Download collecting like and unlike terms

Operation of Algebra

By : Marfuatun Laela
Collecting like and unlike terms
Simplify these expressions where possible
sss
= 4s – 2p
3a + 4w
b
2
s + p +3s -3p
X b
X
2 a X 3Xb
2x3xaxb
6xaxb
6ab
Like Terms
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
Like terms contain the same variable
and have the same power.
Example :
1). 9x and– 13x  like terms because
the variable are same that is x
2). 4a2 and –a2  like terms because
the powers are equal, that is 2.
Unlike Terms


Unlike terms are terms that don’t have
same variable and the power of the
variable is not equal
Example :
1). 2a and 3b  unlike terms because the
variable are not equal
2). 2x2 and 11x  unlike terms, because the
power of its variable is different
Problems
Identify whether it is like term or unlike term)
1. 2x and 5xy
2. 4xy and -3xy
3. 2a and a2
4. x2y and 5xy
5. -3a3 and 2a
Addition and Subtracting
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1.
2.
3.
4.
5.
Example :
Simplify the following algebraic forms !
9a + 2a
10x – 8x
3y – 7y
a2 + 4a2
–2b3 + 4b3
Answer
1). 9a + 2a = (9 + 2)a  distributive law
= 11 a
2). 10x – 8x = (10-2)x
= 2x
3). 3y – 7y = (3-7)y
= -4y
4). a2 + 4a2 = (1 + 4) a2
= 5 a2
5). –2b3 + 4b3 = (-2 + 4) b3
= 2 b3
Multiplication
 Example : Simplify !
1). 5(a + 2b)
2). 7(2x – 5)
Answer :
1). 5(a + 2b) = 5.a + 5.2b
= 4a + 10b
2). 7(2x – 5) = 7.2x + 7.(-5)
= 14x + (-35)
= 14x -35
Problems
8a  4a
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1.
2.
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4.
5.
6.
7.
8.
9.
10.
Simplify the form of these algebra forms!
8a + 4a
3b + -5b
3a + 7b + 4a – 2b
5(3x + 4)
2(4x – 3y)
-2(5p + 3q)
-3(4a -5)
2(a+2b) + 5(a – 4b)
7p + 12q – 2(3p+q)
4(2x-y) – 3(x + y)