Equations: 4th grade math lessons for download PDF.

The course on equations of the first degree with one unknown with the definition and the properties of solving an equation and then the method of solving problems in the fourth grade (4e) is to be understood completely. The student should be able to solve an equation with the various properties of the course with transposition of terms and factors in each of the members.

We will end this lesson by trying to solve problems from everyday life in the fourth grade.

I. First degree equations with one unknown

Definition:

An equation of the first degree with one unknown is any equality that can be reduced to

to the following form: ax + b = c (with a, b and c three given relative numbers).

  • x is called the unknown of this equation.
  • the expression to the left of the = sign is called the “first member” of the equation.
  • the expression to the right of the = sign is called the “second member” of the equation.
  • Solving an equation means finding all values of x such that the first member is equal to the second member.

Examples:

Here are some equations but they are not necessarily of the first degree with one unknown.

  • 2x^2-3=7x+4
  • a^3+3a^2b+7a=5a^2-ab
Ownership:
  • The solutions of an equation are not changed if the same quantity is added (or subtracted) to each member of the equation.
  • The solutions of an equation are not changed by multiplying (or dividing) each member of the equation by a non-zero relative number.

Example:

Solve the equation 7x+2=4x+9.

7x+2-4x=4x+9-4x

3x+2=9

3x+2-2=9-2

3x=7

x=\frac{7}{3}

The solution of this equation is x=\frac{7}{3}.

II. Solving first degree problems with one unknown

Here are the different steps to solve first degree problems with one unknown :

Methodology:

1) Choice of the unknown

2) Putting it into an equation

3) Solving the equation

4) Verification

5) Conclusion

Applications:

Problem 1:

A two-pan balance is in equilibrium when 10 cubes and a mass of 2 kg are placed on one pan and 2 cubes and a mass of 30 kg on the other. What is the mass of a cube?

Problem 2:

A father is 30 years old and his son is 10 years old.

In how many years will the father’s age be double that of the son?

Problem 3:

Bleach is used diluted. A 2% diluted solution contains 2 cl of bleach and 98 cl of water to form one liter (100 cl) of solution. A 30% diluted solution contains 30 cl of bleach to form one liter (100 cl) of solution.

How much 30% solution must be added to 1 liter of a 2% solution to make a 10% solution?

Problem 4:

A 10 m high tree and a 2 m high pole are located opposite each other on each bank of a 30 m wide river. At the top of each of them is perched a bird. They both launch themselves at the same speed and at the same time on a poor fly that taunts them on the surface of the water. By a magical effect of Mother Nature, they reach it at the same time and smash their beaks in a more than vigorous contact, and thus find themselves empty-handed.

How far from the foot of the tree was this miraculous fly?

Cette publication est également disponible en : Français (French) العربية (Arabic)

Télécharger puis imprimer cette fiche en PDF

Télécharger ou imprimer cette fiche «equations: 4th grade math lessons for download PDF.» au format PDF afin de pouvoir travailler en totale autonomie.


D'autres fiches dans la section 4th grade math class




Télécharger nos applications gratuites Mathématiques Web avec tous les cours,exercices corrigés.

Application Mathématiques Web sur Google Play Store.    Application Mathématiques Web sur Apple Store.    Suivez-nous sur YouTube.


D'autres articles analogues à equations: 4th grade math lessons for download PDF.


  • 98
    Pyramid and cone: 4th grade math course download PDF.The pyramid and the cone are a very important chapter in eighth grade math. The student will need to know all the definitions as well as the different vocabulary regarding faces, vertex, base and height. Thus, it must also develop skills in calculations with the formulas of volume: I. The…
  • 97
    Equations: 3rd grade math course download PDF.A course on solving the first degreeequation with one unknown and studying problems leading to an equation is timely for student development. We will see the different properties of solving an equation. The student will need to know the definition of an equation and how to use the various properties…
  • 97
    Homotheties: 3rd grade math course to download in PDF.A course on homotheties with the definition of the transformation as well as the different properties of conservation and the effects on the enlargement or reduction of figures. The student should be able to construct the image of a figure by a homothety of center O and ratio k using…
Les dernières fiches mises à jour

Voici la liste des derniers cours et exercices ajoutés au site ou mis à jour et similaire à equations: 4th grade math lessons for download PDF. .

  1. Integrals : corrected high school math exercises in PDF.
  2. Intégrales : exercices de maths en terminale corrigés en PDF.
  3. الوظائف والحدود: تمارين الرياضيات في السنة النهائية مصححة بتنسيق PDF.
  4. Functions and limits: senior math exercises corrected in PDF.
  5. Fonctions et limites : exercices de maths en terminale corrigés en PDF.


Inscription gratuite à Mathématiques Web. Mathématiques Web c'est 2 146 115 fiches de cours et d'exercices téléchargées.

Copyright © 2008 - 2023 Mathématiques Web Tous droits réservés | Mentions légales | Signaler une Erreur | Contact

.
Scroll to Top
Mathématiques Web

FREE
VIEW