Addition of Algebraic Expressions

What is the sum of all numbers from $1$ to $99$?

Simplify 16*2n+1-4*2n/16*2n/1*2n+2-2*2n+1

The sum of the digits of a two digit number is 9. When 9 is added to the number, the digits of the number will reverse.

What is the original number?

1. 54

2. 45

3. 36

4. 63

(-8) ÷ 0 =?

1. 2
2. 4
3. 3
4. 5

1. $2x^3+4x^2-3x+14$
2. $2x^3+x^2-3x+17$
3. $2x^3+x^2-3x+14$
4. $2x^3+x^2-x+14$

1. 2$a^2+3ab+3$ and 35
2. 2$a^2+ab+3$ and 32
3. 2$a^2+3ab+13$ and 37
4. 2$a^2+ab+3$ and 38

If the digits of a three-digit number are reversed , then the number so obtained is less than the original number by $297$.If the sum of the digit of the number is $8$ and its hundreds digit has the largest possible value, then the tens digit of the number is :

1. $3$

2. $2$

3. $1$

4. $0$

Solve : $8x+3=27+2x$

Give expression for the following case.

y is multiplied by - 8.

1. 10
2. 5
3. 11

Rohan's dad's age is 3 more than 4 times of his present age. If Rohan is 11 years old, his dad's age is :

1. 47

2. 46

3. 48

4. 42

The shortest distance between city X and city Y is 100 miles. The shortest distance between city Y and city Z is 450 miles. What can be the distance, in miles, between city X and city Z?

1. 550 miles

2. 250 miles

3. 350 miles

4. 400 miles

1. $x$ and $z$ are linear but not proportional.
2. $x$ is not proportional to $z$
3. $x$ equals to $z$
4. $x$ is proportional to$z$

The cost of 2kg orange and 3 kg apple was found to be Rs. 200. The correct expression for this situation is

1. 7O+3A=160

2. None of these

3. 2O+3A=200

4. 4O+4A= 200

1. 12x + 11
2. 11
3. 9x + 12
4. 6x + 13

The perimeter of the shape shown below is given to be 100 units. Find $x.$

1. 9

2. 10

3. 11

4. 12

A number is divided by 5 to get a quotient as 19 and remainder as 2. Find the number.

1. 97

2. 100

3. 62

4. 34

Solve the following.

The cost of 30m of cloth is Rs. 450. Find the cost of 10m of cloth.

Add:

(i) 3mn, − 5mn, 8mn, −4mn

(ii) t − 8tz, 3tz − z, z − t

(iii) − 7mn + 5, 12mn + 2, 9mn − 8, − 2mn − 3

(iv) a + b − 3, b − a + 3, a − b + 3

(v) 14x + 10y − 12xy − 13, 18 − 7x − 10y + 8xy, 4xy

(vi) 5m − 7n, 3n − 4m + 2, 2m − 3mn − 5

(vii) 4x²y, − 3xy², − 5xy², 5x²y

(viii) 3p²q² − 4pq + 5, − 10p²q², 15 + 9pq + 7p²q²

(ix) ab − 4a, 4b − ab, 4a − 4b

(x) x² − y² − 1 , y² − 1 − x², 1− x² − y²

Find the sum of
$2mn+11xand22x+4mn$.

1. $6mn+33x$

2. $33mnx$

3. $5mn+22x$

4. $29mnx$

Add
( 2a + 3b - 4c ) ; ( 8c + 4a - 5b ) and ( 6b + 5c - 2a )

The sum of $4y(3y^2+5y–7)$ and $2(y^3–4y^2+5)$ is $14y^3+12y^2+28y+10.$

1. True

2. False

Add $(3+2y-5y^2+6y^3),(-8+3y+7y^3)$ and $(5-6y-8y^3+y^2)$.

1. $-3y-4y^2+5y^3$

2. $-y-3y^2+5y^3$

3. $-y-4y^2+5y^3$

4. $-y-4y^2+6y^3$

1. 7
2. 9
3. 37
4. 47