Radicals and
Irrational Numbers
Irrational Numbers
what is the product of √5⋅√8
√40
What is another name for the mean of a data set
The average
Yes
What does √36-√16 equal
√36-√16=6-4
=2
What is the difference between Arithmetic and Geometric sequences
Arithmetic sequences change by addition or subtraction while Geometric sequences change by multiplication
Rational because it repeats
Why do most statistical questions use a sample instead of the entire population
Because it is impossible to gather data from the entire population
In the quadratic function f(x)=x2, what would y equal if x=3
9
What is the greatest common factor of
9x3y5 and 6xy5z3
3xy5
Is an=a1(r)n-1 the equation of a Arithmetic or a Geometric sequence
Geometric
Is √7 * √11 rational or irrational
√7 * √11=8.77496438739....
irrational
What is the minimum, maximum and range of the date set below
23,24,36,21,39,30,34,31,29,41,38
Minimum=21
Maximum=41
Range=20
The quadratic function y=10+8x2-2x written in standard form would be
y=8x2-2x+10
What are the zeros of
(x-7)(-x+5)+(x-7)(2x+1)
(x-7)(-x+5+2x+1)
=(x-7)(x+6)
x=7 x=-6
In a sequence, the first term is 5 and the common difference is 2. what is the 16th term
516=51+2(15)
516=5+30
516=35
What is the simplest radical form of √162
What precent of the data for a typical population would fall within 1 standard deviation of the mean
68%
What is the axis of symmetry of a quadratic function with zeros at x=-3 and x=15
x=6
Is 4(6x2+4x) a equivalent way to write 24x2+16x
Yes
Which ones are Arithmetic sequences
I. 3,30,57,84,111
II. 5,18,31,44,57
III. 6,-24,96,-384
I and II
Find all solutions to x2+6x-81=0 and express it in simplest radical form
x=-3±3√10
What is the median of the data set
10,8,4,6,3,11,13,6,9,2,4,14,10
8
x2+x-20-8x-13
=x2-8x-33
=(x+3)(x-11)
x=-3 x=11
What is the factored form of the polynomial
x3-3x2+6x
x(x2-3x+6)
What is a common ration of a geometric sequence
whose 1st term is three and third term is 363
11
3*11=33
33*11=363