Introduction to Algebraic Expressions

Q. Coefficient of 'y' in the term $\frac{-y}{3}$ is ____.

1. -1
2. -3
3. $\frac{-1}{3}$
4. $\frac{1}{3}$

Q.

Factories $z^2-4z-12$

Q.

Write a pair of integers whose sum gives zero

Q.

The numerical coefficient of the term $-24x^{2}y$ is

1. $-24x^2$
2. $24$
3. $-24$
4. $24x$

Q. Write three like terms of $7xy$.

Q.

Identify the monomial, binomial and trinomial in the following

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

Q. Question 1(ii)
Multiply the binomials:
(y-8) and ( 3y-4)

Q.

Add

$15xy,-6xy,-3xyand4xy$

Q.

Like terms in the expression $\mathrm{n}(\mathrm{n}+1)+6(\mathrm{n}–1)$ are ___________and ________.

Q. Pick the binomial with sum of the coefficients equal to 10.

1. 12p - 2q
2. 2m + 7n
3. 4x - y + 7
4. 3x + 4y + 3z

Q. The degree of the algebraic expression,
$7x^2-24x{y}^2+9x-2y^2$ is .

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

Q.

Classify into monomials, binomials or trinomials:

$x^2+y^2-3x^2$

Q. If $8^3=2p+2$, then the value of $p$ is ________.

1. 256
2. 510
3. 512
4. 255

Q.

Classify into monomials, binomials or trinomials.

$3q-2q$

Q. Which of the following is a monomial?

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

Q. Which of the following represents the prime factorization of 24?

1. $2\times 2\times 2\times 3$
2. $3\times 8$
3. $2\times 2\times 6$
4. $4\times 6$

Q. If each side of a square of side "a" units is doubled. Find the new area.

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

Q. The sum of 12𝑥, 7𝑧𝑦 𝑎𝑛𝑑 7𝑦𝑧 is _____.

1. 12𝑥 + 𝑦𝑧
2. 26𝑥𝑦𝑧
3. 12𝑥 + 14𝑦𝑧
4. 𝑥 + 𝑦 + 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. 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. -5tp
8. $2p{q}^2$
9. $24x^2$
10. $-a^{2}b$

Q. Choose if the following statement is True or False:
'He is very rich, yet he is humble and grounded.' is the combined form of these sentences: 'He is very rich. He is humble and grounded.'

1. True
2. Neither of these
3. Both A and B
4. False

Q. Convert the given complex sentence to a compound sentence:
If you do not hurry you will miss the train.

1. You must hurry, or you will miss the train.
2. You must hurry, and you will miss the train.
3. You must hurry, but you will miss the train.
4. None of the above.

Q. How many terms are there in 5x + 6y + 7a - 3x?

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

Q. Which of the following are algebraic expressions?

1. $\frac{x}{2}-3$
2. $4x+7=6$
3. $a=4$
4. $x^2-5x+6$

Q.

State whether the given expressions are polynomials or not.
(a) $3x^3-4xy+z^2-3x+3y$
(b) $3a^{2}b-4\sqrt{b^3}+b^2$
(c) $\frac{5}{2}{x}^2-4yz-\frac{5}{6}{x}^2$
(d) $3p^3-4q^{\frac{2}{3}}+pqr+3pq$

Q. If x = -3 and y = 5, what is 30 - (x + y)?

1. 28
2. 25
3. 22
4. 32

Q. Find the coefficient of 'a' in the expression y - 3x - 2ax + 7y.

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

Q. Which of the following terms has a coefficient of -5?

1. -5xy
2. $-6x{y}^2$
3. -5abc
4. 5xcy
5. $-5x^{3}y$
6. $-5x{y}^{2}z$
7. -5mnpq
8. -6x

Q. is a binomial expression.

1. $6b^2+5a+c$​
2. $3x^3$
3. $7xy+3c$

Q. If a and b denote the sum of the coefficients in the expansions of and respectively, then write the relation between a and b.