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The sheet includes sixteen problems using comparisons such as addition, subtraction, multiplication, division, and compound terms, with final determinations listed for each item from 1 through 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of n. |  |  |  |  |  |  |  |  | Answers |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) | n = 96 | 2) n = 80 | 3) | n = 24 |  |  |  |  |  |  |  |  |  |  |\n| 4)\u003Cbr>7) | n + 87 \u003C 182\u003Cbr>n = 75\u003Cbr>9 × n ≥ 673\u003Cbr>n = 36\u003Cbr>n ÷ 3 > 15 | n − 3 > 74\u003Cbr>5) n = 48\u003Cbr>3 × n \u003C 146\u003Cbr>8) n = 84\u003Cbr>n − 17 ≤ 69 | 6)\u003Cbr>9) | n ÷ 8 ≤ 0\u003Cbr>n = 56\u003Cbr>n + 87 ≥ 144\u003Cbr>n = 77\u003Cbr>n + 64 ≤ 139 |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.   |  |  |  |  |  |\n| 10) | n = 20 | 11) n = 93 | 12) | n = 57 |  |  |  |  | 8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |\n| 13)\u003Cbr>16) | n ÷ 5 \u003C 6\u003Cbr>n = 27\u003Cbr>n ÷ 9 > 0\u003Cbr>n = 52 | n − 30 > 60\u003Cbr>14) n = 64\u003Cbr>n + 15 ≤ 76 | 15) | 5 × n ≥ 286\u003Cbr>n = 82\u003Cbr>n − 20 \u003C 64 |  |  |  |  | 11.  \u003Cbr>12.  \u003Cbr>13.  \u003Cbr>14.  \u003Cbr>15.  \u003Cbr>16.   |  |  |  |  |  |\n|  | 7 × n ≥ 365 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 6 | 1-10\u003Cbr>11-16 | 94 | 88 | 81 | 75 | 69 | 63 | 56 | 50 | 44 | 38 |\n|  |  |  |  |  | 31 | 25 | 19 | 13 | 6 | 0 |  |  |  |  |\n\nDeciding if an  \nInequality is True  \nName: Answer Key  \n\n| Determine whether each inequality is true or false for the given value of n.\u003Cbr>1) n = 96 2) n = 80 3) n = 24 n + 87 \u003C 182 n − 3 > 74 n ÷ 8 ≤ 0\u003Cbr>4) n = 75 5) n = 48 6) n = 56\u003Cbr>9 × n ≥ 673 3 × n \u003C 146 n + 87 ≥ 144\u003Cbr>7) n = 36 8) n = 84 9) n = 77\u003Cbr>n ÷ 3 > 15 n − 17 ≤ 69 n + 64 ≤ 139\u003Cbr>10) n = 20 11) n = 93 12) n = 57\u003Cbr>n ÷ 5 \u003C 6 n − 30 > 60 5 × n ≥ 286\u003Cbr>13) n = 27 14) n = 64 15) n = 82\u003Cbr>n ÷ 9 > 0 n + 15 ≤ 76 n − 20 \u003C 64\u003Cbr>16) n = 52\u003Cbr>7 × n ≥ 365 | Answers\u003Cbr>1.  False \u003Cbr>2.  True \u003Cbr>3.  False \u003Cbr>4.  True \u003Cbr>5.  True \u003Cbr>6.  False \u003Cbr>7.  False \u003Cbr>8.  True \u003Cbr>9.  False \u003Cbr>10.  True \u003Cbr>11.  True \u003Cbr>12.  False \u003Cbr>13.  True \u003Cbr>14.  False \u003Cbr>15.  True \u003Cbr>16.  False  |\n| --- | --- |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n6  \n1-10 11-16  \n\n| 94 | 88 | 81 | 75 | 69 | 63 | 56 | 50 | 44 | 38 |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 31 | 25 | 19 | 13 | 6 | 0 |  |  |  |  |\n\nDeciding if an  \nInequality is True  \nName:  \n\n| Determine whether each inequality is true or false for the given value of n.\u003Cbr>1) n = 96\u003Cbr>n + 87 \u003C 182 |  |  |  |  |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) n = 80\u003Cbr>n − 3 > 74 |  |  |  |  |  |  |  |  | 2.  \u003Cbr>3.   |  |  |  |  |  |\n| 3) | n = 24\u003Cbr>n ÷ 8 ≤ 0 |  |  |  |  |  |  |  | 4.   |  |  |  |  |  |\n| 4) | n = 75\u003Cbr>9 × n ≥ 673 |  |  |  |  |  |  |  | 5.  \u003Cbr>6.   |  |  |  |  |  |\n| 5) | n = 48\u003Cbr>3 × n \u003C 146 |  |  |  |  |  |  |  | 7.  \u003Cbr>8.   |  |  |  |  |  |\n| 6) | n = 56\u003Cbr>n + 87 ≥ 144 |  |  |  |  |  |  |  | 9.   |  |  |  |  |  |\n| 7) | n = 36\u003Cbr>n ÷ 3 > 15 |  |  |  |  |  |  |  | 10.  \u003Cbr>11.   |  |  |  |  |  |\n| 8) | n = 84\u003Cbr>n − 17 ≤ 69 |  |  |  |  |  |  |  | 12.   |  |  |  |  |  |\n| 9) | n = 77\u003Cbr>n + 64 ≤ 139 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | n = 20\u003Cbr>n ÷ 5 \u003C 6 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | n = 93\u003Cbr>n − 30 > 60 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | n = 57\u003Cbr>5 × n ≥ 286 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math | Modified\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 6 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |","cbCaihRbofLTz7i6","https://ap.wps.com/l/cbCaihRbofLTz7i6","pdf",43274,"English","# Determine True or False\n## Substitute the given value of n","[{\"question\":\"How do you determine whether each inequality is true or false?\",\"answer\":\"Substitute the given value of n into the inequality expression, then evaluate whether the comparison is satisfied.\"},{\"question\":\"What types of operations appear in the inequalities?\",\"answer\":\"The problems use operations including addition, subtraction, multiplication, and division with comparisons like less than, greater than, and less than or equal to.\"},{\"question\":\"How many inequalities are included in the answer key?\",\"answer\":\"There are 16 numbered inequalities, with an answer listed for each one from 1 to 16.\"}]","Deciding if an Inequality is True - Answer Key | PDF"]