Like Terms

Q.

What is the coefficient of z in $(z-5{)}^3$?

1. -25

2. 125

3. 5

4. 75

Q. Four-digit smallest perfect square is.____

1. 1025
2. 1024
3. 1021
4. 1000

Q.

What is the numerical coefficient of the term $-17xyz$?

1. $17$
2. $17xyz$
3. $-17$
4. $xyz$

Q.

Divide the polynomial $6x^3+11x^2-39x-65$ by the polynomial $g\left(x\right)=x^2-1+x$ Also find the quotient and remainder.

Q.

Construct:

(i) 2 binomials with 3 variables.

(ii) 3 polynomials with 3 terms and 2 variables.

(iii) 2 trinomials with x as the only variable.

(iv) 3 binomials with x and y as variable. [4 MARKS]

Q.

Which of the following is/are true about like terms?

1. Terms having same number of variables

2. Terms having same coefficients.

3. Terms having same coefficients and variables

4. Terms having same variables raise to the same power

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. How many like terms are there among $9x³,16x²y,-8x³,12xy²,\; and6x³$?

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

Q.

Which of the following is the like term of $6$$m^2$$n^3$ ?

1. $4m^2$$n^2$

2. $5m^2$$n^3$

3. $4m^3$$n^2$

4. $-6p{m}^2$$n^3$

Q.

How do I use the quadratic formula to find the zeros of $f$ ?

Q.

Simplify the expression 6m +10 - 10m.

1. 6m

2. -4m + 10

3. 6m - 10

4. 4m + 10

Q.

In each polynomial, given below, separate the like terms :

$\left(i\right)3xy,-4y{x}^2,2x{y}^2,2.5x^{2}y,-8yx,-3.2y^{2}xand{x}^{2}y\left(ii\right)y^2{z}^3,x{y}^2{z}^3,-5x^{2}yz,-4y^2{z}^3,-8x{z}^3{y}^2,3x^{2}yzand2z^3{y}^2$

Q.

The coefficient of like terms is always same.

1. True

2. False

Q.

Multiply the polynomials:

$\left(i\right)(2.5a-0.5b)and(4b^2-8ab)$

$\left(ii\right)\left(\frac{1}{9}\right)a^2+bc-15and\left(\frac{4}{7}\right)b^2+ab+10$ [2 MARKS]

Q.

An algebraic fraction is said to be in its lowest form if it has ___ common factor.

Q. Which of the following is a like term of $10x^2$?

1. $5x^3$
2. $10x^{2}y$
3. $10.5x^2$
4. $3y^2{x}^2$

Q. Which of the following pairs is/are like terms?
(a) $x$ (b) $x^2$ (c) $3x^3$ (d) $4x^3$

1. c, d
2. a, c
3. a, b
4. b, c

Q. Which of the following is a like term of $10x^2$?

1. $3y^2{x}^2$
2. $10.5x^2$
3. $10x^{2}y$
4. $5x^3$

Q.

Find the least number which must be added to 18, 265 to obtain a perfect square.

1. 231

2. 237

3. 233

4. 232

Q. If all terms in expression A are like the terms in expression B, then which of the following can be an integer value of y?

$\text{Expression A}$	$\text{Expression B}$
$x^{(y+1{)}^2}+4x^3+21x$	$x^4+x^3+x+1$

1. –1
2. 3
3. –4
4. 2

Q. Classify the following into like terms:

Q.

Write the algebraic expression for:

(i) The area of a reactangle if its length (l) is increased by 5 and breadth (b) is reduced by 3.

(ii) Volume of a cubiod if its length (l) is reduced by 7, height (h) becomes 3 times and width (w) is increased by 2. [2 MARKS]

Q. If $\left\{\right(2{)}^{-2}\times (2{)}^{-2}{\}}^2=2^{-m}$.Find $m$

Q. Question 6

Like term as $4m^3{n}^2$ is
a) $4m^2{n}^2$
b) $-6m^3{n}^2$
c) $6p{m}^3{n}^2$
d) $4m^3{n}^2$

Q. Identify and write the like terms in each of the following groups.

1. $a^2,b^2,-2a^2,c^2,4a$
2. $3a,4xy,-yz,2zy$
3. $-2x{y}^2,x^{2}y,5y^{2}x,x^{2}z$
4. $7p,8pq,-5pq,-2p,3p$

Q. Classify the following polynomials based on number of terms.
$\left(i\right)x^3-x^2\left(ii\right)5x$
$\left(iii\right)4x^4+2x^3+1\left(iv\right)4x^3$
$\left(v\right)x+2\left(vi\right)3x^2$
$\left(vii\right)y^4+1\left(viii\right)y^{20}+y^{18}+y^2$
$\left(ix\right)6\left(x\right)2u^3+u^2+3$
$\left(xi\right)u^{23}-u^4\left(xii\right)y$

Q. Identify the like terms from the following expressions:
$9a^2+3b^2-4a^2+2b^2-6$

Q. Which of the following pairs is/are like terms?
( a ) $x$ (b) $x^2$ (c) $3x^3$ (d) $4x^3$

1. b, c
2. a , b
3. c, d
4. a, c

Q.

In algebra, terms are added to form ___________.

1. Constants

2. Expressions

3. Terminologies

4. Symbols

Q.

The sum of all the numerical coefficients including constant, for a given algebraic expression 17x²y - 12xy³ + 31x³ - 37 is

1. 73

2. -73

3. 1

4. -1