How to solve an Equation

Theory of Equation of First Degree

 

To solve an Equation of First Degree follow these steps:

 

  1. If there are parentheses and/or brackets, they are resolved with the necessary operation.

 

  1. If there denominators, it is estimated the m.c.m. and we reduce all fractions to this common denominator.

 

  1. Denominators are removed once they are reduced all terms to m.c.m.

 

  1. All terms are left accompanied by “x” on one side of equality and other terms on the other side of equality.

 

  1. Each term is simplifies the most possible.

 

 

  1. Solve the unknown “x” to calculate its value.

 

Example 1:

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 01

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 02

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 03

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 04

 

Example 2:

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 05

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 06

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 07

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 08

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 09

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 10

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 11

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 12

 
 

Theory of Second Degree Equations

 

To solve as second degree equation follow these steps:

 

  1. If there are parentheses and/or brackets, they are resolved with the necessary operation.

 

 

  1. If there are denominators, it is estimated the m.c.m. and we reduce all fractions to this common denominator.

 

 

  1. Denominators are removed once they are reduced all terms to m.c.m.

 

  1. Each term is simplifies the most possible.

 

  1. All terms are left on a member and it equals to zero.

 

  1. It is applied the following formula:

 

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 13

Example:

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 14

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 15

 

If the equation is incomplete second degree type:

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 16

 

We draw “x” common factor resolved as follows:

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 16

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 17

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 18

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 19

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 20

 

If you type:

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

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Solve “x”:

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 22

 

Example:

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

Bioprofe |How to solve an ecuation| 23

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Equation of First Degree

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(This theory about ecuations continue on the next post “How to solve an ecuation II”)

 

 

 

 

You can download the App BioProfe READER to practice this theory with self-corrected exercises.

 

 

Books that we recommend to extend knowledge of the subject

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