1. Operation of Algebra
By : Marfuatun Laela

2. Collecting like and unlike terms
Simplify these expressions where possible
s s s
= 4s – 2p
3a + 4w s
+ p
+3s
-3p 2 2 X a X 3 X b b X b
2 x 3 x a x b
6 x a x b
6ab

3. Like Terms
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.

4. 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

5. Problems Identify whether it is like term or unlike term) 2x and 5xy
4xy and -3xy
2a and a2
x2y and 5xy
-3a3 and 2a

6. Addition and Subtracting
Example :
Simplify the following algebraic forms !
9a + 2a
10x – 8x
3y – 7y
a2 + 4a2
–2b3 + 4b3

7. 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

8. 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

9. Problems 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)