Tag: measures and relations

Questions Related to measures and relations

What is a variable?

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. A symbol that takes a fixed numerical value.

  2. A symbol that takes various numerical value.

  3. A symbol some time fixed and some time variable.

  4. cannot be determined.

Show answer
Correct Option: B
Explanation:

A variable is a symbol or letter, such as $x$ or $y$, that represents a value. In algebraic equations, the value of one variable is often dependent on the value of another. Hence it's a symbol that takes various numerical values.


e.g. in the polynomial $x+5, \quad x$ is a variable. 

Find the constant in the polynomial $x + 5$

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. $x$

  2. $5$

  3. $2$

  4. All of the above

Show answer
Correct Option: B
Explanation:

The constant in the polynomial $x + 5$ is $5$.

Identify the number of constants in the expression $5x^3-8xy$.

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. $0$

  2. $1$

  3. $2$

  4. $5$

Show answer
Correct Option: A
Explanation:

Both the terms in the given expression contain atleast one variable, $x$ and $xy$..

Hence, there is no constant term in the given expression.

How many variables are there in the algebraic expression $ax^2+bxy+cy^2$  where $a, b, c$ are constants ?

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. $1$

  2. $2$

  3. $3$

  4. $5$

Show answer
Correct Option: B
Explanation:

The variables used are $x$ and $y$.

Which of the following is correct?

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. Constant can vary in a polynomial

  2. Constant may or may not vary in polynomial

  3. Constant cannot change in a polynomial

  4. All of the above

Show answer
Correct Option: C
Explanation:

For a particular polynomial, its constant cannot change otherwise polynomial will change.

Find the constant in the polynomial $y^{3} + y^{2} + y$

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. $y^{3}$

  2. $y^{2}$

  3. $y$

  4. None of the above

Show answer
Correct Option: D
Explanation:

The terms $y^{3}, y^{2}$ and $y$ are not constants. 

Therefore, there are no constants in the given polynomial. 

The variable in the polynomial $z^3+2z^2+5z+1$ is

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. $1$

  2. $2$

  3. $z$

  4. All of the above

Show answer
Correct Option: C
Explanation:

The value of the polynomial changes as the variable changes. 

Hence, $z$ is the variable in the polynomial.

The variable in the polynomial $x^2+3x+5$ is:

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. $x$

  2. $3$

  3. $5$

  4. All of the above

Show answer
Correct Option: A
Explanation:

The value of the polynomial changes as the variable changes. 

Hence, $x$ is the variable in the polynomial.

Who is the father of algebra?

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. Rene Descartes

  2. Brahmagupta

  3. Al-Khwarizmi

  4. Albert Einstein

Show answer
Correct Option: C
Explanation:

al-Khwarizmi is the father of Algebra.

An important development in algebra in the $16^{th}$ century was the

maths unchanging relations algebra aid introduction to unknowns measures and relations

  1. introduction of unknown symbols

  2. arithmetic mean

  3. introduction to exponents

  4. introduction to powers

Show answer
Correct Option: A
Explanation:

An important development in algebra in the $16^{th}$ century was the introduction to unknown symbols.