Algebraic Expression

Q.

In a college of $300$ students, every student reads $5$ newspapers and $60$ students read every newspaper. The number of newspapers is ______

Q. why F=dp/dt or F=ma

Q.

$\text{Simplification of}6-\{\frac{3}{2}+(\frac{3}{5}-\frac{1}{2}\left)\right\}\text{gives:}$

1. $1\frac{6}{10}$

2. $4\frac{4}{10}$

3. $3\frac{3}{10}$

4. $5\frac{1}{5}$

Q. Write the algebraic expression for the following:

5 is added to three times the number $x.$

1. $3x-5$
2. $5x+3$
3. $3x\times 5$
4. $3x+5$

Q. differentiate (ax+b) from the first principle

Q.

Find the product: $\left(p^2-q^2\right)\left(2p+q\right)$

Q. Square brackets are also called as

1. big brackets
2. small brackets
3. middle brackets

Q.

Find the length and breadth of a rectangle given that its perimeter is $240cm$ and the length is $4$ times its breadth.

Q. Two-third of the students in a classroom are boys. If the total number of students in the class is $x$, what is the expression for the number of girls in the class?

1. $\frac{1}{3}x$
2. $3x$
3. $\frac{3}{2}x$

Q.

Simplify:${(m^2-n^{2}m)}^2+2m^3{n}^2$

Q. Which among the following is the unit of area?

1. $m^2$
2. $m^3$
3. $m$
4. All of the above

Q.

Write the coefficient of:​
$xy\text{in}-2xyz$

​

​

​

​

Q.

Express the statement in algebraic from:
$7y$ subtracted from $5x$ gives $8z$.

Q. what is crest

Q.

Express the statement in algebraic from:
$8x$ dicided by $y$ is equal to $2z$.

Q.

The perimeter of a rectangular swimming pool is $154\mathrm{m}$.

Its length is $2\mathrm{m}$ more than twice its breadth.

What are the length and the breadth of the pool?

Q.

A pump empties $500l$of water in$5minutes$. How long will it take to empty a tank containing $1200l$ of water? How much water can this pump empty in$7minutes?$

Q. Find the value of $-1[a-3\{b-4(a-\overline{b-8})+4a\}+10]$ if a = 1, b = 0.

1. -107

Q.

There are $42$ people at a museum.

Two-thirds of them are children.

How many children are at the museum?

Q.

Write the coefficient of:​
$x\text{in}-3x{y}^2$

​

​

​

​

Q.

Raman turns on the hot water pipe, which delivers water at $8.5L/min$ into the bathtub. Two minutes later he also turns on the cold water pipe, which delivers water $13.0L/min$. Let Raman turned the cold water pipe for $xminutes$.

Write an expression for the amount of water that the cold water pipe has delivered.

Q. Express the statement in algebraic form:
$15$ multiplied by $m$ gives $3n$.

Q. Which of the following is not an example of types of brackets?

1. Parenthesis
2. Middle brackets
3. Vinculum
4. Medium bracket

Q. Olivia had bought x apples from a store. When she got home, she found that 4 of them were rotten. Of the rest, she gave one-third to her daughter. How many apples did she give to her daughter?

1. $\frac{\text{x - 4}}{3}$
2. $\frac{\text{x + 4}}{3}$
3. $\left(\text{x - 4}\right)\times 3$
4. $\left(\text{x - 4}\right)÷3$

Q. Equation is a mathematical statement that establishes equality between 2 expressions.

1. False
2. True

Q. We can find the value of all the variables where $a=2b,c=3b$ if we know the value of .

1. only both a and b
2. only a
3. either a or b or c

Q. Identify the operations ( addition, subtraction, division, multiplication) in forming the following expressions and tell how the expressions have been formed.
$z+1,z-1,y+17,y-17$

Q. Which of the following defect changes the formula of solid Schottky defect F- centre defect Anion excess defect Frenkel defect

Q. Evaluate: $30-[26-\{15+(8-\overline{6-3})\left\}\right]\times \frac{8}{15}÷\frac{4}{9}\times \frac{3}{4}-\frac{1}{2}+1$ [4Mark]

Q. What is meant by DBE ? EXPLAIN IN BRIEFLY.