Take different numbers, positive, negative and zero as $x, y, z$ and compute $x+\left(y+z\right)$ and $\left(x+y\right)+z$. Check whether the equation, $x+(y+z)=\left(x+y\right)+z$ holds for all these numbers.

Take various positive and negative numbers as $x, y, z$ and compute $\left(x+y\right)z$ and $xz+yz$. Check whether the equation $\left(x+y\right)z=xz+yz$ holds for all these.

In the equation $y=x^2$, take $x=-5$, $x=5$ and compute the value of $y$.

In the equation $y=x^2+3x+2$, take $x=-2$ and compute the value of $y$.

In the equation $y=x^2+5x+4$, take $x=-2$, $x=-3$ and compute the values of $y$.

In the equation $y=x^3+1$, take $x=-1$ and compute the value of $y$.

In the equation $y=x^3+x^2+x+1$, take $x=-1$ and compute the value of $y$.

For a point starting at a point $P$ and travelling along a straight line, time of travel is taken as$t$and the distance from $P$ as $s$. The relation between $s$ and $t$ is found to be $s=12t-2t^2$, where distances to the right are taken as positive numbers and to the left as negative numbers.

Is the position of the point to the right or left of$P$, till $6$ $\mathrm{seconds}$?

For a point starting at a point $P$ and travelling along a straight line, time of travel is taken as$t$and the distance from $P$ as $s$. The relation between $s$ and $t$ is found to be $s=12t-2t^2$, where distances to the right are taken as positive numbers and to the left as negative numbers. Where is the position at $6$ seconds?