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What are the terms and the coefficients in an expression?

In an expression, for example, 2x + 3xy, LEARNING
2x is the product of the number 2 and the variable x. STANDARDS
3xy is the product of the number 3 and the variables x and y. Identify the terms in an
algebraic expression.
2 x 3 xy Hence, state the possible
coefficients for the
algebraic terms.
Number Variable Number Variable

2x dan 3xy are known as algebraic terms.

5
Identify the algebraic terms for each of the following
CHAPTER
5 Is x an algebraic term?
algebraic expressions. Explain.
x
(a) x + 5x (b) – 7y
8
2
(c) pq – 2q + 13 (d) m – 2m + n – 6
id ou now
(a) x + 5x The algebraic term that
Algebraic terms are x and 5x. consists of one variable
with the power 1 is called
x a linear algebraic term.
(b) – 7y
8 State the number of
x
Algebraic terms are and 7y. terms in each of the
8 expressions.
(c) pq – 2q + 13
Algebraic terms are pq, 2q and 13.

(d) m – 2m + n – 6 In an algebraic
2
expression, a number
2
Algebraic terms are m , 2m, n and 6. is also considered as
a term.
An algebraic term can be written as the product of the
variable and its factor. For example,
3x is a factor of the variable y.
3xy = 3x × y So, 3x is the coefficient of the variable y.

= 3y × x 3y is a factor of the variable x. Think Smart
So, 3y is the coefficient of the variable x.
= 3 × xy Is term xy an algebraic
expression? Give
your reasons.
Variable

What is the coefficient of the variable xy?

110
Chapter 5

05 TB Math F1.indd 110 11/10/16 12:13 PM