Question 1 :
State the following statement is True or False<br/>The coordinates of the origin are $(0, 0)$.

Question 3 :
Factors of $\left (x^{2} + \dfrac {x}{6} - \dfrac {1}{6}\right )$ are

Question 4 :
If $x-3$ is a factor of $x^3+3x^2+3x+p$, then find the value of $p$.

Question 6 :
If $a + b + c = 0$ then $a^3 + b^3 + c^3$ is

Question 8 :
If $(y - 3)$ is a factor of $y^{3} + 2y^{2} - 9y - 18$, then find the other two factors

Question 10 :
If $\displaystyle x = \dfrac{1}{x - 5}$ and $\displaystyle x \neq 5$, find the value of$\displaystyle x^{2} - \dfrac{1}{x^{2}}$<br/>

Question 11 :
Find the value of the reminder obtained when $6x^4 + 5x^3 - 2x + 8$ is divided by $x-\dfrac{1}{2}$.

Question 21 :
What is the equation for this statement? 'Half of a number added to $10$ is $15$.&#160;

Question 23 :
If the graph of the function $y = mx + c$ passes through origin, then 'c' must be zero.

Question 24 :
A linear equation in two variable has .......... and its graph is a .......

Question 25 :
The point of the form $(a, -a)$ always lies on the line<br/>

Question 27 :
Manoj, the landscaper buyer intends to buy a new commercial grade lawn mower that costs $\$2,800$. He expects it to last about $8$ years, and then he can sell it for scrap metal with a salvage value of about $\$240$. Calculate it's approximate value after $x$ years $(x&lt;8)$ assuming that it's value depreciates at a constant rate.<br/>