Terms

Q.

A sum of 3000 rupees is to be given in the form of 63 prizes. If the prize money is either rs100 or rs25. Find the number of prizes?

Q. Number of terms in the expression $a^2+bc\times d$ is

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

Q.

How many terms are in each of the following algebraic expressions?
$6x^3+8x^2-4x$
$15x{y}^3+21x^2-16$
$19x^2+8x^2+4xy-2$

1. 3, 2 and 4

2. 3, 2 and 2

3. 2, 2 and 4

4. 3, 3 and 4

Q. Which of the following is an expression in one variable?

1. $x^2+2x+3$
2. $5$
3. $2x+3y$
4. $x^2+2y$

Q.

The number of terms in the algebraic expression $4m^2+5n^2+2$ is

1. 3

2. 0

3. 1

4. 2

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

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

Q. What is the constant term in the following algebraic expression?
$x^{2}y-x{y}^2+7xy-3$

1. $x^{2}y$
2. $-x{y}^2$
3. -3
4. 3

Q.

Explain how to identify the terms and the like terms of

$3y-4-5y$

Q. Choose the pair of like terms from the following:

Q. 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. What is the constant term in the following algebraic expression?
$x^{2}y-x{y}^2+7xy-3$

1. 3
2. $x^{2}y$
3. $-x{y}^2$
4. -3

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

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

Q. What is the constant term in the following algebraic expression?
$a^3-3a^2+7a+5$

1. $-3a^2$
2. $a^3$
3. 5
4. $7a$

Q.

The coefficient of b in -12abc is _____.

1. -12a

2. -12c

3. -12

4. -12ac

Q. The algebraic term in the expression $3y^2+12$ is

1. $3y$
2. 12
3. $3y^2$
4. 3

Q. The algebraic term in the expression $3y^2+12$ is

1. $3y$
2. 12
3. $3y^2$
4. 3

Q. Which of the following is an expression in one variable?

1. $2x+3y$
2. $x^2+2x+3$
3. $x^2+2y$
4. $5$

Q. Identify the algebraic terms in the given expression.
$6x^2+12y^2-3x-7$

1. $6x^2$, $12y^2$, $3x$
2. $6x^2$, $12y^2$, $-3x$
3. $x^2$, $y^2$, $-x$, -7
4. $x^2$, $y^2$, $-x$

Q.

Group the like terms together in expression $3z-x-2z+4x$.

Q. Write the coefficient of:
(i) y in −3y
(ii) a in 2ab
(iii) z in −7xyz
(iv) p in −3pqr
(v) y² in 9xy²z
(vi) x³ in x³ + 1
(vii) x² in −x²

Q. How many variables are there in the given equation 2a + 3b + 4c = 3?

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

Q. Add the terms $3xy$ and $2y^2$:

1. $3xy+2y^2$
2. $5x{y}^3$
3. $4xy+y$
4. All of the above

Q.

Write the constant terms of the following algebraic expression.

$7x+3y+2$

Q. Number of terms in the expression $3x^{2}y-2y^{2}z-z^{2}x+5$ is

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

Q.

Number of terms in the expression $a^2+bc\times d$ is __.

Q. Identify all the terms in the expression
$5x^2-(-8y)-27$

1. $5x^2$, $8y$, 27
2. $5x^2$, $-8y$, -27
3. $5x^2$, $8y$, 27
4. $5x^2$, $8y$, -27

Q. You have a certain number of chocolates and you don't know the number of chocolates. If you receive the same number of chocolates from your friend and another friend gives you thrice the number of chocolates, which of the following can represent the total number of chocolates you have?

1. $x+4y$ (x and y both are the different variables)
2. $5x$
3. $x^4$
4. $x+3xy$ (x and y both are the different variables)

Q.

A car charge Rs. $100/hr$. If a customer is given a discount of Rs. $50$ on the total, write the algebraic expression for the amount the customer has to pay for travelling for $6$ hours.

Q.

Identify monomials, binomials, trinomials and quadrinomials in the followings:

$x^3$

Q.

The cost of 2 Red balls and 5 Blue balls on a day was found to be Rs. 160. The correct expression for this situation is

1. 2r + 5b = 160
2. None of these
3. 3r + 5b = 160
4. 160(r + b) = 2 + 5