1. Mental Math Speed Review With Answers
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3. -2- 4
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4. -6
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5. -2 - 6
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6. -8
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7. -3 - 6
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8. -9
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9.
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10. -13
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11.
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12. -10
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13. -2(6)
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14. -12
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15.
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16. -8
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17. -5(-3)
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18. 15
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19. -5 - 3
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20. -8
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21. -5 + 3
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22. -2
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23. -5 –
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24. -40
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25.
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26. -30
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27. 50 – 25 – 25
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28. 11/28/2018

29. 30 – 20 – 5
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30. 5
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31. 11/28/2018

32. 11/28/2018

33. 11/28/2018

34. 12
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35. 11/28/2018

36. 2
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37. 122
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38. 144
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39. 121
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40. 12
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41. 120
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42. 1
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43. 2 + (3 + 4) = (2 + 3) + 4 Name the Property Commutative Associative
Distributive
Identity
Inverse
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44. Name the Property
2 + (3 + 4) = (2 + 3) + 4
Assoc.
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45. 5 + (-5) = 0 Name the Property Commutative Associative Distributive
Identity
Inverse
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46. Name the Property
5 + (-5) = 0
Inverse
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47. Name the Property Commutative Associative Distributive Identity
Inverse
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48. Inverse
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49. 2 + (3 + 4) = 2 + (4 + 3) Name the Property Commutative Associative
Distributive
Identity
Inverse
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50. Name the Property
2 + (3 + 4) = 2 + (4 + 3)
Commut.
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51. 1(p) = p Name the Property Commutative Associative Distributive
Identity
Inverse
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52. Name the Property
1(p) = p
Identity
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53. 2(3a + 4b) = 6a + 8b Name the Property Commutative Associative
Distributive
Identity
Inverse
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54. Name the Property
2(3a + 4b) = 6a + 8b
Distribut.
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55. a + (b + c) = (a + b) + c Name the Property Commutative Associative
Distributive
Identity
Inverse
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56. Name the Property
a + (b + c) = (a + b) + c
Assoc.
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57. (a + b) + c = c + (a + b) Name the Property Commutative Associative
Distributive
Identity
Inverse
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58. Name the Property
(a + b) + c = c + (a + b)
Commut
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59. 5(a + 10) = 5a + 50 Name the Property Commutative Associative
Distributive
Identity
Inverse
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60. Name the Property
5(a + 10) = 5a + 50
Distrib.
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61. 11/28/2018

62. 11/28/2018

63. 11/28/2018

64. 7
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65. 11/28/2018

66. 1
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67. 11/28/2018

68. 11/28/2018

69. What is the area in the model above?
AREA = L x W
What is the area in the model above?
What is the perimeter in the model above?
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70. Area = (4 x 5) = 20 units2 Perimeter = (4 + 4 + 5 + 5) = 18 units
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71. What is the area?
What is the perimeter? 12 6 10
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72. Area = (6x10)÷2 = 30units2 Perimeter = 28 units = 6+12+10 12 6 10=
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73. What is the area?
What is the perimeter? 5 3 4
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74. Area = 3 x 4 ÷2 = 6 units2 Perimeter = 12 units = 3 + 4 + 5
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75. This is a square. Each side measures 6 inches. What is the area?
What is the perimeter?
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76. Area = 36 in2 Perimeter = 24 in 6 inches This is a square.=
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77. This is a rectangle. What is the area? What is the perimeter? 3 inches
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78. Area = 3 x 2 = 6 in2 Perimeter = 10 in 3+3+2+2 3 inches 2 inches
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79. Which of these numbers is irrational?16
7.777…
-64 15
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80. Which of these numbers is irrational?16
7.777…
-64 15
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81. Which of these numbers is irrational?
1.2666…
-35
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82. Which of these numbers is irrational?
1.2666…
-35
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83. 100
Which of these numbers is irrational?
0.875 -5
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84. 100
Which of these numbers is irrational?
0.875 -5
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85. 11/28/2018

86. 11/28/2018

87. 11/28/2018

88. 11/28/2018

89. 11/28/2018

90. 1
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91. 11/28/2018

92. 11/28/2018

93. Step 1: To solve this equation, what do you do first?
Step 2: What do you next?
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94. Subtract 8 from both sides. Next, multiply both sides by -5.
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95. Step 1: To solve this equation, what do you do first?
Step 2: What do you next?
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96. Next, multiply both sides by 3.
Add 5 to both sides.
Next, multiply both sides by 3.
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97. Step 1: To solve this equation, what do you do first?
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98. Multiply both sides
by the reciprocal ( ).
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99. Step 1: To solve this equation, what do you do first?
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100. Multiply both sides
by the reciprocal ( ).
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101. Step 1: To solve this equation, what do you do first?
Step 2: What do you do next?
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102. First, subtract 4 from each side. Next, multiply both sides
by the reciprocal ( ).
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103. =
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104. 5
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105. =
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106. 49
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107. =
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108. = 1
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109. 11/28/2018

110. Remember:
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111. =
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112. =
= 103 = 1000
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113. Is between _____ and _____
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114. Is between _____ and _____
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115. Can also be written as ____
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116. “ONE over M to the 4th Power”
Can also be written as ____
“ONE over M to the 4th Power”
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117. X-5
Can also be written as ____
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118. “ONE over x to the 5th Power”
Can also be written as ____
“ONE over x to the 5th Power”
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119. y-2
Can also be written as ____
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120. “ONE over Y to the 2nd Power or “ONE over Y squared”
Can also be written as ____
“ONE over Y to the 2nd Power or
“ONE over Y squared”
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121. 11/28/2018

122. 11/28/2018

123. 11/28/2018

124. 19
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125. 11/28/2018

126. 19
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127. 11/28/2018

128. 11/28/2018

129. What is the slope of the given line?
How do you get the slope?
What is the slope of the given line?
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130. What is the slope of the given line? 3 over 4, 3/4
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, /4
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131. What is the slope of the given line?
How do you get the slope?
What is the slope of the given line?
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132. 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, /2
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133. What is the slope of the given line?
How do you get the slope?
What is the slope of the given line?
Does it matter which points you use?
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134. 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!
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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 (3,5) and (-1,-2)?
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136. You plot the two points on a graph, and write a fraction that shows:
The change in Y over the change in X
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137. 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)?
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138. You plot the two points on a graph, and write a fraction that shows:
The change in Y over the change in X
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139. A square has an area of 49 feet2. How long is each side?
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140. 7 feet A square has an area of 49 feet2. How long is each side?
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141. A square has an area of 64 square feet. How long is each side?
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142. 8 feet A square has an area of 64 square feet. How long is each side?
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143. A square has an area of 169 square feet. How long is each side?
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144. A square has an area of 169 square feet. How long is each side?
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145. A square has an area of 30 square feet. About how long is each side?
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146. A square has an area of 30 square feet. About how long is each side?
Between 5 and 6 feet
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147. A square has an area of 55 square feet. About how long is each side?
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148. Between 7 and 8 feet
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149. 11/28/2018

150. 11/28/2018

151. What is the slope?
y = -4x + 7
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152. What is the slope? -4
y = -4x + 7
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153. What is the slope?
y = -x + 7
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154. What is the slope? -1
y = -1x + 7
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155. What is the slope?
y = 5
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156. What is the slope?
y = 5
y = 0x + 5
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157. How do you find the length of x?
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158. How do you find the length of x?
a2 + b2 = c2
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159. How do you find the length of x?
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160. How do you find the length of x?
c2 - a2 = b2
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161. 1. A right triangle has legs that are 6 cm and 8 cm long
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?
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162. a2 + b2 = c2 both sides! Take the square root of
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!
a2 + b2 = c2
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163. How do you find the length of x?
5 m
6 m
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164. c2 - a2 = b2 52 - 32 = b2 How do you find the length of x? 5 m 6 m 3
Notice 3 not 6
5 m 3
6 m
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165. When would you use formula ?
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166. When would you use formula ?
To find the hypotenuse of a
right triangle, or to find c.
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167. Distribute
3(a + b + c)
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168. Distribute
3(a + b + c)
3a + 3b + 3c
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169. Distribute
4(a -x)
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170. Distribute
4(a – x)
4a – 4x
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171. Distribute
2(3f + 4g)
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172. Distribute
2(3f + 4g)
6f + 8g
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173. Distribute
-2(a + b)
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174. Distribute
-2(a + b)
-2a + -2b or
-2a – 2b
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175. Distribute
-3(x – y – z)
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176. Distribute
-3(x – y – z)
-3x - -3y - -3z or
-3x + 3y + 3z
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177. 11/28/2018

178. 11/28/2018

179. Simplify:
24x14 ÷ 12x2
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180. Simplify: 24x14 ÷ 12x2
2x12
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181. Simplify:
(ab)-4(ab) =
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182. Simplify:
(ab)-4(ab)1 =
(ab)(-4+1) =
(ab)-3
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183. How do you simplify?:
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184. How do you simplify?:
82 = 64
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185. True or False: Slope can be described as steepness.
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186. True
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187. What is wrong with this sentence: Slope is the ratio (fraction) of the change in x to the change in y.
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188. It is backwards, slope is the ratio of the change in Y to X,
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.
Notice
y’s in the numerator,
x’s in the denominator!
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189. How do you calculate the SLOPE of the hypotenuse?
calculate the LENGTH
of the hypotenuse?
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190. Use a2 + b2 = c2 (because it is a right triangle).
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).
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191. How do you calculate the SLOPE of the hypotenuse?
calculate the LENGTH
of the hypotenuse?
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192. 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).
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193. How do you set this problem up?
“A car travels 420 miles in seven hours. How fast is it traveling?”
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194. “A car travels 420 miles in seven hours. How fast is it traveling?”
How do you set this problem up? Use the distance triangle (420 divided by 7)
“A car travels 420 miles in seven hours. How fast is it traveling?”
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195. How do you set this problem up?
“A train travels at the speed of 80 miles per hour. You ride it for five hours in the morning and four hours in the afternoon. How far do you travel on that train?”
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196. How do you set this problem up? Use the distance triangle (80 times 9)
“A train travels at the speed of 80 miles per hour. You ride it for five hours in the morning and four hours in the afternoon. How far do you travel on that train?”
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197. What is the unit rate shown in this chart?
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198. What is the unit rate shown in this chart?2
Or find the slope,
change in Y over
change in X (30/2) and
simplify it (15/1),
= 15 miles per hour 30 15
Find the rate for
ONE (1) hour!
= 15 miles per hour
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199. What is the slope shown in this chart?
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200. What is the unit rate shown in this chart?2
Or find the slope,
change in Y over
change in X (30/2) and
simplify it (15/1),
Slope = 15 30 15
Find the rate for
ONE (1) hour!
Slope = 15/1 = 15
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201. What is the unit rate shown in this chart?
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202. What is the unit rate shown in this chart?
$150 per
month
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203. 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?
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204. then cross multiply (butterfly)
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 words =
6 minutes x minutes
What step(s) would you take to solve this problem?
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205. Convert 6/7 into a decimal or percent.
What is the first step?
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206. Convert 6/7 into a decimal or percent.
Long Division!!!
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207. Convert 152/7 into a decimal or percent.
What is the first step?
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208. Convert 152/7 into a decimal or percent. What is the first step?
Long division, 2 divided by 7.
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209. Convert 43/8 into a decimal or percent.
What is the first step?
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210. Convert 43/8 into a decimal or percent.
What is the first step? Long division, 3 divided by 8.
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211. Convert 62/9 into a decimal or percent.
What is the first step?
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212. Convert 62/9 into a decimal or percent. What is the first step?
Long Division, 2 divided by 9.
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213. 11/28/2018

214. 11/28/2018

215. Read this decimal number: 0.56 Convert 0.56 into a fraction.
What are the two steps?
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216. Convert 0.56 into a fraction. What are the two steps?
Fifty-six hundredths.
Convert 0.56 into a fraction.
What are the two steps?
Write the 56 over 100
(56/100)
then simplify.
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217. Convert 0.375 into a fraction. What are the two steps?
Read this number:
0.375
Convert into a fraction.
What are the two steps?
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218. 0.375 Three hundred seventy- Five thousandths.
Convert into a fraction.
What are the two steps?
Write 375 over 1000 (375/1000),
then simplify.
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219. Convert 3.4 into a mixed
number.
What are the two steps?
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220. Convert 3.4 into a mixed number. What are the two steps?
Write 4 over 10 (4/10),
then simplify (2/5), then write the 3 alongside the fraction:
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221. How do you solve this problem?
“What is 7/8 of 3/4?”
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222. 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!
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223. How do you solve this problem?
“What is two-thirds of five eighths?”
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224. 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!
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225. How do you solve this problem?
“What is six-fifths of nine-tenths?”
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226. 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!
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227. What does “OF” represent or indicate in a fraction (or percent) word problem?
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228. What does “OF” represent or indicate in a fraction (or percent) word problem?
Multiply!
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229. How do you solve this problem?
“What is 40% of 350?”
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230. How do you solve this problem? “What is 40% of 350?”
Multiply .40 times 350 Or
Multiply 40/100 times 350
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231. How do you solve?
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232. How do you solve?
Change 6 to improper fraction then pre-simplify, then multiply across.
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233. How do you solve?
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234. How do you solve?
Change BOTH to improper fractions, then pre-simplify, then multiply.
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235. How do you solve?
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236. How do you solve?
Change BOTH to improper fractions, then pre-simplify, then multiply.
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237. How do you solve?
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238. How do you solve?
Change BOTH to improper fractions, then pre-simplify, then multiply.
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239. 5 students work 6 hours on a project. How many person-hours is this?
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240. 30 person -hours
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241. 10 students work 5 hours at the carwash. How many person-hours is this?
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242. 50 hours
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243. It took the contractor 33 person-hours to paint the house
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.
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244. 11 hours
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245. What is the equation for this set of points?
Choose one:
y = x2
y = -x2
y = x3
y = -x3
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246. y = x2
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247. What is the equation for this set of points?
Choose one:
y = x2
y = -x2
y = x3
y = -x3
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248. y = -x2
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249. What is the equation for this set of points?
Choose one:
y = x2
y = -x2
y = x3
y = -x3
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250. y = x3
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251. What is the equation for this set of points?
Choose one:
y = x2
y = -x2
y = x3
y = -x3
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252. y = -x3
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253. Write 48,000 in scientific notation
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254. Write 48,000 in scientific notation
4.8 x 104
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255. Write 6,270 in scientific notation
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256. Write 6,270 in scientific notation
6.27 x 103
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257. Write 0.0023 in scientific notation
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258. Write 0.0023 in scientific notation
2.3 x 10-3
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259. Write 4.5 x 103 in standard form
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260. Write 4.5 x 103 in standard form
4500
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261. Write 7.2 x 10-3 in standard form
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262. Write 7.2 x 10-3 in standard form
0.0072
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263. Write 1.8 x 10-2 in standard form
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264. Write 1.8 x 10-2 in standard form
0.018
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