Coefficient of a Term

Q.

Question 4 (b)

Identify terms which contain $y^2$ and give the coefficient of $y^2$.

(i) $8–x{y}^2$
(ii) $5y^2+7x$
(iii) $2x^{2}y–15x{y}^2+7y^2$

Q.

Question 3

Identify the numerical coefficients of terms (other than constants) in the following expressions:

(i) $5-3t^2$

(ii) 1 + t + t² + t³

(iii) x + 2xy + 3y

(iv) 100m + 1000n

(v) $-p^2{q}^2+7pq$

(vi) 1.2a + 0.8b

(vii) $3.14r^2$

(viii) 2(l + b)

(ix) $0.1y+0.01y^2$

Q.

Write the coefficient of $x^2$ in the following:

$x^2-x+4$

Q.

Question 54 (iv)

Write the coefficient of $x^2$ in the following:

$y+y^{2}x+y^3{x}^2+y^4{x}^3$

Q.

Question 4 (a)

Identify terms which contain x and give the coefficient of x.

(i) $y^{2}x+y$

(ii) $13y^2-8yx$

(iii) x + y + 2

(iv) 5 + z + zx

(v) 1 + x + xy

(vi) $12x{y}^2+25$

(vii)$7x+x{y}^2$

Q.

Identify the terms, coefficients, and constants for the expression: $3x+2$.

Q.

Question 55 (i)

Find the numerical coefficient of each of the terms.

$x^3{y}^{2}z,x{y}^2{z}^3,-3x{y}^2{z}^3,5x^3{y}^{2}z,-7x^2{y}^2{z}^2$

Q.

Question 43

State whether the statement given is True or False.

4p is the numerical coefficient of $q^2$ in $-4p{q}^2$.

Q. What is the sum of the coefficients of the polynomial $5x^2+4x+10?$

1. 9
2. 15
3. 19
4. 20

Q.

Coefficient of term $x{y}^2$ in expression $x^3-x^5+x{y}^2$

1. x

2. xy

3. 1

4. -1

Q.

Question 55 (ii)

Find the numerical coefficient of each of the terms:

$10xyz,-7x{y}^{2}z,-9xyz,2x{y}^{2}z,2x^2{y}^2{z}^2$

Q.

Find the numerical coefficient of each of the terms: $x^3{y}^{2}z$.

Q.

Question 54 (iii)

Write the coefficient of $x^2$ in the following:

$1+2x+3x^2+4x^3$

Q.

Question 54 (ii)

Write the coefficient of $x^2$ in the following:

$x^3-2x^2+3x+1$

Q.

(i) Identify the terms and their factors in the following expressions

Show the terms and factors by tree diagrams.

(a) x − 3 (b) 1 + x + x² (c) y − y³

(d) (e) − ab + 2b² − 3a²

(ii) Identify terms and factors in the expressions given below:

(a) − 4x + 5 (b) − 4x + 5y (c) 5y + 3y²

(d) (e) pq + q

(f) 1.2 ab − 2.4 b + 3.6 a (g)

(h) 0.1p² + 0.2 q²

Q.

Write down the coefficient of $x$ in $11xyz$.

Q.

Which of the following is not a factor of any term of the algebraic expression 17x²y - 12xy + 13y³ - 7xyz?

1. x²

2. 2

3. y²

4. 13x²y

Q. Which of the following is the coefficient of 'y' in 7y + 3x + 5

1. 3y
2. 7y
3. 3
4. y

Q.

Question 3

Identify the numerical coefficients of terms (other than constants) in the following expressions:

(i) $5-3t^2$

(ii) 1 + t + t² + t³

(iii) x + 2xy + 3y

(iv) 100m + 1000n

(v) $-p^2{q}^2+7pq$

(vi) 1.2a + 0.8b

(vii) $3.14r^2$

(viii) 2(l + b)

(ix) $0.1y+0.01y^2$

Q.

In $7-p+q$, the term with factor $p$ is $-p$ and its coefficient is ________.

Q.

Select all coefficients in the following expression:
$177+3-5y+19+10z$

Q.

Coefficient of term $x{y}^2$ in expression $x^3-x^5+x{y}^2$

1. x

2. xy

3. 1

4. -1

Q. Find the coefficient of x in the expression 2y + 3x + z = 0.

1. 3
2. 2y
3. z
4. 2y + z

Q.

What is the sum of the coefficients of all the terms in the given expression: $\frac{6x}{y}-(x+1)\left(y\right)$?

___

Q. The area of square is $a^2$, and the numerical co-efficient is

1. 0
2. -1
3. 1
4. $a^2$

Q.

Find the numerical co-efficient of the following terms.
Also, find the coefficient of x and y in each of the term:
3x, - 5xy and 7xyz.

Q. Identify the numerical coefficients of terms (other than constants) in the following expressions:

(a) x + 2xy + 3y

(b) 2(l + b)
[2 marks]

Q. Identify the numerical coefficients of the terms in the following expression: ​
$-a^3{b}^{2}c$ + 7abc

1. -$a^2$, 7
2. 1, 7
3. -a, 7
4. -1, 7

Q.

Coefficient is-

1. Numerical factor of a term

2. One of the factors of a term

3. Common factor of all the terms of an expression

4. Variable factor of a term

Q.

In $px+y$, the term with factor $x$ is ___________ and its coefficient of $x$ is ___________.