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Problems reference angle XQR as 180° and use linear expressions on both sides of equations, such as combinations of coefficients with a and b plus constants. The document provides selected answers for multiple items and includes repeated equation forms, illustrating how to solve for each variable through equivalent expressions. 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Angle XQR is 180°. |  |  | | Answers\u003Cbr>1.    \u003Cbr>2.    \u003Cbr>3.    \u003Cbr>4.    \u003Cbr>5.    \u003Cbr>6.    \u003Cbr>7.    \u003Cbr>8.     |\n| --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5)\u003Cbr>7) | M\u003Cbr>\u003Cbr>X Q\u003Cbr>\u003Cbr>4b + 132\u003Cbr>-12a + 64\u003Cbr>R\u003Cbr>\u003Cbr>150-5b\u003Cbr>L\u003Cbr>\u003Cbr>46-3a\u003Cbr>X\u003Cbr>\u003Cbr>0a + 72\u003Cbr>R\u003Cbr>120-4b\u003Cbr>\u003Cbr>X\u003Cbr>117-5a\u003Cbr>\u003Cbr>\u003Cbr>Q\u003Cbr>M\u003Cbr>4b + 73\u003Cbr>R\u003Cbr>\u003Cbr>\u003Cbr>134-6b\u003Cbr>82-3a\u003Cbr>L\u003Cbr>\u003Cbr>| 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) |  |  |\n\n[Math](Math www.CommonCoreSheets.com 2 1-8)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2 1-8)[ 2](Math www.CommonCoreSheets.com 2 1-8)[ 1-8](Math www.CommonCoreSheets.com 2 1-8) 88 75 63 50 38 25 13 0  \n\n|  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n\nFinding Variable Value by Balancing Equations  \nName: Answer Key  \n\n| Find the value of 'a' and 'b'. Angle XQR is 180°. |  |  | |  |  | Answers 1.  2   2  2.  8   9  3.  8   3  4.  4   5  5.  6   5  6.  6   2  7.  6   3  8.  10   2  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5)\u003Cbr>7) | M\u003Cbr>\u003Cbr>X Q\u003Cbr>\u003Cbr>4b + 132\u003Cbr>-12a + 64\u003Cbr>R\u003Cbr>\u003Cbr>150-5b\u003Cbr>L\u003Cbr>\u003Cbr>46-3a\u003Cbr>X\u003Cbr>\u003Cbr>0a + 72\u003Cbr>R\u003Cbr>120-4b\u003Cbr>\u003Cbr>X\u003Cbr>117-5a\u003Cbr>\u003Cbr>\u003Cbr>Q\u003Cbr>M\u003Cbr>4b + 73\u003Cbr>R\u003Cbr>\u003Cbr>\u003Cbr>134-6b\u003Cbr>82-3a\u003Cbr>L\u003Cbr>\u003Cbr>| 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) |  |  |  |  |  |  |  |  |  |\n| 1-8 |  |  |  | 88 | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 2)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2)[ 2](Math www.CommonCoreSheets.com 2)  \nFinding Variable Value by Balancing Equations  \nName:  \n\n| Find the value of 'a' and 'b'. Angle XQR is 180°. |  |  | X\u003Cbr>-3a + 117\u003Cbr>\u003Cbr>\u003Cbr>Q\u003Cbr>M\u003Cbr>69 + 2b\u003Cbr>R\u003Cbr>\u003Cbr>X\u003Cbr>153-11a\u003Cbr>\u003Cbr>81-2b\u003Cbr>R\u003Cbr>\u003Cbr>\u003Cbr>119 + 1b\u003Cbr>L\u003Cbr>\u003Cbr>\u003Cbr>71-2a | Answers\u003Cbr>1.    \u003Cbr>2.    \u003Cbr>3.    \u003Cbr>4.    \u003Cbr>5.    \u003Cbr>6.     |\n| --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5) | M\u003Cbr>\u003Cbr>X Q\u003Cbr>\u003Cbr>4b + 132\u003Cbr>-12a + 64\u003Cbr>R\u003Cbr>\u003Cbr>150-5b\u003Cbr>L\u003Cbr>\u003Cbr>46-3a\u003Cbr>X\u003Cbr>\u003Cbr>0a + 72\u003Cbr>R\u003Cbr>120-4b\u003Cbr>\u003Cbr>\u003Cbr>123-6b\u003Cbr>\u003Cbr>L\u003Cbr>81 + 1a | 2)\u003Cbr>4)\u003Cbr>6) |  |  |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n2  \n1-6  83  67  50  33  17  0","cbCaifzXyJmo0D3W","https://ap.wps.com/l/cbCaifzXyJmo0D3W","pdf",46871,"English","# Find the value of a and b\n## Angle XQR is 180°\n## Provided answer key","[{\"question\":\"What variables does the worksheet ask to find?\",\"answer\":\"It asks for the values of 'a' and 'b'. Each item uses expressions that include a and b.\"},{\"question\":\"How is the angle condition used in the problems?\",\"answer\":\"The worksheet states that angle XQR is 180°, which supports setting up the balancing equations used to solve for the variables.\"},{\"question\":\"Where can the correct solutions be found?\",\"answer\":\"The document includes an Answer Key section that lists the correct answers for the numbered items.\"}]","Finding Variable Value by Balancing Equations | PDF",1790771581]