Equation and Inequalities

Equation and Inequalities We can say equation is a statement that shows two mathematical expressions are equal in value. For example, x + 2 = 0. We can say inequation is also a statement that uses the symbols like , , , . We can use these symbols to indicate that one quantity is larger or smaller than other. Example 1: Solve for x: 6x 14 = x + 11 Solution: The given equation is 6x 14 = x + 11 We can add 14 on both sides 6x 14 + 14 = x + 11 + 14 6x = x + 25 Now we can subtract x on both sides 6x x = x + 25 x 5x = 25 Divide by 5 on both sides of the above equation, we get, x = 5. Example 2: Solve the inequality 7x 6 43 Solution: The given inequality is 7x 6 55 We can add + 6 on both sides of the inequation 7x 6 + 6 43 + 6 7x 49 Now we can divide by 7, then we get So the solution of the given inequality is (-, 7]. Or We can write this as x = {.-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7} Example3: Solve the inequality 3x +1 13 Solution: The given inequality is 3x +1 13 We can subtract 1 on both sides of the inequation 3x + 1 1 13 1 3x 12 Divide by 3, Then we get x 4 We can write the solution as x = {4, 5, 6, 7,}

Adding Rational Numbers

Adding Rational Numbers A number of the form p / q, where p and q are integers prime to each other and q 0, is called a rational number or commensurable quantity; here q is taken as a positive integer and p may be a positive integer or negative integer or zero. For example, each of the numbers 5, 2/3, 0.32, 16 etc. is a rational number. Evidently, the number 0 (zero) is a rational number. Adding rational numbers: - Suppose there are two rational numbers a / b and c / d. Then a/ b + c/ d= (a d + b c) / b d Where b 0 and d 0 Example of adding ration numbers: - Simplify 1 / 2 + 3 / 4 Solution: - 1 / 2 + 3 / 4 = (1 * 3 + 2 * 4)/ (2 * 4) = (3 + 8) / 8 = 11 / 8 Simplify the following expression:- 1/ 5 + 2/ 15 + 3/ 10 Solution: - At first we will take the least common factor of the denominators 5, 15 and 10. L.C.M. of 5, 15 and 10 = 30 Now we will divide 30 by each denominator 5, 15 and 10 then multiply with there corresponding numerators. Like 30 / 5 = 6 and 1* 6= 6 Similarly we will proceed for the next two rational numbers. 1/ 5 + 2/ 15 + 3/ 10= (1*6 + 2* 2 + 3* 3) / 30 = (6+4+9)/30 = 19 / 30

Study Guide For ACT Online ACT Prep Online Tutoring Tutorpace

Study Guide For ACT Online ACT Prep Online Tutoring Tutorpace ACT test is a standardized test taken by high school students to study in colleges and universities in the United States. Good ACT scores help a student in getting admission in their desired colleges and the test also prepares a student to take up college-level courses later in their academics. ACT consists of 4 main sections: English, Mathematics, Reading and Science reasoning. Some universities even like to measure the writing skills of a student and therefore ACT offers an additional Writing section which the students can prefer according to their choice. In order to get good scores, students should not go over highly complex topics in a subject. ACT test is meant for all students and complicated questions are never asked on the test. Therefore students should go through the basic and important topics from each subject and practice questions regularly. The English section tests the students in their grammar and rhetoric skills and hence students should pay attention to grammar, sentence structure, clauses in a sentence, punctuations etc. For Mathematics section, students have to learn the important formulas and should know how and where to use them in a given question. Since time is a big constraint, students should practice solving questions quickly and correctly. In Reading section, comprehension passages are given and students must answer the questions based on the given information. For Science section, students must focus on their reasoning skills and for writing section, students must work on their writing skills so that the essay looks neat and meaningful.

Solving Systems By Elimination - Online tutoring

Solving Systems By Elimination - Online tutoring Elimination is a very useful method in mathematics. The method elimination one of the unknown variable is eliminated to find the other variables and vice versa. I helps reduce the given question or solution to a simpler form. Expressions can consist of one or more than one unknown variables with different coefficients and constant numbers. Example 1: Solve by elimination the set of equations x + y = 15 and x y = 7? Solution: The given equations are x + y = 15 and x y = 7. Here x, y are the unknown variables. Eliminate the variable y. Add the two equations gives: (x+ y) + (x y) = 15 + 7. This gives 2x = 22; x = 22/2; x = 11. For the y values x + y = 15; 11 + y = 15. Y = 15 11 = 4. Hence the solution is x = 11 and y = 4. Example 2: Solve by elimination the set of equations x + y = 20 and x y = 6? Solution: The given equations are x + y = 20 and x y = 6. Here x, y are the unknown variables. Eliminate the variable y. Add the two equations gives: (x+ y) + (x y) = 20 + 6. This gives 2x = 26; x = 26/2; x = 13. For the y values x + y = 20; 13 + y = 20. Y = 20 13 = 7. Hence the solution is x = 13 and y = 7.

Places to Find and Share Poetry

Places to Find and Share Poetry All You Need to Know about Writing Poetry and Discovering New Poets ChaptersPoetry Competitions in the UKThe Best Poetry BooksThe Best Poetry WebsitesThe Best Poetry QuotesWhere to Submit PoetryPoetry is an art form which captures the hearts and minds of many. Anyone can be a poet, whether you occasionally take pleasure in noting down interesting phrases which cross your mind, or you’re a songwriter, creating your very own poetry can give you a means to put your emotions into words as well as speaking out about issues close to your heart. To write poetry is to observe and report while you experiment with language to tell a story.Poetry is a unique genre of creative writing which showcases the artistic qualities of language as well as the musicality hidden beneath everyday sentences.Unlike prose, poetry uses the natural rhythm of the words that make up a language to make even free verse distinct from other traditional and modern poetry. Poetry is also about structuring sentences based on the sounds of words; the sonnet (famous in English poetry than ks to Shakespeare) arranged by rhyme scheme, whereas the haiku is arranged by syllables. Each lyric is carefully considered, with no room for meaningless additions to the narrative.Whether you enjoy spending time reading poems you come across, or you’re a keen poet yourself, it can always help to know what’s going on in the world of poetry. Finding out which websites are the best ones to visit to get your daily dose of poetry as well as learning where to look for inspiration for your writing are both useful steps that poetry enthusiasts can take to enhance their poetic experience.If you’re looking for information on how to enter poetry competitions, where to resources to find collections of poetry which suit your personal taste and where you can get inspired, you’ve come to the right place!poetry collection with poems to be enjoyed over and over again.There's nothing quite like relaxing with a collection of poems to enjoy ¦ source: Pixabay - ThoughtCatalogFrom coffee table poem books to anthologies full of poems about certain occasions, there are poetry books for every situation.Here are some of the most popular poetry books on the market at the moment:Poetry by Heart: A Treasury of Poems to Read AloudPoetry by Heart is a compilation of poems to be learnt and recited. Popular among teenagers, the 200 poems were originally published in the anthology as a selection from which competitors of the annual Poetry by Heart competition were to choose the poems they would recite.This anthology has poems to be enjoyed by readers of all backgrounds and ages. With famous pieces from everyone from poet laureate William Wordsworth to Wilfred Owen, as well as lesser-known poets, this book is a brilliant go-to for any lover of poetry.Milk and Honey â€" Rupi KaurThis New York Times Bestseller is a collection of poems from the poet Rupi Kaur. The style of Kaur’s poetry is one which magnifies even the tiniest of moments in the human experience, describing them with an unfamiliar rawness.With a focus on love, pain and femininity, this poetry book is best suited to young adults.The Poetry Pharmacy â€" William SieghartJust as described by its title, The Poetry Pharmacy is a collection of poems for those in need of healing, whether it be from pain, a loss of hope, heartbreak or worry. This anthology is described by Stephen Fry as containing ‘balm for the soul, fire for the belly, a cooling compress for the fevered brow, solace for the wounded, an arm around the lonely shoulder’.poetry can be found just about anywhere.There are also many quotes about the process of penning a poem, which can motivate budding poets to overcome their writers’ block.Here are a few of poetry quotes to get you thinking:“There is not a particle of life which does not bear poetry within it.” - Gustave FlaubertThis quote from French novelist Gustave Flaubert, born in 1821, explains the omnipresence of poetry in every aspect of life. Flaubert’s interests were in lit erary realism, so, perhaps this shows that there is beauty to be enjoyed in even the most mundane parts of life.“Poetry is just the evidence of life. If your life is burning well, poetry is just the ash.” - Leonard CohenA poet and singer himself, Leonard Cohen believes that life is what generates poetry. Perhaps this quote highlights how living your life to the full, exploring, trying new things and learning will inspire your writing. It could also mean that the fuller the life you live, the more you will create.“A poem begins with a lump in the throat.” - Robert FrostHere, poet Robert Frost acknowledges the emotion behind every poem. Though poetry is usually shared and read by many, at its origin, writing a poem is a very personal experience.Where to Submit PoetryHave you written a poem you’re especially proud of? Why not share it with the world? You may even get your work noticed!But where do you start? And what opportunities are available to those who enjoy writing poet ry for fun?All PoetryAll Poetry is dedicated to poets who want some advice on their work. In addition, it acts as a platform for poets to share their work with others. The website also hosts competitions run by its members to encourage writers to experiment with a variety of styles as well as giving their poetry exposure.Poetry LondonPoetry London is a poetry magazine which welcomes submissions from unpublished poets as well as those who are well-known in the poetry world. Pieces must be submitted by post (rather than email), and each poem is carefully read before a decision is made about its suitability for the tri-annual magazine.

Ask an Admissions Expert Drusilla Dee Blackman

Ask an Admissions Expert Drusilla Dee Blackman Varsity Tutors brings you insider tips and advice straight from nationally recognized admissions experts. Drusilla Dee Blackman has had a long and varied career in the field of college admissions. She is the former Dean of Undergraduate Admissions and Financial Aid for Columbia University, as well as the former Dean of Graduate Admissions and Financial Aid at Harvard Universitys School of Arts and Sciences. She has a B.S. from Brown University and an M.A. in psychology from Yale. She is the founder of The Ivy Dean. How far ahead of time should a student begin working on his or her college application? Dee: It is never too early to begin. We advise our students to begin the process at least two or three months prior to their first deadline. This provides them with sufficient time to research colleges, brainstorm ideas, and have each section of their applications reviewed by multiple individualsparticularly the essays. The key is to never procrastinate, as colleges will notice. Students should plan to submit their applications at least two weeks before the deadline. Then, if any unexpected challenges arise, or if any requirements were missed, students have a few weeks to make changes and fix mistakes. What are the best ways to go about selecting a terrific essay topic? Dee: Often, selective colleges make their final decisions based on a students essays, as many qualified students have similar grades and test scores. To pick a terrific topic, the student should start by asking, How am I different from my classmates? By searching for differences in his or her background, experiences, current activities, and future interests, the student can discover unique topic ideas. Then, the student should meet with his or her guidance counselor to discuss the list of ideas. A counselor works with dozens (if not hundreds) of college-bound students each year, and he or she will be able to offer advice on which topic is the most unique and noteworthy. Are there any essay topics you get tired of seeing or would warn students to stay away from? Dee: In my opinion, topics never get boring. Rather, it is the presentation style. While Dean of Admissions at Columbia University, I read thousands of essays that all sounded the same. Many students directly answer the question and fail to creatively include details that distinguish them from other students. Successful essays are those that are introspective. After the student selects a topic for the essay, he or she should then focus on answering three questions related to the topic: Where have I been? Who am I now? And what do I hope to accomplish in the future? This develops an insightful, compelling story. As every students personal story is different, this approach ensures that the essay is interestingregardless of the topic. What is the biggest mistake a student can make on a college application? Dee: Being vague. Students often lack depth in their essays and materials. For any application, students only have a few hundred words to stand out, and it is important to make every word count. For example, merely stating that you were the president of an organization, completed volunteer work, or participated in a sport is not enough information. Colleges want to know about the context surrounding each experience. Why did you participate in the experience? What did you learn? Did the experience impact your way of thinking? What did you accomplish? The scenarios are endless, but as long as the student answers this series of questions for each statement, the student has the best chance of standing out. What is the typical process an admissions officer goes through to evaluate applications? Dee: Each college has a unique process, but there are a few basic similarities. First, colleges check if a student can handle their academic rigor. If a student surpasses the colleges threshold for grades and test scores, then the admissions officers want to learn how he or she will contribute to their student body. This information is found within a students essays, letters of recommendation, activity and honor lists, and short-response answers, which display how a student differs from others in the applicant pool. Often, two or more admissions officers review each application. Once a majority opinion is made, the application will go to a committee for a final decision. As you can see, almost the entirety of the process is subjective; it is important to seek assistance from a teacher, counselor, or independent firm to extensively review each component of your application. Any detail may make a difference in the committees final decision. What do you think is the single most important thing a student should make sure they present in the best possible way on their application? Dee: Fit. Regardless of the specific questions, all admissions offices are (actually) seeking the answer to only one question: Is the student a good fit for our college? To properly answer this question, students must extensively research the college to learn about its curriculum focus, values, campus culture, and opportunities. Then, the student should convey how he or she will contribute to the colleges unique characteristics. How should students go about determining the culture of a university, and whether they would be a good fit? Dee: When possible, students should visit colleges to experience the campus and speak with staff, faculty, and students. College is an expensive investment, and nothing surpasses a first-hand experience to determine your fit. However, visiting a college is not always possible. For the colleges a student cannot visit, he or she should review their website, read student newspapers, and research the college from various sources to learn about the college from different perspectives. A students happiness at a college is an important determinant of academic performance and future success. Students should look past ranking, prestige, and social pressures to find colleges of genuine interest to them. In most cases, a student will naturally gravitate toward some colleges over others. Early-action, early-decision, binding/non-binding, regular decisions...With so many choices when applying, what do you recommend to students? Dee: Often, students spend a significant amount of time debating between these application types. However, in many ways, the different applications are artificial, and solely used to spread the flow of applications. Students should view them the same way. We recommend that students first finalize their college lists. We then tell students to list each college as a reach, target, or safety school. Once organized, students should then apply to at least one college from each category for the early round and spread the rest outcompleting at least one application a weekuntil the regular decision round. This results in a nice, relaxed pace throughout the process. Students should only apply to a binding option if they know with 100% certainty they would attend the college upon acceptance and want to find out their decision earlier. If not, this type of application has no other advantages. How important are grades and standardized test scores when admissions decisions are being made? Dee: Grades and test scores are very important for students to get their foot in the door. As mentioned earlier, these quantitative factors are used primarily as a baseline to determine which students can handle the colleges academic rigor. Then, the essays and other sections are used to make the final decision. Many students believe that there is a formula that consists of ones grades and test scores to determine admission, and this is simply not true. Each year, students with perfect test scores and GPAs get denied. Strong, well-written essays and supplemental materials frequently carry more weight in the process. What tips do you have for students asking their teachers for letters of recommendation? Dee: The importance of these letters is regularly overlooked. Unfortunately, many letters are useless to an admissions committee, as they are vague and lack details. To avoid this, students should carefully select the teachers who write their letters, and you should not pick a teacher solely due to a high grade in his or her class. Colleges want to learn specific details about how a student contributed to the class (to assess how the student will contribute to their campuses). Therefore, students should select teachers who can write about their specific in-class projects, presentations, papers, and other classwork. Then, the student should provide the teacher (either by email, in a letter, or in person) details regarding these in-class accomplishments to remind the teacher. This provides helpful content for the teacher to use in his or her letter. The student should take a similar approach for guidance counselors, except this summary should include a mixture of accomplishments over the students entire four years of high school, including academic highlights, prestigious extracurricular involvements, and noteworthy community contributions. Colleges look to the counselors letter to determine how well a student can balance academic and extracurricular work, while also contributing to the campus as a whole. Visit The Ivy Dean for more information. The views expressed in this article do not necessarily represent the views of Varsity Tutors.

Zero and First Conditional Exercises and Examples with Video

Zero and First Conditional Exercises and Examples with Video How do you know when to use zero conditionals or first conditionals in English? Are you even sure what zero and first conditional sentences are? Here is an explanation, video along with a zero and first conditional exercise to help you.Examples of Zero Conditional SentencesZero conditional sentences are used to make imperative statements and statements of fact, such as:If the temperature is below o Celsius, water freezes.If it rains, well get wet.If today is Friday, tomorrow is Saturday.If you dont have money, you cant buy anything.Examples of First Conditional SentencesFirst conditional sentences are used to talk about real or probable situations, for instance:If I go out for dinner, I will order a cheeseburger.If we dont have money, we can borrow some.If it rains, I wont go to the baseball game.If I eat anymore cheeseburgers, Im going to be sick.If I get sick, I wont go to the movie tonight.Still not sure? Dont worry! We can help you understand with this weeks video and exercise. L earning how to form these more complex sentences will help you express more complicated ideas in English.Zero or First Conditional Video:Zero and First Conditional ExercisesComplete the conditional sentences below in comments, and we will respond. Remember to add a modal verb if the sentence is first conditional.Example: If we (to go) ___ to the grocery store, I _______ (to buy) milk. = If we go to the grocery store, I will buy milk.1. If you go to the grocery store,  ___ (to buy) me some vodka.2. If I talk to your dad, I ______ (ask) him to call you.3. If plants dont have water, sunlight and soil, they ____ (to die).4. If I leave work early, we _____ (to go) to the movies.5. If you have the time, ___ (to call) your mother.Now try writing a zero conditional and a first conditional sentence of your own.Need more help? Try taking an English class with us. YM 1. If you go to the grocery store, buy me some vodka. (zero conditional)2. If I talk to your dad, I will ask him to call you. (first conditional)3. If plants don’t have water, sunlight and soil, they die. (zero conditional)4. If I leave work early, we can go to the movies. (first conditional)5. If you have the time, call your mother. (zero conditional)(first conditional) If it rains, you’ll better take an umbrella.(zero conditional) When you come home, close the window. LOIEnglish YM nice work. You have some problems with number five. If it rains youll better take an umbrella. YOU HAD is a false modal verb. It cannot be used with WILL The correction is: If it rains you HAD BETTER take an umbrella. Luiz If you write a clause starting with when, wouldnt it be a time clause? Of course, you use the same verb tense sequence, but you cant say it is a conditional, can you? iara 1. If you go to the grocery store, You will buy me some vodka. 2. If I talk to your dad, I will ask him to call you. 3.If plants Dont have water, sunlight and soil, they will die. 4.If I leave work early, we will go to the movies. 5 .If you have the time, you will call you mother.

New School Year Ramp Up

New School Year Ramp Up It may feel like summer just started, but next years school year is right around the corner. For kids with ADHD getting back into the swing of things at school can be challenging. A rough start to the school year can be difficult to bounce back from, and for some kids with ADHD it can kick off a downward spiral of low self-confidence and poor academic performance. Use these 5 quick tips in the 30 days leading up to the start of school to help your child with a smooth transition: Get back on a schedule set a routine. Its hard to abruptly transition from the lax routine of summer to early morning wake-ups and routines, especially for kids with ADHD who are prone to having difficulties falling asleep at night and waking up on time in the morning. So, phase in the school-year schedule gradually. Begin by inching back their wake-up time in 15-minute increments in the weeks leading up to the start of school, and make sure youve reached the school wake-up time at least one week before the first day of school. The same goes for bedtime, where later summer bedtimes should be inched back in 15-minute increments until you reach school-appropriate bedtimes at least one week before school begins. Build excitement, not dread. Instead of dreading the end of summer, work on building excitement for the year ahead! Yes, school is stressful for kids with ADHD, but there are many things that kids enjoy about school as well. Engage your child in activities that remind him or her about the fun parts of learning, like museum outings focused on science topics for the upcoming year, or popular and engaging movies about famous inventors or historical time periods. Read bedtime stories that focus on your childs favorite part of school (even if thats recess!). Form strong relationships with the teachers. Strong relationships among parents, teachers, and students are essential when a child has ADHD, and its practically never too early to start laying the foundation for good relationships here. If your school offers an open house, take advantage even if this isnt your childs first year in this school. Meet the teachers, counselors and support staff who will be assisting your child and agree to create a plan together for your childs success. Talk positively to your child about his or her new teacher. Coach your child on how to introduce himself or herself and invite your child to a meeting that both of you attend, when he or she can start to advocate for himself or herself and come up with strategies for getting extra help when needed. If your child has a 504 Plan or an IEP, get a meeting scheduled as early in the school year as possible, and have your child attend the meeting if this is appropriate in your school setting. School supply shopping with organization in mind. You know your child needs notebooks and pens but use school supply shopping as the time to set-up a homework organization plan. Ive written several blogs with recommendations about what your childs homework plan and space should look like and those may be a helpful reference here. The key thing is to get as many pieces of the homework puzzle in place before the first day of school, so your child can start building good homework habits right away. Start building academic skills before the school year begins. Huntington Learning Centers offer summer tutoring programs designed for kids of all ages. For elementary students, summer tutoring can help identify areas of weakness, and work toward developing core skills in reading, writing, and math that are at or above grade level. Your childs instructors can also help set up study skill plans that your child can use from Day 1. Being proactive and planning for the start of the new school year ahead of time can help prevent problems before they start and help your child transition into a new classroom as smoothly as possible. ABOUT DR. MARY ROONEY Mary Rooney, Ph.D., is a licensed clinical psychologist in the Department of Psychiatry at the University of California San Francisco. Dr Rooney is a researcher and clinician specializing in the evaluation and treatment of ADHD and co-occurring behavioral, anxiety, and mood disorders. A strong advocate for those with attention and behavior problems, Dr. Rooney is committed to developing and providing comprehensive, cutting edge treatments tailored to meet the unique needs of each child and adolescent. Dr. Rooney's clinical interventions and research avenues emphasize working closely with parents and teachers to create supportive, structured home and school environments that enable children and adolescents to reach their full potential. In addition, Dr. Rooney serves as a consultant and ADHD expert to Huntington Learning Centers. ABOUT HUNTINGTON Huntington Learning Center is the tutoring and test prep leader. Its certified tutors provide individualized instruction in reading, phonics, writing, study skills, elementary and middle school math, Algebra through Calculus, Chemistry, and other sciences. It preps for the SAT and ACT, as well as state and standardized exams. Huntington programs develop the skills, confidence, and motivation to help students of all levels succeed and meet the needs of Common Core State Standards. Founded in 1977, Huntington's mission is to give every student the best education possible. Call us today at 1.800.CAN LEARN to discuss how Huntington can help your child. For franchise opportunities please visit www.huntingtonfranchise.com. This website does not provide medical advice, diagnosis, or treatment. The material on this site is provided for educational purposes only.