AIG Math Masters - Final Round

Inequalities

100

Solve: x + 5 > 12

x>7. 

200

Solve: 3x - 4 <= 14. 

x<=6. 

300

Solve: -2x + 7 > 15

x<-4. 

400

A bowling alley charges a $6 shoe rental fee plus $4 per game. You can spend at most $30. Write an inequality to find the maximum number of games you can play.

6 + 4g <= 30

Exponents

100

Evaluate: 2⁴

16. 

200

Simplify: x³x⁵

x⁸.

300

Simplify: (3x²)³

27x⁶.

400

Simplify using only positive exponents:

(2x³)²/(4x⁸)

1/x².

General Knowledge

100

What is the name of the bottom number in a fraction?

The denominator. 

200

What is the name of an angle that measures more than 90° but less than 180°?

An obtuse angle. 

300

What mathematical term describes two numbers whose product is 1?

Reciprocals. 

400

What is the name of a number that cannot be written as a ratio of two integers?

An irrational number.