Pre algebra mental math speed review with answers

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Pre algebra mental math speed review with answers

  1. 1. Pre-Algebra 1/30/2015 Mental Math Speed Review With Answers 1
  2. 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. 3. -2- 4 1/30/2015 3
  4. 4. -6 1/30/2015 4
  5. 5. -2 - 6 1/30/2015 5
  6. 6. -8 1/30/2015 6
  7. 7. -3 - 6 1/30/2015 7
  8. 8. -9 1/30/2015 8
  9. 9. - 4 + - 9 1/30/2015 9
  10. 10. -13 1/30/2015 10
  11. 11. -8 + - 2 1/30/2015 11
  12. 12. -10 1/30/2015 12
  13. 13. -2(6) 1/30/2015 13
  14. 14. -12 1/30/2015 14
  15. 15. -2 + -6 1/30/2015 15
  16. 16. -8 1/30/2015 16
  17. 17. -5(-3) 1/30/2015 17
  18. 18. 15 1/30/2015 18
  19. 19. -5 - 3 1/30/2015 19
  20. 20. -8 1/30/2015 20
  21. 21. -5 + 3 1/30/2015 21
  22. 22. -2 1/30/2015 22
  23. 23. -5 – 15 - 20 1/30/2015 23
  24. 24. -40 1/30/2015 24
  25. 25. -10 + -10 -10 1/30/2015 25
  26. 26. -30 1/30/2015 26
  27. 27. 50 – 25 – 25 1/30/2015 27
  28. 28. 0 1/30/2015 28
  29. 29. 30 – 20 – 5 1/30/2015 29
  30. 30. 5 1/30/2015 30
  31. 31. 1/30/2015 31
  32. 32. 1/30/2015 32
  33. 33. 1/30/2015 33
  34. 34. 12 1/30/2015 34
  35. 35. 1/30/2015 35
  36. 36. 2 1/30/2015 36
  37. 37. 122 1/30/2015 37
  38. 38. 144 1/30/2015 38
  39. 39. 121 1/30/2015 39
  40. 40. 12 1/30/2015 40
  41. 41. 120 1/30/2015 41
  42. 42. 1 1/30/2015 42
  43. 43. Name the Property 2 + (3 + 4) = (2 + 3) + 4 Commutative Associative Distributive Identity Inverse 1/30/2015 43
  44. 44. Assoc. 1/30/2015 44 Name the Property 2 + (3 + 4) = (2 + 3) + 4
  45. 45. Name the Property 5 + (-5) = 0 Commutative Associative Distributive Identity Inverse 1/30/2015 45
  46. 46. Inverse 1/30/2015 46 Name the Property 5 + (-5) = 0
  47. 47. Name the Property Commutative Associative Distributive Identity Inverse 1/30/2015 47
  48. 48. Inverse 1/30/2015 48
  49. 49. Name the Property 2 + (3 + 4) = 2 + (4 + 3) Commutative Associative Distributive Identity Inverse 1/30/2015 49
  50. 50. Commut. 1/30/2015 50 Name the Property 2 + (3 + 4) = 2 + (4 + 3)
  51. 51. Name the Property 1(p) = p Commutative Associative Distributive Identity Inverse 1/30/2015 51
  52. 52. Identity 1/30/2015 52 Name the Property 1(p) = p
  53. 53. Name the Property 2(3a + 4b) = 6a + 8b Commutative Associative Distributive Identity Inverse 1/30/2015 53
  54. 54. Distribut. 1/30/2015 54 Name the Property 2(3a + 4b) = 6a + 8b
  55. 55. Name the Property a + (b + c) = (a + b) + c Commutative Associative Distributive Identity Inverse 1/30/2015 55
  56. 56. Assoc. 1/30/2015 56 Name the Property a + (b + c) = (a + b) + c
  57. 57. Name the Property (a + b) + c = c + (a + b) Commutative Associative Distributive Identity Inverse 1/30/2015 57
  58. 58. Commut 1/30/2015 58 Name the Property (a + b) + c = c + (a + b)
  59. 59. Name the Property 5(a + 10) = 5a + 50 Commutative Associative Distributive Identity Inverse 1/30/2015 59
  60. 60. Distrib. 1/30/2015 60 Name the Property 5(a + 10) = 5a + 50
  61. 61. 1/30/2015 61
  62. 62. 1/30/2015 62
  63. 63. 1/30/2015 63
  64. 64. 7 1/30/2015 64
  65. 65. 1/30/2015 65
  66. 66. 1 1/30/2015 66
  67. 67. 1/30/2015 67
  68. 68. 0 1/30/2015 68
  69. 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. 70. Area = (4 x 5) = 20 units2 Perimeter = (4 + 4 + 5 + 5) = 18 units 1/30/2015 70 4 5 4 5
  71. 71. What is the area? What is the perimeter? 6 10 12 1/30/2015 71
  72. 72. Area = (6x10)÷2 = 30units2 Perimeter = 28 units = 6+12+10 1/30/2015 72 6 10 12
  73. 73. What is the area? What is the perimeter? 3 4 5 1/30/2015 73
  74. 74. Area = 3 x 4 ÷2 = 6 units2 Perimeter = 12 units = 3 + 4 + 5 1/30/2015 74 3 4 5
  75. 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. 76. Area = 36 in2 Perimeter = 24 in = 6 + 6 + 6 + 6 1/30/2015 76 6 inchesThis is a square.
  77. 77. This is a rectangle. What is the area? What is the perimeter? 2 inches 3 inches 1/30/2015 77
  78. 78. Area = 3 x 2 =6 in2 Perimeter = 10 in 3+3+2+2 1/30/2015 78 2 inches 3 inches
  79. 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. 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. 81. Which of these numbers is irrational? 49 35 100 49 121 1.2666… 7 3 -35 0 28  1/30/2015 81
  82. 82. Which of these numbers is irrational? 49 35 100 49 121 1.2666… 7 3 -35 0 28  1/30/2015 82
  83. 83. Which of these numbers is irrational? 4 71 19 90 169 0.875 5 4 -5 14 100 1/30/2015 83
  84. 84. Which of these numbers is irrational? 4 71 19 90 169 0.875 5 4 -5 14 100 1/30/2015 84
  85. 85. 53 xx  1/30/2015 85
  86. 86. 1/30/2015 86
  87. 87. 28 xx  1/30/2015 87
  88. 88. 1/30/2015 88
  89. 89. 33   xx 1/30/2015 89
  90. 90. 1/30/2015 1 90 33   xx
  91. 91. 1/30/2015 91
  92. 92. 1/30/2015 92
  93. 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. 94. 1/30/2015 Subtract 8 from both sides. Next, multiply both sides by -5. 94 188 5   x
  95. 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. 96. 1/30/2015 Add 5 to both sides. Next, multiply both sides by 3. 96 245 3  x
  97. 97. Step 1: To solve this equation, what do you do first? 24 4 3 x 1/30/2015 97
  98. 98. 1/30/2015 Multiply both sides by the reciprocal ( ). 98 24 4 3 x
  99. 99. Step 1: To solve this equation, what do you do first? 24 11 6 x 1/30/2015 99
  100. 100. 1/30/2015 Multiply both sides by the reciprocal ( ). 100 24 11 6 x
  101. 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. 102. 1/30/2015 First, subtract 4 from each side. Next, multiply both sides by the reciprocal ( ). 102 324 5 8 x
  103. 103. 2 3 5 5 = 1/30/2015 103
  104. 104. 1/30/2015 5 104 2 3 5 5
  105. 105. 2 4 7 7 = 1/30/2015 105
  106. 106. 1/30/2015 49 106 2 4 7 7
  107. 107. 6 6 4 4 = 1/30/2015 107
  108. 108. 1/30/2015 108 6 6 4 4 = 1
  109. 109. 4 7 10 10 = 1/30/2015 109
  110. 110. = 1/30/2015 110 4 7 10 10 = 103 = 1000
  111. 111. 32 Is between _____ and _____ 1/30/2015 111
  112. 112. 1/30/2015 5 and 6 112 32 Is between _____ and _____
  113. 113. 4 m Can also be written as ____ 1/30/2015 113
  114. 114. 1/30/2015 “ONE over M to the 4th Power” 4 1 m 114 4 m Can also be written as ____
  115. 115. Can also be written as ____X-5 1/30/2015 115
  116. 116. 1/30/2015 “ONE over x to the 5th Power” 5 1 x 116 Can also be written as ____X-5
  117. 117. Can also be written as ____ y-2 1/30/2015 117
  118. 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. 119. 1/30/2015 119
  120. 120. 1/30/2015 120
  121. 121. 1/30/2015 121
  122. 122. 1/30/2015 19 122
  123. 123. 1/30/2015 123
  124. 124. 1/30/2015 19 124
  125. 125. 1/30/2015 125
  126. 126. 1/30/2015 0 126
  127. 127. How do you get the slope? What is the slope of the given line? 1/30/2015 127
  128. 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. 129. How do you get the slope? What is the slope of the given line? 1/30/2015 129
  130. 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. 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. 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. 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. 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. 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. 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. 137. A square has an area of 49 feet2. How long is each side? 1/30/2015 137
  138. 138. 1/30/2015 7 feet 138 A square has an area of 49 feet2. How long is each side?
  139. 139. A square has an area of 64 square feet. How long is each side? 1/30/2015 139
  140. 140. 1/30/2015 140 8 feet A square has an area of 64 square feet. How long is each side?
  141. 141. A square has an area of 169 square feet. How long is each side? 1/30/2015 141
  142. 142. 1/30/2015 142 13 feet A square has an area of 169 square feet. How long is each side?
  143. 143. A square has an area of 30 square feet. About how long is each side? 1/30/2015 143
  144. 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. 145. A square has an area of 55 square feet. About how long is each side? 1/30/2015 145
  146. 146. 1/30/2015 146 Between 7 and 8 feet
  147. 147. 1/30/2015 147
  148. 148. What is the slope? y = -4x + 7 1/30/2015 148
  149. 149. What is the slope? -4 y = -4x + 7 1/30/2015 149
  150. 150. What is the slope? y = -x + 7 1/30/2015 150
  151. 151. What is the slope? -1 y = -1x + 7 1/30/2015 151
  152. 152. What is the slope? y = 5 1/30/2015 152
  153. 153. What is the slope? 0 y = 5 y = 0x + 5 1/30/2015 153
  154. 154. How do you find the length of x? 1/30/2015 154
  155. 155. How do you find the length of x? 1/30/2015 155 a2 + b2 = c2
  156. 156. How do you find the length of x? 1/30/2015 156
  157. 157. How do you find the length of x? 1/30/2015 157 c2 - a2 = b2
  158. 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. 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 c15
  160. 160. 6 m 5 m How do you find the length of x? 1/30/2015 160
  161. 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. 162. When would you use formula ? 1/30/2015 162
  163. 163. When would you use formula ? 1/30/2015 163 To find the hypotenuse of a right triangle, or to find c.
  164. 164. Distribute 3(a + b + c) 1/30/2015 164
  165. 165. Distribute 3(a + b + c) 3a + 3b + 3c 1/30/2015 165
  166. 166. Distribute 4(a -x) 1/30/2015 166
  167. 167. Distribute 4(a – x) 4a – 4x 1/30/2015 167
  168. 168. Distribute 2(3f + 4g) 1/30/2015 168
  169. 169. Distribute 2(3f + 4g) 6f + 8g 1/30/2015 169
  170. 170. Distribute -2(a + b) 1/30/2015 170
  171. 171. Distribute -2(a + b) -2a + -2b or -2a – 2b 1/30/2015 171
  172. 172. Distribute -3(x – y – z) 1/30/2015 172
  173. 173. Distribute -3(x – y – z) -3x - -3y - -3z or -3x + 3y + 3z 1/30/2015 173
  174. 174. 1/30/2015 174
  175. 175. Simplify: 24x14 ÷ 12x2 1/30/2015 175
  176. 176. Simplify: 24x14 ÷ 12x2 1/30/2015 176 2x12
  177. 177. Simplify: (ab)-4(ab) = 1/30/2015 177
  178. 178. Simplify: (ab)-4(ab)1 = 1/30/2015 178 (ab)(-4+1) = (ab)-3
  179. 179. How do you simplify?: 1/30/2015 179
  180. 180. How do you simplify?: 1/30/2015 180 )56( 88   1 88 82 = 64
  181. 181. True or False: Slope can be described as steepness. 1/30/2015 181
  182. 182. 1/30/2015 True 182
  183. 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. 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. 185. How do you calculate the SLOPE of the hypotenuse? How do you calculate the LENGTH of the hypotenuse? 1/30/2015 185
  186. 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. 187. How do you calculate the SLOPE of the hypotenuse? How do you calculate the LENGTH of the hypotenuse? 1/30/2015 187
  188. 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. 189. What is the unit rate shown in this chart? 1/30/2015 189
  190. 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. 191. What is the slope shown in this chart? 1/30/2015 191
  192. 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. 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. 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. 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. 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. 197. Convert 6/7 into a decimal or percent. What is the first step? 1/30/2015 197
  198. 198. Convert 6/7 into a decimal or percent. Long Division!!! 1/30/2015 198
  199. 199. Convert 152/7 into a decimal or percent. What is the first step? 1/30/2015 199
  200. 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. 201. Convert 43/8 into a decimal or percent. What is the first step? 1/30/2015 201
  202. 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. 203. Convert 62/9 into a decimal or percent. What is the first step? 1/30/2015 203
  204. 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. 205. 1/30/2015 205
  206. 206. 1/30/2015 206
  207. 207. 1/30/2015 Read this decimal number: 0.56 Convert 0.56 into a fraction. What are the two steps? 207
  208. 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. 209. 1/30/2015 Read this number: 0.375 Convert 0.375 into a fraction. What are the two steps? 209
  210. 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. 211. 1/30/2015 Convert 3.4 into a mixed number. What are the two steps? 211
  212. 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. 213. 1/30/2015 How do you solve this problem? “What is 7/8 of 3/4?” 213
  214. 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. 215. 1/30/2015 How do you solve this problem? “What is two-thirds of five eighths?” 215
  216. 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. 217. 1/30/2015 How do you solve this problem? “What is six-fifths of nine-tenths?” 217
  218. 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. 219. 1/30/2015 What does “OF” represent or indicate in a fraction (or percent) word problem? 219
  220. 220. 1/30/2015 What does “OF” represent or indicate in a fraction (or percent) word problem? Multiply! 220
  221. 221. 1/30/2015 How do you solve this problem? “What is 40% of 350?” 221
  222. 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. 223. 1/30/2015 2 5 6 How do you solve? 223
  224. 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. 225. 1/30/2015 225 6 2 1 4  How do you solve?
  226. 226. 1/30/2015 226 6 2 1 4  How do you solve? Change BOTH to improper fractions, then pre-simplify, then multiply.
  227. 227. 1/30/2015 227 4 3 28 How do you solve?
  228. 228. 1/30/2015 228 4 3 28 How do you solve? Change BOTH to improper fractions, then pre-simplify, then multiply.
  229. 229. 1/30/2015 229 2 1 6 3 2 3  How do you solve?
  230. 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. 231. 1/30/2015 5 students work 6 hours on a project. How many person- hours is this? 231
  232. 232. 1/30/2015 30 person -hours 232
  233. 233. 1/30/2015 10 students work 5 hours at the carwash. How many person- hours is this? 233
  234. 234. 1/30/2015 50 hours 234
  235. 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. 236. 1/30/2015 11 hours 236
  237. 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. 238. 1/30/2015 238 y = x2
  239. 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. 240. 1/30/2015 240 y = -x2
  241. 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. 242. 1/30/2015 242 y = x3
  243. 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. 244. 1/30/2015 244 y = -x3

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