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