Jacob Levin's 8th Grade Math Finals Jeopardy

3 Types of Solutions(If one solution: solve for the variable)

100

Infinite, one, or no solution

3x + 5 = 3x - 5

No solution (If you got this wrong then you are sad)

200

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

One solution

300

Infinite, one, or no solution

7x + 6 = 3x - 2

x = -2

400

Infinite, one, or no solution

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

Infinite solutions

500

Infinite, one, or no solution:

7(3x - 5) + 8 = 9x + 3(3x + 2) - 8

One solution: x = 8 1/3

Pythagorean Theorem

100

What is the equation for the Pythagorean Theorem?

a² + b² = c²

200

Solve for "b": 6² + b² = 10²

b = 8

300

Solve for "a": a² + 12² = 13²

a = 5

400

What is the line across from the right angle of a right triangle called? (In the equation the line is always labeled as "c")

The hypotenuse

500

Solve for "c": 84² + 13² = c²

c = 85

System of Equations

100

Solve for y and x:

y = 5x

y - 3x + 24 = 30

x = 3

y = 15

200

Solve for y:

y = x + 3

3y + 2x - 7 = 12

y = 5

300

Solve for x:

x = -4y + 13

2x + 4y - 4 = 18

x = 9

400

Solve for x and y:

2x = 3y - 2

3y + 3x - 4 = 8

x = 2

y = 2

500

Solve for y:

-y = x - 1

3x - y + 4 = 11

(Tip: Get rid of the "-y" from the 1st equation first)

y = -1

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

Scientific Notation

100

Convert to scientific notation: 937,200,000

9.372 x 10⁸

200

Convert to standard notation: 3.26 x 10⁴

32,600

300

Answer in both Scientific and Standard Notation:

(7 x 10⁵) x (6 x 10⁸)

Scientific Notation: 4.2 x 10¹⁴

Standard Notation: 420,000,000,000,000

400

Answer in scientific notation: (57 x 10^-3) / (8 x 10^-5)

7.125 x 10²

500

Answer in standard notation:

(8.06 x 10⁴) + (5.8 x 10⁵)

660600

Linear vs Non-linear

100

If a graph doesn't have a straight lines, what kind of function is it?

Non-linear

200

If a function has a constant rate of change, what kind of function is it?

Linear

300

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

Linear

400

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

A table

500

What 2 things can make an equation non-linear? (Answer both of them)

The "x" is the denominator of a fraction or it has an exponent. (Or it has both)