Name _______________________________________ Date _________________________Mrs. Labuski / Mrs. Portsmore Period _____ Unit 4 Lesson 5 Distributive Property

TB 1-5 / OC 3-5Essential Question: How can using properties help you to represent mathematical relationships?

Vocabulary Definition Example

DistributiveProperty

Solve using the distributive property

1. 3(2 + 5) 2. 4(3 + 6) 3. 5(7 + 4)

4. 6(6 + 5) 5. 4(2 + 5) 6. 3(9 + 2)

7. 7(7 + 6) 8. 8(3 + 6) 9. 3(x + 2)

10. 4(3 + b) 11. 5a(2a + 3b) 12. 6r(3s – 4)

13. 9x(4x + 3y) 14. 4.5(9x + 4) 15. 2.3(3.4 + 3.1x)

Name _______________________________________ Date _________________________Mrs. Labuski / Mrs. Portsmore Period _____ Unit 4 Lesson 5 Distributive Property

TB 1-5 / OC 3-5

Essential Question: How can using properties help you to represent mathematical relationships?

Vocabulary Definition Example

DistributiveProperty

Multiply each number in the parenthesis by the number on the

outside and then add

6 x (10 + 4)6 x 10 + 6 x 4

60 + 2484

Solve using the distributive property

1. 3(2 + 5) 2. 4(3 + 6) 3. 5(7 + 4)(3 x 2) + (3 x 5) (4 x 3) + (4 x 6) (5 x 7) + (5 x 4) 6 + 15 12 + 24 35 + 20 21 36 55

4. 6(6 + 5) 5. 4(2 + 5) 6. 3(9 + 2) (6 x 6) + (6 x 5) (4 x 2) + (4 x 5) (3 x 9) + (3 x 2)36 + 30 8 + 20 27 + 6 66 28 33

7. 7(7 + 6) 8. 8(3 + 6) 9. 3(x + 2)(7 x 7) + (7 x 6) (8 x 3) + (8 x 6) 3x +6 49 + 42 24 + 48 91 72

10. 4(3 + b) 11. 5a(2a + 3) 12. 6r(3s – 4) 12 + 4b 10a2 + 15a 18rs – 24r

13. 9x(4x + 3y) 14. 4.5(9x + 4) 15. 2.3(3.4 + 3.1x)36x2 + 27xy 40.5x + 18 7.82 + 7.13x

Name _______________________________________ Date _________________________Mrs. Labuski / Mrs. Portsmore Period _____ Unit 4 Lesson 5 Distributive Prop HW

TB 1-5 / OC 3-5

Essential Question: How can using properties help you to represent mathematical relationships?

1. 3(x + 1) 2. 4(a + 2)

3. 5(x + y) 4. 10(a – b)

5. 6.5(3.2x + 4.6) 6. 4.2(12a + 8.9)

TRY them!!!!! Hint: 3• 3 = 32, so… x • x = x2

7. 2x(x + 2) 8. 3x(x + 2y)

9. 2x(5x – y) 10. 5x(a + b)