*Quick Math Methods ONE VARIABLE LINEAR EQUATION*

1. Understanding Similarities and Association of Settlement

Linear Equations in One Variable Note the open sentence x + 1 = 5.

Open sentence is linked by an equal sign (=). Next, open sentences connected by an equals sign (=) is called equality.

Equations with a single variable or a rank one linear equation of degree one is called a variable.

Linear Equations in One Variable Note the open sentence x + 1 = 5.

Open sentence is linked by an equal sign (=). Next, open sentences connected by an equals sign (=) is called equality.

Equations with a single variable or a rank one linear equation of degree one is called a variable.

If the x in the equation x + 1 = 5 is replaced with x = 4 then the equation is true. As for if x is replaced numbers other than 4 then the equation x + 1 = 5 is false. In this case, the value of x = 4 is called the completion of the linear equation x + 1 = 5.

Furthermore, the completion of the set of the equation x + 1 = 5 is {4}.

Substitute the variable x resulting equation is true is called the completion of linear equations. Completion of the set of all sets of linear equations called linear equations settlement. Try to discuss with your friends instead of the settlement called linear equations.

One variable linear equation is an open sentence is linked by an equal sign (=) and only has one rank of one variable. General form of the equation variables linear one is ax + b = 0 with a X 0.

Of the following sentences, determine which is the linear equation of one variable.

a. 2x - 3 = 5

b. x ² - x = 2

c.1/3x = 5

d. 2x + 3y = 6

completion:

a. 2x - 3 = 5

Variables at 2x - 3 = 5 is x and rank 1, so the equation 2x - 3 = 5 is a linear equation of one variable.

b.x ² - x = 2

Variables in the equation x² - x = 2 is x rank 1 and 2. Since there are x rank 2 then the equation x ² - x = 2 is not a linear equation of one variable.

Substitute the variable x resulting equation is true is called the completion of linear equations. Completion of the set of all sets of linear equations called linear equations settlement. Try to discuss with your friends instead of the settlement called linear equations.

One variable linear equation is an open sentence is linked by an equal sign (=) and only has one rank of one variable. General form of the equation variables linear one is ax + b = 0 with a X 0.

*Quick Math Methods**Example**:*Of the following sentences, determine which is the linear equation of one variable.

a. 2x - 3 = 5

b. x ² - x = 2

c.1/3x = 5

d. 2x + 3y = 6

completion:

a. 2x - 3 = 5

Variables at 2x - 3 = 5 is x and rank 1, so the equation 2x - 3 = 5 is a linear equation of one variable.

b.x ² - x = 2

Variables in the equation x² - x = 2 is x rank 1 and 2. Since there are x rank 2 then the equation x ² - x = 2 is not a linear equation of one variable.

c. 1/3x = 5

Because the variables in the equation 1/3x = 5 is x and rank 1, then 1/3x = 5

a linear equation of one variable.

d. 2x + 3y = 6

Variables in the equation 2x + 3y = 6, there are two, namely x and y, so 2x + 3y = 6 is not a linear equation of one variable.

2. Association of Settlement One Variable Linear Equations by substitution

Completion of one variable linear equations can be obtained by substitution, is replacing variables with numbers corresponding to the equation into a sentence that is true.

Determine the completion of the set of equations

x + 4 = 7, if x is a variable in the set of natural numbers.

If x is replaced natural numbers, is obtained

substitution x = 0, then 0 + 4 = 7 (one sentence)

substitution x = 1, then 1 + 4 = 7 (one sentence)

substitution x = 2, then 2 + 4 = 7 (one sentence)

substitution x = 3, then 3 + 4 = 7 (correct sentences)

substitution x = 4, then 4 + 4 = 8 (one sentence)

It turned out to x = 3, the equation x + 4 = 7 a correct sentence.

Thus, the set of the settlement equation x + 4 = 7 is {3}.

Because the variables in the equation 1/3x = 5 is x and rank 1, then 1/3x = 5

a linear equation of one variable.

d. 2x + 3y = 6

Variables in the equation 2x + 3y = 6, there are two, namely x and y, so 2x + 3y = 6 is not a linear equation of one variable.

2. Association of Settlement One Variable Linear Equations by substitution

Completion of one variable linear equations can be obtained by substitution, is replacing variables with numbers corresponding to the equation into a sentence that is true.

*Quick Math Methods example:*Determine the completion of the set of equations

x + 4 = 7, if x is a variable in the set of natural numbers.

If x is replaced natural numbers, is obtained

substitution x = 0, then 0 + 4 = 7 (one sentence)

substitution x = 1, then 1 + 4 = 7 (one sentence)

substitution x = 2, then 2 + 4 = 7 (one sentence)

substitution x = 3, then 3 + 4 = 7 (correct sentences)

substitution x = 4, then 4 + 4 = 8 (one sentence)

It turned out to x = 3, the equation x + 4 = 7 a correct sentence.

Thus, the set of the settlement equation x + 4 = 7 is {3}.

This series of

*Quick Math Methods*ONE VARIABLE LINEAR EQUATION