Algebraic Expression

The number of like terms amongst the following monomials:

 $\left(i\right)x^2y\ \left(ii\right)-3xy^2\left(iii\right)2xy\ \left(iv\right)44xy^2\ \left(v\right)44xy$  

• i and ii

• (ii and iii) And (iv and v)

• ii and iv only

• (ii and iv) And (iii and v)

The perimeter of the shape can be given by

• $2a+2y+2x$

• $2a+y+2x$

• $2a+3x+y$

• $2axy$

 $24x^2+32x+44xy^2+3$  

The degree of the following expression is

• 24

• 3

• 32

• 2

The are of the square is  $48a^2$  while area of the shape inscribed within the square is  $24a^2+2b^2$ . Find the area of the sqaure without the inscribed shape

•  $24a^2-2b^2$  

•  $a^2+b^2$  

•  $24a^2+2b^2$  

•  $48$  

 $-9x^2y^3+24ab^2c^4$  

The degree of the expression is

• 5

• 6

• 7

• 4

 $𝑢^2𝑣+5𝑢^2−3𝑣^2.$  

Simplify the above expression

• it can not be simplified because the degrees of the terms are different

• It cannot be simplified because there are no like terms to combine.

•  $u^2v+8u^2v^2$  

•  $u^2v+15$  

 $(5𝑦^2−3𝑦+15)+(3𝑦^2−4𝑦−11).$  

•  $2y^2+4y-4$  

•  $8y^2-7y-4$  

•  $8y^2-7y+4$  

•  $8y^2+y+4$  

 $(9𝑤^2−7𝑤+5)−(2𝑤^2−4)$  

•  $7w^2-7w-1$  

•  $7w^2-7w+9$  

•  $-1$  

• no like terms

 $\frac{3}{2}x^2$  

The coefficient of the term is

• 2

• 3

•  $\frac{3}{2}$  

•  $\frac{6}{2}$  

Madhu travels 256 kms by train to Jaipur from Barmer at the cost of Rs 5 per km. She hires a cab to tour Jaipur at the rate of Rs 12 per km for the first 20 km and then 15 per km for the rest of the journey. Write an expression for the total cost of her journey when she has travelled  $20+x$  km in Jaipur

•  $\left(256\times5\right)\ +\left\{12\left(20+x\right)\right\}$  

•  $\left(256\times5\right)+\left(12\times20\right)+15x$  

•  $256+20+x$  

•  $256x^2+20x+15$