Are You Smarter Than An 8th Grader? Math Edition

Irrational Numbers

100

What makes a number irrational?

Can't be stopped; can't be put into a fraction; doesn't end

200

Which of these is an irrational number?

sqrt(2)

sqrt (4)

0.75

1/3

Square Root of 2

Exponent Rules

100

Any number to the zero power is always...

1

300

What is the rule for dividing exponents when the numbers have the same base?

take the exponent value in the numerator (the top exponent) and subtract the exponent value of the denominator (the bottom exponent).

400

Simplify (x⁵)^-2=

1/x¹⁰

Multi-Step Equations

400

Sarah has "x" hair ties. Julie has two times the amount of hair ties as Sarah plus one more. If they have 16 hair ties altogether, how many hair ties does Sarah have?

Sarah: x hair ties      Julie: 2x + 1 hair ties

Equation: x + (2x+1) = 16

x+ 2x+1 = 16   ->    3x+1 = 16   ->  3x=15

x = 5

Equations

500

In 14 years, Johnny will be three times as old as he is now. How old is Johnny now?

x+14=3x

7=x

8th Grade Math 2

200

Combine like terms

14-2x+3x-1

x+13

500

Solve

4(x-3)=4x+2

Undefined because: -12=2