1.

If $4x - 5 = 18 - 7x$, then $x =$

2.

$\frac{5t^{2} - 30t}{5t} = $

3.

If $\begin{cases}2x + 3y = 6\\ x = -2y + 5\end{cases}$, then $y =$

4.

The area of the square $ABCD$ in the figure below is 64. What is the area of the shaded triangle in $AED$?

5.

If the average weight of the four players listed in the table below is 250 pounds, what is the weight, in pounds, of Player $U$?

Player |
Weight (in pounds) |

$R$ |
270 |

$S$ |
230 |

$T$ |
240 |

$U$ |
? |

6.

The ratio of the number of boys to the number of girls in an algebra class is 4 to 5. If there are 45 students in the class, how many are girls?

7.

In the right triangle $ABC$ below, $BC =$

8.

$\frac{a}{b}+\frac{b}{a}=$

9.

What is the slope of the line through the points (2,1) and (4,2)?

10.

If the area of the square shown below is 36, what is the area of the inscribed circle?