Math Olympics!

8th Grade

100

Find the value of the expression:

3⁵

243

200

Evaluate the square root of 64/225.

8/15

300

Solve 2x-5+3x+8=18 for x.

x=3

400

Find the rate of change for the set of values provided.

x₁=1, y₁=217

x₂=2, y₂=434

x₃=3, y₃=651

x₄=4, y₄=868

m=217

500

Use the Pythagorean Theorem to find the unknown lengths.

If a=8 and b=15, c=_____.

c=17.

9th Grade A

100

Which type of function is represented by the equation

y=7x²+2?

Quadratic

200

Give the expanded form of the factored quadratic

(x-3)(x+5)

x²+2x-15

300

Give the factored form of the following expanded form quadratic.

x² +7x+10

(x+5)(x+2)

400

Solve the equation for x.

4x + 9 -7x =12

x=-1

500

Write an equation of the line in point slope form that passes through the given point and is parallel to the given line. (5, 1) and y=-7x-14

y-1=-7(x-5)

9th Grade B

100

Solve the system of equations.

y=4x+3 and y=-x-2

(-1,-1)

200

(3y-5)²

9y²-30y+25

300

(x-7)-(3x+8)

-2x-15

400

Solve the equation for all possible values of x.

|8x+6|=46

x=5, x=-6.5

500

Solve the system for x and y.

y=6x-11

-2x-3y=-7

(2, 1)

Random Facts

100

What countries made up the original Axis powers in World War II?

Germany, Italy, and Japan

200

What geometric shape is generally used for stop signs?

Octagon

300

What is "cynophobia"?

Fear of dogs

400

What ocean did Ferdinand Magellan name?

Pacific Ocean

500

The name of which African animal means "river horse"?

Hippopotamus