It's a ppt of constant and variable

1. SHARDEIN SCHOOL
Class – 7
ALGEBRAIC EXPRESSION

2. VARIABLE AND CONSTANT
 A variable is a letter or symbol that can take
different values.
 For Example:-In 2x+3 , x is a variable (it can
be 1, 2, 5, 10, …).
 A constant is a fixed number whose value
never changes.
 Example: In , numbers 2 and 3 are constants.
 Like your name or date of birth – it stays the
same.

3. ALGEBRAIC EXPRESSION
 An algebraic expression is a combination
of constants, variables, and
mathematical operations like (+, −, ×,
÷).
 It does not have an equal sign (=).
 For Ex:- 3x+5 ,2a-b

4. TERMS

 A term is a single part of an algebraic
expression.
 It may be a number, a variable, or both
multiplied together.
 Example: In , the terms are 3x, 5y, and -7.
 COEFFICIENT
 A coefficient is the number that multiplies a
variable.
 Example: In , the coefficient of is 7.
 In , the coefficient is -4.

8. VIDEO

11. MULTIPLICATION
By monomial:
By Binomial:

12. BINOMIAL TO BINOMIAL
PRODUCT BY COLUMN METHOD

13. VIDEO

14. FIND THE VALUE OF PRODUCT BY
SUBSTITUTING THE VALUES OF VARIABLES
1. find the product of
s(s^2 - st) and find its value for s=2 and t=3
SOLUTION:-
you simply need to multiply the terms together:
s(s^2 - st) = s^3 - s^2t
Now, substituting ( s = 2 ) and ( t = 3 )
[ (2)^3 - (2)^2(3) = 8 - 4(3) = 8 - 12 = -4 ]
So, the value of ( s(s^2 - st) ) when ( s = 2 ) and ( t = 3 ) is
( -4 ).

15. WORKSHEET
1. Simplify the following expressions
a) ( 5(x + 2) - 2(3x - 4) )
b) ( 2(4a - 3b) - 3(2a + 5b) )
c) ( 3(2x - y) + 4(x - 3y) )
2. Find the product of the following expressions:
a) (x+2)(x−3)
b) (2a+5b)(3a−4b)
c) (3x−4y)(2x+3y)
3. Simplify the following expressions:
a) ( 3x + 2y - x + 5y )
b) ( 4a - 2b + 3a + 6b )
c) ( 2x - 5y + 7x - 3y )

16. CORE CONCEPTS
- VARIABLES AND CONSTANTS: VARIABLES THAT REPRESENT
UNKNOWN QUANTITIES, WHILE CONSTANTS ARE FIXED VALUES.
- EXPRESSIONS : FORMED BY COMBINING VARIABLES AND
CONSTANTS USING +,-,X AND ÷
- TERMS: INDIVIDUAL PARTS OF AN EXPRESSION SEPARATED BY
ADDITION OR SUBTRACTION SIGNS.
- ADDITION AND SUBTRACTION OF EXPRESSIONS: TO ADD OR
SUBTRACT EXPRESSIONS, COMBINE LIKE TERMS AND SIMPLIFY. PAY
ATTENTION TO SIGNS WHEN ADDING OR SUBTRACTING TERMS.
- MULTIPLICATION OF EXPRESSIONS: INVOLVES DISTRIBUTING EACH
TERM IN ONE EXPRESSION BY EVERY TERM IN THE OTHER
EXPRESSION AND THEN COMBINING LIKE TERMS.