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146 Cards in this Set
- Front
- Back
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x^2+x^3
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x^2+x^3
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5y^2-y^2
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4y^2
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y^2+y^2
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2y^2
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(x^5)(y^4)
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(x^5)(y^4)
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(y^2)(y^3)
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Y^5
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Y^3/y^2
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y
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(x^3)^5
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x^15
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(5^2+2^3)^2
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(5^2+2^3)^2
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(√a^2+a^2)
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√2a^2
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(√a-b)
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does not equal √a-√b
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(3√4)+(2√4)
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5√4
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(√36*16)
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(√36)*(√16)
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(√25/4)
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(√25)/(√4)
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(4√2)*(2√12)
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4*2*(√2)*(√2)
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√75
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(√3*25) = (√3)*(√25)
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1/√3
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√3/3
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4th√x3
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x^3/4
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x^3/4
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4th√x3
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(x+y)^2
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x^2+2xy+y^2
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(x-y)^2
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x^2-2xy+y^2
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(x+y)(x-y)
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x^2-y^2
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x^2+2xy+y^2
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(x+y)^2
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x^2-2xy+y^2
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(x-y)^2
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x^2-y^2
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(x+y)(x-y)
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Line Segment
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A straight line between two points
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Parallel
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Lines that have the same slope and therefore never intersect
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Perpendicular
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Forming a 90˚ angle
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Intersect
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Cross
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Bisect
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Cut exactly in half
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Degrees in a line
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180˚
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Vertical Angles
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Pairs of equal angles formed by the intersection of two lines
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Y-Intercept
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(0,Y)
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X-Intercept
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(X,0)
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Slope
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(y2-y1)/(x2-x1)
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Verticle Lines (Slope)
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Undefined Slope
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Horizontal Lines (Slope)
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Zero Slope
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Perpendicular Lines (Slope)
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Negative Reciprocal Slope
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Parallel Lines (Slope)
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Equal Slopes
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Origin
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(0,0)
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Radius
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Distance from the center to any point on the circumference of a circle (half the diameter0
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Diameter
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Longest straight line that can be drawn in a circle the distance from one edge to another through the center
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Chord
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Any line inside a circle joining two points on the edge of the circle
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Sector
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A "slice" of the circle. An area of the circle between two radii
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Minor Arc
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An arc that is less than half of the circle
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Major Arc
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An arc that is greater than half of the circle
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Tangent
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Perpendicular to the radius. It touches the circle at only one point.
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Area (Circle)
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πr2
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Circumference
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2πr or πd
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Sectors (Formula)
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(Measure of Central Angle/360) = (Area of Sector/Total Area)
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Arc (Formula)
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(Measure of Central Angle/360) = (Length of Arc/Circumference of Circle)
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Area (Triangle)
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1/2bh
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Height (Triangle)
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Perpendicular to base. Does not have to be measure in the triangle. Every triangle has 3 heights and 3 bases.
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Sides (Triangle)
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Equal sides are across from equal angles. Largest side is across from largest angle.
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Angles (Triangle)
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Must total 180˚ inside. Equal angles are across from equal sides.
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Isosceles Triangle
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Triangle with 2 equal sides and 2 equal angles.
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Equilateral Triangle
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Triangle with all equal sides and 60˚ angles
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Right Triangle
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Triangle with a 90˚ angle
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Hypotenuse
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The side across from the right angle in a right triangle (therefore is the longest side)
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Third Side Rule (Triangle)
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The third side of any triangle must be between the sum and difference of the other two sides.
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Triangle in a Semicircle
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A right triangle
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Groups) Total =
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Group A + Group B + Neither - Both
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The maximum probability for any event is ___.
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1
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Probabilities are best expressed as ___.
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Fractions
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The probability of an event occurring is always the same as ___.
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P(A) = 1-P(not A)
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The probability of only A happening or only B happening is the same as ___.
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P(A or B) = P(A) + P(B)
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The probability of A happening and B happening is the same as ___.
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P(A and B) = P(A) x P(B)
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The probability of only A happening, only B happening, or both A and B happening is the same as ___.
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P(A only or B only or both A and B) = P(A) + P(B) + P(A and B)
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Median
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Middle number in a set of sequentially ordered numbers. Odd amount = middle number, Even amount = average of middle two
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In a set of consecutive numbers, the median will be ___.
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The average
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Mode
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The number that appears most often in a set of numbers.
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Range
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Difference between the greatest value in a set and the least.
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1/2 =
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50%, 0.5
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1/3 =
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approximately 33%, 0.33
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1/4 =
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25%, 0.25
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1/5 =
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20%, 0.2
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1/6 =
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approximately 17%, 0.17
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1/7 =
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approximately 14%, 0.14
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1/8 =
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12.5%, 0.125
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1/9 =
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approximately 11%, 0.11
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1/10 =
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10%, 0.10
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2^2
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4
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3^2
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9
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4^2
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16
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5^2
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25
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6^2
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36
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7^2
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49
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8^2
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64
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9^2
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81
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10^2
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100
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11^2
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121
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12^2
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144
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13^2
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169
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14^2
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196
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15^2
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225
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16^2
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256
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20^2
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400
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25^2
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625
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2^3
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8
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3^3
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27
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4^3
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64
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5^3
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125
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6^3
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216
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2^4
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16
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3^4
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81
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4^4
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256
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5^4
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625
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2^5
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32
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3^5
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243
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2^6
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64
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4
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2^2
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9
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3^2
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16
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4^2 or 2^4
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25
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5^2
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36
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6^2
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49
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7^2
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64
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8^2 or 4^3 or 2^6
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81
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9^2 or 3^4
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100
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10^2
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121
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11^2
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144
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12^2
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169
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13^2
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196
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14^2
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225
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15^2
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256
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16^2 or 4^4
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400
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20^2
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625
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25^2 or 5^4
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8
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2^3
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27
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3^3
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125
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5^3
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216
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6^3
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32
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2^5
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243
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3^5
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Common Prime Numbers (0,50)
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2,3,5,7,11,13,17,19,23,29,31,37,41,43,47
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π =
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approximately 3
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√2 =
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approximately 1.4
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√3 =
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approximately 1.7
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(Divisibility Rules) 2
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Last digit is even
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(Divisibility Rules) 3
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Sum is a multiple of 3
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(Divisibility Rules) 4
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Last two digits are divisible by 4
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(Divisibility Rules) 5
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Last digit is a 5 or 0
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(Divisibility Rules) 6
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Must work with rules for 2 and 3
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(Divisibility Rules) 7
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(Divisibility Rules) 8
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Last three digits are divisible by 8
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(Divisibility Rules) 9
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Sum is a multiple of 9
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(Divisibility Rules) 10
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Ends in 0
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(Divisibility Rules) 11
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Sum of units, hundreds, ten thousands,… minus the sum of tens, thousands, hundred thousands…must be a multiple of 11
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