Like and Unlike Terms

Q.

What is horizontal method?

Q. 343/512 (evaluate in exponential form)

Q.

What are terms of algebraic expressions?

Q.

Question 7 (a)

Identify like terms in the following:

$-x{y}^2,-4y{x}^2,8x^2,2x{y}^2,7y,-11x^2,-100x,-11yx,20x^{2}y,-6x^2,y,2xy,3x$

Q. Group the like terms together.
$(9x^2,xy,-3x^2,x^3,x^{2}y,6y^{2}x,6x^2,7x,8x^2{y}^2,-24yx)$.

1. $(6x^2,-3x^2)$ and $(xy,-24yx)$
2. $(9x^2,6x^2)$ and $(x^{2}y,8x^2{y}^2)$
3. $(9x^2,6x^2)$ and $(x^{2}y,6y^{2}x)$
4. $(9x^2,-3x^2.6x^2)$ and $(xy,-24yx)$

Q. Which of the following pairs of terms is a pair of unlike terms?

1. 3xy, 2yz
2. $-x{y}^2,-2x{y}^2$
3. $8x^2$, 7y
4. $-6x^{2}y,20x^{2}y$

Q.

Which of the following is the quotient Law of indices?

1. a^m/aⁿ = a^n+m if m> n

2. a^m/aⁿ = a^n-m if m> n

3. a^m/aⁿ = a^m-n if m> n

4. a^m/aⁿ = a^m+n if m> n

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. $x^4$

2. $x+4y$ (x and y both are the different variables)

3. $5x$

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

Q.

Identify the pair(s) of like terms among the given options.

1. All terms are unlike

2. $3yx,8x^{2}y$

3. $8xy,4yx$

4. $4xy,8x^2$

Q. Group all the unlike terms from among the given terms.
$-7x{y}^2,8x^2,9x^3,-100x,-11yx,20y^{2}x,96x,-7x^2,67xy,7x^4,3x^2,-11x^{2}y$.

1. $-7x{y}^2,20y^{2}x,-11x^{2}y$
2. $8x^2,-11yx,9x^3$
3. $-11x^{2}y,67xy,7x^4$
4. $9x^3,-11x^{2}y,7x^4$

Q.

Identify the constant term from the given expressions :

$12+19{\mathrm{a}}^3{\mathrm{b}}^2$

Q. Identify the binomial(s) among the given expressions.

1. 7x + 8xy
2. 1 + 2x + 3y
3. 3x + 7xy + yx
4. 3x + 2y

Q.

Fill in the blanks with suitable answers:

(1) The repeated form of multiplication of the same number is …….. .

(2) Exponential numbers include …….. and exponents.

(3) The number of times the base is multiplied is indicated by …….. .

(4)

(5)

Q.

What is the base and exponent in 7³?

Q.

12x and 15x are unlike terms.

1. False

2. True

Q. Group the like terms together,
7p, 8pq, -2p, 9q.

1. 7p, -2p
2. 7p, 8pq, 9q
3. 7p. 9q
4. -2p, 8pq

Q.

Which of the following is the product law of indices?

1. a^m×aⁿ=a^m+n

2. a^m×aⁿ=a^m/n

3. a^m×aⁿ=a^m×ⁿ

4. a^m×aⁿ=a^m-n

Q.

define exponent

Q. Simplify:

$x^2{y}^2{x}^5{y}^3$

1. $x^7{y}^5$
2. $x^7{y}^7$
3. $x^5{y}^5$
4. $x^5{y}^7$

Q.

Add the following: $3x+11+8zand-6x+4z$

Q.

Group the like terms together:

20y, 20a, 15q, -25, 25a, 12, y

1. 20y, y

2. 20a, 25a

3. 20, 15q, 12

4. 20y, 20

Q. Group the like terms from the given terms.
$3x,9x,3y,4xz,9z$

1. $3x,9x$
2. $9x,3y$
3. $4xz,9z$
4. $3y,4xz$

Q.

An expression having 5 terms is called:

1. Monomial

2. Polynomial

3. Trinomial

4. Solution

Q. How to add or subtract unlike terms

Q.

Consider the terms $x^{3}y$, $4x^2{y}^2$, $3x{y}^3$, $7x^2{y}^2$, $3x^3$, $4y^2$, $6xy$, $7x^{3}y$ and $8y^2$.
Which of the following are like terms?

1. $4x^2{y}^2$ and $7x^2{y}^2$

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

3. $6xy$ and $4y^2$

4. Both A and B

Q.

The coefficient of term $x{y}^2$ in expression $6x{y}^2+x^3-x^5+3x{y}^2+7x^y+4x+7$ is

1. 4
2. 0
3. 6
4. 3

Q. Please solve this answer with steps:
1) (-4)^-2 ÷ (4)⁰ =

Express the following with negative integers as exponent
(a) a³ × b² / a⁴

Q.

The constant term in the expression $2x^3+3x^2-2x-5$

1. $3$

2. $2$

3. $-2$

4. $-5$

Q.

$(x^2-4y^2)÷(x+2y)=?$

1. x + 2y

2. x - 2y

3. x - 4y

4. x + 4y

Q. Find the value of x so that-1.(9/4) exponent 3*(8/9)exponent 3=2 exponent 6x