Irrational Numbers
What makes a number irrational?
Can't be stopped; can't be put into a fraction; doesn't end
Any number to the zero power is always...
1
Which of these is an irrational number?
sqrt(2)
sqrt (4)
0.75
1/3
Square Root of 2
Combine like terms
14-2x+3x-1
x+13
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).
Simplify (x5)-2=
1/x10
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
In 14 years, Johnny will be three times as old as he is now. How old is Johnny now?
x+14=3x
7=x
Solve
4(x-3)=4x+2
Undefined because: -12=2