Math Finals Jeopardy

3 Types of Solutions

100

Infinite, one, or no solution

3x + 5 = 3x - 5

No solution?

200

If the variables are different on each side of the equation, how many solutions does it have? Infinite, one, or no solutions?

One solution

300

Infinite, one, or no solution: 7x + 6 = 3x - 2

x = -2

400

Infinite, one, or no solution

9x + 7 - 3 - 5 + 4 = 8x + x + 3 - 1 + 4 - 2 

No solution

500

Infinite, one, or no solution: 

5x + 4x - x + 7 - 2 = 3x - 2x + 7x - 2x + 4x - 5x + 3x + 4 + 1

Infinite solutions

Pythagorean Theorem

100

What is the equation for the Pythagorean Theorem?

a² + b² = c²

200

6² + b² = 10²

b = 8

300

a² + 12² = 13²​​​​

a = 5

400

What is the line across from the right angle called? (It always equals "c" in the equation)

The hypotenuse

500

84² + 13² = c²

What is c = 85

System of Equations

100

Solve for y

y = x + 3

3y + 2x - 7 = 12

y = 5

200

Solve for y:

y = 5x

y - 3x + 24 = 30

y = 15

300

Solve for x:

x = 4y - 7

2x + 4y - 4 = 18

x = 5

400

Solve for y:

-y = x - 1

3x - y + 4 = 11

y = -1

(Remember to divide by negative 1 on both sides to get rid of the negative y)

Scientific Notation

100

937,200,000

9.372 x 10⁸

200

3.26 x 10⁴

32,600

300

7.9 x 10^-8

0.000000079

400

9.3726483 x 10⁴

93,726.483

Linear vs Non-Linear

100

If a graph doesn't have a straight line, what type of function is it?

Non-linear

200

If a function can be written in Slope-Intercept Form, what type of function is it?

Linear

300

What type of function needs to have a constant rate of change to be linear?

A table

400

If a function's equation was found to be NON-LINEAR, what could the variable have had on it to make it NON-LINEAR. (In this case the variable is an "x") 

The "x" could have been the denominator of a fraction or it could have had an exponent