Exponents and Radicals
Triangle Geometry
Systems of Equations and Inequalities
Factoring and Solving
Misc
100

Fully simplify:

x4 * x-4

1

100

What is the ratio of sides used for sine?

sin(θ) = opp/hyp

100

What are the three methods for solving a system of equations?

Graphing, Substitution, Elimination

100

Completely Factor the Following:

x2 - 9

(x - 3)(x + 3)

100

What number sets does the number 1/2 belong to?

Real, Rational

200

Fully simplify:

√(72)

6√(2)

200

If a right triangle has a hypotenuse of 8ft and one leg is 5ft, find the length of the last side. Leave as a simplified radical.

√(39)

200

List 4 points that work as a solution for the following set of inequalities?

Any vertex, or point in the shaded region.

200

Solve for y:

y2 + 3y - 18 = 0

y = -6, 3

200

What room number is this classroom?

202

300

Fully Simplify: 

(t3)-1 / t5

1 / t8

300

A 12ft ladder is placed against a wall and reaches 9 ft up on the wall. How far away from the base of the wall is the bottom of the ladder? Leave answer as a simplified radical.

3√(7) ft

300

Solve for x:

-2x + 3 > 7

x < -2

300

What method of solving would be most efficient for the following equation?

h = -3(t - 2)2 + 12

Extract the root

300

What is the relationship between two similar polygons? What is special about their side lengths?

Corresponding sides are in ratio with one another.

400

Fully Simplify:

3√(375x4)

5x 3√(3x)

400

The hypotenuse of a 30-60-90 triangle is 8 cm, how long are the two other sides? Leave answers in simplest radical form.

4cm and 4√(3)cm

400

Solve the following system of equations using any method:

y = 3x + 5

y + 5 = -2x

(-2, -1)

400
Solve for x:

3x2 + 8x + 4 = 0

x = -2, -2/3

400
What percent of your end-of-the-year final grade does the midterm exam count for?

3.3333333%

500

Fully Simplify:

  (x5(x-1)2 ) / (x-3)

x6

500

A plane is flying up in the air. The pilot looks down 35 degrees below the horizon and spots the runway 3000 m away. How high up in the air is the plane? You must draw a picture.

1720 m

500

Write two equations for the following scenario:

Kristin sold 11 French silk cheesecakes and 7 chocolate marble cheesecakes for a total of $204. Trevon sold 9 French silk cheesecakes and 10 chocolate marble cheesecakes for a total of $231.

11f + 7c = 204

9f + 10c = 231

500

How many real solutions does the following equation have?

2x2 - 5x + 10 = 0

no real solutions

500

Points to the closest team:

How many pages long is the reader?

151

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