Like Terms and Unlike Terms

Q. The common factor between x, xy and xyz is ___.

1. xy
2. yz
3. xz
4. x

Q.

Choose the correct option which indicates all the like terms in the following expression.
$3x+5x+7y+9x-4y$

1. $(-4y,7y)$

2. $(7y,-4y),(3x,5x)$

3. $(3x,5x,7y)$

4. $(7y,-4y),(3x,5x,9x)$

Q. Choose whether the given statement is True or False:
The sentence, We must work hard because no one succeeds without hard work, is the combined form of the simple sentences:

1. True
2. False
3. Both A and B
   
4. None of the above
   

Q. Which of the following expression is not formed by like terms?

1. abc + 2ab
2. -5d - 7d
3. -3yz + 5zy
4. 3ac - 2ca

Q.

Choose the correct option which indicates all the like terms in the following expression.
$3x+5x+7y+9x-4y$

1. $(-4y,7y)$

2. $(7y,-4y),(3x,5x)$

3. $(7y,-4y),(3x,5x,9x)$

4. $(3x,5x,7y)$

Q. Join the given sentences to make an Illative compound sentence:
He is busy today. He cannot attend to any more clients. [Intermediate]

1. He is busy today, so he cannot attend to any more clients.
2. He is busy today and he cannot attend to any more clients.
3. He is busy today because he cannot attend to any more clients.
4. He is busy today or he cannot attend to any more clients.

Q.

Simplify:

3x²yz⁴ × 2xy³z²

1. 6x³y³z⁶

2. x³y⁴z⁶

3. 6x³y⁴z⁶

4. 6x³y⁴z⁴

Q. How many terms are there in the expression $xy+6x+3xy-2yx-5$?

1. 6
2. 5
3. 3
4. 4

Q. Identify the pair consisting of unlike terms from the following options.

1. $6xyz$ and $-7yzx$
2. $13xy$ and $7yx$
3. $3y$ and $9z$
4. $6x^2$ and $\frac{x^2}{2}$

Q.

2x +y + 6z = 46

solve using gauss jordans method

Q. Convert the given complex sentence to a compound sentence:
His bark is worse than his bite.

1. His bite is bad, but his bark is worse.
2. His bite is bad and his bark is worse.
3. His bite is bad or his bark is worse.
4. None of the above.

Q. Convert the given complex sentence to a compound sentence:
He could not catch the train because he was late.

1. As he was late, he could not catch the train.
2. He was late and could not catch the train.
3. He was late or could not catch the train.
4. None of the above.

Q. Group the like terms together:
(4x, 6y, -3x, 9z).

1. (6y, 9z)
2. (6y, -3x)
3. (4x, 6y)
4. (4x, -3x)

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

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

Q.

Group the like terms from the following algebraic terms:

$20y,20a^2,15q,-25s,25a,12z,y$

1. $20y,y$

2. $-25,25a$

3. $15q,12z$

4. $20y,20a^2$

Q. Which of the following expression is not formed by like terms?

1. -3x+5x
2. ac -2ca
3. 3xy+2yz
4. -7w-4w

Q.

Choose the option that contains like terms from the following terms.

$12x,12a,25p,25q,xand12y.$

1. $12x,x$

2. $12a,12x$

3. $12a,25q$

4. $25p,25q$

Q.

Choose the correct option which indicates all the like terms in the following expression.
$3x+5x+7y+9x-4y$

1. $(-4y,7y)$

2. $(7y,-4y),(3x,5x)$

3. $(7y,-4y),(3x,5x,9x)$

4. $(3x,5x,7y)$