© 2006 Doug Clarke 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 = 0 Which Property?

Multiplicative Inverse (1/5) (5) = 1 Which 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)

Quadratic Parabola 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, Solutions X-intercepts All where the graph intersects the x-axis (4 answers)

Factors Roots, x-intercepts, zeros, & solutions are Opposites of ___________.

Y= kx Write the equation for: If y varies Directly as x.

Y = k/x Write the equation for: If y varies As as y.

Y= kx/z Write the equation for: If y varies directly As x and inversely as z.

y/xy Formula for joint variation

Arithmetic Series and Sequence Has a pattern of addition:

1 st x / 2 nd x = 1 st y/2 nd y Proportion for Direct Variation

Geometric Series and Sequence 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 are Where?

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 0 S.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 ____ 1 st.

(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 Imaginary Numbers are also …

Open have ___ circles.

Equal signs = When do graphs Have closed Circles?

X=5 X=-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 or 2 complex 3x^2-7x=-10 Has how many And what type of solutions?

Reflection across The x axis with A vertical Stretch of 2 Describe f(x)= x^2 could be Transformed to F(x) =-2x^2.

Domain: all real’s Range: y or = -9 Zero’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 app Pos. inf. Graph X^2-4x-5 Describe the Domain,range, Zeros, y-int. End Behavior.

(h,k) The vertex Represents what Two letters?

H.A: y=-3 Domain: All reals Range: y>-3 If f(x)=3^x-3. Determine the Horizontal Asymptote, Domain, and Range.

(Term)/(previous Term) Ratio (r) =

1)Interchange X and y 2) Solve for y To find inverse Given an Equation:

Domain: All Real Numbers except -2; Range: All Real Numbers Except 0; Asymptote: X=-2 Y=0 If f(x)=1/(x+2) Describe the Domain, Range, & Asymptotes