Question 1 :
How many monomials are there in the list ? $– z + 5$, $x + y + z$, $y + z + 100$, $ab – ac$, 17
Question 4 :
State true or false. In general, any expression containing one or more terms with non zero coefficients (and with variables having non-negative exponents) is called a polynomial.
Question 6 :
Subtract $3xy + 5yz – 7zx$ from $5xy – 2yz – 2zx + 10xyz$
Question 7 :
If m – n = 16 and $m^2 + n^2$ = 400, then find mn.
Question 10 :
If a + b = 25 and $a^2 + b^2= 225$ then find ab.
Question 11 :
Use a suitable identity to get the following product : $(2y+5)(2y+5)$
Question 12 :
Check if the following is true or false: $2ax^2 + 4axy + 3bx^2 + 2ay^2 + 6bxy + 3by^2=(2x+3)(6b+xy)$
Question 13 :
Find the volume of rectangular box whose length, breadth and height are 2ax, 3by and 5cz respectively.
Question 14 :
State true or false: $(a + b) (a + b) (a + b) = a^3 + 3a^2b + 3ab^2 + b^3$
Question 15 :
If x – y = 13 and xy = 28, then find $x^2 + y^2$.
Question 17 :
State true or false: 4l and -7l are like terms, which are like 2l.
Question 18 :
Obtain the volume of rectangular box with the following length, breadth and height respectively: $xy, 2x^2y, 2xy^2$
Question 21 :
State true or false: $(p – q) (p^2 + pq + q^2) = p^3 + q^3$