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\n1) 3(4 + 2b)  \n2) 30c + 20  \n3) 8(7d + 2)  \n4) 20e + 16  \n5) 6(7f + 7)  \n6) g + g + g + g + g  \n7) 2(6h + 5)  \n8) 60 + 42i  \n9) 36 + 28j  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \nAnswers  \n10) k + k + k + k + k + k + k  \n11) 4(3 + 8m)  \n12) 4(8n + 7)  \n13) 2p + 8p + 3 + 9  \n14) 20r + 10  \n15) 8(6t + 9)  \n16) u + u + u + u + u + u  \n17) 2(6v + 4)  \n18) 54w + 42  \n19) y + y + y + y + y + y + y  \n20) 8(5z + 10)  \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  \nApplying Properties of Operations  \nName: Answer Key  \n\n| Apply the distributive property to produce an equivalent expression.\u003Cbr>1) 3(4 + 2b) | Answers\u003Cbr>1. 12 + 6b |\n| --- | --- |\n| 2) 30c + 20 | 2. 10(3c + 2) |\n| 3) 8(7d + 2) | 3. 56d + 16 |\n| 4) 20e + 16 | 4.  4(5e + 4)  |\n| 5) 6(7f + 7) | 5. 42f + 42 |\n| 6) g + g + g + g + g | 6. 5g |\n| 7) 2(6h + 5) | 7. 12h + 10 |\n| 8) 60 + 42i | 8. 6(10 + 7i) |\n| 9) 36 + 28j | 9. 4(9 + 7j) |\n| 10) k + k + k + k + k + k + k | 10. 7k |\n| 11) 4(3 + 8m) | 11. 12 + 32m |\n| 12) 4(8n + 7) | 12. 32n + 28 |\n| 13) 2p + 8p + 3 + 9 | 13. 10p+12 |\n| 14) 20r + 10 |  |\n| 15) 8(6t + 9) | 14.  10(2r + 1) \u003Cbr>15. 48t + 72 |\n| 16) u + u + u + u + u + u |  |\n| 17) 2(6v + 4) | 16.  6u  |\n| 18) 54w + 42 | 17.  12v + 8  |\n| 19) y + y + y + y + y + y + y | 18.  6(9w + 7)  |\n| 20) 8(5z + 10) | 19.  7y \u003Cbr>20. 40z + 80 |\n\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  \nApplying Properties of Operations  \nName:  \nApply the distributive property to produce an equivalent expression.  \n10p+12 12 + 6b 32n + 28 4(9 + 7j)  \n42f + 42 12 + 32m 56d + 16 12h + 10  \n5g 6(10 + 7i) 10(3c + 2) 7k  \n4(5e + 4)  \n1) 3(4 + 2b)  \n2) 30c + 20  \n3) 8(7d + 2)  \n4) 20e + 16  \n5) 6(7f + 7)  \n6) g + g + g + g + g  \n7) 2(6h + 5)  \n8) 60 + 42i  \n9) 36 + 28j  \n10) k + k + k + k + k + k + k  \n11) 4(3 + 8m)  \n12) 4(8n + 7)  \n13) 2p + 8p + 3 + 9  \nAnswers  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n13.  \nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n4  \n1-10  \n11-13  \n92  \n15  \n85 77 8 0  \n69 62 54 46 38 31 23","cbCailsDmK8y0231","https://ap.wps.com/l/cbCailsDmK8y0231","pdf",44594,"English","# Apply the distributive property to produce an equivalent expression\n## Questions 1-10\n## Questions 11-20","[{\"question\":\"What does the worksheet ask students to do?\",\"answer\":\"Apply the distributive property to produce equivalent expressions by distributing multiplication over addition in each problem.\"},{\"question\":\"How are answers provided?\",\"answer\":\"An answer key lists the equivalent expanded expressions for items 1 through 20.\"},{\"question\":\"What types of expressions appear in the problems?\",\"answer\":\"The set includes expressions like a factor times a binomial (e.g., 3(4 + 2b)) and repeated-sum forms where grouping leads to multiplication (e.g., g + g + g + g + g).\"}]","Applying Properties of Operations - Apply the distributive property to produce an equivalent expression | PDF"]