NMMS - National Means-cum-Merit Scholarship Mathematics: Algebraic Expressions Questions and Answers

Question 1

What is the result of subtracting the expression (2x² - 5xy + 3y²) from (7x² + 2xy - y²)?

Accepted Answer

5x² + 7xy - 4y²

Answer

9x² - 3xy + 2y²

Answer

-5x² - 7xy + 4y²

Answer

5x² - 3xy + 2y²

Question 2

The area of a rectangle is given by the expression (8x² + 10x - 3). If its length is (4x - 1), what is its width?

Accepted Answer

2x + 3

Answer

2x - 3

Answer

4x + 3

Answer

2x + 7

Question 3

If p = -3, what is the value of the algebraic expression 2p³ - 4p² + 5p?

Accepted Answer

-105

Answer

3

Answer

-33

Answer

105

Question 4

Which of the following is the correct product of the binomials (3a - 5b) and (3a + 5b)?

Accepted Answer

9a² - 25b²

Answer

9a² + 25b²

Answer

6a

Answer

9a² - 30ab - 25b²

Question 5

What is the sum of the algebraic expressions (4m² - 2mn + 7) and (-3mn + 2n² - 5)?

Accepted Answer

4m² - 5mn + 2n² + 2

Answer

m² + n² + 2

Answer

4m² + 5mn + 2n² - 2

Answer

4m² - 5mn + 2n² - 12

Question 6

An algebraic expression that contains exactly two, unlike terms is called a:

Accepted Answer

Binomial

Answer

Monomial

Answer

Trinomial

Answer

Polynomial