Study guideFormal Sciences

Study guide on one topic: a plain explanation, worked examples and exercises with answers

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Study guide on one topic: a plain explanation, worked examples and exercises with answers

Example result

Example for the Standard package

Study guide: solving linear equations, for students aged 13–14

The one rule

An equation is a balance. Whatever you do to one side, you do to the other, and the balance stays level. The goal is to get x alone on one side.

Worked example 3: the unknown on both sides

Solve 5x − 4 = 2x + 11.

  1. Move the x terms to one side: take 2x from both sides. 5x − 2x − 4 = 11, so 3x − 4 = 11.
  2. Move the numbers to the other side: add 4 to both sides. 3x = 15.
  3. Divide both sides by 3. x = 5.
  4. Check: 5 × 5 − 4 = 21 and 2 × 5 + 11 = 21. Both sides match.

Common mistake

In 3(x + 2) = 18, many students write 3x + 2 = 18. The 3 multiplies everything in the brackets: 3x + 6 = 18, so x = 4.

Exercises 7–10

  1. 4x + 3 = x + 18
  2. 2(x − 5) = 14
  3. 7 − x = 3x − 9
  4. 3(2x + 1) = 4x + 15

Answers: 7. x = 5 · 8. x = 12 · 9. x = 4 · 10. x = 6

Files: PDF and Word. The guide is for learning: we do not do homework or tests to be handed in.

Client: a parent whose daughter gets lost when an equation has brackets or the unknown on both sides. Task: a guide at middle school level that starts from the basics and builds up to those two cases. Standard package: up to 8 pages, 6 worked examples, 20 exercises with answers and a summary sheet. Excerpt below.

The client and all details are made up.

About this service

A study guide explains one topic in plain words, step by step, at the level you choose: what the idea is and why it works, worked examples solved line by line, common mistakes and exercises with answers to practise on. It suits learners who are revising or catching up, parents helping a child and teachers who need a handout. Tell us the subject and topic, the level or grade, the curriculum or textbook if there is one, and what the learner finds hard. You get a PDF and a Word file; Premium adds a self-check test and a separate answer key. The guide is for studying with, never for handing in: we do not do homework, essays, tests or exams to be submitted as your own work, and the exercises are new ones made for practice. Curricula and notation differ, so check the guide against your course.

What is included

  • What you getA PDF and Word file on your topic: a plain explanation, key terms, worked examples solved step by step, common mistakes and exercises with answers at the end. From Standard, also a one-page summary sheet with the main rules and formulas; in Premium, a self-check test of 20 questions and a separate answer key with short explanations, handy for a teacher or a parent.
  • Plain explanationFrom what the learner already knows to the new idea
  • Worked examplesEvery step written out, not just the answer
  • Exercises with answersFrom easy to harder, to practise and check yourself
  • Common mistakesWhat goes wrong most often and how to avoid it
  • At your levelA school grade, a college course or an adult learner

How it works

  1. 1
    TopicYou name the topic, the level and what is hard
  2. 2
    WritingWe write the explanation, the examples and the exercises
  3. 3
    DeliveryYou get the guide in PDF and Word on the order page
  4. 4
    StudyYou study with it and ask for changes within your package

What we need from you

The subject and the exact topic, the level (school grade, college course or adult learner), the country or curriculum and the textbook if there is one, what the learner already knows and what they find hard, the language, and how the guide will be used: self-study, with a parent or as a class handout. You may attach a syllabus, a list of topics or a page of notes as Word or PDF files, up to 3. Please do not send graded assignments or exam papers to be solved.

We will ask you:

  • Which subject and topic?
  • For what level?
  • What does the learner already know, and what is hard?
  • Which curriculum or textbook should it follow?
  • Language and how the guide will be used

Compare packages

BasicUp to 4 pages$10StandardUp to 8 pages$20PremiumUp to 15 pages with a test$39
Deadline1 day2 days3 days
Revisions123
Pagesup to 4up to 8up to 15
Worked examples3610
Exercises with answers102035
Summary sheetNoYesYes
Test and answer keyNoNoYes, 20 questions
OrderOrderOrder

Payment protection

You pay when you order, but the money is released only for accepted work.

  • Fixed priceThe package price does not change after you pay.
  • The money is reservedWhen you pay, the amount is only reserved. It is released to the service once you accept the work.
  • Checked before deliveryEvery result goes through a quality check before it reaches you, and you see it on the order page before accepting it.
  • Free revisionsAsk for changes within your brief as many times as the package allows.
  • Acceptance after 3 daysIf within 3 days of delivery you neither accept the work nor ask for changes, it is accepted automatically. If you write in the order chat after delivery, the order waits; once we answer, we may start the 3 days again and will say so in the chat.
  • Redo or a full refundIf the result does not match your brief and the revisions did not fix it, or the work takes more than twice its deadline, write in the order chat: we will redo the work or refund the payment in full.
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Questions and answers

Will you do my homework, essay or test?

No. The guide is for learning the topic. We do not do homework, essays, tests or exams to be handed in as your own work; the exercises in the guide are new ones made for practice.

Which subjects can I order?

Any school or college subject that can be explained in writing: maths, statistics, physics, chemistry, biology, history, economics, the basics of law or accounting, music theory and more.

Will it match my curriculum?

We follow the level, curriculum and textbook you name, but programmes, notation and methods differ, so the learner or a teacher should check the guide against the course.

Can a teacher use it with a class?

Yes. You can print the guide and share it with your learners; in Premium the test and the answer key are separate files, so you can hand out the test alone.

Can it be simpler or in another language?

Yes. Choose the language and level in the brief; for a younger learner we use shorter sentences and more everyday examples.

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