Algebra Triangle A B C has side lengths of $A B=x^2-x+5, B C=5 x-4$, and $A C=3 x^2-2 x-1$. If $\triangle A B C$ is isosceles where $A B=B C$, find the lengths of all sides.

Algebra Find the hypotenuse of a right triangle with legs measuring $3 x$ and $4 x$.

Construct a truth table for " s and not t," where s and t are logical statements.

Landscaping A newly planted tree will be secured by wires, each attached to the ground 1.5 meters from the base of the tree. If each wire is 4 meters long, how high up the tree should each wire be attached, to the nearest tenth of a meter?

Write the converse of the theorem, "If two parallel lines are cut by a transversal, then the same-side interior angles are supplementary." Is the converse true?

Since the polygons are regular, how can you calculate the sum of the interior angles for each polygon?

Multiple Choice The exact conversion from Celsius to Fahrenheit is ${ }^{\circ} \mathrm{F}=\frac{9}{5}\left({ }^{\circ} \mathrm{C}\right)+32$. The actual temperature at which the two temperature scales have the same numerical value is \

$$\begin{array}{ll}\text { A }-30 \text { degrees } & \text { B } 30 \text { degrees } \\ \text { C }-40 \text { degrees } & \text { D } 40 \text { degrees }\end{array}$$

Stereo Equipment The front of a speaker box is shaped like a trapezoid with a height of 2 feet, a lower base of 4 feet, and an upper base of 3 feet. How many square feet of mesh is needed to cover the front of the speaker?

Track and Field The area used for shot-put events is a sector of a circle with a central angle of $45^{\circ}$. What would be the arc measure (x) 50 meters away from the center of the area?

Algebra Find the area of a trapezoid with a height of $\dfrac{1}{4} x$ and base lengths of $3 x$ and $5 x$.

Model Line $\ell_1$ and $\ell_2$ are parallel lines. Point $P$ lies on $\ell_1$, and point $M$ lies on $\ell_2$. Draw a line through $P$ and $M$. Label one pair of alternate interior angles, and label one pair of corresponding angles.

Is the statement, "A parallelogram is a rectangle," always, sometimes, or never true?

Write the equation of a line with slope $\frac{1}{2}$ that passes through $(3,4)$.

Write The Fibonacci Sequence is a famous pattern which begins: 1,1,2,3,5, $8,13,21, \ldots$ Describe the pattern and give the next four terms.