# Introduction to Algebra

## Trending Questions

**Q.**

Two students appeared at an examination. One of them secured $9$ marks more than the other and his marks were $56\%$ of the sum of their marks. What are the marks obtained by both of them?

$25and78$

$58and77$

$33and42$

$56and63$

**Q.**Which of the following is an expression with numbers only?

- m + 4
- y/17
- 2(14 - 7) + 6
- 7x + 3

**Q.**Solve the given equation by the trial and error method:

2x + 5 = 13

- 8
- 11
- 3
- 4

**Q.**4 chairs and 3 tables cost Rs.2100 and 5 chairs and 2 tables cost Rs 1750 then the costs of a chair and a table separately would be? Kindly use one variable only.

**Q.**There are 15 fruits in a basket. Basket contains 'a' number of apples, 'b' number of grapes and 'c' number of kiwis. The value of a+b+c would be

- 10
- 15
- 20

**Q.**What is the diameter of the clock in Ben's shop, if it's radius is r?

- 2r
- 3r
- 4r
- 5r

**Q.**A Beetle's basket contains 20 fruits in total which includes bananas, apples and oranges. If there are 10 bananas and 5 apples, how many oranges are there in the basket?

- 10
- 15
- 5
- 20

**Q.**Which among the following values satisfies the equation 3n + 11 = 35?

- 9
- 6
- 7
- 8

**Q.**Ben is 't' years old. His cousin is 6 more than 3 times his age. How old is his cousin?

- 3t + 5
- 3t + 6
- 4t + 5
- 5t + 3

**Q.**Ben keeps 4 apples in a carton. How many apples are there in p cartons?

- 4m
- 5n
- 8p
- 4p

**Q.**Bob's brother is y years old. If Bob is 4 years younger than his brother, what is Bob's age?

- (4−y) years
- (y−4) years
- (y+4) years
- (y×4) years

**Q.**

Solve each equation using trial and error method

$5b+6=11$

**Q.**

Find the rule which gives the number of matchsticks required to make the following matchstick patterns. Use a variable to write the rule.

- 4n
- 2n
- 5n
- 9n

**Q.**Find the perimeter of a pentagonal photo frame having side length a units.

- 5a
- 6a
- 4a
- 3a

**Q.**

What is the number of matchsticks you need to make n number of 2's?

2n

5n

5+n

Cannot tell without knowing the value of n.

**Q.**

Subtract by horizontal method : $(2\mathrm{a}+3\mathrm{b})$from $(5\mathrm{a}-7\mathrm{b})$

**Q.**

Multiple Choice Questions. Tick Only One Option.

A variable

can vary its value

Has fixed value

Is called constant

None of these

**Q.**If Ben is x years old today, how old can he be in the future?

- x + 4
- x - 3
- x - 1/2
- x - 2

**Q.**

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

Algebraic Variable

Algebraic expression

Algebraic coefficient

Algebraic inverse

**Q.**

- 5y-2 = 13
- -p+11 = 2
- t+6 < 9

**Q.**If the cost of one apple in Ben's shop is d rupees , what is the cost of 5 apples in rupees?

- 3d
- 5d
- 4p
- 5n

**Q.**

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

Arithmetic

Algebra

Statistics

None of these

**Q.**Which value of q satisfies the equation 4q/3 > 13?

- 12
- 9
- 3
- 6

**Q.**Express the following linear equation in the form ax+by+c=0 and indicate the values of a, b, c 1 x=3y

**Q.**

Solve each equation using trial and error method

$4z+2=10$

**Q.**

I want to know that if in simplification of algebra the values are in different orders will the answer be correct .eg-3a^{2}+4b^{2}-8ab+6 as

4b^{2}+3a^{2}-8ab+6

**Q.**Which of the following is the default operation in algebra, if no operation is specified between two variables?

- Addition
- Subtraction
- Multiplication
- Division

**Q.**Which of the following is the default operation in algebra, if no operation is specified between two variables?

- Addition
- Multiplication
- Subtraction
- Division

**Q.**

Which out of the following are expressions with numbers only?

(a) *y* + 3 (b) (7 ×
20) − 8*z*

(c) 5 (21 − 7) + 7 × 2 (d) 5

(e) 3*x* (f) 5 − 5*n*

(g) (7 × 20) − (5 ×
10) − 45 + *p*

**Q.**What is the simple way of doing algebra ???