1) The document discusses linear equations with one variable (LEOV). It defines key terms like statements, open and closed sentences, equations, and the components of a linear equation with one variable. 2) Examples are provided to illustrate open sentences that can be made into closed sentences or equations by replacing variables with values. Exercises ask the reader to write open sentences as equations and solve simple equations. 3) The final section directs the reader to solve two sample linear equations with one variable, tying together the concepts discussed in the document.

1. LEOV_SMPK PENABUR GADING SERPONG_2012
LINEAR EQUATION WITH ONE VARIABLE
(LEOV)
A. STATEMENTS
A statement is a sentence that can be determined true or false.
Example !
No Statement True or False
1 Ir soekarno is the first president of Indonesia …
2 5 is factor of 12 …
Exercise !
State weather the following are true or false.
a. The number of players in a football team is 12.
b. 2 is not prime number
c. 21+15 35
d. -20 -19
e. A negative number add to a negative number is a positive number
B. OPEN SENTENCES
An open sentence is a sentence which cannot be determined whether it is a correct or
incorrect sentence.
Open sentences that include numbers, variables, and operation symbols in mathematics are
called open mathematical sentences.
A closed sentence is a correct or incorrect sentence.
Open By replacing Closed
sentence
the variables
sentence
Example !
 @ add to 12 is equal to 25
To make the sentence is true, we will replace “ @ “ with 13
Therefore, @ = 13
 M is an even prime number
To make the sentence is true, we will replace the value of “M” with 2
Therefore, M = 2
Exercise !
Solve these open sentences :
No Open sentence Solution
1 “ x “ subtract from 35 is equal to 12 x =…
2 “ B “ is capital city of west java B =…
3 “ ◊ “ is the biggest prime factor of 45 ◊ =…
4 “ T “ is a shape that has three sides T =…
5 The number started from zero is called   =…

2. LEOV_SMPK PENABUR GADING SERPONG_2012
C. EQUATIONS
An open mathematical sentence which contains an equality sign “ = “ is called an
equation.
We may also say that an equation is a statement that two expressions are equal.
The two expressions that make up an equation are called the sides or members of the
equation.
An equation which contains only one variable is called an equation of one variable.
If such equation has degree of one, then we call the equation as the linear equation of
one variable.
A linear equation in the variable x is an equation that can be written in the form :
ax + b = 0 , where a, b are constants (called coefficients)
Example !
No Open Sentence Mathematic Sentence / Equation
1 x is add to 12 is equal to 25 x + 12 = 25
2 The product of y and 15 is 60 15y = 60
EXERCISE ! Write the following statements in the form of equations.
No Open Sentence Mathematic Sentence /
Equation
1 The sum of three times x and 11 is 32 …
2 If you subtract 5 from 6 times a number, you get 7 …
3 One third of a number plus 5 is 8 ...
4 The difference between x and 5 is 9 …
5 The number b divided by 5 gives 6 …
6 One fourth of a number minus 4 gives 4 …
7 If you add 3 to one third of z, you get 30 …
8 Seven times m plus 7 gets you 77 …
9 One fifth of a number minus 4 gives 3 …
10 If you take away 6 from 6 times y, you get 60 …
11 The sum of x and y …
12 The difference between x and y, x > y …
13 The product of x and y …
14 The division of a by b ….
15 The sum of the square of x and y ….

3. LEOV_SMPK PENABUR GADING SERPONG_2012
D. SOLVING LEOV
YOUR TURN ! Solve the following equations.
3 ( x + 1 ) – 5 = 13 5 ( 3x – 1 ) + 22 = 7 ( 3x – 1 )

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