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- 1. Numbers and Divisibility
- 2. Rational Numbers
- 3. Real numbers/fractions that can repeator terminate. Examples: 33, 1/3
- 4. Irrational Numbers
- 5. Real numbers/fractions that do not repeator terminate. Example: π
- 6. Integers
- 7. Positive or negative whole numbers. 0is also considered an integer. Example: 4, -2
- 8. Non-Integers
- 9. Positive or negative numbers that are infraction form. Ex: 25/7
- 10. Imaginary Numbers
- 11. Numbers that are not real, have an i inthem. Ex:
- 12. Divisible by 2
- 13. Even #’sEnd in 0,2,4,6 or 8
- 14. Divisible by 5
- 15. Ends in a Zero or Five
- 16. Divisible by 10
- 17. Ends in Zero
- 18. Divisible by 3
- 19. Sum digits togetherSum must be divisible by 3
- 20. Divisible by 9
- 21. Add digits togetherSum of the digits must bedivisible by 9
- 22. Divisible by 4
- 23. If the last two digits aredivisible by 4 than the wholenumber is
- 24. Divisible by 6
- 25. If its divisible by 2 and 3
- 26. Consecutive
- 27. • One right after another, the next possible one.
- 28. Distinct
- 29. • =Different
- 30. Factors
- 31. • Any group of numbers or variables that when multiplied give the original number/variable
- 32. Multiple
- 33. • The result of multiplying a number by an integer.• EX: Multiples of 4:…,-8,-4,0,4,8,12…
- 34. • Union• Combining sets without writing the repeats
- 35. • Intersection• The overlap of sets
- 36. Percent Increase or Decrease
- 37. current − original ×100% original
- 38. Exponent and Root Rules!
- 39. How to multiply two powers with same base?
- 40. a *a =a3 5 3+5 =a 8
- 41. How to divide two powers with the same base?
- 42. a /a =a =a5 3 5-3 2
- 43. Multiplying exponents
- 44. (a2)3= a2*3= a6
- 45. Zero as an exponent
- 46. a0=1ANYTHING TO THE ZERO POWER EQUALS 1
- 47. Exponent of 1
- 48. X =X 1Anything to the exponent of 1, is THAT number
- 49. Negative Exponents
- 50. a-1= 1/a
- 51. Simplifying Radicals with multiplication
- 52. Can be written as a b
- 53. Simplifying Radicals with division
- 54. aa/b b
- 55. Alternate form of square root
- 56. a = a1/2
- 57. Alternate form of cube root
- 58. 3 a = a 1/33 2 a = a 2/3 = ( a) 3 2
- 59. Graphing/ Writing Equations of Lines
- 60. Coordinate Plane
- 61. Y-axisQuadrant 2 Quadrant I X-axis Quadrant 4Quadrant 3 Origin
- 62. Slope Formula
- 63. y2 − y1 risem= = x2 − x1 run
- 64. Distance Formula
- 65. d = ( y2 − y1 ) + ( x2 − x1 ) 2 2
- 66. Midpoint Formula
- 67. x1 + x2 y1 + y2 = , ÷ 2 2
- 68. Vertical Lines
- 69. •Think vertebra to help with visual•Undefined Slope! (cannot walk upwalls)•Form x=#
- 70. Horizontal Lines
- 71. •Think horizon to help with visual•Slope = Zero (walking across leftto right there is no incline ordecline)•Form y=#
- 72. Slope-Intercept Form
- 73. y = mx + b
- 74. Parallel Lines
- 75. •Do not intersect•Have the same slopes•Symbol: ||
- 76. Perpendicular Lines
- 77. •Intersect at a right angle/90⁰•Have slopes that are opposite,reciprocals of each other (flip it andswitch it)•Symbol: ⊥
- 78. X-intercepts
- 79. •Also known as roots and zeros•Where the graph crosses the x-axis•Plug 0 in for y and solve for x•Answer: (#,0) as an ordered pair
- 80. y-intercepts
- 81. •Where the graph crosses the y-axis•Plug 0 in for x and solve for y•Answer: (0,#) as an ordered pair
- 82. Directly Proportional
- 83. y = kxAs x increases, y increases ORAs x decreases, y decreases
- 84. Inversely Proportional
- 85. k y= xAs x increases, y decreases ORAs x decreases, y increases
- 86. Function Notation and Variables
- 87. Function
- 88. • Equation where every input has exactly one output – For each x-value there is one y-value• F(x)=y – F(x)=mx + b • Plug in x to find F(x) or y
- 89. F(x)=2x+4 F(-3)
- 90. F(-3)=2(-3)+4 F(-3)=(-6)+4 F(-3)=-2
- 91. F(x)=4x+5 F(x)=25
- 92. 25=4x+525-5=4x 20=4x 4 X=5
- 93. F(x) + G(x)F of x added to G of x
- 94. • Add the two functions together
- 95. F(x) – G(x)F of x subtracted from G of x
- 96. • Subtract the two functions
- 97. F(G(x))F of G of x
- 98. • Plug the function of G(x) into the x-variables in the function F(x)
- 99. F(x) ● G(x)F of x multiplied by G of x
- 100. • Multiply the two functions together
- 101. F(x) / G(x)F of x divided by G of x
- 102. • Divide the two notations
- 103. Graph Shiftsf(x)
- 104. f(x) + 3
- 105. • The f(x) graph moves up 3 places
- 106. f(x) - 5
- 107. • The f(x) graph moves down 5 places f(x)
- 108. -f(x)
- 109. • The f(x) graph is reflected over x-axis
- 110. f(-x)
- 111. • The graph of f(x) is reflected over the y-axis
- 112. f(x + 2)
- 113. • The f(x) graph moves LEFT 2
- 114. f(x – 4)
- 115. • The f(x) graph moves RIGHT 4
- 116. Geometry
- 117. Sum of Interior Angles of a Triangle? B A C
- 118. m∠A + m∠B + m∠C = 180 0
- 119. Perimeter of Triangle
- 120. a + b + c = perimeter a b c
- 121. Exterior Angle Theorem
- 122. m∠A + m∠B = m∠D BA C D
- 123. Pythagorean Theorem
- 124. a +b = c 2 2 2 C=hypotenusea b
- 125. Area of a Triangle
- 126. Area Formula: ½ x base x height
- 127. 30⁰-60⁰-90⁰ Right Triangles
- 128. 60⁰ 2nn 30⁰ n 3
- 129. 45⁰-45⁰-90⁰ Right Triangles
- 130. 45⁰ n 2n 45⁰ n
- 131. Congruent Triangles
- 132. Scalene Triangle
- 133. Triangle with no equal sides.
- 134. Isosceles Triangle
- 135. Triangle with two equal sides. The corresponding angles are congruent as well.
- 136. Equilateral & Equiangular Triangle (If equilateral equiangular and vice versa)
- 137. Triangle that has three equalsides and three equal angles that are 60⁰.
- 138. Right Triangle
- 139. HypotenuseLeg Leg
- 140. Obtuse Triangle
- 141. Triangle that has one obtuse angle.
- 142. Acute Triangle
- 143. Triangle that has three acute angles.
- 144. Quadrilateral
- 145. Four sided Figure
- 146. Area of a Quadrilateral
- 147. A=base X height
- 148. Parallelogram
- 149. • Quadrilateral with the following properties: 1. Opposite sides are parallel 2. Opposite sides are congruent 3. Diagonals bisect each other 4. Opposite angles are congruent
- 150. Rectangle
- 151. • Parallelogram that has all of those properties plus the following: 1. All angles are 90⁰ 2. Diagonals are congruent
- 152. Rhombus
- 153. • Parallelogram that has all of those properties plus the following: 1. All sides are congruent 2. Diagonals are perpendicular 3. Diagonals bisect corner angles
- 154. Square
- 155. • Parallelogram that has all of those properties plus combines the properties of a rectangle and a rhombus
- 156. Sum of Interior Angles of a Polygon
- 157. (n − 2)180 0
- 158. Sum of Exterior Angles of a Polygon
- 159. 0360
- 160. C i R c Le S
- 161. Diameter of a circle
- 162. d=2rDiameter Radius
- 163. Circumference of a circle
- 164. C= 2 r RadiusCircumference
- 165. Area of a circle
- 166. A= r 2Area Radius
- 167. Central Angle
- 168. Central AngleO
- 169. Arc of a Circle
- 170. ArcO
- 171. Sector
- 172. • A sector is a region that is formed between two radii and the arc joining their end points
- 173. To find the area of a sector…..
- 174. r2360 Area of a Circle
- 175. Length of Arc
- 176. 2 r360 Circumference of a Circle
- 177. Sum of all angles in a circle
- 178. 360 o
- 179. Tangent to a Circle
- 180. • Tangent line is perpendicular to the radius at the point of tangency
- 181. Probability
- 182. Number of favorable outcomeTotal number of outcomes
- 183. Statistics Terms
- 184. Average=Mean
- 185. the sum of a set of valuesthe total number of values in the set
- 186. Median
- 187. Middle number in a set of numbers arranged in numerical order
- 188. Mean
- 189. average of the middle two numbers
- 190. Mode
- 191. Values that appear the most often in a set of numbers.
- 192. Acute Angles
- 193. • Angle whose measure is between 0 and 90 degrees.
- 194. Obtuse Angles
- 195. • Angle whose measure is between 90 and 180 degrees.
- 196. Complementary Angles
- 197. • Two angles that sum to 90 degrees.
- 198. Right Angle
- 199. An angle that is 90 degrees
- 200. Supplementary Angles
- 201. • Two angles that sum to 180 degrees.
- 202. Straight Angle
- 203. • An angle that’s measure is 180 degrees
- 204. Vertical Angles
- 205. • Angles that are opposite of each other when two lines cross• Vertical angles are congruent, so angles a and b are congruent in the image.
- 206. Transversal
- 207. • A line that crosses two lines (they do not have to be parallel) creating special types of angles
- 208. Corresponding Angles
- 209. • Angles in matching corners are corresponding.• In this image, a and e, b and f, d and h, d and g are corresponding.• If the transversal crosses two parallel lines, corresponding angles are then congruent.
- 210. Alternate Interior Angles
- 211. • The pairs of angles that are on opposite sides of the transversal but inside the other two lines are alternating interior angles• In this image, c and f, and d and e are alternating interior.• If the transversal crosses two parallel lines, AI angles are then congruent.
- 212. Alternate Exterior Angles
- 213. • The pairs of angles that are on opposite sides of the transversal but outside the other two lines are alternate exterior angles• In this image, a and h, and b and g are alternating interior.• If the transversal crosses two parallel lines, AE angles are then congruent.
- 214. Same Side Interior Angles
- 215. • Angles that are on the same side of the transversal and on the interior of the other two lines are same side interior.• In this image, 3 and 6, and 4 and 5 are SSI angles.• If the transversal crosses two parallel lines, SSI angles are supplementary.
- 216. Same Side Exterior Angles
- 217. • Angles that are on the same side of the transversal and on the exterior of the other two lines are same side exterior.• In this image, 2 and 7, and 1 and 8 are SSE angles.• If the transversal crosses two parallel lines, SSE angles are supplementary.

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