Simplifying Polynomial by cancelling out Terms using Subtraction

Q. Match the following columns.

1. $y^2+x^2$
2. $0$
3. $x^2$
4. $\frac{5z}{4}$

Q.
What is the perimeter of above triangle?

1. $(x^4+3x^3+2x^2+4)$ units
2. $(x^4+2x^2+4)$ units
3. $(x^4+3x^3+2x^2+4)$ units
4. $(x^4+3x^3+2x^2+2)$ units

Q. Simplify:
$(4y^3+2y^2-y+9)-(y^3-5y^2+3)$

1. $3y^3+7y^2-y+6$
2. $5y^3-3y^2-y+12$
3. $3y^3+7y^2+6$

Q. Simplified form of the algebraic expression $\frac{x^2}{4}-2x^2+\frac{3x^2}{4}$ is

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

Q. By how much $p+2q+3r$ should be increased to get $5q$?

1. $3q-3p-3r$
   
2. $3q+p-3r$
   
3. $3q-p-3r$
4. $q-p-3r$
   

Q.

Write down the algebraic expression whose terms are :

$a^2,-2b^2,3c^{2}7,7$

Q. For the simplified form of the expression $2a+3b-4a+6b+2a-9b,$ which of the following statements is correct?

1. Contains only variable "$a$"
2. Contains only variable "$b$"
3. A constant term
4. Zero

Q. The sum of two expressions is $9x^2+4xy-7y^2$. If one of them is $6x^2+5xy-12y^2$, find the other expression.

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

Q. Emma is attempting to finish her summer reading in a week. This will allow her to relax for the rest of the summer. On Monday, she read $(3x^2+5x-7)$ pages, Tuesday $(-7x+9)$ pages, and Wednesday $(-2x^2+3x+4)$ pages. In three days, how many pages did she read?

1. $x^2-x+6$
2. $x^2+x-6$
3. $x^2+x+6$
4. None of the above