Page 136 - ICSE Math 6

1
3
2
2
3
2
2
2
2
(c) 3b , 6a , − 3 b , a (d) x y, 2y x, 3 x y, –4y x
7 5 11
3. Identify the like terms of the expression:
5
2
2
2
(a) 56xy + 12x y – 7xy (b) a – b + a 2
3 6
2
2
(c) 16x + 12y – 13x – 7y (d) mn + m + n + nm
4. Are –13 and 18 like terms? Why or why not?
3
2
3
5. For the algebraic expression 3a b + 4a + b – 7 , answer the following.
10
(a) What are the terms of the given algebraic expression?
(b) What is the number of terms?
2
3
3
(c) Write the coefficient of a , b and a respectively.
(d) What is the constant term?
6. Classify the following algebraic expressions as monomial, binomial or trinomial.
2
2
(a) 5 – 7a (b) xy (c) 1 – a + a 3 (d) x + a 2
3 7
2
2 2
2
(e) 3bc + 17a (f) 2 + a – (g) 7x y × a (h) 2x ÷ 9
5 8
7. Find the coefficient of a in each of the following terms.
3 9
(a) – a (b) 17ab 2 (c) ax 2 (d) a
5 11
8. Which of the following algebraic expressions are polynomials?
1 7 1
3
2
2
(a) 10 (b) –7a + a – a 5 (c) a + – a 6 (d) + x + 10
3 a x
1 7 11 1 1 5
2
2
2
(e) x + x – x 3 (f) b + (g) x + + 2x (h) 3x + x – x 3
5 9 13 15 – b x 2 3
9. Write the degree of each of the following polynomials.
1
2
3
4
7
2
(a) a + 13 (b) a – a + 9 (c) x + x – x
7
12 3
4
7
2
(d) 22 + 20x 21 (e) p – p + p (f) y + y + 5y 2
13 5
AT A GLANCE
¾ A quantity whose numerical value is fixed is known as a constant and a quantity whose numerical
value changes is known as a variable.
¾ Terms having the same literal factors are known as like terms otherwise they are unlike terms.
¾ Any factor in a term is known as the coefficient of the product of the remaining factors.
¾ A collection of one or more terms combined together by addition or subtraction is known as an
algebraic expression.
¾ An algebraic expression which consists of only one term with non-negative powers of literals(s)
is known as a monomial.

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