Definition Variable – A variable is a letter or symbol that represents a number (unknown quantity).
8 + n = 12

Definition :

Definition A variable can use any letter of the alphabets.
n + 5
x – 7
w - 25

Definition :

Definition Algebraic expression – a group of numbers, symbols, and variables that express an operation or a series of operations.
m + 8
r – 3

Example :

Example Evaluate an algebraic expression – To find the value of an algebraic expression by substituting numbers for variables.
m + 8 m = 2 2 + 8 = 10
r – 3 r = 5 5 – 3 = 2

Example :

Example Simplify – Combine like terms and complete all operations
m = 2
m + 8 + m
2 m + 8
(2 x 2) + 8 4 + 8 = 12

Words That Lead to Addition :

Words That Lead to Addition Sum
More than
Increased
Plus
Altogether

Words That Lead to Subtraction :

Words That Lead to Subtraction Decreased
Less
Difference
Minus
How many more

Write Algebraic Expressionsfor These Word Phrases :

Write Algebraic Expressionsfor These Word Phrases Ten more than a number
A number decrease by 5
6 less than a number
A number increased by 8
The sum of a number & 9
4 more than a number n + 10 w - 5 x - 6 n + 8 n + 9 y + 4

Write Algebraic Expressionsfor These Word Phrases :

Write Algebraic Expressionsfor These Word Phrases A number s plus 2
A number decrease by 1
31 less than a number
A number b increased by 7
The sum of a number & 6
9 more than a number s + 2 k - 1 x - 31 b + 7 n + 6 z + 9

Evaluate each algebraic expression when x = 10 :

Evaluate each algebraic expression when x = 10 x + 8
x + 49
x + x
x - x
x - 7
42 - x 18 59 20 0 3 32

Complete This Table :

Complete This Table 2 7 18 29

Write an Algebraic Expression for These Situations :

Write an Algebraic Expression for These Situations Scott’s brother is 2 years younger than Scott
The sum of two numbers is 12
The difference between two numbers is 5 s - 2 a + b = 12 m – n = 5

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