will have to work together of people with different nationalities and who speak different languages. This experience will help you learn to find things in common with others, and to work in a team with them despite any “differences”. This will serve you well later in life, as you will encounter many kinds of people in your workplace or your graduate school. All in all, interning abroad will benefit your career in many ways.

Private Tutors can Motivate Students

Private Tutors can Motivate Students Tutors play a major role in motivating students. Not only in studies but motivation is also needed to bring energy within students to excel in any activity they perform. A simple appreciation can make students to boost their positive vibrations to do more number of good works. Private tutors should know the tactics to motivate students while teaching. Many raise a question of “why should I posses this quality of motivating?” The reason would be very simple that personal tutors provide individual attention to each student. You are the one who will be guiding students in studies, sports and many other helpful activities. We all know that each student is unique. Therefore we shall see different types of students and tips for motivating them to do extremely well in their career. Type 1: Stressed Students First of all know the age of student who is suffering from stress. If he/she is studying in high school, then talk to them in friendly manner to understand the reason for their stress. Many students get hyper-tension because of home works, assignments, lots of writing work, math problems etc. Tips to Motivate Them: As private tutors find out their capability of doing things. Give them information and guidelines to finish the home work successfully. Gradually make them to increase the speed in doing assignments. Type 2: Annoyed Students Angry students will make many mistakes. They will be restless and scold their friends, neighbors. Sometimes, this will lead to fights among them. Tips to Motivate Them: Teach some meditation tips to those angry students. Make them follow the meditation regularly. Say some positive or encouraging stories. Make them to do physical exercises. All these tips will surely be a motivating factor for them. Type 3: Talkative Students These type of students are little funny to handle. Usually talkative children are called chatterbox. Very chatty child will keep on talk about nothing. Tips to Motivate Them: To be a tutor for talkative child is really a different experience. You should make those students to tell stories, poems, and subjects they learn. Make them read interesting stories so that they can narrate it to others. Thus the students will get out of stage fear and attain boldness. Type 4: Moderate Students Moderate students are average/good students who get border pass grades in subjects. Tips to Motivate Them: Analyze their difficult subjects and teach them. Give chances for students to ask doubts. This will help in interactive tutoring. Track the progress of students periodically to move further. Surely students will gain positive energy when they are pampered in studies. Type5: Disabled Students Disabled students are NOT mentally retarded students. They need little extra care to perform their daily duties. Tips to Motivate Them: Say real time stories to face the challenges. Make them identify their role models to come up in life. Make them enthusiastic to learn subjects. Teach them how to overcome the difficulties they face in life. Type 6: Panic Students Some students may fear for exams. They will not sleep properly because of exam fear. Tips to Motivate Them: These students should be trained to get confidence. Teach the difficult subjects and give more practical home works which will bring confidence in them. Thus it is the duty of private tutors to motivate students to make them stand first in competition.

Abiding in a Highly Suited Career As an Adjunct Tutor

Abiding in a Highly Suited Career As an Adjunct TutorIf you are looking for a job as an avid tutor, you may want to consider the excellent job opportunities available in the Minneapolis area. If you plan on becoming an avid tutor, there are several aspects to consider when choosing a city to live in. Following are some of the top considerations:The first step to become an avid tutor is completing your high school diploma. This will provide you the information necessary to get a teaching degree from a great university. You should make a concerted effort to obtain a teaching degree from a nationally recognized university. In addition, it will also allow you to gain knowledge about the job market in this particular field.Experience is important. A great advantage of becoming an avid tutor is that they typically begin their careers right after they complete their high school education. You can find hundreds of great programs throughout the country. This means that you will be able to cho ose a school that is the best fit for your interests and requirements. However, don't let the process seem too simple.Another important factor to consider is the salary. Teachers who become proficient in the academic language often have great job opportunities. You will need to look at the current salary ranges for teachers and those of similar experiences. While you are living in Minneapolis, you can also take advantage of job fairs, college recruiters, job fairs and also online job searches. There are many sources that are available online so you can check out your options and make a choice as to where you would like to work.Being an avid tutor means having some involvement with several different areas. In addition to being a teacher, you will also be involved in many types of study groups and will need to learn how to communicate in other cultures. Learning to interact with other people can also be a major benefit of becoming an avid tutor. Many people enjoy socializing and being around people who they enjoy. Therefore, it is important to keep your active social life while working as a teacher. Also, it is important to note that this particular work environment can make you happier.Employability is an important consideration. It is important to make sure that you will be able to continue to earn a living while becoming an avid tutor. Some employers will require that you obtain at least some training prior to employment. With a little research, you can find several online institutions that offer experienced tutors the chance to complete their education and obtain a teaching degree.If you are considering becoming an avid tutor, Minneapolis is one of the most excellent job opportunities for this career. You will be able to pursue a life-long passion by learning to teach yourself.

Melenchon Indiana Heewon Choi

Melenchon Indiana Heewon ChoiThere are many different types of Chemistry Tutors from different countries, but only a few come with the same resources as the Melenchon Indiana Heewon Choi. This is one tutor who could easily learn all of the aspects of Chemistry, and if you were to visit the Melenchon Indiana Heewon Choi's room, you would be amazed at how much information he has learned from other tutors in other countries.The Melenchon Indiana Heewon Choi likes to interact with other tutors from other countries. Even the videos that they are learning in class is set up so that you could hear what the tutor was saying. When they want to change the course, they just click on the specific lesson they want to change it, and it is all recorded for their personal use.The Chemistry Tutors who has traveled from different countries shows that they really do have the passion and desire to educate people. As you can see, the Melenchon Indiana Heewon Choi is a great Chem and can give a good educa tion, and you will be surprised how much information he has gathered from the tutors who travel from around the world. If you choose the Melenchon Indiana Heewon Choi to be your Chemistry Tutor, you can see that they care about students and that they want to learn as much as possible so that they can go on to educate others.The Melenchon Indiana Heewon Choi is really passionate about Chemistry, and this is why he enjoys sharing his knowledge and teaching other people. When they first meet, they are really excited to meet a local teacher like the Melenchon Indiana Heewon Choi, because they see him as someone who will bring positive changes in their lives.The Melenchon Indiana Heewon Choi has a passion for teaching, and when he was younger, he had dreams of becoming a teacher, but this does not stop him from doing the best he can with his education and learning. He has the power of knowledge and how he learned how to do things with his Chemistry Classes from other tutors. This is why the Melenchon Indiana Heewon Choi loves to teach.Heewon Choi has been helping students of all ages improve their skills and knowledge in the different subjects for over 25 years. You can see that he is an active teacher in his classes, which could explain why he could understand the different needs of different students and help them improve their learning.The Melenchon Indiana Heewon Choi can really make a difference in the lives of students who are in a learning period and need a tutor. As you can see, this Chem tutor has made a very big impact on many students who could not speak English in their schools, and now they are able to learn without having to travel to another country to learn.

What Is The Best Way To Learn Piano?

What Is The Best Way To Learn Piano?When people ask the question what's the best way to learn piano and how does it work, the answer is Upswing Tutoring. This program focuses on teaching students how to play the piano without necessarily having a teacher at hand or having to worry about teaching them anything. A tutor will watch you playing, but you will not be taught.Upswing tutoring is all about giving you a unique opportunity to hone your skills. That is why, there are three ways to learn piano. The first one is called E-Learning and this is what most of us are used to. What is more innovative in Upswing Tutoring is the advanced stage called Educational Recording.In Educational Recording, you are given a CD or DVD of your own doing. You just have to put the CD or DVD into your computer and then you can start to learn from yourself. It is just like being with your teacher.After studying Upswing Tutoring, you can continue it on your own. Then you may decide to continue to use Upswin g tutoring with a student who has chosen to participate in Upswing Tutoring. Also, if you have mastered some piece of music, you can also start to perform it. You can make it a live performance and invite other people to come and listen.To study and work at Upswing tutoring, you need to set aside a period of time every day to work on it. It is also helpful to set aside a place to practice when you are working on it. One good thing is that, there is no limit to how much you want to learn. You may need the whole day or only for an hour every other day.The right type of help is also important. Those who are determined to learn how to play the piano without teachers and the right method, may find Upswing Tutoring the right solution. The right kind of help will make your learning experience more enjoyable and also you will find the discipline to stick to it.Learning to play the piano is a rewarding experience. You will get a lot of enjoyment out of it and you will have fun with yourself while learning how to play the piano.

How Can You Certify Your Dutch Language Skills

How Can You Certify Your Dutch Language Skills How to Prove You Can Speak Dutch ChaptersThe Case for Learning DutchWhere Can You Take Dutch Classes?Official Language Exams for DutchObviously, if you opened your mouth and started spouting about bitterballen and Hollanse Nieuwe Haring â€" or other traditional Dutch foods in the language of Amsterdam, most people would be convinced that you have a good grasp of Dutch.University administrators might not be so keen to permit your enrolment in their Dutch language programme simply based on your holding forth in that tongue, though... they need actual credentials from a qualified examining board.Where can you get them, now that Dutch A-Levels have been withdrawn?And, are there any Dutch language programmes to major in at any of our universities anymore?That is the topic your Superprof broaches today. Not just the dwindling avenues to certify your Dutch language skills in our country but the fact that, globally, Dutch is rapidly becoming a minor language, a fact that serves nobody well.Least of all avid Dutch speakers l ike you!the most-spoken languages of the world, nor is it widely studied.Furthermore, if you were to seek higher education in the Netherlands, you might be pleasantly surprised to find a multitude of undergraduate and graduate programs conducted entirely in English.And, should you plan on relocating, say, to Utrecht or Rotterdam, you might be able to get by using just your English language skills as more than 80% of the natives can competently converse in English...But none of that does anything for anyone who wishes to gain fundamental knowledge of that centuries-old culture!Fact is, there are many reasons to learn Dutch, some fun and others seriously beneficial â€" besides all of the reasons that tongue enticed you to learn it.Like you, we mourn the dwindling opportunities to study it in-depth in the UK. To that end, we now list where you could find qualified instruction in Dutch vocabulary and grammar.Where Can You Take Dutch Classes?We’ll just get the sad truth about Dutch lan guage studies in our country out of the way right now: every certifying avenue, from GCSE and A-Levels to university degrees, have been withdrawn for 2 reasons:Lack of student interestLack of qualified teachers and examinersOne might put the lack of learners desiring to know this language down to English speakers' apathy toward studying languages in general â€" a sad state of affairs, really!On the other hand, you are living proof that not every Briton disdains to learn a second language, and there are surely more people who, like you, wish to communicate effectively in more than one language.So, perhaps a combination of those two factors mentioned above make for a veritable chicken-and-egg scenario.At least, that might have been the case 25 years ago, when the Internet was in its infancy!In those days, language scholars had no choice but to accept the learning opportunities immediately available to them, or else relocate to where there would be a broader range of choices.Today, tha nks to modern technology, you may study just about any language you could think of in a virtual classroom, Dutch included.In fact, several renowned institutes of higher learning on our island offer online classes in Dutch, the foremost one being University College London.All of their Dutch courses â€" beginner, intermediate and advanced are taught strictly online, on a one-to-one basis.As soon as you sign up for your language class, you will receive your login credentials via email. Once you’ve gained access to their learning portal, you may then avail yourself to your course materials and set your schedule.Each course lasts 12 weeks and you have the option of taking courses concurrently â€" for example, you may sign up for Beginner 1 and Beginner 2, in which case your course duration would be doubled.Their Advanced Dutch course lasts the same amount of time but requires either your completion of their intermediate course or certified Dutch language capability of at least B2 level on the CEFRL scale.Patience, dear Reader: we will soon get to these certifications and how to attain them!Didn't you learn Dutch so you could do more than run through tulip fields? Source: Pixabay Credit:Public Domain PicturesSuccessful completion of this advanced-level course will promote your language level to CEFRL C1... but you will have to test elsewhere to get your official certification.Incidentally, if you truly wish to dive head-first into the history and evolution of the language, you may sign up for their Early Modern Dutch course or, if you are more of an economic bent, their Business Dutch lessons might appeal to you.If these are the Dutch classes you’ve been looking for, you should rush to enrol in their January sessions; they are now accepting applications!Should you live in London, and if your days are already filled, you might be interested in the Dutch language learning programmes at the University of Westminster.These courses are not necessarily targeted toward any certification process; they are more conversational in nature, with their emphasis being more on speaking and listening.Furthermore, you won’t get to the meat of the language â€" grammatical structures and verb usage unless you sign up for the advanced course and, even then there is little focus on reading and writing in Dutch.Nevertheless, if you were looking for native speakers to test your pronunciation with and improve your language proficiency, these language courses might be a valuable review resource ahead of your certification exam.Sadly, this course is not offered online but, if you were looking for a native Dutch speaker for online language training and exam preparation, why not turn to Superprof?Superprof has more than 100 native Dutch speakers or who are English-Dutch bilingual to challenge your fluency and teach you all about the language and culture of the Netherlands.One look at our Dutch tutors’ page will reveal each tutor’s experience with giving Dutch la nguage lessons, attested by past students’ testimonials. You will also see, at a glance, how much each tutor charges per hour of instruction and that most Superprof tutors give their first hour of lessons at no charge!For a learner preparing to take a language assessment test, a Superprof might be just your language study solution in the run-up to your certification exam!Now, your patience will be rewarded as we finally talk about the official exams that will certify your Dutch language skills!You may prove your Dutch language ability through one of three exams Source: Pixabay Credit: Ralf GervinkOfficial Language Exams for DutchThat’s not a typo, dear Reader!As opposed to CEFRLs in other European languages or the HSK, if you were learning Mandarin, there are in fact three separate language exams to prove your Dutch language ability; each accords to a specific set of circumstances.The Inburgeringsexamen is designed for anyone wishing to immigrate to the Netherlands.Such hopefuls must sit a preliminary exam at the Dutch embassy in their home country. The actual measure of one’s language acquisition takes place in the Netherlands, and only if the linguist has the pre-examination results in-hand.A measure of controversy surrounds this particular foreign language exam; not the least of which is that even the average Dutch native speaker cannot pass the pre-exam!The second, more likely exam would be the Staatsexamen Nederlands; a two-tier placement test suitable for foreign students wishing to study in the Netherlands.Programme 1 corresponds to CEFRL’s B1 level of language capability; Programme 2 is more advanced.Should you hope to live and undergo an apprenticeship in Amsterdam, the first exam should be sufficient; enrolling in a university or working would demand Programme 2 certification.Finally, and overall the most comprehensive exam to prove your linguistic ability is the CNaVT: the Certificate of Dutch as a Foreign Language.It is offered in 4 tiers:P TIT: Tourist and informal language level corresponds to Level A2 on the CEFRL scalePMT: equal to the CEFRL B1 language proficiency testPTHO means those candidates are proficient at the professional or university level; CEFRL level B2PAT: Level C1; an academic’s knowledge of the language and cultureAs you might have been preparing to sit A-Levels, your best match likely would be PMT or PTHO.On the other hand, if you have truly been diligent in your language course, your level of competence may be even higher!Learning a language is a lifelong endeavour, as you surely know.Very few people undertake language instruction purely for the learning experience; most people study language with a specific purpose in mind: a love of the culture, more job opportunities, relocation and the like.As you, like most others, are likely purpose-driven in your studies, it stands to reason that you would want a means to legitimise your linguistics and, in the absence of any such vehicle in your home cou ntry, it would be logical to seek such outlets abroad.And now, you know where to find them!Now you should turn to this list of revision materials tailored to your aims!

Maths Help Understanding Maths Equations

Maths Help Understanding Maths Equations Learn Maths: How to Solving Equations ChaptersWhat is an Equation?Skills Needed to Solve Maths EquationsWhen do we Learn about Maths Equations?Solving a Linear EquationSolving a Factorised EquationMaths Equations with FractionsCreating Equations to Solve ProblemsMaths is often represented as a tricky topic â€" by both students and adults alike! However, this little loved subject forms a fundamental part of your education, and if you can master it, you’re well on your way to succeeding academically!For as long as you’re studying for qualifications (maths revision GCSE, A levels, degrees…) you won’t escape having to solve maths problems: starting from the basics of arithmetic, and then moving onto solving equations, algebra, geometry, and fractions problems!Later in your studies, your maths skills will let you adopt a problem-solving mindset and improve your mental faculties, helping you succeed at the task you’re completing, regardless of whether or not it’s directly related to maths!With all of this in mind, it’s time to revisit one of the key areas in maths that you’ll encounter time and time again: solving equations!With your calculator to hand and a little determination, you will make it to the end of this article on how to solve an equation. By the time we’re finished, amongst other things, you’ll be able to tackle your next maths problem with ease, whether it involves polynomials, linear equations, factoring or anything in between!Your maths teacher at school (or your private maths tutor) will give you the skills that will serve you every day, for the rest of your life.Here are some aspects that are key to adopting this problem-solving attitude:Being thoroughYou must be thorough and follow through with all the key steps when tackling a mathematical problem: particularly one including equations. When you find yourself faced with maths problems, or an exam, you must be precise, and act methodically and logically.Have a good memoryImprove your skills with maths worksheets! Pra ctise makes perfect! (Source: Pixabay)Mathematicians have to work with their memory! If you practise regularly, you’ll be able to make the link between the topics you’ve studied in class, and their application in solving a problem given to you. Tackling a variety of problems means something like a problem you’ve seen before is more likely to come up, and with your prior experience, it’ll be much easier to solve.Be organised!To solve an equation, you need to follow a set of stages. Being organised in your work environment, and your approach to problems, will allow you to overcome each maths problem put in front of you without panicking.When do we Learn about Maths Equations?During primary school, we learn how to count, and familiarise ourselves with mental maths. We start to add numbers, subtract them, and multiply them: the basics of arithmetic. We may even learn the basics of graphing - these teachings provide us with a foundation in mathematics, and the skills we will need to begin solving equations later on.Some exponential and quadratic equations can be solved by graphing (Source: Pexels)It’s usually in secondary school that linear equations slowly start to creep into the curriculum. In year 7, we learn to solve simple equations, normally with one unknown. Here’s an example of an equation you might tackle around this time: Here, you must find the unknown: ‘x’.By the time you get to year 8 and 9, fractions and negative numbers start appearing in equations: preparing you for GCSEs and A levels. The equations can now look something like this: At GCSE and A level, the calibre of maths problems increases, and you have to solve more complex equations, including systems of equations, by using a variety of techniques: completing the square, factoring, substitution, and finding the intercept on graphs - to name but a few! If you do some further study in maths at A level, you will also encounter topics like complex numbers.The types of problem don’ t stop there, though: if you decide to study a maths or science degree at university, you’ll meet even more difficult problems!Sometimes you will encounter one step equations, and you might be able to solve some of the equations below like this, but you’ll often encounter trickier multi-step equations which will test your knowledge of several mathematical areas: perhaps your graphing calculator knowledge, your knowledge of slopes, or how to solve simultaneous equations by elimination or substitution! MyriamMaths Teacher 5.00 (13) £20/h1st lesson free!Discover all our tutors MarkMaths Teacher 5.00 (5) £200/h1st lesson free!Discover all our tutors Dr parikhMaths Teacher 5.00 (8) £40/h1st lesson free!Discover all our tutors KamalMaths Teacher 5.00 (9) £30/h1st lesson free!Discover all our tutors PetarMaths Teacher 5.00 (8) £40/h1st lesson free!Discover all our tutors GowsikaMaths Teacher 5.00 (5) £15/h1st lesson free!Discover all our tutors RubenMaths Teacher 5.00 (1) £15/h1st lesson free!Discover all our tutors ConorMaths Teacher 4.75 (4) £30/h1st lesson free!Discover all our tutorsSolving a Linear EquationLinear equations are likely the first type of equation you’ll encounter during your studies, and are usually the easiest to solve.Essentially, solving a linear equation only requires the four kinds of calculation we’ve been familiar with since primary school: addition, subtraction, multiplication and division.If you want to solve a linear equation with one unknown, your goal is simple: you must find the value of ‘x’. This is usually called “solving for 'x'” in maths lingo.For a simple equation, you can take the following steps: • Isolate the unknown (usually ‘x’) on one side of the equation • Group any common terms together • Divide through so that any coefficients of ‘x’ are removed • State your solutionTo give you an example, here are the steps you would take for the equation... Moving 'x' onto one side of the equation: ‘x’ has been isolated on one side of the equationWe’ve grouped common terms together - this is known as collecting like termsWe’ve removed the coefficient of ‘x’ by dividing both sides by 4.Congratulations! You now have the skills required to solve one of the most famous linear equations in the history of mathematics: the epitaph of the mathematician Diophantus of Alexandria.The epitaph gives an equation, and the solution to this equation is the age of Diophantus when he died. The tomb dates from the 3rd century!Being able to solve linear equations is the cornerstone of your equations knowledge, and you must practise it again and again until you’re completely sound on the subject. Better get started!Solving a Factorised EquationFactorised equations are a form of polynomial equations. and you will often see them as quadratic equations (at least up to AS level!).Essentially, the equation takes the form:‘x’ is always the unknown variable, while a,b,c, and d are numbers given in the problem. During your maths lessons, your teacher has probably told you something like this:A product of factors is zero if, and only if, at least one of the factors is zero.To check this is true, you must solve every equation with a factor of ‘x’ in it!We can’t repeat this enough: the best way of learning to solve equations is to practise!Here’s an example of a factorised equation, with its solution:The two factors correspond to the two expressions in parentheses. Just so we’re clear on the terminology, the “coefficients of 'x'” that we spoke about earlier are 3 and 2, in this example. To solve it, we must consider both sets of parentheses. We’ll go left to right, and once again we’ll solve for our unknown ‘x’:(because our equation must be equal to 0 for the product of the factors to equal 0) And the other set of parentheses... (because our equation must be equal to 0 for the product of the factors to equal 0)And removing coefficients of 'x'... Since there are two factors, that means there are two solutions for ‘x’ - this is sometimes called a solution set. We just found them both! ‘x’ can either be -4/3 or 5/2.Being able to solve quadratic equations is essential as you progress. If you can’t solve quadratic equations, you will struggle with higher order equations. Maybe you need to refresh your knowledge on how to solve linear equations first?Maths Equations with FractionsStruggle with equations? Perhaps some maths tutoring could help! (Source: Pixabay)We have a rule for equations with fractions in, too! Here’s the rule:A fraction is zero if, and only if, its numerator is zero and its denominator is not zero.You could be faced with an equation in the following form: To solve an equation like this with a fraction in, you should: • Exclude forbidden values: this means values which cancel out the denominator • Simplify everything so it’s over the same denominator • Put everything onto one side of the equation, so the other side is equal to zero • Solve the equation • Verify that the values you have aren’t forbidden valuesHere’s an example of solving an equation with fractions in. We’ll be using a technique called cross products to remove the fractions altogether. We start with this equation: Let's start by removing the fractions:Just like in our linear equation example, I multiplied  both sides by (x+1). This means that on the left hand side, I now multiply by (x+1) and then immediately divide by (x+1). And just like in our previous example, that means they cancel each other out, and I can remove them from the equation altogether: So, it's starting to look a lot nicer already: I've now got a single 'x' on one side, removed one fraction, and we're well on our way to solving this problem. Let's also get rid of the fraction on the right hand side, using the same method: Removing the fraction on the right hand side means this all simplifes to something much nicer: Now, we need to set our equation equal to zero. We could divide through by (x-1)(x+1), but then we'd end up with a fraction again! Instead, we can expand out the contents of each set of parentheses. To do this, we multiply everything inside the parentheses by everything immediately outside of it. This is easy for the left hand side, as we only have to multiply by x: becomes... Because both of these expressions are equivalent (as equalities, they are equal), we don't need to change the right hand side, as we've just rewritten the left hand side: it still  means the same thing. See our GCSE Maths Revision article for more help with this.The right hand side is a little trickier, but follows the same principle. The contents of each set of parentheses needs to be multiplied by the contents of the the other set of parentheses. Here's a diagram: The red lines show us multiplying 'x' in from the first parentheses, and the blue lines show us multiplying '-1' from the first parentheses.This l eaves us with the following expressions, starting with the 'x' in the first bracket: And now multiplying '-1' in the first bracket: So those are all the terms of the brackets on the right hand side, once they've been expanded. Now we can combine those into one expression, which represents the right hand side of the original equation: Let's put these two expressions back into our original equation: Again, this is exactly the same as what we started with, we've just removed the factored parentheses. Next, we'll put anything with an x or x^2 onto the left hand side of the equation: And collect like terms. In the equation above, I've done the same to the left hand side as the right hand side of the equation, so we'll tidy everything up: So the last step should be pretty easy. We need to remove our coefficient of 'x': -1/2 isn’t a forbidden value, so the solution is x = -1/2. Notice how despite this starting as a quadratic equation (because there’s an exponent of two on some of the ‘x’ terms), they cancel each other out, so we only have one solution.It is possible to have an equation with no solution!A fractional equation problem can include all of the same concepts as we’ve mentioned before, including: quadratic equations, exponents, rational and irrational numbers.Creating Equations to Solve ProblemsSometimes, you might be asked to form an equation for a given problem. Don’t worry, this isn’t as bad as it sounds, you’re essentially making your own word problems!The method is simple, and you only need to make sure you’re thorough to ensure you get the correct answer:Read the problem several times to make sure you understand itDetermine the unknown (or unknowns) which correspond to a number asked for by the questionTry and rewrite the problem in mathematical terms, removing any superfluous informationSolve the equation you just foundCheck the solution is correctState your equation as a solution to the problemSometimes you’ll be asked a questio n like this in the context of a geometry problem â€" don’t worry, the steps are the same, just make sure to brush up on your geometry lessons beforehand!Here’s an example of a question you might be asked, where you have to form an equation from the given scenario:“Three cousins, John, Tim and Sally, have a combined age of 60. What is the age of each person, knowing that Sally is three times as old as Tim, and that John is 10 years younger than Sally?”In this problem, the unknowns to find are the ages of the three cousins, and this can be done with the help of some equations. See if you can solve it!There are several options available to you if you want to improve, or perfect, your maths skills: whether that be brushing up on your equations knowledge, or learning something new about geometry!All of the examples we looked at today dealt with rational numbers, and did not feature inequalities. However, inequalities are solved in the same way, simply replacing the equals sign wi th the equality sign of your choice. Why are equations and inequalities important? They serve as the building blocks of your maths knowledge, and are essential when you begin studying calculus, and maybe even matrices! Knowing that you can effectively deal with problems involving integers, decimals, rational numbers, and different types of equation: whether they’re exponential equations, solving quadratics, or systems of linear equations will be invaluable as you progress further into the world of maths!Private tuition with a home maths tutor will allow you to progress. They can explain tricky topics like equations at your own pace, using methods tailored to your learning style.Revising regularly and producing revision materials, or following maths lessons online and on YouTube, in tandem with private maths tuition will help you achieve your best in maths!Learn how to graph functions or discover the list of  unsolved maths equations.

The Key Ingredient to Leadership - Introvert Whisperer

Introvert Whisperer / The Key Ingredient to Leadership - Introvert Whisperer The Key Ingredient to Leadership Many people are reluctant to step forward and take the initiative or leadership without deliberate “permission” by management to do so.   Imagine if every leader in every setting waited to be given permission.   Nothing would get done. You’d have nothing but chaos. You have to understand that even when you are given authority or a title that no one actually gives you permission to take action.   You must find the power in yourself to step forward and be responsible for your work and the work of others.   You empower or authorize YOU.   No one can actually do this for you and is the catalyst behind every person that steps up to lead. Another way for you to think about this is to think of it as informal leadership or leading without a title.   Even though it doesn’t get discussed very often, it doesn’t mean that it isn’t expected or even required in every group.   A manager/leader simply can’t cover all of the bases all the time and can’t even delegate responsibility for everything.   That’s why it’s important to have this type of person (or several) in a group to rely on.   In fact, if it were my group, I’d want everyone to be like this.   A group like that could crush the work and up-level the potential.   A real dream team and every one would be seriously motivated and satisfied. If you tend to lack the ability to empower you, I understand your struggle.   It’s like everything else; you start small and build up your skill.   You may have a fear for empowering you to step forward.   If you do, most likely its irrational and you have to push through it.   If you are performing your job it will be a rare and miserable manager that would punish you for showing up as an informal leader (even if they lack Leadership skills on some level they know it and know they need it in someone). The world needs more Leadership.   Make it you. Go to top Bottom-line â€" I want to help you accelerate your career â€" to achieve what you want by connecting you with your Free Instant Access to my 4 Building Blocks to Relationships eBookâ€" the backbone to your Networking success and fantastic work relationships.  Grab yours by visiting here right now! Brought to you by Dorothy Tannahill-Moran â€" dedicated to unleashing your professional potential. Introvert Whisperer