Types of Algebraic Expressions

Q. The product of a Binomial and a Trinomial is______.

1. Monomial
2. Binomial
3. Trinomial
4. Polynomial

Q. Identify in the given expression, terms which are not constant. Give their numerical coefficient.

$\left(i\right)5x-3$
$\left(ii\right)11-2y^2$
$\left(iii\right)2x-1$
$\left(iv\right)4x^{2}y+3x{y}^2-5$

Q. An algebraic expression which contains 3 unlike terms is known as _____.

1. Monomial
2. Binomial
3. Polynomial
4. Trinomial

Q.

Question 5

Define monomials, binomials, and trinomials. Classify the following into monomials, binomials and trinomials:

$\left(i\right)4y-7x$
$\left(ii\right)y^2$
$\left(iii\right)x+y-xy$
$\left(iv\right)100$
$\left(v\right)ab-a-b$
$\left(vi\right)(5-3t)$
$\left(vii\right)4p^{2}q-4p{q}^2$
$\left(viii\right)7mn$
$\left(ix\right)z^2-3z+8$
$\left(x\right)a^2+b^2$
$\left(xi\right)z^2+z$
$\left(xii\right)1+x+x^2$

Q.

Categorize the following expressions based on the number of terms.

$a)u^{2}v+2uuv-7u{v}^{2}b)6x^{3}y{z}^{2}c)3s^2+st+3t^3$

1. a – polynomial, b – monomial, c – binomial

2. a – trinomial, b – monomial, c – trinomial

3. a – binomial, b – monomial, c – trinomial

4. a – binomial, b – trinomial, c – monomial

Q.

Write the given statement in the form of algebraic expression and write whether it is monomial, binomial or trinomial: Cube of $s$ subtracted from cube of $t$.

Q.

Which of the following is a monomial?

1. $4x$

2. $a+b+c+d$

3. $a+b+c$

4. $a+b$

Q. Classify the following into monomials, binomials and trinomials:

$\left(i\right)4y-7x$
$\left(ii\right)y^2$
$\left(iii\right)ab-a-b$
[3 marks]

Q. Classify the following algebraic expressions as monomials, binomials, and trinomials:
$3x^2÷5,6x+5z+3,3x^2-2x+5y^2+4x,5xyz,2z+4y^2-7z÷2,4y^2+4x^2+9z^2-3y^2$
[2 marks]

Q.

Identify monomials, binomials, trinomials and polynomials from the following.

$-a^2{b}^2{c}^2$

Q. Which of the following monomial terms have degree 3?

1. $4x^{2}y$
2. $-3x^2{y}^2$
3. $7ab{c}^2$
4. -24mnq
5. $23c^3$
6. $9c^{2}pq$
7. $2p{q}^2$
8. -5tp
9. $24x^2$
10. $-a^{2}b$

Q. Which of the following is a trinomial?

1. $x$
2. $a+b$
3. $ab$
4. $x^2+2xy+y^2$

Q.

How many unlike terms does a trinomial have?

1. 2

2. 1

3. 4

4. 3

Q. Choose the expression with exactly one variable.

1. 2a + b - 7
2. a + 2
3. 1
4. a + b + c

Q.

Identify the trinomial among the given expressions.

1. $7x+8xy$

2. $1+2x+3y$

3. $3x+7xy+yx$

4. $3x+2y$

Q.

How many unlike terms does a trinomial have?

1. 4

2. 2

3. 1

4. 3

Q. Identify the binomial(s) among the given expressions.

1. 7x+8xy
2. 1+2x+3y
3. 3x+7xy+yx
4. 3x+2y

Q. Which one of the following are unlike terms?

1. $3a,2a,4a$
2. $3ab,2b,2c$
3. $x,2x,-x$
4. $x,-x,-3x$

Q.

Identify monomial, binomial, and trinomial from the following algebraic expression.

$\frac{2}{5}{x}^3-\frac{3}{5}x-1$

Write constant terms.

Q.

Identify monomials, binomials, trinomials and polynomials from the following.

$6a^{2}b{c}^2$

Q.

Identify the binomial(s) among the given expressions.

1. $7x+8xy$

2. $1+2x+3y$

3. $3x+7xy+yx$

4. $3x+2y$

Q.

If (x${}^2$y+ y${}^2$+3) is subtracted from (3x${}^2$y+2y${}^2$+5) then coefficient of x${}^2$y in the result is ________.

Q.

Identify the given expressions as monomials , binomials and trinomials

$-11a^3-b^2$

Q.

$35xy+45x+5y^2+25xyz$ is a :

1. Monomial

2. Binomial

3. Trinomial

4. Polynomial

Q.

$4ab+2ab+7bc+ba-8cb-10ba+-9bca+24a^2$
is a ____.

1. binomial

2. trinomial

3. polynomial

4. monomial

Q.

Which of the following expressions are binomials?

1. $7x+8xy$

2. $1+2x+3y$

3. $3x+7xy+yx$

4. $3x+2y$

Q.

If $x^{2}y+y^2+3$ is subtracted from $3x^{2}y+2y^2+5$
then coefficient of $x^{2}y$ in the result is ________.

1. 2
2. -2
3. -1
4. 1

Q.

A monomial consists of $2$ terms.

1. True
2. False