© 2006 Doug Clarke© 2006 Doug Clarke
Drop That Bubble!!!Drop That Bubble!!!Drop That Bubble!!!Drop That Bubble!!!
Guess the missing
then drop that bubble!
Commutative Property
Which Property?3a+4=4+3a
movement
Associative Property
Which Property?(2a+5)+3=2a+(5+3)
( ) changed
Additive Identity
Which Property?10x+0 = 10x
Multiplicative Identity
Which Property?(20X)1 = 20x
Additive Inverse
-50a+50a = 0Which Property?
Multiplicative Inverse
(1/5) (5) = 1Which Property?
Reflexive Property
Which Property?
3x+2 = 3x+2
Symmetric Property
Which Property?
If 5+5=10, then 10 = 5+5
(If, then)(2 =)
Distributive Property
Which Property?
5 (a+4) = 5a +20
Transitive Property
Which Property?
If 4 = 2a and 2a = 5p, then 4=5p
(If, then 3 =)
Linear Function
Type of Function?Equation has no exponents or symbols.
Y= 3x +5
Substitution Property
Which Property?If (5 + x) = Z and x = 2 then (5+2) =z
Commutative Property Of
Multiplication
Which Property?(3+2x)5=5(3+2x)
Multiplication Property Of Equality
Which Property?If (x + 6) = 2 then 3(x+6) = 3(2)
QuadraticParabola
Function?The equation has an exponent of 2.
Y = 3x^2 - 6
Absolute Value
Function?The equation has bars.
Y = / 2x + 3/
Cubic Function
Function?3 Directions.Y = x^3+2
Exponential Function
Function?The equation has an exponent that is
a letter. (Hockey stick)Y = 3^x
Roots, Zeros, SolutionsX-intercepts
All where the graph intersects the x-axis(4 answers)
Factors
Roots, x-intercepts, zeros, & solutions areOpposites of ___________.
Y= kx
Write the equation for: If y varies Directly as x.
Y = k/x
Write the equation for: If y variesAs as y.
Y= kx/z
Write the equation for: If y varies directlyAs x and inversely as z.
y/xy
Formula for joint variation
Arithmetic Series and Sequence
Has a pattern of addition:
1st x / 2nd x = 1st y/2nd y
Proportion for Direct Variation
Geometric Series andSequence
Has a pattern of multiplication:
Where the graph touches the x axis.
Solutions for one graph are where?
Where they touch each other
Solutions for more than one graph areWhere?
Stat Edit Y=Plot 1 Zoom 9 Stat Calc
What are the steps for finding the Line or curve of Best Fit?
100%
Area under the curve is what %?
68%
Within 1 standard deviation is what %?
95%
Within 2 standard deviations is what %?
99.7%
Within 3 standard deviations is
What %?
(lower, upper,mean,s.d.)
To calculate % in an interval
With normalcdf:
Mean is 0S.D is 1
When calculating a probability with A z-score the mean is ____and the
Standard deviation is ____
Permutation
Order matters (Math PRB #2)
Combination
Order does not matter(PRB #3)
GCF
When factoring Polynomials, look
For the ____ 1st.
(5x+2)(5x-2)
Factor:25x^2 - 4
(3y-1)(9y^2+3y+1)
Factor:27y^3-1
(5x+4)(25x^2-20x+16)
Factor:125x^3+64
(7x+5)(7x-5)Factor:49x^2-25
Complex numbers
ImaginaryNumbers are also
…
Open< or > have ___ circles.
Equal signs=
When do graphsHave closed
Circles?
X=5X=-3
Solve by Factoring:
X^2-2x-15=0
(-2+ or- square Root of 10)/2
Solve using the Quadratic Formula:
2x^2+4x-3=0
2 imaginary or2 complex
3x^2-7x=-10Has how many
And what type ofsolutions?
Reflection acrossThe x axis with
A vertical Stretch of 2
Describe f(x)=x^2 could be
Transformed to F(x) =-2x^2.
Domain: all real’sRange: y or = -9Zero’s: -1 and 5
Y-int : (0,-5)E.B. As x app.
Pos. inf. Y app Pos. inf. As x app
Neg. if. Y appPos. inf.
GraphX^2-4x-5
Describe the Domain,range,
Zeros, y-int.End Behavior.
(h,k)The vertex
Represents whatTwo letters?
H.A: y=-3Domain: All reals
Range: y>-3
If f(x)=3^x-3.Determine the
HorizontalAsymptote,Domain, and
Range.
(Term)/(previousTerm)
Ratio (r) =
1)InterchangeX and y
2) Solve for y
To find inverseGiven anEquation:
Domain: All RealNumbers except-2; Range: All Real Numbers
Except 0;Asymptote:
X=-2Y=0
If f(x)=1/(x+2)Describe the
Domain, Range,& Asymptotes