Worksheet on Types of Algebraic Expressions
Practice the questions given in the worksheet on types of algebraic expressions. The questions are based on identifying whether the algebraic expressions are monomial, binomial, trinomial or polynomial.
1. State whether the following statements are true or false:
(i) Expression 5a2 + a is a trinomial(ii) Expression ax2 + bx + c is a trinomial
(iii) 5 × mn is a binomial
(iv) 11 + xy is a binomial
(v) a3 – 3ab + 7a + 9 is a polynomial
(vi) 2x3 + 7xy + 3x + 2 is a multinomial
(vii) 1 + 2x + 3x2 + x4 + x5 is a binomial
(viii) p2 + q2 + r2 is a trinomial
2. Which of the
following expressions are polynomials?
(i) 10 – 13x
(ii) z + z2 + z5 - 7(iii) 1 + 1/a + 1/a2 + 1/a3 +1/a4
(iv) (m2 + m – 2)/(m – 3)
(v) 1/2 – 5/(4 + u)
(vi) 1 + 5m
(vii) 1 + 5u + 4u2
(viii) 1/√x + 5
3. For each expression, given below, state whether it is a monomial, binomial or trinomial:
(i) mn
(ii) mn + m
(iii) 2a ÷ b
(iv) 7abc
(v) 7 + u + v
(vi) 2p2 – p(vii) –k
(viii) ax2 + bx – 7
(ix) -3mn + t
(x) 1 + a + z
(xi) 1 + a ÷ z
(xii) a + ab – b24. Identify the following expressions are monomials, binomials, trinomials, polynomials:
(i) 11pqr
(ii) m + 2n
(iii) a + b + c
(iv) 1 – m + m2 + m5 – m7 + m9(v) 2ab + c
(vi) 1 + 3a + 4a3
Answers for the worksheet on types of algebraic expressions are given below to check the exact answers of the above expressions.
Answers:
1. (i) false
(ii) true
(iii) false
(iv) true
(v) true
(vi) true
(vii) false
(viii) true
2. (i) polynomial
(ii) polynomial
(iii) not polynomial
(iv) not polynomial
(v) not polynomial
(vi) polynomial
(vii) polynomial
(viii) not polynomial
3. (i) monomial
(ii) binomial
(iii) monomial
(iv) monomial
(v) trinomial
(vi) binomial
(vii) monomial
(viii) trinomial
(ix) binomial
(x) trinomial
(xi) binomial
(xii) trinomial
4. (i) monomial
(ii) binomial
(iii) trinomial
(iv) polynomial
(v) binomial
(vi) trinomial
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