Solve the inequality $\frac{x}{3}+5>2$

Find the co-ordinates of the point of intersection of the two lines.

$2x-7y=2$

$4x+5y=42$

Write the following as a single fraction in its simplest form.

$\frac{x+2}{3}-\frac{2x-1}{4}+1$

Jay makes wooden boxes in two sizes. He makes $x$ small boxes and $y$ large boxes.
He makes at least $5$ small boxes.
The greatest number of large boxes he can make is $8$.
The greatest total number of boxes is $14$.
The number of large boxes is at least half the number of small boxes.

Write down four inequalities in $x$ and $y$ to show this information.

Jay makes wooden boxes in two sizes. He makes $x$ small boxes and $y$ large boxes.
He makes at least $5$ small boxes.
The greatest number of large boxes he can make is $8$.
The greatest total number of boxes is $14$.
The number of large boxes is at least half the number of small boxes.

Draw four lines on the grid and write the letter $R$ in the region which represents these inequalities.

Jay makes wooden boxes in two sizes. He makes $x$ small boxes and $y$ large boxes.
He makes at least $5$ small boxes.
The greatest number of large boxes he can make is $8$.
The greatest total number of boxes is $14$.
The number of large boxes is at least half the number of small boxes.

The price of the small box is $\$ 20$ and the price of the large box is $\$ 45$.

What is the greatest amount of money he receives when he sells all the boxes he has made?

Simplify the following.

$\frac{h^2-h-20}{h^2-25}$

Simplify.

$\frac{x^2+6x-7}{3x+21}$