Algebra 1

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Algebra 1 is a generalized form of Arithmetic. In arithmetic, we use numbers, such as: 5, -8, 0.64., etc., each of which has one definite value; whereas in Algebra, we use letters along with numbers.
 

For examples: -
·         7x

·         3x – 2
·        5a + b
·        2 y – 5 x
·         X + 2 y – 7 z etc.

The letters used in Algebra are called variables or literal or simply literals. Which do not have fixed values.

 
Signs and symbols: - In Algebra, the signs +, -, x and ÷ are used in the same sense as in Arithmetic.

Also, the following signs and symbols are frequently used in algebra which have the same meanings in every branch of Mathematics.

 
Signs Means
= Equal to
Not equal to
Less than
Greater than
Less than equal to
Greater than equal to
~ Difference between
Almost equal to
 


To write a given statement in algebraic form.


 
Statement Algebraic Form
x subtracted from 8 is less than y 8 – x < y
y divided by 5 equals 2 y/5 = 2
z increased by 2 x is 23 z + 2 x = 23
The sum of 2 and x is greater than y 2 + x > y

 
Conversely,
 

 
Algebraic form Statement
x + y = 3 Sum of x and y is equal to 3.
p – 5 ≠ x p decreased by 5 is not equal to x
5 x > 7 Product of 5 and x is greater than 7
8 / y < 3 8 divided by y is less than 3
 




 

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