Page 131 - Maths Skills - 7

Algebraic Expressions 129

MIND MAP

Algebraic Expressions

1
Any combination of literal numbers or numerals and variables connected by +, –, *, ÷ i.e. (4x – 3), (8x + )
2

Terms and Its Factors
TERMS Types
It includes a constant, a variable or combination of 1. Monomial
both with multiplication or division. 2. Polynomial
e.g. 4x = 4 × x × x (one term) Binomial
2
2xy– 7y = 2 × x × y – 7 × y (two terms) Trinomial

FACTORS Quadrinomial
Each term is the combination of variable and constant
so, variable literal factors
constant numerical factors
e.g. 4x = 4 × x × x
2
here, 4 Numerical factor
x literal factor

Degree of an Expression

Highest power of term is the degree of
5x + 9 that expression.
2
e.g. 3a + 2a + 7 Degree = 3
2
3
x y + 7xy + 9y Degree = 2 + 3 = 5
2 3

Constant Variable Coefficient
“A quantity which has a “A quantity which takes “A quantity or numerical
fixed numerical value”. different numerical values”. part of term”.
Here, 9 is constant Here, x is variable Here, 5 is coefficient