Math

1. Welcome
Md. Abdul Quddus
Department: Mathematics
Campus : 05

2. Chapter : Four
Lesson declaration

3. Today’s lesson
Algebraic operation

4. Learning outcome
At the end of this lesson students will be able. .
 to simplify the equation
 to find the solution of a quadratic equation

5. Simplifying Algebraic Expressions
Commutative Properties
Addition: a b b a  
Multiplication: a b b a  
m r 
12t  
5 y 
8 z 
5y 
8z 
12 t
r m

6. Associative Properties
Addition:    a b c a b c    
Multiplication:    a b c a b c    
  92mr  
  17q r  
 5 3 6   
 2 7 3   
 5 3 6 
 2 7 3  
 17q r 
 92m r 
Simplifying Algebraic Expressions

7. Distributive Property of Multiplication
 a b c ab ac  
 4 6 2x y z  
 5 x y  
 3 2 7x  
5 5x y
6 21x 
4 24 8x y z 
 a b c ab ac  
Simplifying Algebraic Expressions
  km 74 km 74 

8. Simplify each expression by combining like terms.
mm 148  aa6 73 22
 yy
m6 a7 72 2
y
456  zz
z7 1
xxyy  129227
y9 x10 14
 a46
a24
 x98
x72

9.   8325 y
Simplify each of the expressions.
81510 y
   32517  xx
 32577  xx
  1231  yy
1231  yy
132 y
2310 y 151077  xx
223 x

10. Addition and Multiplication Properties
316 x
26 x
mm 4210 
6266 x
8x
m210 
2
2
2
10




m
m5
3
68
a

3
2
a

    3
3
23
a

a6

11. Addition and Multiplication Properties
217716  yy
191y
yy 54104 
11911 y
20y
y14
11
14




 y
y14
 13413  xx
41213  xx
412121213  xxxx
4x
1725 y
217225 y
155 y
5
15
5
5

y
3y

12. Addition and Multiplication Properties
  1026024  x
86084  x
604  x
8684  x
68868684  x
4
60
4
4



 x
15x

13. •Simplify,
4x + 7 – 4 = 3x - 6
Home Work