الدرس:حل المعادلات من الدرجة الاولى ذات مجهول واحد

Von 36.19 € /Std

في هذا الدرس نعطي تعربفا للمعادلة من الدرجة الأولى بمجهول واحد و نتعرف على تقنية حل هذا النوع من المعادلات بإعتماد القواعد و الخاصيات التي تنظم حل المعادلات. في الأخير نتطرق غلى بعض المعادلات التي تؤول في حلها غلى معادلة من الدرجة الأولى بمجهول واحد.
تعريـــف :
a و b و x أعداد حقيقية .
كل متساوية على شكــل : ax + b = 0 تسمى معادلة من الدرجة الأولى بمجهول واحد هو x.
حل معادلة يعني إيجاد القيمة العددية للمجهول x التي تحقق المعادلة . مثلا حل المعادلة 2x - 6 = 0 هو 3 لأن :
0 = 6 - 3 × 2.
بصفة عامة :
** - إذا كان : a يخالف 0 و b يخالف فإن : للمعادلة ax + b = 0 حــلا وحيدا هو b/a-.
** - إذا كان : a يخالف 0 و b يساوي فإن : للمعادلة ax + b = 0 حــلا وحيدا هو العدد 0 .
** - إذا كان : a يساوي 0 و b يساوي فإن : للمعادلة ax + b = 0 عدة حلول .
** - إذا كان : a يساوي 0 و b يخالف فإن : المعادلة ax + b = 0 ليس لها حـــلا .

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Narayan

4.9

(49)

I am a MSc in Civil Engineering, M.Sc in Finance and Economics, and an MBA graduate with over 14 years of experience teaching Mathematics up to the undergraduate level. Over the years, I have worked with a wide range of students and have successfully helped them excel in their studies. In addition to my extensive teaching background, I have more than 7 years of experience guiding students through standardized tests such as the GRE and SAT. My goal is to help you master these tests with effective strategies and a clear understanding of the subject matter.

My Mathematics lessons are tailored for students of all levels, including:
Master and Bachelor Students (subjects like Financial Mathematics, Business Mathematics, Basics of Mathematics for data science students, etc)
Pre-university students
IB (Math SL and Math HL) students
AS/A-level students
European S6 and S7 students
GCSE and IGCSE students
Primary school students

In addition to Mathematics, I also offer tutoring in Physics and Chemistry for students up to the European upper secondary level, as well as IB and A-level students.

For Biology, I provide comprehensive lessons for students up to the European Secondary level, GCSE, and IGCSE levels. My teaching style is flexible and adaptable, ensuring that every student receives personalized guidance based on their learning style and goals.

Currently, I am teaching a diverse group of students from different educational backgrounds.

My current students are from the following schools:

National:
1. St Georges International School, Luxembourg, Edexcel (Pearson) Curriculum (10 students)
2. International School of Luxembourg, Luxembourg, IB Curriculum (6 Students)
3. Lycée Athénée de Luxembourg, Luxembourg, IB Curriculum (4 Students)
4. Lycée - International School Michel Lucius, Luxembourg, Cambridge Curriculum (6 Students)
5. European School Kirchberg, Luxembourg, European Curriculum (4 students)
6. Lycée Aline Mayrisch, Luxembourg, Luxembourgish curriculum (1 student)
7. Lënster Lycée International School, Luxembourg, European Curriculum (2 Students)

International:
8. International School of the Hague, Netherlands, IB Curriculum (1 student)
9. International School Of Nice, France, IB Curriculum (2 students)
10. Merchiston Castle School, Edinburgh, Scotland, Edexcel (Pearson)/Cambridge (1 students)
11. Silverline Private School, Limassol, Cyprus, UK national Curriculum (1 Student)
12. North Broward Preparatory School, Florida, USA, IB Curriculum (1 Student)
13. King Solomon School, Israel, IB Curriculum (1 student)
14. The European School of Bergen, The Netherlands, European Curriculum (1 student)

Additionally, I offer homework assistance and track each student's progress through periodic assessments, which can be scheduled based on the requirements of both students and parents.

Note: While some of my students follow curriculums in French, German, or Swedish, my primary language of instruction is English. Given that Mathematics is a universal language, it’s easy to understand the tasks, and I explain solutions clearly in English, ensuring a seamless learning experience for all.

Let’s embark on this learning journey together and achieve your academic goals with confidence!

Kateryna

4.9

(49)

I have more than 15 years of experience in teaching and preparing international exams.
As a teacher I always try to determine student's needs and find a programm that fits them best.
Also I consider it important to improve, attending various seminars and webinars.
I use the most modern training materials, visual aids and videos.
In class I show gentleness and patience, helping students to believe in themselves.

Khalil

4.9

(49)

إذا شعرت يومًا أن العلوم والرياضيات صعبة، فمن المحتمل أن السبب في ذلك هو أن لا أحد علمك كيفية التفكير كحل للمشكلات.
في فصولي الدراسية، لن تتعلم الصيغ أو التعليمات البرمجية فحسب، بل ستتعلم أيضًا كيفية فهم المفاهيم حقًا وتطبيقها وبناء حدس منطقي قوي.

أنا أعلم:
• 🔢 الرياضيات: من الجبر وحساب التفاضل والتكامل إلى حل المشكلات التطبيقية للاستخدام في العالم الحقيقي.
• 💻 علوم الكمبيوتر: أساسيات البرمجة (Python وC++)، والخوارزميات، والتفكير المنطقي للمبتدئين والمتعلمين المتوسطين.
• ⚛️ الفيزياء: الميكانيكا، والديناميكا الحرارية، والأمثلة العملية التي تجعل الأفكار المجردة بسيطة ومرئية.

بصفتي مهندس برمجيات وطالب ماجستير في الهندسة بجامعة ناغويا، أجمع بين المعرفة الأكاديمية والخبرة العملية من مشاريع واقعية. أسلوبي في التدريس تفاعلي، بصري، ويركز بشكل كبير على الفهم بدلاً من الحفظ.

دعنا نحول المشكلات المعقدة إلى رؤى واضحة خطوة بخطوة - ونجعل التعلم شيئًا تستمتع به حقًا.

Armend

4.9

(49)

Étudiant en bachelor en science économie et de gestion propose des cours particuliers en mathématiques.
J'ai obtenu mon baccalauréat avec une spécialisation en mathématiques et en physique et je dispose de connaissances suffisantes en mathématiques, physique, chimie, allemand, anglais et français.
Dans mon enseignement, je m'adapte aux conditions d'apprentissage et à la vie de l'élève afin de renforcer sa confiance en lui et de m'assurer qu'il comprend les cours et progresse.

Mon objectif est de créer un environnement d'apprentissage efficace. Je m'appuie sur le cours de l'élève, que je complète si nécessaire par des informations supplémentaires.

Pia

4.9

(49)

High School Math can be confusing for students. Often there is not enough time in school to repeat the content and practice enough, for the students to gain confidence and a routine in solving mathematical problems. With my help and guidance, any confusion will be cleared and we will practice problem solving until you are confident and understand the material.

The lessons will be tailored to your needs and their structure depends highly on you: usually it is a mixture of repeating the content, solving exercises together, summarising important concepts and talking about exercises you tried yourself at home. The topics, content, pace and methods of learning will be adjusted to your needs, ensuring that you get the most out of my lessons. Besides the lessons, you will get "homework" to work on to strengthen your skills and independent working.

Topics include, but are not limited to:
-Linear Algebra
-Calculus
-Trigonometry
-Geometry
-Set Theory
-Analysis

If you have another topic in mind that you really need help with, just send me a message!

Whether you need someone that explains the concepts to you or just someone to practice exercises with - I am sure I can help you. You have an exam soon and want to review the main topics? No problem! You have a very specific problem, question or topic that you need help with? I'm here to answer any questions! You need help with preparing for your A-levels/High School diploma? Don't fret, I will guide and prepare you!

The most important part of my lessons is, however, to ensure a safe and comfortable environment - I have no issue with explaining the same concept over and over again until I am convinced that you have understood it. It is important to me that you feel comfortable in asking any questions - I want to show you, that Math is more than a subject and that it can be fun!

Baia

4.9

(49)

Struggling with school math or aiming for exam excellence? In this class, I make complex topics simple, clear, and even enjoyable. From middle school to university level math, I adapt to every student's level and mindset. Whether it's building strong foundations or mastering advanced concepts, you or your child will walk away feeling confident, capable, and ready to shine.

✨ Personalised approach
📚 Clear explanations + real understanding
🏆 Proven results in IB, OMPT, VWO & more

Let’s turn “I don’t get it” into “I’ve got this!”
Book the first session and see the difference.

Volodymyr

4.9

(49)

A Cambridge and UniVie Grad and a soon-to-start PhD student in Computer Science and Mathematics at ISTA to teach Maths, Stats, CS and/or Computational Biology/Programming modules.
Ich spreche auch Deutsch und kenne mich mit dem Schulmaterial (z.B. Matura) und Modulen aus Uniprogramm (BSc Mathe auf Uniwien) aus.

If your goal is not just to learn some formulas by heart, but to gain a deep insight into how mathematical topics are interconnected, or to get a hand at coding and how to think algorithmically to solve complex tasks – I am just the right fit for you or your child. Additionally, I am personally familiar with the British educational system – from A-Levels (3 x A*) to University (MSc/MPhil from Cambridge with distinctions).

Kalthom

4.9

(49)

العلوم الطبيعية؟ لا مشكلة! 😎
مرحباً! أساعدك على تعلم العلوم بسهولة ووضوح. أشرح المواضيع المعقدة بطريقة تجعلها مفهومة تماماً. هدفي هو أن تفهم ما تتعلمه حقاً، لا أن تضيع وقتك هباءً. أنا شغوف بالعلوم، وسأريك أن التعلم يمكن أن يكون ممتعاً!

Luca

4.9

(49)

I offer mathematics tutoring for children and teenagers.

My approach goes beyond simply teaching math. My main objective is to help students learn how to learn. Many students struggle not because they are “bad at math,” but because they were never shown how to understand, practice, and think independently. That is exactly what I focus on.

From my own experience, I understand how frustrating and demotivating the school system and traditional classes can feel when explanations are unclear or rushed. That is why I take the time to explain concepts step by step, in a calm and structured way, until they truly make sense.

I aim to build confidence, logical thinking, and independence, so students don’t just solve exercises during the lesson, but are able to approach problems on their own afterward. My goal is for students to realize that learning is not as difficult as it may seem — and that with the right explanation, it can actually feel manageable and motivating.

Lessons are adapted to each student’s level and needs and can include homework support, exam preparation, or strengthening fundamentals.

Ismail

4.9

(49)

Die Fächer die ich unterrichte, verlangen in den Jahren in der Oberstufe ein Vorwissen, welches die Schüler in den jungen Jahren lernen. Dabei möchte ich ihnen helfen. Dafür dass die Schüler das erwartete Vorwissen haben und bestens auf die darauf folgenden Jahre vorbereitet sind.

Paul

4.9

(49)

Hello everyone :)
My name is Paul, I'm 30 years old and I have a bachelor's degree in mathematics. I have been teaching private math lessons for a long time and I love continuing to do so on this platform. I really enjoy helping people solve problems, get better at math and lose their fear of taking the next test. Together we can move mountains. If you would like to find out more about working together, just send me a quick message and I will get in touch with you. See you soon!

Bugraislam

4.9

(49)

Les mathématiques demandent avant tout de la méthode, de la logique et de la régularité. Ce cours a été conçu pour aider les élèves à comprendre en profondeur, reprendre confiance et progresser durablement.

Le contenu est adapté au niveau collège / secondaire et couvre notamment :
• arithmétique et calculs
• fractions, pourcentages et proportions
• équations et inéquations
• fonctions de base
• géométrie (aires, volumes, angles)
• raisonnement logique et résolution de problèmes

La pédagogie est progressive et structurée, avec des explications pas à pas, de nombreux exemples, des exercices guidés et des méthodes claires pour réussir les contrôles et examens.

Les cours peuvent être donnés en ligne (partage d’écran, tableau interactif, supports PDF) ou en présentiel selon disponibilité.

Laura

4.9

(49)

Je propose des cours d’appui scolaire en mathématiques, français et allemand pour les élèves du primaire et secondaire ( 1ère année de lycée)
Je vais t’aider avec tes devoirs à domicile, explications adaptées, préparation aux tests ect.
Je peux aussi donner des exercices supplémentaires pour t’entraîner si besoin!

Matias

4.9

(49)

Mathematics and Physics are foundational subjects that develop logical thinking, problem-solving skills, and a deep understanding of how the world works. However, students often feel overwhelmed by abstract concepts, formulas, and problem sets when they are not explained clearly or applied correctly.
I’ve designed this course as a practical and structured guide to Mathematics and Physics, specifically aimed at helping students truly understand the concepts rather than memorize formulas.

You’ll learn how to break down complex problems step by step, understand the reasoning behind formulas, apply mathematical tools to physical situations, and strengthen your analytical thinking through guided examples and practice exercises.

Markus

4.9

(49)

Ich biete verständliche und geduldige Online-Nachhilfe in Mathematik für Schüler*innen der Unterstufe an. Individuelle Unterstützung, gezielte Prüfungsvorbereitung und Hilfe bei Hausaufgaben. Flexibel, bequem von zu Hause aus. Jetzt starten!