BusinessCalculus guide
Calculus study guide on one topic: the idea behind it, worked examples step by step and exercises with answers
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Geometry guideFormal Sciences
Payment protectionDetails
- Revisions within the package are free.
- If you do not respond within 3 days of delivery, the work is accepted automatically.
The money is reserved when you pay and released only once you accept the work.
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.
- Move the x terms to one side: take 2x from both sides. 5x − 2x − 4 = 11, so 3x − 4 = 11.
- Move the numbers to the other side: add 4 to both sides. 3x = 15.
- Divide both sides by 3. x = 5.
- 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
- 4x + 3 = x + 18
- 2(x − 5) = 14
- 7 − x = 3x − 9
- 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
In geometry the hard part is often not the formula but seeing what is given and why a step is allowed. This guide takes one topic, such as angles and parallel lines, triangles and congruence, the Pythagorean theorem, similar figures, circles, area and volume or coordinate geometry, and explains the definitions and theorems in plain words, with problems solved step by step and the reason for each step stated. Figures are described simply, with labelled points and steps to sketch them; they are not drawn to scale. Common mistakes and exercises with answers follow. Tell us the grade or course, the textbook and whether proofs are needed. The guide is for learning: we do not solve homework, tests or exams to be handed in, and the exercises are new ones. Check the notation against your course.
What is included
- What you getA PDF and Word file on your geometry topic: definitions and theorems in plain words, problems solved step by step with a reason for each step, figures described with labelled points, common mistakes and exercises with answers. From Standard, a one-page summary sheet with the formulas and theorems of the topic; in Premium, a 20-question self-check test and a separate answer key with short explanations.
- Definitions and theoremsWhat each one says and when to use it
- A reason for each stepWhy a step is allowed, not just the result
- Figures to sketchLabelled points and steps to draw the figure yourself
- Common mistakesWrong angle pairs, mixed units, assuming what must be proved
- At your levelFrom first angles to proofs and coordinates
How it works
- 1TopicYou name the geometry topic, the grade and what is hard
- 2WritingWe write the explanation, solved problems and exercises
- 3DeliveryYou get the guide in PDF and Word on the order page
- 4StudyYou draw the figures, practise and ask for changes within your package
What we need from you
The exact geometry topic, the grade or course, the curriculum and textbook if there is one, whether proofs or calculations matter more, the notation your class uses, what the learner already knows and finds hard, the language, and how the guide will be used. You may attach a syllabus, a list of topics or a page of class notes as Word or PDF files, up to 3. Please do not send graded homework, tests or exam papers to be solved.
We will ask you:
- Which geometry topic?
- For what level?
- What does the learner already know, and what is hard?
- Proofs, calculations or both?
- Language and how the guide will be used
Compare packages
| Packages | BasicUp to 4 pages$8 | StandardUp to 8 pages$16 | PremiumUp to 15 pages with a test$32 |
|---|---|---|---|
| Deadline | 1 day | 2 days | 3 days |
| Revisions | 1 | 2 | 3 |
| Pages | up to 4 | up to 8 | up to 15 |
| Worked examples | 3 | 6 | 10 |
| Exercises with answers | 10 | 20 | 35 |
| Summary sheet | No | Yes | Yes |
| Test and answer key | No | No | Yes, 20 questions |
| Subject | Geometry | Geometry | Geometry |
| Order Basic | Order Standard | Order Premium |
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.
Questions and answers
Can you solve my geometry homework?
No. The guide teaches the topic with new problems and exercises; we do not do homework, tests or exams to be handed in as your own work.
Will there be drawings?
Each figure is described with its labelled points and the steps to sketch it, so drawing it becomes part of the practice. We don't promise precise drawings to scale.
Are proofs included?
If your course needs them, yes: we show how a proof is built, with the reason for every line. Tell us in the brief whether proofs or calculations matter more.
Will it match my course?
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. Print it 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.
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