This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Algebraic Expressions – Monomials, Binomials and Polynomials”.

1. Identify the given expression: 3x + 5x.

a) Binomial

b) Monomial

c) Trinomial

d) Four-term polynomial

View Answer

Explanation: An algebraic expression is an expression which consists variables, constants along with algebraic operations like addition, subtraction, multiplication. An algebraic expression containing a single term is a monomial. Example: 9y, 5xy, etc. Now, from the given expression, 3x + 5x = 8x, which is a single term.

2. Identify the given expression: 4xy.

a) Monomial

b) Binomial

c) Trinomial

d) Four-term polynomial

View Answer

Explanation: Algebraic expression is an expression which consists variables, constants along with algebraic operations like addition, subtraction, multiplication. An algebraic expression containing a single term is a monomial. Example: 9y, 4xy, etc.

3. Identify the expression: 9xy + 4x.

a) Monomial

b) Trinomial

c) Four-term polynomial

d) Binomial

View Answer

Explanation: Algebraic expression is an expression which consists variables, constants along with algebraic operations like addition, subtraction, multiplication. An algebraic expression containing two terms is a binomial. Example: 9y + 7xy, 10x – 5y, etc.

4. Identify the expression: 9x – 6y + 2xy.

a) Monomial

b) Binomial

c) Trinomial

d) Four-term polynomial

View Answer

Explanation: Algebraic expression is an expression which consists variables, constants along with algebraic operations like addition, subtraction, multiplication. An algebraic expression containing three terms is a trinomial. Example: 9y + 7xy – 2x, 8x + 7y + 20z, etc.

5. Identify the term of the expression: 3x^{2} + 4xy.

a) 3x^{2}, 4xy

b) 3x^{2}

c) 4xy

d) 3, 4

View Answer

Explanation: A term is the part of the algebraic expression. The given expression has two terms.

6. Identify the all coefficients of the expression: x^{2} – 12xy + 2.

a) 1, -12, 2

b) -1, 12, -2

c) 1

d) -12

View Answer

Explanation: In a term of an algebraic expression, constant value before any variable term is called coefficient. The given expression can be written as 1x

^{2}– 12xy + 2. So, 1 and -12 are coefficients of x

^{2}and xy respectively.

7. Identify all the terms and coefficients of the expression: y^{3} – 10x^{2}y + 14x.

a) Terms: y^{3}, -10x^{2}y, 14x

Coefficients: 1, -10, 14

b) Terms: y^{3}, -10x^{2}y, 14x

Coefficients: 1, 10, 14

c) Coefficients: y^{3}, -10x^{2}y, 14x

Terms: 1, -10, 14

d) Coefficients: y^{3}, -10x^{2}y, 14x

Terms: 1, 10, 14

View Answer

Explanation: A term is the part of the algebraic expression. In a term of an algebraic expression, constant value before any variable term is called coefficient.

8. Which of the following expressions have -1, 2 as the coefficients?

a) 12 – x

b) -x + 2y

c) x – 2y

d) xy

View Answer

Explanation: A term is the part of the algebraic expression. In a term of an algebraic expression, constant value before any variable term is called coefficient. Among the given expressions, -x + 2y has -1 and 2 as coefficients.

9. Which of the following expressions have -x, x^{2} as the terms?

a) x

b) x^{3} – x

c) x^{2}

d) x^{2} – x

View Answer

Explanation: Algebraic expression is a combination of terms along with algebraic operations like addition, subtraction, multiplication. Example: 9y + 7xy – 2x is an expression with three terms, 8x + 7y is an expression with two term, etc.

10. Identify the coefficients of the following expression: x^{2-a} + 2y.

a) 1, 2

b) x^{2-a}

c) -2

d) -1, -2

View Answer

Explanation: Algebraic expression is a combination of terms along with algebraic operations like addition, subtraction, multiplication. In a term of an algebraic expression, constant value before any variable term is called coefficient. The given expression can be written as 1x

^{2-a}+ 2y with 1 and 2 as coefficients of x

^{2-a}and y respectively.

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