Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Algebraic Expressions, Exercise 7: CHAPTER-END EXERCISES

Evaluate the following expressions for $x=-2, y=-1, z=3$:

$3x^{2}y+5x{y}^2+2xyz$

Evaluate the following expressions for $x=-2, y=-1, z=3$:

$x^3+y^3+z^3-3xyz$

Evaluate the following expressions for $x=-2, y=-1, z=3$:

$\frac{x}{y}+\frac{y}{z}+\frac{z}{x}$

Simplify $2x-\left[3x-\left\{4x-\left(3y-2x-2y\right)\right\}\right]$.

Evaluate each of the following algebraic expression .

$$\begin{gathered} x=1, y=-1,z=2, \\ a=-2, b=1, c=-2, \end{gathered}$$

$\mathrm{i}. \mathrm{ax}+\mathrm{by}+\mathrm{cz}$

Evaluate each of the following algebraic expression 

$$\begin{gathered} x=1, y=-1,z=2, \\ a=-2, b=1, c=-2, \end{gathered}$$

$\mathrm{ii}. {\mathrm{ax}}^2+{\mathrm{by}}^2-{\mathrm{cz}}^2$

Evaluate each of the following algebraic expression

$$\begin{gathered} x=1, y=-1,z=2, \\ a=-2, b=1, c=-2, \end{gathered}$$

$\mathrm{iii}. \mathrm{ax}y+\mathrm{by}z+cxy$

Mona's father is thrice as old as Mona.After $12$ years, he will be just twice his daughter.Find their present ages