practice 3-6 the distributive...

Name Class Date © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. 165 L1 Practice Course 1 Lesson 3-6 Practice 3-6 The Distributive Property Use the Distributive Property to write an equivalent expression for each of the following. 1. 6(x 1 7) 2. 8(7 1 9p) 3. (5n 1 12) 3 4 4. 6(7c 1 4d 1 11) Factor each expression. Check your solution. 5. 27 1 33 6. 30 1 72 7. 45 1 55 1 20 8. 12 1 56 9. 56 1 120 10. 27 1 63 1 54 11. 4x 1 18 12. 65 1 15x 13. 15b 1 24c 1 33 14. The auditorium at the School for the Arts has 7 rows of seats, and each row has 102 seats in it. Use the Distributive Property to find the number of seats in the auditorium. 15. A movie theater charges $5.50 for a student ticket. Use the Distributive Property to find the cost for 8 students. 16. Samantha has saved $35 from doing chores around the house. She buys 5 packs of gum and 8 packs of erasers from the school store. Use the Distributive Property to find how much Samantha spent at the school store. How much change should she receive from the cashier? Item Cost per pack Pencils $3.00 Erasers $1.75 Gum $2.50 Taffy $2.00

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Page 1: Practice 3-6 The Distributive Propertydianeroyer.weebly.com/uploads/4/5/6/1/4561014/the_distributive... · Practice 3-6 The Distributive Property Use the Distributive Property to

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165L1 Practice Course 1Lesson3-6

Practice 3-6 The Distributive Property

Use the Distributive Property to write an equivalent expression for each of the following.

1. 6(x17) 2. 8(719p)

3. (5n112)34 4. 6(7c14d111)

Factor each expression. Check your solution.

5. 27133 6. 30172 7. 45155120

8. 12156 9. 561120 10. 27163154

11. 4x118 12. 65115x 13. 15b124c1 33

14. TheauditoriumattheSchoolfortheArtshas7rowsofseats,andeachrowhas102seatsinit.UsetheDistributivePropertytofindthenumberofseatsintheauditorium.

15. Amovietheatercharges$5.50forastudentticket.UsetheDistributivePropertytofindthecostfor8students.

16. Samanthahassaved$35fromdoingchoresaroundthehouse.Shebuys5packsofgumand8packsoferasersfromtheschoolstore.UsetheDistributivePropertytofindhowmuchSamanthaspentattheschoolstore.Howmuchchangeshouldshereceivefromthecashier?

ItemCost per

pack

Pencils $3.00

Erasers $1.75

Gum $2.50

Taffy $2.00

460103_C1_Ch3_WKbk_Ver-2.indd 165 22/11/12 2:35 PM

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dianeroyer.weebly.comdianeroyer.weebly.com/uploads/4/5/6/1/4561014/solving...Algebra 2-6 the Distributive Property ONTEN TANDARD 7.EE.3, 7.EE.4.a What You'll Learn To solve equations