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### Sat index cards

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