Types of Coefficients

Q.

If one regression coefficient is unity, then the other will be

1. Greater than unity

2. Greater than or equal to unity

3. Less than or equal to unity

4. None of the above

Q. The numerical coefficient of the term $y^2$ is .

Q.

Identify the terms, coefficients, and constants of the expression: $4x-2y$.

Q. What is the numerical coefficient in $ab$?

1. $1$
2. $0$
3. $a$
4. $b$

Q.

The number coefficient in $-xyz$ is:

1. 1

2. 0

3. 2

4. -1

Q.

Write down the coefficients of:

$xyz$ in $-xyz$

Q. What is the coefficient of $x$ in the algebraic expression $8z-5x+7y$?

1. $8$
2. $-5$
3. $7$
4. $8z-5$

Q. If $3x+4y$ is added to $7x-5y$, then find the coefficient of $y$ in the algebraic expression obtained by evaluating the sum.

1. $4$
2. $-5$
3. $1$
4. $-1$

Q.

Find the coefficient of $y^2$ in the following algebraic expressions :

$9y^3-12y^2+9y$

Q. What is the sum of the numerical coefficient in the expression −𝟓𝒂−𝟕𝒃+𝟏𝟐𝒂𝒃?

Q. Evaluate the value of the product $(3x-4y)\times (8x+5y)$ and find the numerical coefficient of $xy$.

1. Product$=24x^2-17xy-20y^2$
   Coefficient of $xy=24$
2. Product$=24x^2+17xy-20y^2$
   Coefficient of $xy=-17$
3. Product$=24x^2-24xy-20y^2$
   Coefficient of $xy=-24$
4. Product$=24x^2-20xy-20y^2$
   Coefficient of $xy=-20$

Q. If $5xy$ is multiplied by $4ab$, then find the coefficient of $xy$.

1. $5ab$
2. $5$
3. $20$
4. $20ab$

Q. In an algebraic term of more than one unknown, the coefficient with respect to each unknown variable is termed as generalized coefficient.

1. True
2. False

Q. Choose the correct choice for the algebraic equation $7x^4+2xy{z}^2+3.$

1. 3 is the numerical coefficient of $x^4$
2. Coefficient of $y$ is 2.
3. 3 is the constant term.

Q. Find the numerical coefficient of $xy$ after solving the given expression:
$(4x+3y)\times 2y$

1. 8

Q. Identify terms which contain x and $y^2$, and give the coefficients of x and $y^2$.
(i) $13y^2-8yx$
(ii) $2x^{2}y-15x{y}^2+7y^2$