Multiplication of a Monomial by a Monomial

Q. Which of the following is not a monomial?

1. $ab$
2. $xyz$
3. $x^{2}yz$
4. $3+2ab$

Q. Question 5(iii)
Obtain the product of:
$2,4y,8y^2,16y^3$

Q.

The product of a monomial and a binomial is always a ________.

1. monomial

2. trinomial

3. binomial

4. constant

Q. Question 5(i)
Obtain the product of:
xy, yz, zx

Q.

Obtain the product of

(i) xy, yz, zx (ii) a, − a², a³ (iii) 2, 4y, 8y², 16y³

(iv) a, 2b, 3c, 6abc (v) m, − mn, mnp

Q.

The coefficient of xyz if 2x, -3y and 5z are multiplied is:

1. xyz

2. 30

3. -30

4. -xyz

Q. The two adjacent sides of the rectangle are $9x^{2}y$ units and 6xy units. Find the area of the rectangle.

1. $54x^3{y}^2$ square unit
2. $15xy$ square unit
3. $54x{y}^2$ square unit
4. $27x^3{y}^2$ square unit

Q. What will be the coefficient of xyz in the product of (2xy + 3zx) and (y + 2z)?

1. 3
2. 6
3. 7
4. 5

Q. Question 5(ii)
Obtain the product of:
$2,4y,8y^2,16y^3$

Q. The product of 2x and - 6xy is ____.

1. $-6x^{2}y$
2. $6x^{2}y$
3. $-12x^{2}y$
4. $12x^{2}y$

Q.

Multiply the binomials.

(i)(2x + 5) and(4x − 3) (ii) (y − 8) and (3y −4)

(iii)(2.5l −0.5m) and (2.5l + 0.5m)

(iv) (a + 3b)and (x + 5)

(v)(2pq + 3q²)and (3pq − 2q²)

(vi)$(\frac{3}{4}{a}^2+3b^2)$ and $4(a^2-\frac{2}{3}{b}^2)$

Q.

What is the result if a monomial is multiplied by a monomial?

1. Monomial

2. Binomial

3. Trinomial

4. Constant

Q.

Find the rule to find the area of a square whose side is given by $s$.

Q.

Why is the coefficient of b in (6b^2) 0?

Q.

The product of (l + m) and (l - m) can be written as ______ .

1. 2lm

2. l² - m²

3. l² + m²

4. 2l² - 2m²

Q. Find the product:
(3m − 4n) × (2m − 3n)

Q.

Multiply (x + 1) and 2x:

1. x² + 2x

2. x² + x

3. 2x² + 2x

4. 2x² + x

Q.

A monomial multiplied by a monomial never gives a ________.

1. Monomial

2. Binomial

3. Trinomial

4. Constant

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. The perimeter of a rectangular swimming pool is 154 m. Its length is 5 m more than twice its breadth. What is the area of the rectangular swimming pool?

1. $1200m^2$
2. $1225m^2$
3. $1272m^2$
4. $1260m^2$

Q. A monomial divided by a monomial gives an algebraic expression with ____ term(s).

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

Q.

The length of a rectangle is twice the width of it. If the perimeter of the rectangle is 42 m, find the area of the rectangle.

1. 

2. 

3. 

4. 

Q. Find the product of : (-4x-5) & (-7x)

Q. Use the formula to expand the following:

(5) (3x − y)³

Q. Coefficient of xy in expression $-x^{2}y-x+3xy+3$ is ________.

Q.

The area of a square tile is 324 square units. What is the length of each side of the tile?

1. 16 units

2. 17 units

3. 18 units

4. 22 units

Q. Product of 6xy and - 2ab is _____.

1. 12xya
2. 12abxy
3. -12abxy
4. -12xya

Q. What will be the coefficient of xyz in the product of (2xy + 3zx) and (y + 2z)?

1. 3
2. 6
3. 7
4. 5

Q.

$\frac{4}{6}$ $xyz$ $\times$ $\frac{3}{4}$ $x^2$$y^2$$z^2$ $\times$ $\frac{6}{x^2{y}^2{z}^2}$ = ?

1. $3xyz$

2. $3x^2$$y^2$$z^2$

3. $18xyz$

4. $12xyz$

Q. Find the product:
(x² − y²) × (x + 2y)