Term

Q.

Give one example of Constant Polynomial.

Q.

Which of the following is a trinomial?

1. $x$

2. $ab$

3. $x^2+2xy+y^2$

4. $a+b$

Q.

Find the common factors of $56$ and $120$

Q.

A telephone company charges Rs0.05 per minute for local calls and Rs0.12 per minute for long distance calls. Which expression gives the total cost in rupees for "$x$" minutes of local calls and "$y$" minutes for long distance calls?

1. $0.17xy$

2. $0.05x+0.12y$

3. $0.05x-0.12y$

4. $0.17(x+y)$

Q.

An electrician charges $₹400$ per hour and spends $₹50$ a day, on kerosene Write an algebraic expression to represent his earnings for one day.

Q.

Mia is three years older than twice her sister Brookes age.

The sum of their ages is less than $30$.

What is the greatest age Brooke could be

1. $7$

2. $8$

3. $9$

4. $10$

Q.

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

1. 1

2. 2

3. 3

4. 0

Q.

Rahul went to pay the bill. He came to know that the price of a pant is Rs.300 and price of the shirt are Rs. 250. What is the amount paid by Rahul if the algebraic expression for the total price was (3x + 4y), where x is the price of a pant and y is the price of a shirt? [3 MARKS]

Q.

Write the like terms of the expression.

$a^3-3a^{2}b+3a{b}^2-b^3+2a^3-a{b}^2$

Q.

Classify the following as true or false.

$3a-4b$ is a binomial

1. True
2. False

Q.

Identify monomials, binomials and trinomials from the following algebraic expressions :

$5p\times ab$

Q.

Given that $x^{3}y$ and $7x^{3}y$ are like terms, then the sum of these two terms will be:

1. They cannot be added

2. $11x^{3}y$
   

3. $8x^{3}y$
   ​

4. $4x^{3}y$
   

Q.

State whether the following expression is monomial, binomial, or trinomial.

$4y^2$

Q. Simplify:
$7xy+5y^2+6yx+6y^2$

1. $13xy+11y^2$
2. $11xy+13y^2$
3. $12xy+11y^2$
4. $14xy+13y^2$

Q.

A carton has twenty chocolates worth rupees 100. The carton consists of Cadbury shots worth rupees 3 each and 5 star worth rupees 11 each. How many 5 star chocolates are there in the carton? [4 MARKS]

Q.

Which of the following is not a factor of $12x^{2}y$?

1. $2$

2. $y$

3. $x$

4. $x^3$

Q.

Identify monomials, binomials and trinomials from the following algebraic expressions.

$5a^2{b}^2{c}^2$

Q.

Question 82 (iv)

Subtract

$3t^4-4t^3+2t^2-6t+6from-4t^4+8t^3-4t^2-2t+11$

Q.

The number of terms in $3x^{2}y-wz$ are

1. $2$

2. $4$

3. $5$

4. $1$

Q.

Raju's age is 5 more than twice Ram's age. If Ram's age is represented by $x$, the expression which represents Raju's age is _____.

1. $2x$

2. None of these

3. $2x+5$

4. $5x+2$

Q. The algebraic expression $8x^2{y}^3$ is a .

1. monomial
2. binomial
3. trinomial

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. 2, 2 and 4

2. 3, 2 and 4

3. 3, 2 and 2

4. 3, 3 and 4

Q.

In the given expression,
$x^{3}y+4x^2{y}^2+3x{y}^3+7x^2{y}^2+3x^3+4y^2+6xy+7x^{3}y+8y^2$
Which of the following are the like terms?

1. $x^{3}y$ and $7x^{3}y$

2. Both A and B

3. $4x^2{y}^2$ and $7x^2{y}^2$

4. $6xy$ and $4y^2$

Q.

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

1. 1

2. 2

3. 3

4. More than 3

Q. Question 24

The common factor of $3ab$ and $2cd$ is
a) 1
b) -2
c) a
d) c

Q. If $x$ divided by 5 is eqaul to sum of 14 and $y$, then $x=$.

1. $60+5y$
2. $70+5y$
3. $14+y$

Q.

Identify monomials, binomials and trinomials from the following algebraic expressions.

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

Q. 3x +4y
Like in the example above ​​​​​​why always the constant is written first and the variable after the constant?
​​​​

Q.

A term must contain a variable. State true or false.

1. True

2. False

Q. Rakhi travelled $4x$km distance walk, $2y$km by cycle and $9$km by bus.The total distance covered by Rakhi in an algebraic expression is