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1. Choose the correct answer.<\/em><\/p>\nIf k is an odd integer, which of the following must be an even integer?<\/p>\n
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k2 \u2212 4<\/label><\/div>\n3k + 2<\/label><\/div>\n2k + 1(12k)\/8<\/label><\/div>\n(6k)\/3<\/label><\/div>\n<\/p>\n<\/div>\n
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Question 1 of 67<\/p>\n<\/div>\n
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Question 2 of 67<\/p>\n
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2. Choose the correct answer.<\/em><\/p>\nIf k is an integer and k = 462\/n, then which of the following could be the value of n?<\/p>\n
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4<\/label><\/div>\n5<\/label><\/div>\n9<\/label><\/div>\n13<\/label><\/div>\n22<\/label><\/div>\n<\/p>\n<\/div>\n
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Question 2 of 67<\/p>\n<\/div>\n
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Question 3 of 67<\/p>\n
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3. Choose the correct answer.<\/em><\/p>\nHow many positive integers less than 100 have a remainder of 2 when divided by 13?<\/p>\n
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6<\/label><\/div>\n7<\/label><\/div>\n8<\/label><\/div>\n9<\/label><\/div>\n10<\/label><\/div>\n<\/p>\n<\/div>\n
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Question 3 of 67<\/p>\n<\/div>\n
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Question 4 of 67<\/p>\n
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4. Choose the correct answer.<\/em><\/p>\nJoan has 100 candies to distribute among 10 children. If each child receives at least 1 candy and no two children receive the same number of candies, what is the maximum number of candies that a child can receive?<\/p>\n
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10<\/label><\/div>\n34<\/label><\/div>\n39<\/label><\/div>\n45<\/label><\/div>\n55<\/label><\/div>\n<\/p>\n<\/div>\n
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Question 4 of 67<\/p>\n<\/div>\n
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Question 5 of 67<\/p>\n
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5. Choose the correct answer.<\/em><\/p>\nIf the average (arithmetic mean) of x, y and 15 is 9, and the average of x, 2y and 2 is 7, then y =<\/p>\n
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5<\/label><\/div>\n6<\/label><\/div>\n7<\/label><\/div>\n8<\/label><\/div>\n9<\/label><\/div>\n<\/p>\n<\/div>\n
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Question 5 of 67<\/p>\n<\/div>\n
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Question 6 of 67<\/p>\n
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6. Choose the correct answer.<\/em><\/p>\nIf (4\/w) + (4\/x) = (4\/y), and wx = y, then the average (arithmetic mean) of w and x is<\/p>\n
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1\/2<\/label><\/div>\n1<\/label><\/div>\n2<\/label><\/div>\n4<\/label><\/div>\n8<\/label><\/div>\n<\/p>\n<\/div>\n
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Question 6 of 67<\/p>\n<\/div>\n
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Question 7 of 67<\/p>\n
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7. Choose the correct answer.<\/em><\/p>\nIn how many different ways can 3 identical green shirts and 3 identical red shirts be distributed among 6 children such that each child receives a shirt?<\/p>\n
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20<\/label><\/div>\n40<\/label><\/div>\n216<\/label><\/div>\n720<\/label><\/div>\n729<\/label><\/div>\n<\/p>\n<\/div>\n
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Question 7 of 67<\/p>\n<\/div>\n
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Question 8 of 67<\/p>\n
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8. Choose the correct answer.<\/em><\/p>\nIn the figure, JKLMNP is a regular hexagon. Find the measure of \u2220MQN.<\/p>\n
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30\u00b0<\/label><\/div>\n45\u00b0<\/label><\/div>\n50\u00b0<\/label><\/div>\n60\u00b0<\/label><\/div>\n75\u00b0<\/label><\/div>\n<\/p>\n<\/div>\n
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Question 8 of 67<\/p>\n<\/div>\n
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Question 9 of 67<\/p>\n
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9. Choose the correct answer.<\/em><\/p>\nIf the population of Townville went from 2105 to 1705, then the percent decrease in population is closest to<\/p>\n
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19<\/label><\/div>\n21<\/label><\/div>\n22<\/label><\/div>\n23<\/label><\/div>\n24<\/label><\/div>\n<\/p>\n<\/div>\n
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Question 9 of 67<\/p>\n<\/div>\n
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Question 10 of 67<\/p>\n
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10. Choose the correct answer.<\/em><\/p>\nThe system of equations has how many solutions?<\/p>\n
3x \u2212 6y = 9<\/p>\n
2y \u2212 x \u2212 3 = 0<\/p>\n
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None<\/label><\/div>\nExactly 1<\/label><\/div>\nExactly 2<\/label><\/div>\nExactly 3<\/label><\/div>\nInfinitely many<\/label><\/div>\n<\/p>\n<\/div>\n
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Question 10 of 67<\/p>\n<\/div>\n
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Question 11 of 67<\/p>\n
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11. Choose the correct answer.<\/em><\/p>\nIf x \u2260 2.5 and 2x = |15 - 4x|, then x =<\/p>\n
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3.5<\/label><\/div>\n4.5<\/label><\/div>\n5.5<\/label><\/div>\n6.5<\/label><\/div>\n7.5<\/label><\/div>\n<\/p>\n<\/div>\n
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Question 11 of 67<\/p>\n<\/div>\n
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Question 12 of 67<\/p>\n
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12. Choose the correct answer.<\/em><\/p>\nWhat is the sum of all possible solutions of the equation:<\/p>\n
|x + 4|\u00b2 \u2013 10|x + 4| = 24?<\/p>\n
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-16<\/label><\/div>\n-14<\/label><\/div>\n-12<\/label><\/div>\n-8<\/label><\/div>\n-6<\/label><\/div>\n<\/p>\n<\/div>\n
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Question 12 of 67<\/p>\n<\/div>\n
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Question 13 of 67<\/p>\n
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13. Choose the correct answer.<\/em><\/p>\nIf 2\u1d2c = 3 and 2\u1d2e = 5, then 2\u00b2\u1d2c\u207a\u1d2e =<\/p>\n
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11<\/label><\/div>\n30<\/label><\/div>\n45<\/label><\/div>\n75<\/label><\/div>\n225<\/label><\/div>\n<\/p>\n<\/div>\n
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Question 13 of 67<\/p>\n<\/div>\n
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Question 14 of 67<\/p>\n
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