Introduction to Algebraic Expressions

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

1. 12𝑥 + 𝑦𝑧
2. 26𝑥𝑦𝑧
3. 12𝑥 + 14𝑦𝑧
4. 𝑥 + 𝑦 + 𝑧

Q. Find the degree of the following expression:
$x^5{y}^7-8x^3{y}^8+10x^4{y}^5{z}^4$.

1. 12
2. 11
3. 13
4. 10

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

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

Q. The coefficient of the term 'a' in the term $-9a^2$ is -9a.

1. True
2. False

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

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

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

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

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. If y = -2, then the value of (2y + 1) is ______.

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

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. Which of the following are algebraic expressions?

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