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The problems include grouping like terms, expanding binomials and factors, and converting repeated addition into simplified products. It provides sets numbered 1 through 20 with variables (b, c, d, e, f, g, h, i, j, k, m, n, p, r, t, u, v, w, y, z) and space to apply distributive transformations, followed by corresponding correct 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d + d + d + d + d + d  \n4) e + e + e + e + e + e  \n5) 9 + 4f + 5 + 4f  \n6) 7 + 8 + 9g + 9g  \n7) 90h + 80  \n8) 8(10i + 2)  \n9) 27 + 36j  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \nAnswers  \n10) 2 + 4k + 8k + 2  \n11) 27m + 72  \n12) 2(7n + 2)  \n13) p + p + p + p + p + p + p + p  \n14) 9(7r + 5)  \n15) 18 + 18t  \n16) 5u + 9 + 8u + 8  \n17) 4(4v + 5)  \n18) 7 + 8 + 6w + 7w  \n19) 9y + 4 + 6y + 10  \n20) 2(10z + 4)  \n9.  \n10.  \n11.  \n12.  \n13.  \n14.  \n15.  \n16.  \n17.  \n18.  \n19.  \n20.  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n8  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nApplying Properties of Operations  \nName: Answer Key  \n\n| Apply the distributive property to produce an equivalent expression.\u003Cbr>1) 10b + 7 + 3b + 5 |  | Answers\u003Cbr>1. 13b+12 |\n| --- | --- | --- |\n| 2) | c + c + c + c + c + c + c | 2. 7c |\n| 3) | d + d + d + d + d + d + d | 3. 7d |\n| 4) | e + e + e + e + e + e | 4.  6e  |\n| 5) | 9 + 4f + 5 + 4f | 5. 8f+14 |\n| 6) | 7 + 8 + 9g + 9g | 6. 18g+15 |\n| 7) | 90h + 80 | 7. 10(9h + 8) |\n| 8) | 8(10i + 2) | 8. 80i + 16 |\n| 9) | 27 + 36j | 9. 9(3 + 4j) |\n| 10) | 2 + 4k + 8k + 2 | 10. 12k+4 |\n| 11) | 27m + 72 |  |\n| 12) | 2(7n + 2) | 11.  9(3m + 8) \u003Cbr>12. 14n + 4 |\n| 13) | p + p + p + p + p + p + p + p | 13. 8p |\n| 14) | 9(7r + 5) | 14. 63r + 45 |\n| 15) | 18 + 18t |  |\n| 16) | 5u + 9 + 8u + 8 | 15.  18(1 + 1t)  |\n| 17) | 4(4v + 5) | 16.  13u+17  |\n| 18) | 7 + 8 + 6w + 7w | 17.  16v + 20  |\n| 19) | 9y + 4 + 6y + 10 | 18.  13w+15  |\n| 20) | 2(10z + 4) | 19.  15y+14 \u003Cbr>20. 20z + 8 |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n8  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nApplying Properties of Operations  \nName:  \nApply the distributive property to produce an equivalent expression.  \n8f+14 9(3 + 4j)  \n14n + 4 12k+4  \n9(3m + 8) 13b+12 10(9h + 8)  \n1) 10b + 7 + 3b + 5  \n2) c + c + c + c + c + c + c  \n3) d + d + d + d + d + d + d  \n4) e + e + e + e + e + e  \n5) 9 + 4f + 5 + 4f  \n6) 7 + 8 + 9g + 9g  \n7) 90h + 80  \n8) 8(10i + 2)  \n9) 27 + 36j  \n10) 2 + 4k + 8k + 2  \n11) 27m + 72  \n12) 2(7n + 2)  \n13) p + p + p + p + p + p + p + p  \n18g+15 80i + 16  \n6e  \n7d  \n7c  \n8p  \nAnswers  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n13.  \nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n8  \n1-10  \n11-13  \n92  \n15  \n85 77 8 0  \n69 62 54 46 38 31 23","cbCairTZJBC9Y3aQ","https://ap.wps.com/l/cbCairTZJBC9Y3aQ","pdf",44495,"English","# Applying Properties of Operations\n## Problems 1-10\n## Problems 11-20\n## Answer Key","[{\"question\":\"What property is used in this worksheet?\",\"answer\":\"The worksheet focuses on the distributive property.\"},{\"question\":\"What is the goal when rewriting each expression?\",\"answer\":\"Each question asks you to produce an equivalent expression.\"},{\"question\":\"How are the problems organized?\",\"answer\":\"The worksheet lists problems numbered 1 through 20, followed by an answer key.\"}]","Applying Properties of Operations - Apply the distributive property to produce an equivalent expression | PDF"]