Formation of Algebraic Expressions

Q.

The sum of three consecutive multiples of $8$ is $888$. Find the multiples

Q. Lipika reads a book for $1\frac{3}{4}$ hours every day. She reads the entire book in 6 days. How many hours in all were required by her to read the book? [3 Marks]

Q.

Everybody in a room shakes hands with everybody else. The total number of hand shakes is $66$. The total number of persons in the room is

1. $9$

2. $12$

3. $10$

4. $14$

Q.

Everybody in the room shakes hands with everybody else. The total number of hand shakes is$66$. The total number of persons in the room is

1. $11$

2. $12$

3. $13$

4. $14$

Q.

How to convert $65$ into binary ?

Q.

The cost of $\frac{19}{4}$metres of wire is$₹\frac{171}{2}$. Find the cost of one metre of the wire.

Q.

Village $\mathrm{X}$ has a population of $68000$ which is decreasing at the rate of $1200$ per year. Village $\mathrm{Y}$ has a population of $42000$, which is increasing at the rate of 800 per year. In how many years will the population of two villages be equal?

Q. Which of the following is a mathematical phrase that contain numbers, variables and operators?

1. Algebraic coefficient
2. All of the above
3. Algebraic equation
4. Algebraic expression

Q.

Find the value of:

$\frac{-7}{12}÷\left(\frac{-2}{13}\right)$

Q.

Question 78

The sum of two integers is 30. If one of the integer is -42, then find the other.

Q.

Write $2754629$ in words in international system of numeration.

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

Q.

Auto's in Bangalore have a fixed charge of Rs. 25 for first 2 km and then an additional charge of Rs. 13 per additional km. If $x$ represents the distance travelled, the expression for total charge is ______.

1. None of these

2. $13x+1$

3. $13x-1$

4. 25 + $13x$

Q.

What number is $80$ percent of $60$?

Q.

Twice the number decreased by 22 is 48. Find the number.

Q.

Question 96

Sunita is half the age of her mother Geeta. Find their ages

(i) after 4 years.

(ii) before 3 years.

Q.

Question 2 (ii)

Identify the terms and factors in the expressions given below:

a) -4x + 5

b) $5y+3y^2$

c) -4x + 5y

d) $xy+2x^2{y}^2$

e) p + q

f) -2.4b+3.6a

g) $\frac{3}{4}x+\frac{1}{4}$

h) $0.1p^2+0.2q^2$

Q. Archana bought some kilograms of wheat. She requires 12 kg per month and she got enough wheat milled for 3 months. After that, she had 14 kg left. How much wheat had Archana bought altogether?

Q.

Write an expression for the following statement:
Five more than twice a number.

Q.

If $90\%$of $\mathrm{x}$ is $315\mathrm{km}$, then the value of $\mathrm{x}$ is

1. $325\mathrm{km}$

2. $350\mathrm{km}$

3. $405\mathrm{km}$

4. $340\mathrm{km}$

Q.

If $2$ is added to the numerator of a fraction, it reduces to $\frac{1}{2}$ and if $1$is subtracted from the denominator, it reduces to$\frac{1}{3}$.

Find the fraction.

Q.

Convert the given statement into expression form and simplify:

One-fifth of a number minus $4$ gives $3$

Q.

Which of the following is a mathematical phrase that can contain numbers, variables and operators?

1. Algebraic expression

2. Algebraic coefficient

3. All of the above

4. Algebraic equation

Q.

Question 4 (v)

Find the value of:
$\frac{-2}{13}÷\frac{1}{7}$

Q.

Which of the following is a mathematical phrase that can contain numbers, variables, and operators?

1. Algebraic variable

2. Algebraic expression

3. All of the above

4. Algebraic coefficient

Q.

Simplify

$(s^{2}t+t{q}^2{)}^2-(2stq{)}^2$

Q.

The weight of 72 books is 9 kg.

How many such books would weigh 6 kg?

Q.

The number that exceeds its square by the greatest amount is

1. $-1$

2. $0$

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

4. $\frac{-1}{2}$

Q. In a polygon, any two sides with a common vertex are called ________ sides.

1. parallel
2. perpendicular
3. adjacent
4. opposite

Q. Write the mathematical expression for the following and find its value.
'Twenty divided by the difference of seven and two.'

1. 20 ÷ (7 - 2), 4
2. 20 ÷ 7 - 2, 5
3. 20 ÷ (7 - 2), 1
4. (7 - 2) ÷ 20, 4