Logic guideFormal Sciences

Logic study guide on one topic: clear rules, truth tables, solved examples and exercises with answers

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Logic study guide on one topic: clear rules, truth tables, solved 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

Logic is taught in mathematics, philosophy and computer science, and each course writes it a little differently. This guide takes one topic you choose, such as statements and connectives, truth tables, valid and invalid arguments, common fallacies, rules of inference and simple proofs, quantifiers, or sets and Venn diagrams, and explains it in plain words with the symbols your course uses. Worked examples go step by step, from turning an everyday sentence into symbols to checking whether a conclusion really follows, then come common traps and exercises with answers. Venn diagrams are described region by region in words and tables. Tell us the course, the symbols and the textbook. The guide is for learning: we do not do homework, tests or exams to be handed in, and the exercises are new ones. Check the symbols against your course.

What is included

  • What you getA PDF and Word file on your logic topic: the topic in plain words with your course's symbols, worked examples step by step, truth tables row by row, common traps and exercises with answers. From Standard, a one-page summary sheet with the symbols, laws and rules; in Premium, a 20-question self-check test and a separate answer key with short explanations.
  • From words to symbolsTurning sentences into statements and back
  • Truth tablesBuilt row by row, so every case is checked
  • Valid or notChecking whether a conclusion really follows
  • Common mistakesAffirming the consequent, 'if' vs 'only if', wrong negations
  • At your levelSchool maths, intro philosophy or discrete maths

How it works

  1. 1
    TopicYou name the topic, the course and its symbols
  2. 2
    WritingWe write the explanation, worked examples and exercises
  3. 3
    DeliveryYou get the guide in PDF and Word on the order page
  4. 4
    StudyYou practise with it and ask for changes within your package

What we need from you

The exact logic topic, the course (maths, philosophy or computer science) and level, the textbook or lecture notes, the symbols your course 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 logic topic?
  • Which course is it for?
  • What does the learner already know, and what is hard?
  • Which symbols does your course use?
  • Language and how the guide will be used

Compare packages

BasicUp to 4 pages$9StandardUp to 8 pages$17PremiumUp to 15 pages with a test$32
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
SubjectLogicLogicLogic
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

Can you do my logic assignment?

No. The guide teaches the topic with new examples and exercises; we do not do homework, tests or exams to be handed in as your own work.

Is it maths logic or philosophy logic?

Either. Tell us the course and we use its symbols and examples: arguments in everyday language for philosophy, sets and proofs for discrete maths.

Do you cover informal fallacies?

Yes, as a topic of its own: we explain common fallacies with new everyday examples and exercises to spot them.

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. Symbols in particular vary, so tell us yours.

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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