Expressing Relations in Multiplication and Addition

Q.

20% of a number is 150. Find the number.

1. 750

2. 600

3. 900

4. 850

Q.

$3-\left(\frac{12}{5}\right)$ how to solve this with steps?

Q. A man is 30 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:

1. 24 years
2. 20 years
3. 28 years
4. 18 years

Q.

Solve the following by factorisation: $8x^2-22x-21=0$.

Q. General algebraic form of a three digit number pqr is:

1. 3p + 2q + r
2. 2p + 1q + r
3. 100p+ 10q +r
4. 100p+ 10r +q

Q.

Two natural numbers differ by 6 and their sum is 36. Find the larger number

1. 27

2. 19

3. 15

4. 21

Q.

Solve the following equation by factorisation: $15y^2=41y-14$

Q.

The branch of mathematics in which we study the use of letters to write rules and formulas in a general way is known as ___ .

Q.

The perimeter of a square is 124 cms. What is the length of its side?

1. 124 cms

2. 31 cms

3. 93 cms

4. 62 cms

Q.

The area of a rectangle is equal to 240 square centimetres. What is the length of the rectangle if its breadth is 12 cms

1. 20 cms

2. 10 cms

3. 16 cms

4. 12 cms

Q.

Ravi is 40 years older than Tony. In five years, he will be twice as old as Tony. Find their present ages.

Q.

Product of a number and 5 is 35. Find the number.

1. 7

2. 6

3. 5

4. 8

Q.

Solve for x: 7(x - 1) = 3 (x - 5)

1. -1

2. 2

3. -2

4. 1

Q.

Solve for $x:\frac{x-2}{3}=\frac{2x}{7}$

1. 7

2. -14

3. 14

4. -7

Q.

Solve for $x$ : $45x-20-26x=37$

1. 0

2. 2

3. 1

4. 3

Q.

Write the statements for the following algebraic expression:

$8-7\mathrm{p}$

Q.

The breadth of a rectangle is $x$ cm. If its length is $3$ times its breadth, then find area of the rectangle.

Q.

The letters/variables used in algebra for writing rules and formulas in a general way, can represent

1. Numbers

2. Angles

3. Both A & B

4. None of these

Q.

Mr. Roy buys potatoes at Rs.$12/kg$ and onions at Rs.$14/Kg$. If he buys $x$kg of potatoes and $3$ kg less onions than potatoes , find the algebraic expression for his expenditure

Q.

Fill in the blanks:

The branch of mathematics in which variables are used in place of numbers is called……. .

Q.

Find the value of $(x+y)(2x+y)+(x+2y)(x-y)$ when $x=-2$ and $y=-1$

1. 18

2. 17

3. 19

4. 21

Q. Who invented Algebra?

Q. What is algebra ?

Q. How to solve the equation 0.25(5p-3) =0.75(3p-2)

Q. Mira's age after two years will be twice her present age, what is her present age?

Q.

If $A=3a-2b,B=-2a+3b$and$C=-a-b$.

Find$A+B+C$

Q. Which of the following have the same perimeter?

1. A rectangle with length 2 cm and breadth 1 cm.
2. A square of side 4 cm.
3. A rectangle with length 7 cm and breadth 1 cm.
4. A regular octagon of side 2 cm.

Q. Explain Binomial theorem

Q.

The letters/variables used in algebra for writing rules and formulas in a general way can represent

1. Numbers

2. Angles

3. Both A & B

4. None of these

Q.

what is algebra