Substitution

Q.

Write 908 in expanded form.

1. $({10}^2\times 9)+({10}^1\times 0)+({10}^0\times 8)$

2. $({10}^2\times 9)+({10}^1\times 8)$

3. $({10}^3\times 9)+({10}^1\times 0)+({10}^0\times 8)$

4. $({10}^3\times 9)+({10}^2\times 0)+({10}^1\times 8)$

Q.

Multiply the terms $-3x^2{y}^2,-2xy,2x^{2}y$ and verify the product for $x=1$ and $y=2$

1. 186

2. 190

3. 180

4. 192

Q. For the following algebraic expression, write a suitable statement in words: $2x-3y=16$

Q.

Question 83 (v)

Multiply the following :

$-3x^{2}y,(5y-xy)$

Q. For the following algebraic expression, write a suitable statement in words:​
$(3x+12)-y<3a$".

Q. Question 46

In the question given below, fill in the blank to make the statement true:

$38x^3{y}^{2}z÷19x{y}^2$ is equal to ___

Q.

Evaluate $a^3$ x $3a^2$ x $-2a^7$ for $a=1$

1. 

2. 

3. 

4. 

Q. Express the statement in algebraic form:
The sum of $2$ and $x$ is greater then $y$.

Q.

Prove that ${\left(\frac{x^l}{x^{-m}}\right)}^{l-m}\times {\left(\frac{x^m}{x^{-n}}\right)}^{m-n}\times {\left(\frac{x^n}{x^{-l}}\right)}^{n-l}=1$

Q. Express the statement in algebraic form:
The sum of $x$ and $y$ is less than $24$.

Q.

The value of $(3x^2+5y^2)(4xy-5y)$, if the value of $x=2$ and $y=3$ is ___.

Q.

The value of $3x^3{y}^2$ for $x=1$ and $y=2$ coincides with the value of $4a+b$ for $a=2$ and $b=4$.

1. True

2. False

Q.

Find the value of $m^2+7m-60$ when $m=-3$

1. 4(m-6)

2. 2(m+6)

3. (m+12)

4. None of these

Q.

The value of $(3x^2+5y^2)(4xy-5y)$, if $x=2$ and $y=3$ is $513$.

1. True

2. False

Q.

The value of $abc(a^2+b^2)$ for $a=1$, $b=1$ and $c=2$ is:

1. 1

2. 4

3. 8

4. 2

Q.

Distance between Mumbai and Pune is $(2y^2+y+2)$. There are two routes to travel from Mumbai to Pune as shown in the figure.

What is the difference between the distance covered through the two routes?

1. 32 units
2. 23 units
3. 57 units
4. 34 units

Q.

The value of ${1000}^0$ is 1000.

1. True

2. False

Q.

The value of $x(x+3)(x^2+6)$ when $x=2$ is

1. 10

2. 1

3. 100

4. 1000

Q. Ram has certain number of chocolates. If he gets the same number of chocolates from his friend, then how many chocolates does he have in total ?

1. $x+y,\text{both x and y are different}\text{variables}$
2. $2x$
3. $x^2$
4. $x+xy\text{both x and y are different}\text{variables}$

Q.

Look at the following matchstick pattern of squares (fig 11.6). The squares are not seperate . Two neighbouring squares have a common matchstick. Observethe patterns and find the rule that gives the number of matchsticks in terms of the numbers ofthe squares.( Hint : If you remove the vertical stick atthe end you will get a pattern of Cs.)

Q. Ram has certain number of chocolates. If he gets the same number of chocolates from his friend, then how many chocolates does he have in total ?

1. $x+y,\text{both x and y are different}\text{variables}$
2. $2x$
3. $x^2$
4. $x+xy\text{both x and y are different}\text{variables}$

Q.

The sum of $7$ and a number$y$ is$12$. Find the number $y$

Q.

Multiply the following :

$\left(\frac{3}{5}m\right)\times \left(m{n}^2-\frac{3}{4}{l}^{2}m-2n^2+\frac{4}{7}lm{n}^2\right)$

Q.

Complete the table of products.

$\begin{array}{cccc}FirstPolynomial\to & a^2+b^2& c+5d^2& -6p^2+5p\\ SecondPolynomial\downarrow & & & \\ -ab+d& & & \\ -cd+ab& & & \\ abcd-pq& & & \end{array}$