Algebra Generalized Arithmetic

Q.

The sum of two integers is -11 and their product is-80.What are the two integers?

Q. There are some lotus flowers in a pond and some bees are hovering around. If one bee lands on each flower, one bee will be left. If two bees land on each flower, one flower will be left. Then the number of flowers and bees respectively are ______________.

Q. the difference between two numbers is 18.if their sum is 86.what are the numbers?

Q.

$9$ subtracted from a number is ____________.

Q.

The sum of two numbers is 100 and their difference is 40. Find the numbers.

1. 70, 30

2. 90, 30

3. 60, 40

4. 80, 20

Q.

A number subtracted from $12$ is __________.

Q.

Question 3 (iv)

Subtract:

a(b - 5) from b(5 - a)

Q. The age of the father is twice the sum of the ages of his two children. After $20$ years, his age will be equal to the sum of the ages of his children. Find the age of the father.

1. $30$ years
2. $35$ years
3. $40$ years
4. $22$ years

Q.

The quotient of 40 and 5 is subtracted from the difference between 40 and 5, give to x . What is x?

Q.

How do you write an algebraic expression for the word phrase: one-third of a number$m$?

Q.

Write the following equations in statement forms:

(i) p + 4 = 15 (ii) m − 7 = 3

(iii) 2m = 7 (iv)

(v) (vi) 3p + 4 = 25

(vii) 4p − 2 = 18 (viii)

Q.

The sum of two numbers is 60. If one number is 40, then the other number is

1. 10

2. 20

3. 40

4. 30

Q. Write the expression for: 3 added to twice the number is 7

1. 2 + 7x = 3
2. 3 + 2x = 7
3. 7 + 2x = 3
4. 2x + 3 = 7

Q.

Question: 5

If $x$ takes the value 2, then the value of $x+10$ is

(a) 20

(b) 12

(c) 5

(d) 8

Q.

Expression 3(x+5) can be written as . What are the numbers to be filled in the box?

1. 3, 5

2. 1, 5

3. 1, 15

4. 3, 15

Q. Ruchi and Sindu went shopping, Sindu had twice the amount of money as Ruchi. Ruchi shopped for clothes worth rupees 60 and Sindhu spend rupees 210. Now both of them have the same amount of money left .how much money did each have in the beginning?
Pls, tell me how to solve.

Q.

Sam was given two integers x and y. If x is predecessor of y , find

y-x-31

Q.

'To a number, add another and then subtract this sum from the first number' is algebraically written as

1. $x-(x-y)$

2. $x-(x+y)$

3. $(x-y)+x)$

4. $(x+y)-x$

Q.

Find the number which when multiplied by 7is increased by78.

Q.

The sum of two numbers is 28 and their difference is 2. Then which of the following statement is/are true about the two numbers?

1. Both are primes.

2. Both are odd numbers.

3. One is an odd multiple of 3 and the other one is a prime.

4. Both are multiples of 3.

Q. Write the expression for: 4 added to thrice a number.

1. 3x + 3
2. 3x + 4
3. 4x + 3
4. 3(x + 4)

Q.

The sum of two numbers is 12 and their difference is 1. Then the two numbers

1. lie between 3 and 5.

2. lie between 4 and 6.

3. lie between 5 and 7.

4. lie between 6 and 8.

Q.

The linear equation for the statement "Twice a number subtracted from 29 gives 11" is

1. 2x - 29 = 11

2. 11 - 2x = 29

3. 2x - 11 = 29

4. 29 - 2x = 11

Q.

If an SUV can transport 7 people, a car can transport 5, a jeep can transport 8 and an auto can transport 2 people, which of the following combination can be used to exactly transport 25 people?

1. 300US dollars

2. 222 US dollars

3. 180 US dollars

4. 105 US dollars

Q.

Twice of a number is added to four times of another number, then which of the following represents correct unchanging relation ?

1. 2(x+y)

2. 2(x+2y)

3. 4(x+y)
   

4. 4(x+2y)
   

Q. Rasika has 12 balloons. She gave half of them to her friend Anisha and half from the remaining to Nidhi. How many ballons did she give away effectively?

1. 9

Q.

'A number which is '2' less than the sum of two consecutive natural numbers' is algebraically written as ______.

1. $2-(2x+1)$

2. $(2x+1)-2$

3. $(x+(x+1\left)\right)-2$

4. $2-(x+1)$

Q.

'Add thrice a number with twice the same number' is algebraically written as

1. 2x + 9y

2. 3x + 2x

3. 2x + 9x

4. 7x + 6x

Q.

Change the statement using expression into statement in ordinary language .

Ameena has $\mathrm{x}$ marbles. Sarita has $(\mathrm{x}+10)$ marbles. Change this statement using expression into statement in ordinary language.

Q.

there are 40 passenger on the bus.some has ticket worth 3 RS and remaining worth is 10 rupees.the total collection of their passenger is rupees 295 find how many passengers have worth 3 rupees .