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Simplifying
Algebraic 
Expressions
G R A D E 7 M A T H E M A T I C S
Page 2


Simplifying
Algebraic 
Expressions
G R A D E 7 M A T H E M A T I C S
Combining boxes with the same fruit is the same as combining like terms. 
Introduction
Suppose you have boxes of apples and oranges for which you do not
know the exact quantities. How will you simply express the total
number of fruits?
Page 3


Simplifying
Algebraic 
Expressions
G R A D E 7 M A T H E M A T I C S
Combining boxes with the same fruit is the same as combining like terms. 
Introduction
Suppose you have boxes of apples and oranges for which you do not
know the exact quantities. How will you simply express the total
number of fruits?
Like and Unlike Terms
and  
and  
and  
L I K E T E R M S
Terms that have exactly the same 
combination of variables
Page 4


Simplifying
Algebraic 
Expressions
G R A D E 7 M A T H E M A T I C S
Combining boxes with the same fruit is the same as combining like terms. 
Introduction
Suppose you have boxes of apples and oranges for which you do not
know the exact quantities. How will you simply express the total
number of fruits?
Like and Unlike Terms
and  
and  
and  
L I K E T E R M S
Terms that have exactly the same 
combination of variables
Like and Unlike Terms
and  
and  
and  
Terms that have different variables or
have the same variables but have
different exponents
U N L I K E T E R M S
Page 5


Simplifying
Algebraic 
Expressions
G R A D E 7 M A T H E M A T I C S
Combining boxes with the same fruit is the same as combining like terms. 
Introduction
Suppose you have boxes of apples and oranges for which you do not
know the exact quantities. How will you simply express the total
number of fruits?
Like and Unlike Terms
and  
and  
and  
L I K E T E R M S
Terms that have exactly the same 
combination of variables
Like and Unlike Terms
and  
and  
and  
Terms that have different variables or
have the same variables but have
different exponents
U N L I K E T E R M S
Like terms
Write as it is.
Rearrange and group like terms.
Identify like terms.
Add or subtract the integer coefficients
of like terms, then copy the variable.
Write the unlike term as it is.
Simplifying Expressions
with Integer Coefficients
3
2
1
S I M P L I F Y :
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