How To Make English Learning Easy With English Tutors

English learning is an integral part of good education and it is good to learn through good English tutors to master English language. Native speakers and teachers help you through learning difficulties and make you know what is what in language learning. You can weed out your difficulties in reading a prose lesson, poem or fiction or write a formal essay with ease, if you know how to access help from online tutors in English.

online english tutor

How to make English learning easy with English tutors? Here are some ways:

Go in for one on one tutoring sessions: Customized courseware is available in one on one tutoring sessions with an English tutor. You can express what you desire in English and emphasize on coaching for those topics and areas wherein you need special attention. Suppose, poetry is a big fuss for you, talk to your tutor and ask him to help you read and interpret poems through fine strategies. He helps you with step by step analysis of a poem.

Get instant feedback: Language learning imposes lots of errors especially in grammar, essay writing and constructing sentences. If you have doubts in grammar and go wrong in fixing grammar errors, get the guidance of your tutor once your exercises are done and rectify your errors immediately. Keeping things postponed is not good in English grammar learning as it is in the case of Math. Systematic approach is very essential in doing Grammar and your online English tutor does it well for you with his white board writings and explanations.

Correct your phonetic discrepancies to fetch good spoken language: Speaking English language is a menace to many students. ESL students especially find phonetic symbols and the way you pronounce them as highly harassing. Correct your speech then and there with an English tutor online and pick up good conversational tone from him.

Chat with an English tutor online: When you chat with a live English tutor online, you know how to interact, converse and also get clarifications for your requirements in prose, writing or fiction. It is instant help you get through live chat with online English tutors and it greatly helps you in doing your English homework or clarifying any aspects of writing within a few minutes and thus helps you gain good scores.

English learning will not be tough if you interact with tutors online or chat live and pick out solutions for your language requirements on time. All the online tutoring services offer their best with 24/7 access and thus help you gain the required help at any time you need it.

Tips for Helping Your Children with Math Homework

Math Homework HelpGetting your child to do their homework can be a lot like trying to pull teeth. There may be a whole lot of resistance from the child but be patient. Learning is about improving ourselves, and even children understand that. They are always going about learning new ways to make this easier, or more intriguing or most of all, fun! So let’s approach the process from that perspective, shall we?

No Pressure

Children often feel a lot of pressure from adults and adults do not even realize when to pump the brakes a bit, but that is all a part of human nature. Children of course do need to be pressured, but in a positive way. What really works to motivate anyone is to show the short-term or long-term benefit to what it is that you are trying to accomplish. If you go in guns blazing trying to force pressure the child into learning the topic and you become frustrated, your child will in turn notice the negativity right away and begin to decide that they are being judged. They are right.
So avoid this tactic. Try to be open and understanding of their own learning process. Explain the logic of math problems in a way that will show them those benefits, how math is all around us, whether we are gauging our speed driving to school, measuring ingredients for a delicious snack or meal or counting the school supplies that we need. Specific examples really help children appreciate why we need to understand the concepts in mathematics, even at a basic level. They will be more enthused by this method and seek new ways to solve problems with more advanced math. A lot of this is just all about attitude and mentality.

Visual and Practical Models Work

Math is taught with great success in many Asian countries and many believe it is because of the way in which students learn the concepts and make the transition. It has been revealed that more visual representation matters to the student when discussing anything from simple basic addition/subtraction/multiplication/division to fractions and beyond. When they make a visual connection to the data, their brain can begin quickly deconstructing the logic behind the problem.
Ask your child to work out the problem aloud with you so you know their line of reasoning as well. This will help you understand their approach so you can teach them some new tricks. Again, be patient. The respect factor is exponentially higher with children when you are on their level and are actually helpful in their eyes. You should also work problems out aloud with them and do the same with everyday scenarios in life as you are going along your day with your kids. Explain concepts in everyday tone and language and relate it back to those school math problems they were working on.

Be Involved

It may seem obvious that you need to be involved in your child’s education, but moreover, try to be involved in their actual math problems and other studies. Make it your problem too. They will be more studious when they feel it is a group activity or game. Make it fun for them if you can by creating mini milestones like a bonus fun game for every successful problem solved or for finishing their homework. Remember how flash cards worked? The more colorful the cards the better by the way.
Being involved in all aspects of a child’s life is a great way to keep them involved in positive life activities as well. Your child will feel supported and confident knowing that their parents are there for them to help them when things get really tough. In math, when a problem is tough to understand, they may feel comfort in knowing that Mom or Dad can help guide them through it so they may understand it better. This helps a child’s confidence and self-esteem like no other.

Rewarding the Triumph

Children; just like pets, wild animals and grown adult humans; need to see the immediate benefits to the work behind learning a new skill, one that may seem mundane or useless in the form of numbers, symbols or expressions on a piece of paper or computer tablet screen.
When your child solves a problem, be sure to remember to try to challenge them to think of a way that problem can be implemented in the real world, or even better their world! When the child begins to unravel mysteries, not only will it excite and motivate them, they will be rewarded with pride and wisdom. They are never too young to understand this!

Get Access to free math lessons and math homework help online from basic math to algebra, geometry and beyond with the best online math tutors. Students, parents, teachers find these lesson plans to be very useful.

9 Secrets To Know About Speed And Mental Math Tricks And Techniques

Math is definitely challenging but what makes learning math fun and interesting is that, there are some tricks and techniques which can actually make the calculations easy to solve. Today, we will try to learn some math tricks which can be applied in solving different kinds of questions.

Speed And Mental Math Tricks

Multiplying a given number by 2

We all know the 2 times table. But what if 2 is being multiplied to a bigger number, there is a trick to make the multiplication quick and accurate. Think about it, multiplying by 2 it is nothing but doubling the given quantity. So to speed the calculations the given number can be added twice instead of multiplying by 2. For example 6 x 2 = 12.

This can also be got by 6 + 6 = 12. Now, if there is 32 x 2 = 64. This can also be got by 32 + 32 = 64.

Now applying this trick to bigger numbers multiplied by 2.

Find the value of 98340 x 2?

One method is the usual way of multiplying the given number by 2. But let us solve the same question with the trick of addition:

math 1

Hence 98340 x 2 = 1,96,680

Multiplying numbers which are multiples of 10

Did you know 10 is a very interesting number when it comes to multiplication? For example, in a question you come across a calculation such as 23 x 10 all you need to do is place a one zero next to 23. That is 23 x 10 = 230.

Can this be applied to bigger numbers as well? Yes it can! Let us look at some more examples:

While multiplying, 45 and 50 one method would be the regular multiplication. By applying the trick here all that needs to be done is 45 x 50, first find the value of 45 x 5 = 225. Since there is 50 which is a multiple of 10 place a zero next to 225.

So we get 45 x 50 = 2250. Another example would be, 25 x 30. Here first do 25 x 3 = 75. Now since there is 30 place a zero next to 75. This gives 25 x 30 = 750

Question: Sam brought 19 boxes of candies. Each box contains 200 candy bars, find the total number of candy bars in all the boxes.

Number of boxes of candies Sam brought is 19. Each box contains 200 candy bars.

Hence the total number of candy bars equal = 19 x 200.

Try to follow the diagram below for the calculation:

math 2

Multiplying a given number by 11

No matter what number is given to you multiplication with 11 can become quite simple, follow the trick here. Look at eleven, there are two 1’s. Now for example you have 14 x 11. First do 14 x 1 = 14 then to this add 140 which is 14 + 140 = 154?

So we get 14 x 11 = 154

Need a better idea? Follow the example below:

Find the value of 456 x 11?

Here first calculate 456 x 1 = 456 now add 4560 to it so you get 4560 + 456 = 5016

math 3

Adding three or more digit numbers

In some questions, you may have had situations where more than 2 numbers need to be added, it can get more tedious if they are big numbers. Let me share a little secret that can make adding such numbers much easier. For example there is a word problem: Riya spent $ 112 on shoes, $ 216 on bag and $315 on books. Find the total amount of money Riya spent on all the items. Solution: For the given question, the total amount of money spent equals the sum of all the given individual prices = $ 112 + $ 216 + $ 315. Follow the trick here, rather than adding the individual number. Add the hundreds place first. Follow the solution: math 4

Squaring number ending in 5

This rule is applicable from 5 to 95 only (i.e., 5, 15, 25, 35, 45, 55, 65, 75, 65, 75, 85, 95.) and here is how it works! We have 5 x 5 = 25.

The trick is, for a number ending in 5 when squared always has to end in 25. So for a given number example 152 pick the tens place, which is 1. Now the number after 1 is 2. Multiply 1 x 2 = 2. Now place a 25 next to 2. We get 225.

Now for 25 x 25. Here, 2 is in the tens place. What is the number next to 2, 3. So do 2 x 3 = 6. Now place a 25 next to 6. We get, 25 x 25 = 625.

Let us follow the diagram for clarity, take 65 x 65.

math 5

Hence 65 x 65 = 4225

Divisibility rule for number 2

Here is a quick mental math trick to find weather a given number is divisible by 2 or not just by looking at it. If a number is ending with an even number then it is divisible by 2.

What are all the even numbers between 0 and 9 (0, 2, 4, 6, and 8).

Look at an example: 48 here 8 is an even number so it is divisible by 2. Now 51 is not divisible by 2 as 1 is an odd number. Apply the same for big numbers.

Find out if 4576 is divisible by 2? Prove it!

Here 4576 is ending with number 6. Since 6 is an even number the given number is divisible by 2. Follow the diagram for a quick check:

math 6

Divisibility rule for number 4

Now that you are familiar with the divisibility rule for 2. Let us quickly check the divisibility rule for number 4. When it comes to 4 always check whether the last 2 numbers are divisible by 4. Consider 324 here it’s clearly know that 24 is divisible by 4 so 324 will be divisible by 4. Now let me give you another example:

Find out whether 5608 is divisible by 4? Check your answer.

Here again use the trick and figure it your mind. 08 are the last two numbers of the given number. Since 08 is divisible by 4, 5608 is divisible by 4. Let’s check if we got it right look at the diagram below:

math 7

Divisibility rule for number 5

Did your math calculations get faster on the divisibility part? Now let us follow the trick for checking divisibility with number 5. For number 5, the given number should end either with 0 or 5. Take an example of 560 it is divisible by 5 since its ending in 0. Whereas 432 is not divisible by 5 since its ending with 2 not 0 or 5. Look at the following question.

Find out if 890 is divisible by 5? Check your answer.

Here the given number 890 is ending in 0, so it is divisible by 5. Let us check the answer, follow the diagram below:

math 8

Combining the like terms

Many students find adding and subtracting like terms very confusing. Let us look at a simple way of solving this kind of a question. Did you know there is a trick with which you can solve the combining like terms in your mind? Here is what can be done:

Consider a question for finding 5x + 6x.

A like term is a term which have the same variable. Here it is x. Now for adding 5x and 6x since x is the same, just find 5 + 6 = 11. Hence 5x + 6x = 11x.

Did you follow the solution? Follow the next example:

Find the value of 3x + 7x + 10x?

All that needs to be done is add the numbers and place the common variable x next to the sum. Take a look at the diagram below:

math 9

Hence the solution is 20x.

Therefore, practice these tricks and apply them in your math calculations. You will be amazed how they will aid in speeding your calculations. If you still need help, chat with a Live Math Tutor Online Now!

Some Interesting Back To School Expectations Versus Reality

Expectations are always different from reality. Back to school is a time for jubilance and cheers with everything new for a student. You feel great to look in your new outfit for the first day with a trendy backpack and your favorite lunch bag. It is a basket of expectations you carry along with you when you enter the portals of your school or college. Reality is something else which disappoints you in various things. What are your expectations in back to school and what is reality?

Expectation 1

Trying to look trendy every day with smart outfits

You think your wardrobe is the best and you have bought everything marvelous on earth. You imagine that you would look gorgeous with your signature costumes and other accessories. Expectations Versus Reality

Reality

You are in for a disappointment on the very first day with angelic girls looking pretty in their smart wears and handsome guys moving around in their best outfits to attract the eyes of everyone around. Oops, you are not the only one who looks smart, sweet, new and fresh in a trendy dress. What to do for every day trendy look?

Expectation 2

Finding your old classmates and friends in the new school or college

You have been to a new place and your friends should be hanging out somewhere in the corridors or can teen. You could greet them, chat with them, share a bit of your summer experiences. You would not feel out of home and find at least some familiar persons. high-school-musical-vs-actual-main

Reality

Not a single one of your familiar acquaintance you could find. Not even Jennie who was your bitter enemy last year. Well, you are to move ahead with new friends. Would you get one as close as Jamaica of last year? Wait and see.

Expectation 3

Dismissal of the first day class in a very short time

You are asked to introduce yourself in the class. Others do. Then the teacher or professor dismisses the class and lets you go. You enjoy the rest of the time with friends or come back home fast and enjoy that sleep which you have missed a little after your transitional bed times. Or enjoy a movie or rock at a hotel.

first-day-of-class-expectations-vs-reality

Reality

Yes, you introduce yourself. Does that end with that? Professor goes on and on and you sit for a long time in the class. Long drawn face with sleepy eyes…uh?

Expectation 4

Thinking of bagging the best homework gift

You imagine with the best homework gift basket in the end of the term and everyone smiling at you and yourself beaming with cheers. Start your homework schedules with a planner from day 1? Yes, it is … it is your dream…..but are you doing? homework reality

Reality

You get boggled by a Math sum in the very first day and get stuck with a Science topic. Where was your dream and what is is the reality? Upward grades? Nay…down and down rather…. By the by…why not consult an online tutoring center for your homework hassles? They prove good for making your dream into reality -winning fabulous gifts for your top scores in homework in the class.

Expectation 5

Staying organized with an arranged back pack

Your back pack is well organized with school supplies, mobile apps, calculators and texts. Well, you are ready every morning with everything well set without morning anxieties. Is that true?

back pack

Reality

Your backpack is disarranged. Mom is sure to shout in the evening…What about your room? Is it spick and span? Aye… everything is in a mess. After all, first week’s anxiety is there for all in back to school. Don’t give up hope… try to get back to normalcy.

Expectation 6

Great partying with old and new friends

It is all great galore of joy with partying and enjoying. Late night hang outs can even be. Your friends and peers sharing best birthday bashes….

ever_merged_nid_294

Reality

Boring parties leading you to sleep awhile and dawdle. When are you going to get that dream party you imagine?


Yes, many more expectations can be there and you would miss most of them in reality when you are back to school. Why don’t you share some of them with us?

6 Milestones on the Road to College

6 Milestones on the Road to CollegeFinding out the best & getting into the preferred college is one of the biggest challenges for parents and their children after the high school education. It’s not an easy task for everyone to achieve desired goal without any skill and knowledge. Thus, it is very important to preparing during high school education both academically and financially to deal successfully with college days challenges. To reduce some stress & overcome upcoming difficulties, you can arrange a meeting with counselor and discuss all the important courses to take throughout high school, summer tutoring opportunities as well as extracurricular activities. Indeed, students can register for & take SAT subject test, PSAT/ACT and Reasoning test.

Parents can assist their child create well-versed decisions about his/her education, learn about colleges, perform well academically and discover the best possible opportunities for the college education. Usually, people need to pay attention to each critical step as well as plan ahead along their route to college.

Have a look at the 5 important milestones along your way to college that can help you reach at your preferred destination!

Ready to Face Challenges & Become a Skilled College Candidate During high school education in 9th, 10th, 11th and 12th Grade, students get the better opportunity to learn about the different subjects & prepare for college. Meet with career counselor or guidance counselor in the early hours to lay out a plan to get the toughest & challenging academic courses viable for you. Thus, with the aim to become a strong college candidate, take challenging classes of different subjects like Mathematics, Physics, English, Economics, Science, Arts, History, Civics, Chemistry, Geography and a Foreign Language. In this way, you can improve your basics in all important courses and get the top grades during high school education.

Make a Plan & Start Saving for College Education Financing for college is one of the significant & critical situations for parents. Thus, it is advantageous to build up a financial plan as soon as possible by determining an affordable college education cost to pay per year. Along with this, you also need to consider how much total debt is reasonable to carry once your child will graduate, and who will refund it. Also, determine all additional cost and find out the sources like student education loan, students & parent loans, need-based aid as well as scholarships. In order to reach at the final decision, you can arrange a meeting with a financial planner or tax professional. A financial expert can assist you in all ways to determine what you can afford to spend on college education of your child without sacrificing your future. Moreover, you can also explore different ways to save money like investing in mutual funds, open a saving account in a bank, etc.

Register for and Take the Standardized Test

Participating in standardized testing is one of the very efficient ways to show your skill set, knowledge as well as strength. For this, you must register early on and take the PSAT/NMSQT (Preliminary Scholastic Assessment Test/National Merit Scholarship Qualifying Test), ACT (American College Test), SAT Subject Tests, SAT (Scholastic Assessment Test), or any other competitive exams required for admission in your preferred list of the best colleges. If you are not able to pay registration fee, you can contact your counselor with reference to getting a fee waiver.

Attend Summer Opportunity Fairs, Seminars, Interviews & Schedule College Visits

If you want to learn about types of colleges and their opportunities, qualities as well as differences, then it is better to visit career fairs, attend seminars, face interviews and pursue community-based extracurricular activities or summer opportunities according to your knowledge & skill set. Indeed, you can also attend college meetings held by representatives & experts. After comparing all the essential qualities, facts & financial figures, you can easily narrow down the college list & choose the best one as per your preferences and affordability. After selecting your college, prepare & fill your application form or admission form carefully with complete information & required documents. Moreover, follow the given instructions & pay close attention to applicable deadlines in order to form submission.

Investigate the Availability of Financial Aid & Apply for Scholarships

One of the most important milestones along your way to college is conduct an inquiry about the availability of financial aid from state, private, federal, and local sources for college students. For more information & in-depth inquiries, you can meet or contact your guidance counselor. To gather more info, go to the library & try to find directories of scholarships for disabled students, women as well as minorities. You can also apply for scholarships. There are many organizations inside and outside the colleges offer scholarships such as professional associations, corporations, credit unions, religious organizations, and labor unions.

Make a Final List to Apply for College:

Start applying to the colleges that you have sorted on your final list. You can begin the application process by writing application essay, which tend to help colleges get to know you. Pick an essay writing on the topic you are familiar with and confident of writing it down. Complete and then apply to those colleges where you are competitive.

Start getting higher grades from your first day of college. Signed up for an online college tutoring programs today.

Do You Hate Math? 5 Ways To Instill A Love Of Math In Kids

We find many students hate Math from the bottom of their hearts and they do not know the reason for it. This leads to negative scores in Math and their lack of understanding the value of Math in life.

I hate you math

It is the greater parental duty to instill a love of Math in kids and there are ways for it. Here are they:

Be a Math myth buster: There are many myths about Math. It is a general feeling that Math doers are gifted brains with special abilities. Some feel that Math skills are inherited from parents. Some feel that boys do better Math than girls. The fact is anyone who perseveres and works hard in Math is able to achieve with it. Parents have to instill this positive feeling in their kids and make them realize that Math is within their reach, once they persevere. One more thing is that they should avoid all casual comments about Math like “I am not good at Math“ or “ I was very good at Math” or “What good Math does in your career?. All these comments impact the kid’s mind one way or the other and affects his studies.

Create positive vibes about Math learning: Do not give false pictures about Math. Don’t say Math is hard or it is easy. Make your kid understand that Math is an important aspect of his learning with real life situations. Ask him to calculate the grocery bill and help him choose a birthday gift which is really worth its money. Make him understand that Math is essential for his achievements in life.

Make Math an early learning: Expecting kids to learn Math by themselves is an error. It can turn negative also. Some kids like Math and most of them hate Math. This is due to the exposure in class or bullying peers or sheer negligence on the part of the kids. They should love Math, true, they should also take Math seriously. Expecting kids to add, subtract or multiply without mistake from their early age is not wise. Instead, small activities like counting the plants in the garden, calculating the time for your favorite TV show are those that kindle enthusiasm in kids to learn Math.

Play games: Anything learnt with fun is loved by kids and they do not realize the toughness of the matter. You can use the computer games, apps for playing Math games and make Math learning an inspiring one. Anything implanted in mind with enthusiasm has been getting imprinted in the mind forever and so is Math through games and fun activities. Children like to learn Math and start doing the subject without compulsion. Joining online Math tutoring centers will help you a lot in this aspect as the tutors help your kid with many interactive games and make a fun atmosphere in Math classes.

Teach them stress busters while will Math: Math exercise, lots of stress on kids and they wear out very soon. Ask them to take a deep breath or listen to music for some time. They can even go for a small walk or watch their favorite movie for a diversion. Taking meditation classes and even physical exercises are good in this matter. Encourage the kid to face Math with a challenging attitude and tackle Math sums with courage.

Conclusion

It is the right attitude to do Math that should be developed in kids through encouraging words and fun activities. You can approach online Math tutors for more tips and let your kid on the right path to successful Math.

Tips To Remember How Math Logarithmic Notation Works

Logarithms are really fun and interesting, but I have seen many students find changing logarithmic notation to exponential notation and vice versa quite confusing. Well here are some useful tips to make you remember that this conversion is simpler than you have expected.

The exponential form is where we have the base number multiplied according the exponent to get the answer. Here is an example from online math tutor:

When you multiply 2 four times you get 16. That is 2 x 2 x 2 x 2 = 16.

This can be written in the exponential form as 24 = 16. Let’s look deeper into this notation:

log1

Let’s now try to follow how we can convert the exponential notation to the logarithmic notation:

log2

As show above, both the exponential notation and the logarithmic notation have the same base number. Next, there is an exchange in the exponent and answer while writing it in the logarithmic notation.

This can be better understood with an example:

Convert 34 = 81 from an exponential notation to logarithmic notation.

Here 3 is the base number which will remain the same even in the logarithmic form.

We have 4 as the exponent and 81is the answer which can be written as:

log3

Did you get a little hold of this method? Good let me show you one more example:

Convert 52 = 25 from exponential form to logarithmic form.

Everyone likes the 5 times table, for some reason it’s quite easy to memorize.

Here observe 5 is the base number and 2 happens to be the exponent. Multiplying 5 x 5 gives 25 as the answer. Now converting the exponential form to logarithmic form:

4-1hp6teb

Taking a step further, let us now convert the logarithmic notation into exponential notation applying the same process backwards.

Convert log4 64 = 3 from logarithmic notation to exponential notation.

Here the given logarithmic notation can be changed to exponential notation by keeping the base number 4 the same. Follow the steps below:

log5

Hence the exponential notation for the given question is 43 = 64.

Good so far! Now, have you ever observed some logarithms written without a base?

For example, notations like log 5, log 16 or log 150. Are they really without any base number? The answer is NO! They have a base number which is 10 it’s called the common base.

Hence, logarithms with base number 10 are called common logarithms. This can be shown as below:

log6

Convert the given exponential form 103 = 1000 to logarithmic form?

Here we have the base number for the exponential form as 10, so the final answer will be a common logarithm. Hence we can write the given question into a logarithmic notation as follows:

log7

So the final answer is log (1000) = 3. [Not to forget it still has a base 10.]

Now you are familiar with the logarithmic notation and ready to change exponential notation into logarithmic notation. But remember logarithms does not stop here, these are just few useful tips to get you started with the logarithmic notation.

Read more – Solving Logarithmic Equations

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How to Solve Algebra Word Problems in 5 Steps

For solving Algebra word problems you need to use your logic and find out answers for the problem. Here are 5 steps that help you solve Algebra problems with ease

  1. Identify the problem
  2. Identify what you know
  3. Make a plan
  4. Carry out the plan
  5. Verify whether your answer makes sense

Step 1

Identify the problem

The steps for identifying the problem are

  • Express the problem question or statement.
  • Identify the unit of the final answer.
  • Express the problem question or statement.

You find Algebra word problems in the form of a question or statement.

Examples:

Question How many saplings Brown needs to plant? How many televisions Brenda needs to sell to earn $20000?

Statement Find the number of saplings Brown has to plant. Solve for the number of televisions Brenda has to sell to earn $20000.

  • Identify the final unit of the answer

After understanding the purpose of the word problem, try to find out in what unit the answer will be like miles, ounces, pesos, number of trees or number of televisions.

Example for step1

Christiana is making brownies to serve at the family picnic. If the recipe calls for 21/2 cups of cocoa to serve 4 people, how many cups will she need for 60 people who attend the picnic?

  • Identify the problem: how many cups Christiana needs if 60 people attend the picnic?
  • Identify the final unit of answer: Cups

 Step 2

Identify what you know

I need more information What information you have is not adequate and you need more information.

Example for step 2 

Sarah is carpeting a rectangular room in her house. The length of the room is(x+2) feet and the breadth of the room is (x-6) feet and the area of the room is 84 square feet. Find the length and width of the room. Identify what you know

  • Sarah is carpeting a rectangular room
  • The length of the room is x+2
  • The breadth of the room is x-6
  • The area of the room is 84 square feet.
  • The formula for the area of a rectangle is A=lw
  • I need to find x to find the length and breadth of the room.

Step 3

Make a plan

Methods of building your plan

  • Write down your plan
  • Talk about your plan
  • Make a table
  • Draw a bar graph, line or circle
  • Draw any other type of graph
  • Draw a picture

Example for step 3

The Damsels Theater expects 275 patrons every weekend per new movie. How many new movies they will show if they expect 2200 patrons this week end?

  • For every new movie, 275 patrons come to Damsels Theater
  • 1 movie     =275 patrons
  • 2movies =275*2=550 patrons
  • 3 movies=275*3=825 patrons
  • 275*number of movies=2200 or 275*m=2200(m represents the number of movies)
  • Solve for m to find the answer

Step 4

Carry out the plan

Verify whether the plan is sensible. Check whether you have not missed anything or did not approach the problem in the wrong manner.

Example for step 4

Ben and Jack run a combined distance of 28 miles. Ben runs three times as many miles as Jack. How many miles does Jack run?

The plan

  • B+J=28 where B represents the number of miles run by Ben and J represents the miles run by Jack.
  • B=3*J because Ben runs three times as many miles as Jack.
  • Replace B with 3*J in the equation B+J=28

Carry out the plan

  • 3*J+J=28
  • 4*J=28
  • Solve for J: J=7

Step 5

Verify whether your answer makes sense

In the last step you have two red flags that signal wrong answers

  • Your answer is too big or too small
  • The question remains unanswered

Example for step 5

John is driving from his house to his company. On Monday morning John drives 6 miles north on Peter’s road. Then he drives 8 miles east on Willie’s Road to reach his company. On Tuesday morning, John avoids Peter’s and Willie’s Roads. What is the difference between the number of miles John drives on Monday and Tuesday mornings?

John’s drive to his company resembles a right triangle. You can use Pythagorean Theorem.geometry10 miles is the answer

Verify whether your answer makes sense

No. The answer is the direct distance between John’s company and house. It is not the answer for the question what is the difference between the number of miles John drives on Monday and Tues day mornings?

Make a new plan

  • Find the direct distance
  • Add 6 miles and 8 miles to find the total distance traveled on Peter’s and Willie’s Roads
  • Find the difference between the numbers in steps 1 and 2
  • Distance between the company and house is 10 miles
  • Distance traveled on Peter’s and Willie’s Roads is 6+8=14miles
  • Difference between the numbers 14-10= 4 miles

The answer is correct as per arithmetic and it makes sense.

Doing Algebra word problems through step by step approach is logical easy and fun.

Discount