Subtraction of Algebraic Expressions

Q. 21b-32+7b-20b

Q. A man has ₹x from which he spends ₹ 6 . If twice the money left with him is ₹86, find x.

Q.

Q.

Each symbol given below represents an algebraic expression.

The symbols are then represented in the expression

Find the expression which is represented by the above symbols.

1. $10x^2-8y^2+x$
2. $10x^2+8y^2+3y+x$
3. $10x^2+8y^2+x$
4. $10x^2-3y-8y^2+x$

Q. From the sum of $x^2-y^2-1,y^2-x^2-1$ and $1-x^2-y^2$, subtract $-(1+y^2).$

1. $-x^2$
2. $-y^2$
3. $1$
4. $-1$

Q.

Subtract (2x+3y)from(3x+7y)

Q.

Subtract:

(i) − 5y² from y²

(ii) 6xy from − 12xy

(iii) (a − b) from (a + b)

(iv) a (b − 5) from b (5 − a)

(v) − m² + 5mn from 4m² − 3mn + 8

(vi) − x² + 10x − 5 from 5x − 10

(vii) 5a² − 7ab + 5b² from 3ab − 2a² −2b²

(viii) 4pq − 5q² − 3p² from 5p² + 3q² − pq

Q. What should be added to $6xy+3y^2+7x^2+2zx$ to get $2x^2+3xy$?

1. $3xy+3y^2+5x^2+2zx$
2. $-3xy+3y^2-5x^2+2zx$
3. $5x^2+3xy+3y^2+2zx$
4. $-5x^2-3xy-3y^2-2zx$

Q.

From the sum of 7a – 2b + 11 and -2a -5, subtract 7a – b + 4.

1. – 2a + b + 2

2. – 2a – b + 2

3. 2a + b + 2

4. – 2a – b – 2

Q.

Subtract : 4x – 3z from 9x + 8y + 9z

1. 5x – 8y +6z

2. 5x + 8y – 6z

3. 5x – 8y – 6z

4. 5x + 8y + 12z

Q.

Subtract -4x + 6 from -5x + 8 and then add 2x + 3 to the result

1. - x + 5

2. 2x + 5

3. -2x + 5

4. x + 5

Q.

(1) Subtract the sum of 3a and 4a from 9a

(2) Subtract (−5xy + 9yz) from (3xy − 4yz)

(3) Subtract (7m² − 2m) from (−4m − 7m²)

(4) Subtract (6a − 4b + c) from (−a + 3b − 5c)

(5) Subtract (−4x − 8y + 7) from (3y − 7x + 1)

(6) How much should be added to (5x − 3y) to get (3x − 5y)?

Q. Identify the type of algebraic expression we get after simplifying the given expression.
$(6x^2-8x+9y^2+4)-(5x^2+2x+6y^2+4+x^2)$

1. Monomial
2. Binomial
3. Trinomial
4. Polynomial

Q.

What must be subtracted from $4x^3-3x+5$ to get $2x^2-3x^3+5x-2$ ?

1. + - 8x + 7
   

2. - - 8x + 3
   

3. - - 8x + 7
   

4. - - 8x + 7
   

Q. Subtract the second expression from the first expression:
(1) $4pq-6p^2-2q^2$
(2) $9p^2+2pq-3q^2$.

1. $-15p^2+2pq+q^2$
2. $15p^2-2pq-q^2$
3. $15p^2-2pq-q^2$
4. $15p^2+2pq+q^2$

Q.

What should be subtracted from 12a – 16b to obtain -a – b?

1. 13a – 15b

2. -13a + 15b

3. -13a – 15b

4. 13a + 15b

Q. What should be subtracted from $3x^2-4y^2+5xy+20$ to obtain $-x^2-y^2+6xy+20$?

1. $3x^2+6y^2-2xy-40$
2. $4x^2-3y^2+6xy+40$
3. $4x^2-3y^2-xy$
4. $3x^2+6y^2+xy$

Q.

Simplify:

(2xy + 4yz + 9) - (3yz - 3xy - 1)

1. -xy + yz

2. -xy + yz + 10

3. xy + yz + 10

4. xy - yz + 10

Q.

When $5a^{2}b+10b^2{c}^2-21ab+32$ is subtracted from $50-20b^2{c}^2-4bc-ac-5ab$, we get

1. $18+30b^2{c}^2-4bc-ac+16ab-5a^{2}b+10b^{2}c$

2. $18-30b^2{c}^2-4bc-ac+16ab-5a^{2}b$

3. $20-30b^2{c}^2-4bc-ac+16ab-5a^{2}b$

4. $22-30b^2{c}^2-4bc-ac-16ab-5a^{2}b$

Q. Subtracting
(4m+2n-3p)
from
(5m+3n-3p)
gives ​​​​​​

1. -n - m
2. m + n
3. m - n

Q.

A rope is (8a – b) metres long. A length of (3a + b) is cut out of it. How much rope is left?

1. (5a + 2b) metres

2. 5a metres

3. (5a – b) metres

4. (5a – 2b) metres

Q.

What should be taken away from $3x^2-4y^2+5xy+20$ to obtain $-x^2-y^2+6xy+20$?

1. $3x^2-3y^2-xy$
2. $4x^2+3y^2-xy$
3. $4x^2-3y^2-xy$
4. $4x^2-3y^2+xy$

Q. Subtract the sum of $x^3+x^2-7xy+2y^2+56x$ and $-6x^3+9x^2-24xy-79x$ from the sum of $5x^3+2xy+4y^2$ and $7x^2-16xy+6y^2+6x$.

1. $10x^3-3x^2+17xy+8y^2+29x$
2. $-3x^2-45xy+12y^2-17x$
3. $10x^3-3x^2+7xy+8y^2+29x$
4. $10x^3-3x^2+17xy+2y^2+56x$

Q. What should be added to $6a^3+5a-2a^2-7$ to get $9a^2-2a-a^3+2$?

1. $5a^3+7a^2-3a+5$
2. $7a^3-11a^2+7a-9$
3. $5a^3+9a^2-5a+3$
4. $-7a^3+11a^2-7a+9$

Q. Subtract x² − 2xy + 5y² − 4 from 4xy − 5x² − y² + 6.

Q. From the sum of 3x² − 5x + 2 and −5x² − 8x + 9 subtract 4x² − 7x + 9.

Q. What should be subtracted from $x^2-xy+y^2-x+y+3$ to obtain $-x^2+3y^2-4xy+1?$

Q.

Alpha had ₹(4x – 3) with him. He spent ₹(2x – 1). How much money is left with him?

1. ₹(2x – 1)

2. ₹(2x + 1)

3. ₹(2x + 2)

4. ₹(2x - 2)

Q. Find the value of $(3a+2b)-(-2a-5b)$?

1. $5a+7b$
2. $-5a-7b$
3. $5a-7b$
4. $a-3b$

Q.

Subtract : 9a – 6b from -8a + 9b

1. a + 3b

2. 17a – 15b

3. -17a + 15b

4. a – 3b