Easy Math of Linear (Equations and Inequalities) One Variable

Math of Linear (Equations and Inequalities) One Variable
Completion of the set of graphs of linear equations of the variables shown in a number line, in the form of dot (point).
example
Determine the completion of the set of equations
4 (2x + 3) = 10x + 8, if x
variables on the set of integers. Then, draw the number line
completion:
4 (2x + 3) = 10x + 8
8x + 12 = 10x + 8
8x + 12 - 12 = 10x + 8-12 (both sides minus 12)
8x = 10x - 4
8x - 10x = 10x - 4 - 10x (10x minus both sides)
-2x = -4
-2x: (-2) = -4 (-2) (both sides are divided by -2)
 x = 2
Thus, the solution set is {2}.

Easy Math of Linear Inequalities One Variable
In everyday life, surely you've come across or find sentences like the following.
a. Rebbecca weigh more than 52 kg.
b. Josh height 7 cm less than my height.
c. One of the requirements to be members of the Army is his height not less than 165 cm.
d. A bus can carry no more than 55 people.
How sentences are expressed in the form of mathematical sentence? To be able to learn to answer the following description.

1. understanding inequality
In order for you to understand the sense of inequality, try to remember back in elementary school about the matter in writing notation <,>,<,> , and not same.
a. 3 less than 5 written 3 <5.
b. 8 more than 4 written 8> 4.
c. x no more than 9 written x < 9.
d. Two times y is not less than 16 written 2y > 16.
Sentences 3 <5, 8> 4, x < 9, and  are called the inequality 2y >16 .
In general it can be written as follows.
An inequality is always marked by one of the following hyphen.
"<" For less than stated.
">" To declare over.
"<" to represent no more than or less than or equal to.
">" to represent not less than or more than or equal to.

2. Linear Inequalities One Variable
On the front you have learned that an equation is always marked with a hyphen "=". In this section you will learn the characteristics of an inequality.
example
Of the following forms, which specify a linear inequality with one variable.
a. x - 3 <5
b. A < 1 - 2b
c. x2 - 3x > 4
completion:
a. x - 3 <5
Inequality x - 3 <5 has one variable, namely x and rank 1, so x - 3 <5 is a variable linear inequality.
b. A < 1 - 2b
Inequality a < 1 - 2b has two variables, namely a and b, each of which rank 1.
Thus a < 1 - 2b is not a single variable linear inequalities.
c. x2 - 3x > 4
Due to the inequality x2 - 3x > 4 has variable x and x2, then x2 - 3x > 4 is not a single variable linear inequalities in Easy Math of Linear.

 

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Quick Math Methods ONE VARIABLE LINEAR EQUATION

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.
 

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.

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.

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 

 

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