© 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