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The problems ask students to find the value of a variable by applying basic inverse operations, with equations presented for multiple letters (a, t, b, c, n, p, m, k, w). Example equation forms include decimal-multiplication, addition-subtraction with decimals, and fraction-based multiplication and addition. Answers are listed for items 1 through 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7.62 = 13.76  \n7) c + 1⁄ 10 = 2⁄ 5 8) 2.5p = 60  \n9) a + 1⁄ 3 = 3⁄ 4 10) 2.5m = 57.5  \n11) c + 3.78 = 11.57 12) ( 1⁄ 12)m = 6  \n13) k + 2.53 = 4.52 14) ( 5⁄ 6)n = 70  \n15) k + 7⁄ 10 = 4⁄ 5 16) 0.75t = 7.5  \n17) p + 1⁄ 3 = 1⁄ 2 18) 0.6t = 7.8  \n19) ( 5⁄ 12) w = 40 20) t + 6.8 = 9  \nAnswers  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n13.  \n14.  \n15.  \n16.  \n17.  \n18.  \n19.  \n20.  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n4  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nSolving One-Step Equations with Decimals and Fractions Name: Answer Key  \nSolve each equation.  \n1) 0.25a = 4.5 2) t + 1⁄ 10 = 1⁄ 5  \n3) t + 4.56 = 12.39 4) ( 1⁄ 4)t = 7  \n5) ( 1⁄ 6)n = 7 6) b + 7.62 = 13.76  \n7) c + 1⁄ 10 = 2⁄ 5 8) 2.5p = 60  \n9) a + 1⁄ 3 = 3⁄ 4 10) 2.5m = 57.5  \n11) c + 3.78 = 11.57 12) ( 1⁄ 12)m = 6  \n13) k + 2.53 = 4.52 14) ( 5⁄ 6)n = 70  \n15) k + 7⁄ 10 = 4⁄ 5 16) 0.75t = 7.5  \n17) p + 1⁄ 3 = 1⁄ 2 18) 0.6t = 7.8  \n19) ( 5⁄ 12) w = 40 20) t + 6.8 = 9  \nAnswers  \n1. 18  \n1  \n2. ⁄ 10 3. 7.83 4. 28 5. 42  \n6. 6.14 3  \n7. ⁄ 10  \n8. 24  \n5  \n9. ⁄ 12  \n10. 23  \n11. 7.79  \n12. 72  \n13. 1.99  \n14. 84  \n1  \n15. ⁄ 10  \n16. 10 1  \n17. ⁄ 6 18. 13 19. 96 20. 2.2  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n4  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nSolving One-Step Equations with Decimals and Fractions Name:  \n\n| Solve each equation. |  |  |  |  |  |  |  |  |  |  | Answers |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5)\u003Cbr>7)\u003Cbr>9) | 0.25a = 4.5\u003Cbr>t + 4.56 = 12.39\u003Cbr>( 1⁄ 6)n = 7\u003Cbr>1 2 c + ⁄ 10 = ⁄ 5\u003Cbr>1 3 a + ⁄ 3 = ⁄ 4 |  |  | 2) t + 1⁄ 10 = 1⁄ 5\u003Cbr>4) ( 1⁄ 4)t = 7\u003Cbr>6) b + 7.62 = 13.76\u003Cbr>8) 2.5p = 60\u003Cbr>10) 2.5m = 57.5 |  |  |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |  |\n| 11)\u003Cbr>13) | c\u003Cbr>k | + 3.78 = 11.57 12) ( 1⁄ 12)m = 6\u003Cbr>+ 2.53 = 4.52 14) ( 5⁄ 6)n = 70 |  |  |  |  |  |  |  |  | 11.  \u003Cbr>12.  \u003Cbr>13.  \u003Cbr>14.  \u003Cbr>15.   |  |  |  |  |  |  |\n| 15) | k | 7 4 + ⁄ 10 = ⁄ 5 |  | 16) 0.75t = 7.5 |  |  |  |  |  |  | 16.   |  |  |  |  |  |  |\n|  |  | Math | Modified\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) |  | 4 | 1-10\u003Cbr>11-16 | 94 | 88 | 81 | 75 |  | 69 | 63 | 56 | 50 | 44 | 38 |\n|  |  |  |  |  |  |  | 31 | 25 | 19 | 13 |  | 6 | 0 |  |  |  |  |","cbCailm87g9z36MV","https://ap.wps.com/l/cbCailm87g9z36MV","pdf",61804,"English","# Solve each equation\n## Answer key","[{\"question\":\"What types of equations are included in the worksheet?\",\"answer\":\"The worksheet includes one-step linear equations that use decimals and fractions, often requiring one inverse operation to isolate the variable.\"},{\"question\":\"What does the answer key provide?\",\"answer\":\"The answer key lists the solved values for problems numbered 1 through 20.\"},{\"question\":\"What variable formats appear in the problems?\",\"answer\":\"The equations use several different variables such as a, t, b, c, n, p, m, k, and w.\"}]","Solving One-Step Equations with Decimals and Fractions - Answer Key | PDF",1790771881]