Category Archives: assignment help

Make Chemistry Learning Lively With Online Chemistry Tutor

Posted on by
Reply

Chemistry is interesting but vast for learning with its elements and symbols. Learning Chemistry with interest at basic level or advanced level depends upon the mental make up of students and the degree of seriousness they show forth in learning the subject.

chemistry tutor

What makes Chemistry learning tough?

Memorization: It is normally felt that those who opt for medicine or veterinary science opt for Organic Chemistry. Organic Chemistry demands lots of skills for memorization which may twist students out of their brain.

Insufficient Math knowledge: The problem with Chemistry learning arises when students possess insufficient Math knowledge. A good understanding of Algebra and even Geometry helps students get at unit conversions with ease.

Procrastination: Every day learning is essential for easy Chemistry. Cramming for tests and reading through problems will not make good for a Chemistry student. Working Chemistry problems on a daily basis is also necessary for students to do them with ease.

Vastness of the subject and lab work: Learning Chemistry poses problems to students with its vast chapters. Further, students need to concentrate on outside activities apart from classroom listening in Chemistry learning. They need to focus on lab and experiment Chemistry concepts in real-life background to understand them better. All these make them find the subject hard and take recourse to one kind of help or the other.

How online Chemistry tutor makes the subject lively

Learning Chemistry with the help of online Chemistry tutor is the safest and easiest way to excel in the subject. The video clips, interactive games, hands on experiments and real life situations used by Chemistry tutors in virtual classrooms make the subject lively, interesting, effective and fun for students. Chemistry facts are amazing with aspects that invite students to learn them with curiosity, a spirit of adventure and through innovative experiments. But understanding them without effort is out of question and you need a tutor’s help to make them interesting and wonder some to learn.

Doing Chemistry problems on white board helps students comprehend the steps without struggle and learn the methods with expertise. Some tutoring centers have in built calculators in the white board that aid them well while solving Chemistry problems. Tutor help is essential for reviewing basic skills in the subject before entering tough aspects of learning Chemistry.

What makes Chemistry homework hard?

Chemistry homework is a great struggle if you do not have good knowledge of Chemistry concepts and lack in taking class notes .The subject expects you to gear up your skills every now and then and switch over to a new set of skills quite often so as to be in the track. Once you miss classes or do not read the text beforehand, your Chemistry homework is a fiasco landing you in trouble many a time. Equations and chemical bonding are not easy to do and you miss your grades very often. Seek Chemistry homework help from expert tutors who understand your struggles and offer proper homework solutions.

Same way, assignment writing in Chemistry is also not an easy cake but it needs much of concentration and presentation with proper knowledge in topics. Chemistry assignment help is the best way to explore Chemistry topics and come to an understanding about presenting your assignments. The online writers know how to represent your topic, what examples to provide, how to make them relevant and how to tackle tough Chemistry problems. Doing Chemistry assignment under their guidance is good for you to grasp the concepts with unique insights and do your assignments for better grades.

Learn Chemistry with virtual tutors for long standing understanding of the topics, good subject skills and methods through which you can learn the subject in a lively manner.

Learn A Few Tricks To Memorize Trig Identities With An Online Trigonometry Tutor

Posted on by
Reply

Remembering identities and formula is the most annoying thing about trigonometry. After all, when you are pressed for time, you can’t go about deriving everything and remembering the right identities could make a world of difference to you in exams. Students usually turn to an online trigonometry tutor to learn the subject comprehensively and there are a few tricks and tips that are sure to help everyone in their exams. Here are a couple of tips to help you remember trig formula and identities.

trigonometry

There is no substitute to learning the derivations

Yep! To be able to remember formula and identities, it is imperative that you learn to derive them and most of them can be derived with Euler’s formula:

eix = cosx + isinx

With this formula, you can derive all the identities from Pythagorean identity to the double angle formulae. Spending time on this and understanding all the steps involved is essential and this is sure to help you in case you forget any important step during exams. Read on to learn a few tricks that can serve as good trigonometry assignment help and also help you in acing your exams.

Make up mnemonics to learn identities

You can make up simple songs or mnemonics to learn and remember the identities (of course, only after you’ve understood them completely). This will help you speed up while solving problems and learning this way has been proven to be beneficial as you don’t forget things learnt in this fashion.

Make up index cards and flash cards for important formulae

Write down important identities in an index card and write certain important formulae in blue boxes or inside a box so that you remember them easily. Keep looking at this daily or every day during revision and this is sure to stay on.

Learn trig identities using a hexagon

Look up the hexagon of trigonometric identities on Wiki or on the internet and learn most of the identities in a simple fashion!

trig

Remember SOH, CAH and TOA and you can remember all identities

This is a very simple way to remember the identities. Pick any right angled triangle and consider an angle other than the right angle. The side that is exactly opposite to this angle is called opposite and the one that interconnects the right angle and the angle of choice is the adjacent while the other is the hypotenuse. You just have to remember SOH, CAH and TOA and the rest can be derived with ease!

trig

A few more tricks

Remembering a couple of easy facts can help you in effective problem solving and even serve as the best trigonometry homework help for you and they are:

  • Sinx is odd while cosx is an even function.
  • Learn the values of sine and cosine at the following: 0, pi/4, pi/2 and pi.
  • Learn the definitions of sine, cosine, tangent, cotangent, secant and cosecant well.
  • Use the Pythagorean Theorem and learn it well.
  • Remember the following formula and learn that the alphabets used are arbitrary and A, B can be replaced by any Greek alphabet and the result would still be the same.
    • Addition Formula
    • Subtraction Formula
    • Double Angle Formula
    • Half Angle Formula

Summary

Learning to derive all the identities is the best means to learn the topic at hand. However, learning these tricks could help students up their game during exams and perform in a stress manner thus

Get Algebra Homework Help To Solve Word Problems With Ease

Posted on by
Reply

Word problems may sound terrifying and may intimidate at the first glance. The trick to working with them is quite simple however. Just read through the problem statement and work on writing it down in the form of equations that has variables. There are many kinds of word problems and being conversant with the various types is important to approaching tests confidently.

algebra problem

The most common word problems are:

  • Age related problems
  • Average problems
  • Coin/Stamp/Ticket problems
  • Consecutive Integers, digits and other integer problems
  • Interest problems
  • Fraction problems
  • Geometry word problems and motion related problems
  • Mixture, number sequences, ratios, proportions and work problems

Notice the keywords that signify the operation to be performed

Most word problems contain certain keywords that indicate as to which operation needs to be performed. For instance, when the case is addition, words such as added to, sum, total, increased to, etc are employed. While for subtraction, removed, less than etc is used. Identifying this can help you write down the equation properly. Students today turn to an online algebra tutor for help and they usually recommend such tips as they have proven to be effective and help the students construct the equations quickly.

Jot down relevant information before solving the problem

As and when you read the question, if there is anything at all that strikes you as important or as having some significance, write down irrespective of whether you can make sense out of it or not. This will in turn help you in getting a clearer picture and aid you in problem solving. It is always important to jot down relevant info while reading any problem whether in algebra or any other branch of math for it ensured easier problem solving.

There can be no substitute to practice

Practice makes perfect is the time tested theory and algebra is no exception to it. Practicing as many problems as you can is important and ensures that you are well prepared for exams and help you score better. When you are given an assignment, seek algebra assignment help online to get your doubts clarified and work out the problems on your own. This helps you tackle your tests head on!

Summary

Algebra is a popular subject where students seek professional help to understand underlying concepts and get help with their homework and assignments. The above mentioned tips outlay a methodical approach to problem solving, particularly working with algebra word problems. Following these tips is a sure shot way to success when it comes to solving algebra word problems which are an integral part of the tests.

Nail Econ Concepts And Score High With An Online Economics Tutor

Posted on by
Reply

Economics is quite an important subject in the commerce stream and it is important that students understand it well for it has extensive applications in many fields. Economics is all about the economy, how it is affected by various internal and global factors and how factors are interlinked to one another. While to some the subject may sound dull, to others it is the object of curiosity and interest. If you wish to pursue your major in econ, it is important to get the fundamentals right and an online economics tutor can help you in this regard. Here are a few tips to help you learn economics easily.

online economics tutor

Preparation is the key to success

Before you go into a lecture or class, ensure that you are aware of the topic and do your ground-work well before class. It is always better to be prepared and have an idea of what the lecture is going to be about and only then go for the class. In higher grades, as you prepare for your classes, it will become easier to understand what is being taught and you can get your doubts clarified by the time the lecture/class is over and thus come out of it enlightened.

Take notes

This is one concept that some students consider almost alien and yet this is sure to help them learn better and here’s how. When a student takes notes, he/she puts down her understanding of the concept of what is being taught and in most cases writing things down helps in better understanding. This is because when students write things down, they summaries their learning and out it into words and identify areas that they are not clear about.

Review your notes

Once the class/lecture is over, review your notes. This will help you revise the topic as well as identify things that are as yet unclear and thus highlight your level of understanding. Once the problem areas are identified, you may approach your teacher or an online tutor providing economics homework help to get your doubts clarified.

Apply your learning

Since economics is all about global factors that affect the economy and economic trends, you can apply what you’ve learnt and try to understand the news. You can choose to watch programs that are economics oriented and see if you are able to understand why a particular thing happens or the reason behind it and so on. When you apply what you learn, you are more than prepared for a career in economics! Also, it helps you understand application of theories and how things are affected in real world scenarios.

Do not miss workshops and on campus lecture sessions

Most universities and colleges come up with guest lecture programs wherein eminent speakers and professors are called upon to talk about various trending topics in the subject. Do not miss such sessions for they will help in improving your exposure levels and also get you to think. Similarly, workshops hone and refine your skills and you mustn’t miss them at any cost.

Do your assignments and projects diligently

Working on assignments and projects with sufficient ground work will help you nail important concepts and thus score very well in exams. Get economics assignment help and get all your doubts clarified from experts in the subject to ensure good understanding and also to make sure that you turn in good quality assignments that are sure to fetch good grades.

Summary

With preparedness, proper attendance in classes and tutoring sessions with subject experts, students can easily learn the nitty-gritty of economics and score good grades in the subjects. Tutoring lessons help students work on their problem areas and master them so as to ensure that they perform well in assignments, projects and exams. This is sure to result in good grades and consequently a good GPA.

How To Write Ionic Equations?

Posted on by
Reply

It is quite fascinating that most of the day to day products we use whether it is in cooking, cleaning or anything household item for that matter is a result of some chemical reaction. Take the common table salt; it is nothing but NaCl (Sodium Chloride) with some iodine added to it in some chemical process (so as to rule out diseases such as goitre). When two or more compounds react, they form other compounds or substances. For example, when an acid and base react, a salt is the result along with water in most cases. Take for example, the aqueous solutions of hydrochloric acid and sodium hydroxide reacting with one another. This reaction gives the following product – sodium chloride and water. Let us take this example up and study it in the form of an equation.

HCl (aq) + NaCl (aq) -> NaCl (aq) + H20 (l)

Aq stands for aqueous solutions and ‘l’ stands for liquid. The above is the complete formula or complete molecular equation. To understand what happens when these compounds interact, we must further break this equation down into ions that participate in the reaction. This is also quite an important topic when it comes to assignments and this is one area where most students seek chemistry assignment help.

net ionic equations

Transforming a complete molecular equation into a complete ionic equation

Before we get to this, we need to understand the different types of compounds there are:

  • Ionic compounds
  • Molecular compounds

Ionic compounds are formed between metals and non-metals or between metals and ions that are poly atomic. An ion in turn is the result of an atom having lost or gained electrons in its quest to attain a stable valence electron configuration and the resultant +ve or –ve charge the atom carries. Examples of ionic compounds are sodium chloride, magnesium nitrate and so on. Whenever an ionic compound dissolves in a solution that is aqueous, it will ionize and the ions will retain a charge.

Molecular compounds on the other hand are formed only between non metals. Carbon dioxide, water and glucose are classic examples of molecular compounds and they exist only as complete molecules. They don’t ionize and thus don’t carry a charge.

Here are a couple of things to remember before you get down to writing net ionic equations:

  • Ionic compounds always ionize when dissolved in water and retain their charge on ions.
  • Molecular compounds never ionize and exist only as molecules.
  • Ionic substances may also be insoluble and in such cases they are written in the full formula and never as ions. This is simply because to ionize, they need to be soluble!
  • Weak bases and acids are always written in the molecular form.
  • It is important to learn which substances are soluble and which are not and this can be done using the solubility chart. Make sure that you at least go through it once!

The following molecular equation can be written as:

HCl (aq) + NaCl (aq) -> NaCl (aq) + H20 (l)

Complete Ionic Equation:

H+ (aq) + Cl¯ (aq) + Na+ (aq) + OH¯ (aq) —> Na + (aq) + Cl¯(aq) + H2O(ℓ)

net ionic

Spectator Ion and what it does

A spectator ion simply does what the name suggests; it is a mere spectator and does not react. It is present in the same form in both the reactant and product side. In the above equation, two ions are spectators – sodium and chloride. Understanding this is important and most students turn towards an online chemistry tutor to understand all about spectator ions and writing net ionic equations. The main reason as to why students struggle with identifying the spectator ion is because:

  • They don’t know to write the proper complete molecular equation
  • They don’t understand the ionization concept and thus don’t know how to break the equation into the ionic form
  • Solubility of substances is one area that most students are unaware of and hence the problem with identifying substances that will ionize and those that won’t.

Writing the net ionic equation

For our equation, take away the spectator ions, the resultant participating ones are the following and this gives us the net ionic equation.

H+ (aq) + OH¯ (aq) —> H2O (ℓ)

Remove all the spectator ions and only the ones that participate will appear in the net ionic equation.

net ionic

Where are net ionic equations used?

Net ionic equations are used in the following areas:

  • Redox reactions or reduction oxidation reactions
  • Double Replacement reactions or Double displacement reactions
  • Acid Base neutralization reactions

Conclusion

Net ionic equations are quite an important and help students understand what happens when various compounds react. Getting this fundamental idea right will help them work with complex reactions such as double displacement and redox reactions. Thus, getting the best chemistry homework help there is to work on this area is important to achieve mastery in this topic and ace exams.

Reaching The Edge Of Success Is Possible With Online Biology Tutor

Posted on by
1

Biology may not interest many for the complexity one finds in Biology topics and the extensive areas of study it covers in its syllabus. One needs to possess at least the minimum required knowledge about human body, animal life, plant kingdom and other factors like environment and ecology through a study of biological topics for understanding life in a better fashion.

biology_class

Some interesting areas of study in Biology

Biochemistry, Molecular Biology, Genetics, Cellular Biology and Physiology along with our familiar Botany and zoology are some interesting areas of Biology which are worth learning for the valuable lessons they render to students. All of them explore the truths of life and the way world functions in the background of biological aspects of life. Students who are interested in exploring these facets of Biology get intimidated by the vastness of the chapters and find it difficult to remember details on the eve of exams. It is especially difficult for college Grade students who need some definite help to come out of their struggling moments. Seeking the help of online Biology tutor for college Grade is the way to shun hassles in advanced level of learning complex topics in the subject.

Biology homework help busts the myth of learning tough Biology topics

Homework in Biology at advanced college courses poses lots of threat regarding diagrams and topic analysis. Lab work is an additive in this scenario and students who are not well prepared for their lab day are sure to face lapses in their experiments and findings. Record writing and analytical process of the experiments further complicates the matter. Biology homework help from reliable tutoring quarters can undo the homework hassles of the students helping them present the assignment topics in an impressive way on time for increasing scores in homework topics in Biology.

Biology assignment help-kind of help you need

Assignment is normally a chore for many students due to the voluminous work they face and the labor they put in for assignment writing. College grade assignment writing for Biology is more intricate as students need to present up- to- date information about biological topics and it takes time for them to collect the material and present in a style that catches you at the very first reading. Further, many topics have sub topics that need to be understood and explained for proper writing of assignments.

Biology assignment help from established online tutoring sites provides plagiarism free and original content within the stipulated time for the great support of students. The writers are experts in the field with bountiful knowledge in all intricate topics up to college Grade with PhD or Masters in the field. With their long years of experience, they are able to bring out the best for their clients in writing assignments and enable them to raise their GPA with very great scores.

By talking to Biology tutors online, students can gather information about intriguing topics in any areas of Biology, clear their doubts and learn tricks and mnemonic methods to remember terms and terminologies that boggle minds very often. The availability of tutors 24/7 is a great solace for all night pullers who need instant help for their test prep and homework struggles. It is further more necessary for college graders who need instant help in times of need with their hectic schedules and limited time to attend to classes, homework and assignment work.

Conclusion

Talk to Biology tutors on live chat and understand how easy it is to get through your difficulties in Biology work with easy solutions and effective remedies. Diagrams, lab work, assignment and homework are no more tedious in the hands of expert tutors who know how to tackle your challenges and provide custom made methods for easy learning of Biology.

Learn To Solve Complex Problems In Quick And Unique Ways With An Online Calculus Tutor

Posted on by
Reply

Calculus isn’t a piece of cake for most students and becomes increasingly difficult to understand once the fundamentals are improperly learnt. Many a student squirms at the very mention of the topic and this forms for a less than ideal situation for after all, calculus is an important subject with wide spread applications in many sciences. It thus is very important that a student masters this topic from the very beginning and to do this the best hope is an online calculus tutor.

calculus student

Calculus is made fun to learn online

When a student learns online, he or she finds it easier to understand the underlying concepts especially in tough subjects like calculus as the online tutor employs various visual aids and modern techniques to communicate ideas. Also, sessions can be recorded and played back when learnt online. Even when the teacher isn’t around, a student gets to play back the session and revise the topic and work on it. This is a major advantage and since it is an audio visual medium, it becomes even better than simple audio tapes and books. Learning round the clock, learning from one’s home (or room to be specific), global platform, affordability – the online platform has so much going for it and it appeals to students as the medium is powerful, dynamic and suited to their tastes.

Get customized help online

Apart from its numerous advantages, the online platform also offers flexible learning options and caters to specific requests such as calculus homework help, assignment help and so on. If a student happens to find a topic, say for example –area under the curve very difficult, he or she can approach an online tutor and upload their problems on a forum. The tutor would then proceed to solve the problem in a detailed manner and work till the student gets a hang of the topic. This is ideal for many students and also happens to be pocket friendly for parents. Once students understand a particular topic, it becomes easy for them to revise or go through those topics again during exams and this is indeed helpful for their scores.

Assignment is another important aspect today in the academic curriculum and online calculus assignment help too is available to those looking for it. In such a system, students get writing and presentation tips apart from the tutor teaching them the topic involved and in case of math, the problems are worked out and resolved till the students completely understand it. Thus, this medium offers flexible and reasonably priced solutions that cater to the exact needs of students.

The online medium is thus the best resort for students looking for help with tough subjects such as math and is the key to improved scores and better GPAs. Availing tutoring services online is a completely safe and viable option and results in better understanding of the topic at hand and thus paves way for a good performance in exams.

Learn Everything About Acceleration Due To Gravity With An Online Physics Tutor

Posted on by
Reply

Physics has its share of tough topics and acceleration due to gravity is one of them; it isn’t particularly hard and neither is it easy to understand it in the first go. Simply put, acceleration due to gravity is the rate at which the velocity of an object changes that experiences a free fall and is moving downwards towards the earth. Discounting the air resistance, it is found that every object that in a free fall experiences the same acceleration and this is attributed to gravity. The earth’s gravitational pull is responsible for the object’s acceleration and is measured at 9.8 m/s2.

gravity

Most students seek physics assignment help in this area as they find it difficult to grasp the underlying concepts and work on the assignments. Now that we have acceleration defined, let us understand the laws involved and take up some examples to understand this fundamental concept that finds universal application.

phyiscs1

According to Newton’s Second Law (of Motion), whenever there is a net force acting on an object or a body, it is equivalent to the product of the mass and acceleration or simply put, F= m*a (Mass * Acceleration). The mass employed here is the resistance the object offers to the force exerted and it can also be defined as the net quantity of matter that an object contains. There is a lot of difference between mass and weight though; let’s take a look.

Mass vs. Weight

Weight is directly dependent on the gravitational force while mass directly relates to the quantity of matter in a body or an object. Depending on the gravitational pull, the weight of an object will vary! For instance, the moon where there is a lower gravitational pull as compared to the Earth will show a different weight for the same object than earth and so on.

Acceleration due to gravity is represented as ‘g’ instead of the usual ‘a’ that represents acceleration and the equation that connects weight, mass and gravity is W = mg. W is the net force (we replace the F for force with W here) and m is the mass. There is yet another Newton’s Law regarding Gravitation and that is one area where students flounder when it comes to homework and require physics homework help.

The Law of Universal Gravitation is quite simple once students understand the hang of it – every object or body has a gravitational pull or force on every other object. For example, when there are two objects with masses m1 and m2, they exert a gravitational pull on one other and the net force F is proportional to the product of their masses and is inversely proportional to the square of the distance between them which gives us F (F1=F2) =G (m1*m2/d2) and G here is the Gravitational Constant.

phyiscs2Sometimes, students may need more than just classroom help and in such cases engaging the services of an online physics tutor would be a good option. Not only would they get individual attention, they will also have an expert at their service at all times to clarify their doubts and this will certainly help them ace their physics exams.

Are You In Need Of Instant Trigonometry Homework Help?

Posted on by
Reply

learn_trigonometry_online

Some subjects are complicated and needs tricks as well as tips to solve them. Such is Trigonometry, which is an essential part of Mathematics and requires for expert support that can solve the complicated projects. Generally, the students happen to complain that the reduced time limit to solve the problems. At times, it happens that experts also find it tough and time consuming to deal with complex mathematical sums. This is the point that requires assistance from online trigonometry tutor, who happens to be the master of the subject and knows the way to handle most complex of the problems associated with Mathematics. Indeed, their task is to understand the subject problem and find methods or apply theories to solve them.

Comparing rates

In finding problem to solve the questions associated with trigonometry, consulting the professional experts available online is the best thing because they do not charge whooping rates like the physical teachers. Indeed, they plan out the specialized process for every trigonometry work and train the students efficiently to make their minds sharper than before.

Methods of Trigonometry Teaching

Well, the services of trigonometry solving methodologies is give online through chats, messages as well as videos also. In regard to this, the chat and messaging services allows the students to ask queries as and when required, which is effectively answered by the teachers. In this way, the students are able to get desired information at their will. Besides these factors, the services to deal with teaching the students can also be conducted though efficient videos. It is rightly said that seeing is believing, which mandates the use of videos. They are meant to instruct the students with physical action and verbal classes. Such type of training sessions is available with a variety of tuition centers that provide trigonometry assignment help.

Solve even the most complex problems

By hiring their services, the students are able to complete their task well on time and get good grades. And who does not wants to achieve good grades? The task of such educational institutions available online is to solve the complex problem and make the students understand the way of resolving such issues further. It is because of this reason that online services are always favored. Now, as the subject is concerned with establishing effective relationship between angles as well as sides of triangles, there might be difficult for the students to understand the depth of subject.

More learning in the least possible time

This makes it necessary for the students to take trigonometry homework help from online tutors as they are experts and knows the tricks to solve toughest of mathematical problems. For this purpose, he aspiring students studying trigonometry can look out the tutors fitting in their budget. In this technology oriented world, taking online assistance is nothing wrong; rather, it provides the opportunity to get the mathematical issues resolved in much less time without having to roam about for it. So, students can definitely rely on the qualitative services of online trigonometry tuition centers.

Math For Advanced Level; Algebra Geometry And Calculus Advanced

Posted on by
Reply

mathclass

Math is a combination of many branches such as Algebra, Geometry and Calculus, but math does not quite stop right there, we have levels to each branch of math such as beginners and advanced. The advanced level math usually needs more attention and practice to master it. If you are confident with the basics and know all your formulas then the advanced level math is the next step to beginner math topics. Today let us look at different advanced level math questions in areas such as Algebra, Geometry and Calculus.

Advanced level Algebra

Algebra consists of different algebraic expressions and equations. Algebra has different kind of questions to solve. Mentioned below are few such questions which will give you an idea about how to use the basics of algebra to solve advanced level questions:

Solving linear equations with one variable:

Find the value for x in equation 4 (2x – 3) = 5 (2x – 8)?

Here the unknown variable is x. Since there are numbers in front of the brackets, distribute the numbers as shown below:

math1

Here we have x on both sides of the equation, bring all like terms to the same side of the equation and solve for x.

math2

As show above the equation reduces to 2x = 28. Divide by 2 on both sides of the given equation. This gives x = 14.

Did you follow the solution to the question above? Now let us look at solving an inequality. Solving inequities play an important role in algebra. An inequality is where there is a comparison and is represented by a less than or greater than symbol. The solution to the inequality are usually represented on a number line, so as to represent all the possible values for the variable. Follow the given example below:

Solve the given inequality 3 (2 x + 8) > 24?

Look at the question we have greater than symbol here. You have to solve for the unknown variable x and find all the possible solutions for it. For the given question above, divide both sides of the equation by 3 as show below:

math3

Now the inequality is reduced to the form 2x + 8 > 16. The next step is to solve for x. follow the steps below:

math4

The inequality is now reduced to x > 4. Look at the symbol separating x and 4 it’s a greater than sign not greater than equal to. This implies that the number 4 is not included in the solution. Hence the solution of x contains all the values greater than 4 such as 5, 6, 7, 8…….. This can be represented on a number line as show below:

math5

The advanced level algebra consists of many other subtopics such as quadratic equations, solving two variable equations using substitution and elimination methods and many more. The key to success for solving all such questions is practice and knowing the basics of Algebra.

Advanced level geometry:

After algebra let us look into geometry and some sample question. Geometry is one of the favorite topic for all the students especially when you are in the elementary school, it could be because of learning different kinds of shapes. But geometry does not quite stop there, as you go to the higher grades you need to tackle the advanced level. Let us look at two examples on how the basics of geometry can be helpful to solve the advanced level geometry question.

 Find the area between the two shapes for the given geometric figure:

math6

The given diagram is a square inscribed in a rectangle. Let us recall the formula for the area of the rectangle = length x width. Using the formula, the area of the rectangle = 10 x 8 = 80 square inches.

Now the area of the square = side x side. Using the formula, the area of the inner square = 4inches x 4inches = 16 square inches.

The area between the two geometric figures is obtained by the difference in the areas.

Hence, the area = (80 – 16) square inches = 64 square inches.

Did you follow the solution? Great! The next question you will see how the sum of the angles can be used to find the missing angles of the triangle.

The sum of all interior angles of a triangle = 180 degrees. This fact is very commonly used in solving many geometrical questions. Knowing the angle measures helps you classify the different kinds of triangles such as equilateral, scalene, and isosceles.

In the given diagram, find the value of v and the angles of the triangle. Classify the triangle?

math7

Sum of all the angles of a triangle = 180 degrees.

Adding all the angles of the triangle v + 2v + 60 = 180. This gives 3v + 60 = 180.

Solve for the variable v, follow the steps below:

math8

The angles of the triangle are v = 40 degrees, 2v = 2 (40) = 80 degrees and the third angle is 60 degrees. Therefore, the angles of the triangle are 40, 60 and 80 degrees. Since all the angles of the triangle are different. The given triangle is a scalene triangle.

Advanced level Calculus

The next branch of mathematics which is very important and plays a major role in high school and college level math is calculus. The students are expected to know pre-calculus before stepping into calculus or advanced calculus. Calculus starts off form the basics of functions, domain, range and steps into differentiation and integration, which are the advanced level topics.

Let us take a quick look at few solved calculus questions:

Find the derivative to the function f (x) = 3x3 – 5x2 + 10?

Here before finding the derivative of the given question there are some formulas of derivatives which are expected to be known. Learn from the diagram below:

math9

Did you recall the formulas? Now apply the power rule to 3x3 and -5x2. Since 10 is a constant the derivative will be zero. Take a look at the diagram below:

math10

The answer f’(x) = 9x2-10x.

Taking a step forward, let us solve a derivative question involving logarithms and exponential functions.

Find the derivative of the function f(x) = x5 + 2ex + 3log x?

For the given question you can apply the power rule to x5, exponential rule for 2 ex and logarithmic rule for 3 log x. Use the formulas as mentioned in the diagram below:

math11

Applying the formulas to the given function:

math12

Hence the solution f’(x) = 5x4 + 2ex + 3/x.

Free Online Math tutor is the easiest way to get solutions for difficult Math problems. Tutor Pace provides effective Math tutoring and assignment help which are personalized and customized to meet student demands in one to one sessions.