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- 1. Pre-Algebra 1/30/2015 Mental Math Speed Review With Answers 1
- 2. Created By: Anna Wells Anna.wells@sausd.us Mendez Fundamental Intermediate School Santa Ana Unified School District Santa Ana, California Licensed under Creative Commons 1/30/2015 2
- 3. -2- 4 1/30/2015 3
- 4. -6 1/30/2015 4
- 5. -2 - 6 1/30/2015 5
- 6. -8 1/30/2015 6
- 7. -3 - 6 1/30/2015 7
- 8. -9 1/30/2015 8
- 9. - 4 + - 9 1/30/2015 9
- 10. -13 1/30/2015 10
- 11. -8 + - 2 1/30/2015 11
- 12. -10 1/30/2015 12
- 13. -2(6) 1/30/2015 13
- 14. -12 1/30/2015 14
- 15. -2 + -6 1/30/2015 15
- 16. -8 1/30/2015 16
- 17. -5(-3) 1/30/2015 17
- 18. 15 1/30/2015 18
- 19. -5 - 3 1/30/2015 19
- 20. -8 1/30/2015 20
- 21. -5 + 3 1/30/2015 21
- 22. -2 1/30/2015 22
- 23. -5 – 15 - 20 1/30/2015 23
- 24. -40 1/30/2015 24
- 25. -10 + -10 -10 1/30/2015 25
- 26. -30 1/30/2015 26
- 27. 50 – 25 – 25 1/30/2015 27
- 28. 0 1/30/2015 28
- 29. 30 – 20 – 5 1/30/2015 29
- 30. 5 1/30/2015 30
- 31. 1/30/2015 31
- 32. 1/30/2015 32
- 33. 1/30/2015 33
- 34. 12 1/30/2015 34
- 35. 1/30/2015 35
- 36. 2 1/30/2015 36
- 37. 122 1/30/2015 37
- 38. 144 1/30/2015 38
- 39. 121 1/30/2015 39
- 40. 12 1/30/2015 40
- 41. 120 1/30/2015 41
- 42. 1 1/30/2015 42
- 43. Name the Property 2 + (3 + 4) = (2 + 3) + 4 Commutative Associative Distributive Identity Inverse 1/30/2015 43
- 44. Assoc. 1/30/2015 44 Name the Property 2 + (3 + 4) = (2 + 3) + 4
- 45. Name the Property 5 + (-5) = 0 Commutative Associative Distributive Identity Inverse 1/30/2015 45
- 46. Inverse 1/30/2015 46 Name the Property 5 + (-5) = 0
- 47. Name the Property Commutative Associative Distributive Identity Inverse 1/30/2015 47
- 48. Inverse 1/30/2015 48
- 49. Name the Property 2 + (3 + 4) = 2 + (4 + 3) Commutative Associative Distributive Identity Inverse 1/30/2015 49
- 50. Commut. 1/30/2015 50 Name the Property 2 + (3 + 4) = 2 + (4 + 3)
- 51. Name the Property 1(p) = p Commutative Associative Distributive Identity Inverse 1/30/2015 51
- 52. Identity 1/30/2015 52 Name the Property 1(p) = p
- 53. Name the Property 2(3a + 4b) = 6a + 8b Commutative Associative Distributive Identity Inverse 1/30/2015 53
- 54. Distribut. 1/30/2015 54 Name the Property 2(3a + 4b) = 6a + 8b
- 55. Name the Property a + (b + c) = (a + b) + c Commutative Associative Distributive Identity Inverse 1/30/2015 55
- 56. Assoc. 1/30/2015 56 Name the Property a + (b + c) = (a + b) + c
- 57. Name the Property (a + b) + c = c + (a + b) Commutative Associative Distributive Identity Inverse 1/30/2015 57
- 58. Commut 1/30/2015 58 Name the Property (a + b) + c = c + (a + b)
- 59. Name the Property 5(a + 10) = 5a + 50 Commutative Associative Distributive Identity Inverse 1/30/2015 59
- 60. Distrib. 1/30/2015 60 Name the Property 5(a + 10) = 5a + 50
- 61. 1/30/2015 61
- 62. 1/30/2015 62
- 63. 1/30/2015 63
- 64. 7 1/30/2015 64
- 65. 1/30/2015 65
- 66. 1 1/30/2015 66
- 67. 1/30/2015 67
- 68. 0 1/30/2015 68
- 69. AREA = L x W What is the area in the model above? What is the perimeter in the model above? 1/30/2015 69
- 70. Area = (4 x 5) = 20 units2 Perimeter = (4 + 4 + 5 + 5) = 18 units 1/30/2015 70 4 5 4 5
- 71. What is the area? What is the perimeter? 6 10 12 1/30/2015 71
- 72. Area = (6x10)÷2 = 30units2 Perimeter = 28 units = 6+12+10 1/30/2015 72 6 10 12
- 73. What is the area? What is the perimeter? 3 4 5 1/30/2015 73
- 74. Area = 3 x 4 ÷2 = 6 units2 Perimeter = 12 units = 3 + 4 + 5 1/30/2015 74 3 4 5
- 75. This is a square. Each side measures 6 inches. What is the area? What is the perimeter? 6 inches 1/30/2015 75
- 76. Area = 36 in2 Perimeter = 24 in = 6 + 6 + 6 + 6 1/30/2015 76 6 inchesThis is a square.
- 77. This is a rectangle. What is the area? What is the perimeter? 2 inches 3 inches 1/30/2015 77
- 78. Area = 3 x 2 =6 in2 Perimeter = 10 in 3+3+2+2 1/30/2015 78 2 inches 3 inches
- 79. Which of these numbers is irrational? 65 15 144 16 81 7.777… 9 15 -64 3 15 16 1/30/2015 79
- 80. Which of these numbers is irrational? 65 15 144 16 81 7.777… 9 15 -64 3 15 16 1/30/2015 80
- 81. Which of these numbers is irrational? 49 35 100 49 121 1.2666… 7 3 -35 0 28 1/30/2015 81
- 82. Which of these numbers is irrational? 49 35 100 49 121 1.2666… 7 3 -35 0 28 1/30/2015 82
- 83. Which of these numbers is irrational? 4 71 19 90 169 0.875 5 4 -5 14 100 1/30/2015 83
- 84. Which of these numbers is irrational? 4 71 19 90 169 0.875 5 4 -5 14 100 1/30/2015 84
- 85. 53 xx 1/30/2015 85
- 86. 1/30/2015 86
- 87. 28 xx 1/30/2015 87
- 88. 1/30/2015 88
- 89. 33 xx 1/30/2015 89
- 90. 1/30/2015 1 90 33 xx
- 91. 1/30/2015 91
- 92. 1/30/2015 92
- 93. 188 5 x Step 1: To solve this equation, what do you do first? Step 2: What do you next? 1/30/2015 93
- 94. 1/30/2015 Subtract 8 from both sides. Next, multiply both sides by -5. 94 188 5 x
- 95. 245 3 x Step 1: To solve this equation, what do you do first? Step 2: What do you next? 1/30/2015 95
- 96. 1/30/2015 Add 5 to both sides. Next, multiply both sides by 3. 96 245 3 x
- 97. Step 1: To solve this equation, what do you do first? 24 4 3 x 1/30/2015 97
- 98. 1/30/2015 Multiply both sides by the reciprocal ( ). 98 24 4 3 x
- 99. Step 1: To solve this equation, what do you do first? 24 11 6 x 1/30/2015 99
- 100. 1/30/2015 Multiply both sides by the reciprocal ( ). 100 24 11 6 x
- 101. Step 1: To solve this equation, what do you do first? Step 2: What do you do next? 324 5 8 x 1/30/2015 101
- 102. 1/30/2015 First, subtract 4 from each side. Next, multiply both sides by the reciprocal ( ). 102 324 5 8 x
- 103. 2 3 5 5 = 1/30/2015 103
- 104. 1/30/2015 5 104 2 3 5 5
- 105. 2 4 7 7 = 1/30/2015 105
- 106. 1/30/2015 49 106 2 4 7 7
- 107. 6 6 4 4 = 1/30/2015 107
- 108. 1/30/2015 108 6 6 4 4 = 1
- 109. 4 7 10 10 = 1/30/2015 109
- 110. = 1/30/2015 110 4 7 10 10 = 103 = 1000
- 111. 32 Is between _____ and _____ 1/30/2015 111
- 112. 1/30/2015 5 and 6 112 32 Is between _____ and _____
- 113. 4 m Can also be written as ____ 1/30/2015 113
- 114. 1/30/2015 “ONE over M to the 4th Power” 4 1 m 114 4 m Can also be written as ____
- 115. Can also be written as ____X-5 1/30/2015 115
- 116. 1/30/2015 “ONE over x to the 5th Power” 5 1 x 116 Can also be written as ____X-5
- 117. Can also be written as ____ y-2 1/30/2015 117
- 118. 1/30/2015 “ONE over Y to the 2nd Power or “ONE over Y squared” 2 1 y 118 Can also be written as ____y-2
- 119. 1/30/2015 119
- 120. 1/30/2015 120
- 121. 1/30/2015 121
- 122. 1/30/2015 19 122
- 123. 1/30/2015 123
- 124. 1/30/2015 19 124
- 125. 1/30/2015 125
- 126. 1/30/2015 0 126
- 127. How do you get the slope? What is the slope of the given line? 1/30/2015 127
- 128. How do you get the slope? Look at the points. Write a fraction that shows: The change in Y over the change in X. What is the slope of the given line? 3 over 4, 3/4 1/30/2015 128
- 129. How do you get the slope? What is the slope of the given line? 1/30/2015 129
- 130. 1/30/2015 How do you get the slope? Look at the points. Write a fraction that shows: The change in Y over the change in X. What is the slope of the given line? 1 over 2, 1/2 130
- 131. How do you get the slope? What is the slope of the given line? Does it matter which points you use? 1/30/2015 131
- 132. 1/30/2015 How do you get the slope? Look at the points. Write a fraction that shows: The change in Y over the change in X. What is the slope of the given line? *DOWN* 3 over 3, 3/3 = -1 Does it matter which points you use? NO, you get the same slope (after you simplify the fraction) no matter which points you use! 132
- 133. How do you find the slope of the line that passes through any two points? For example, how do you find the slope of a line that passes through (3,5) and (-1,-2)? 1/30/2015 133
- 134. 1/30/2015 You plot the two points on a graph, and write a fraction that shows: The change in Y over the change in X 134
- 135. How do you find the slope of the line that passes through any two points? For example, how do you find the slope of a line that passes through (-3, 16) and (-4,-2)? 1/30/2015 135
- 136. 1/30/2015 You plot the two points on a graph, and write a fraction that shows: The change in Y over the change in X 136
- 137. A square has an area of 49 feet2. How long is each side? 1/30/2015 137
- 138. 1/30/2015 7 feet 138 A square has an area of 49 feet2. How long is each side?
- 139. A square has an area of 64 square feet. How long is each side? 1/30/2015 139
- 140. 1/30/2015 140 8 feet A square has an area of 64 square feet. How long is each side?
- 141. A square has an area of 169 square feet. How long is each side? 1/30/2015 141
- 142. 1/30/2015 142 13 feet A square has an area of 169 square feet. How long is each side?
- 143. A square has an area of 30 square feet. About how long is each side? 1/30/2015 143
- 144. 1/30/2015 144 Between 5 and 6 feet A square has an area of 30 square feet. About how long is each side?
- 145. A square has an area of 55 square feet. About how long is each side? 1/30/2015 145
- 146. 1/30/2015 146 Between 7 and 8 feet
- 147. 1/30/2015 147
- 148. What is the slope? y = -4x + 7 1/30/2015 148
- 149. What is the slope? -4 y = -4x + 7 1/30/2015 149
- 150. What is the slope? y = -x + 7 1/30/2015 150
- 151. What is the slope? -1 y = -1x + 7 1/30/2015 151
- 152. What is the slope? y = 5 1/30/2015 152
- 153. What is the slope? 0 y = 5 y = 0x + 5 1/30/2015 153
- 154. How do you find the length of x? 1/30/2015 154
- 155. How do you find the length of x? 1/30/2015 155 a2 + b2 = c2
- 156. How do you find the length of x? 1/30/2015 156
- 157. How do you find the length of x? 1/30/2015 157 c2 - a2 = b2
- 158. 1. A right triangle has legs that are 6 cm and 8 cm long. How do you find the length of the hypotenuse? 2. In the problem above, if you found the length of the hypotenuse but it was way too big (it doesn’t make sense) you probably forgot to do the last calculation. What is the last calculation in an a2 + b2 = c2 problem? 1/30/2015 158
- 159. 1. A right triangle has legs that are 6 cm and 8 cm long. How do you find the length of the hypotenuse? 2. In the problem above, if you found the length of the hypotenuse but it was way too big (it doesn’t make sense) you probably forgot to do the last calculation. What is the last calculation in an a2 + b2 = c2 problem? Take the square root of both sides! 1/30/2015 159 a2 + b2 = c2 2 225 c c15
- 160. 6 m 5 m How do you find the length of x? 1/30/2015 160
- 161. 6 m 5 m How do you find the length of x? 1/30/2015 161 3 c2 - a2 = b2 52 - 32 = b2 Notice 3 not 6
- 162. When would you use formula ? 1/30/2015 162
- 163. When would you use formula ? 1/30/2015 163 To find the hypotenuse of a right triangle, or to find c.
- 164. Distribute 3(a + b + c) 1/30/2015 164
- 165. Distribute 3(a + b + c) 3a + 3b + 3c 1/30/2015 165
- 166. Distribute 4(a -x) 1/30/2015 166
- 167. Distribute 4(a – x) 4a – 4x 1/30/2015 167
- 168. Distribute 2(3f + 4g) 1/30/2015 168
- 169. Distribute 2(3f + 4g) 6f + 8g 1/30/2015 169
- 170. Distribute -2(a + b) 1/30/2015 170
- 171. Distribute -2(a + b) -2a + -2b or -2a – 2b 1/30/2015 171
- 172. Distribute -3(x – y – z) 1/30/2015 172
- 173. Distribute -3(x – y – z) -3x - -3y - -3z or -3x + 3y + 3z 1/30/2015 173
- 174. 1/30/2015 174
- 175. Simplify: 24x14 ÷ 12x2 1/30/2015 175
- 176. Simplify: 24x14 ÷ 12x2 1/30/2015 176 2x12
- 177. Simplify: (ab)-4(ab) = 1/30/2015 177
- 178. Simplify: (ab)-4(ab)1 = 1/30/2015 178 (ab)(-4+1) = (ab)-3
- 179. How do you simplify?: 1/30/2015 179
- 180. How do you simplify?: 1/30/2015 180 )56( 88 1 88 82 = 64
- 181. True or False: Slope can be described as steepness. 1/30/2015 181
- 182. 1/30/2015 True 182
- 183. What is wrong with this sentence: Slope is the ratio (fraction) of the change in x to the change in y. 1/30/2015 183
- 184. 1/30/2015 What is wrong with this sentence: Slope is the ratio (fraction) of the change in x to the change in y. It is backwards, slope is the ratio of the change in Y to X, not X to Y. 21 21 xx yy Notice y’s in the numerator, x’s in the denominator! 184
- 185. How do you calculate the SLOPE of the hypotenuse? How do you calculate the LENGTH of the hypotenuse? 1/30/2015 185
- 186. How do you calculate the SLOPE of the hypotenuse? You write a FRACTION that shows: the CHANGE IN Y over the CHANGE IN X. How do you calculate the LENGTH of the hypotenuse? Use a2 + b2 = c2 (because it is a right triangle). 1/30/2015 186
- 187. How do you calculate the SLOPE of the hypotenuse? How do you calculate the LENGTH of the hypotenuse? 1/30/2015 187
- 188. 1/30/2015 188 How do you calculate the SLOPE of the hypotenuse? You write a FRACTION that shows: the CHANGE IN Y over the CHANGE IN X. How do you calculate the LENGTH of the hypotenuse? Use a2 + b2 = c2 (because it is a right triangle).
- 189. What is the unit rate shown in this chart? 1/30/2015 189
- 190. What is the unit rate shown in this chart? 1/30/2015 15 Find the rate for ONE (1) hour! = 15 miles per hour 30 2 Or find the slope, change in Y over change in X (30/2) and simplify it (15/1), = 15 miles per hour 190
- 191. What is the slope shown in this chart? 1/30/2015 191
- 192. What is the unit rate shown in this chart? 1/30/2015 15 Find the rate for ONE (1) hour! Slope = 15/1 = 15 30 2 Or find the slope, change in Y over change in X (30/2) and simplify it (15/1), Slope = 15 192
- 193. $- $200 $400 $600 $800 $1,000 $1,200 $1,400 $1,600 $1,800 $2,000 0 2 4 6 8 10 12 14 Dollars Months What is the unit rate shown in this chart? 1/30/2015 193
- 194. $- $200 $400 $600 $800 $1,000 $1,200 $1,400 $1,600 $1,800 $2,000 0 2 4 6 8 10 12 14 Dollars Months What is the unit rate shown in this chart? 1/30/2015 194 $150 per month
- 195. What step(s) would you take to solve this problem? If Mary types 240 words in 6 minutes, how long will it take her to type 440 words? 1/30/2015 195
- 196. What step(s) would you take to solve this problem? If Mary types 240 words in 6 minutes, how long will it take her to type 440 words? Set up a proportion, then cross multiply (butterfly) 240 words 440 words ---------- = ------------- 6 minutes x minutes 1/30/2015 196
- 197. Convert 6/7 into a decimal or percent. What is the first step? 1/30/2015 197
- 198. Convert 6/7 into a decimal or percent. Long Division!!! 1/30/2015 198
- 199. Convert 152/7 into a decimal or percent. What is the first step? 1/30/2015 199
- 200. Convert 152/7 into a decimal or percent. What is the first step? Long division, 2 divided by 7. 1/30/2015 200
- 201. Convert 43/8 into a decimal or percent. What is the first step? 1/30/2015 201
- 202. Convert 43/8 into a decimal or percent. What is the first step? Long division, 3 divided by 8. 1/30/2015 202
- 203. Convert 62/9 into a decimal or percent. What is the first step? 1/30/2015 203
- 204. Convert 62/9 into a decimal or percent. What is the first step? Long Division, 2 divided by 9. 1/30/2015 204
- 205. 1/30/2015 205
- 206. 1/30/2015 206
- 207. 1/30/2015 Read this decimal number: 0.56 Convert 0.56 into a fraction. What are the two steps? 207
- 208. 1/30/2015 0.56 Fifty-six hundredths. Convert 0.56 into a fraction. What are the two steps? Write the 56 over 100 (56/100) then simplify. 208
- 209. 1/30/2015 Read this number: 0.375 Convert 0.375 into a fraction. What are the two steps? 209
- 210. 1/30/2015 0.375 Three hundred seventy- Five thousandths. Convert 0.375 into a fraction. What are the two steps? Write 375 over 1000 (375/1000), then simplify. 210
- 211. 1/30/2015 Convert 3.4 into a mixed number. What are the two steps? 211
- 212. 1/30/2015 Convert 3.4 into a mixed number. What are the two steps? 212 Write 4 over 10 (4/10), then simplify (2/5), then write the 3 alongside the fraction: 5 2 3
- 213. 1/30/2015 How do you solve this problem? “What is 7/8 of 3/4?” 213
- 214. 1/30/2015 How do you solve this problem? “What is 7/8 of 3/4?” Multiply them together! When used with fractions or percents, “of” means multiply! 214
- 215. 1/30/2015 How do you solve this problem? “What is two-thirds of five eighths?” 215
- 216. 1/30/2015 How do you solve this problem? “What is two-thirds of five eighths?” Multiply them together! When used with fractions or percents, “of” means multiply! 216
- 217. 1/30/2015 How do you solve this problem? “What is six-fifths of nine-tenths?” 217
- 218. 1/30/2015 How do you solve this problem? “What is six-fifths of nine-tenths?” Multiply them together! When used with fractions or percents, “of” means multiply! 218
- 219. 1/30/2015 What does “OF” represent or indicate in a fraction (or percent) word problem? 219
- 220. 1/30/2015 What does “OF” represent or indicate in a fraction (or percent) word problem? Multiply! 220
- 221. 1/30/2015 How do you solve this problem? “What is 40% of 350?” 221
- 222. 1/30/2015 How do you solve this problem? “What is 40% of 350?” Multiply .40 times 350 Or Multiply 40/100 times 350 222
- 223. 1/30/2015 2 5 6 How do you solve? 223
- 224. 1/30/2015 2 5 6 How do you solve? 224 Change 6 to improper fraction then pre-simplify, then multiply across. 1 6
- 225. 1/30/2015 225 6 2 1 4 How do you solve?
- 226. 1/30/2015 226 6 2 1 4 How do you solve? Change BOTH to improper fractions, then pre-simplify, then multiply.
- 227. 1/30/2015 227 4 3 28 How do you solve?
- 228. 1/30/2015 228 4 3 28 How do you solve? Change BOTH to improper fractions, then pre-simplify, then multiply.
- 229. 1/30/2015 229 2 1 6 3 2 3 How do you solve?
- 230. 1/30/2015 230 2 1 6 3 2 3 How do you solve? Change BOTH to improper fractions, then pre-simplify, then multiply.
- 231. 1/30/2015 5 students work 6 hours on a project. How many person- hours is this? 231
- 232. 1/30/2015 30 person -hours 232
- 233. 1/30/2015 10 students work 5 hours at the carwash. How many person- hours is this? 233
- 234. 1/30/2015 50 hours 234
- 235. 1/30/2015 It took the contractor 33 person-hours to paint the house. There were 3 workers on the job. How long did the job take? Include units with your answer. 235
- 236. 1/30/2015 11 hours 236
- 237. 1/30/2015 237 What is the equation for this set of points? Choose one: y = x2 y = -x2 y = x3 y = -x3
- 238. 1/30/2015 238 y = x2
- 239. 1/30/2015 239 What is the equation for this set of points? Choose one: y = x2 y = -x2 y = x3 y = -x3
- 240. 1/30/2015 240 y = -x2
- 241. 1/30/2015 241 What is the equation for this set of points? Choose one: y = x2 y = -x2 y = x3 y = -x3
- 242. 1/30/2015 242 y = x3
- 243. 1/30/2015 243 What is the equation for this set of points? Choose one: y = x2 y = -x2 y = x3 y = -x3
- 244. 1/30/2015 244 y = -x3

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