Math Models Unit 1 Lesson 7

13. Complete each statement using the given property. 5(2x) = _____ ; associative property of multiplication

(5 x 2) x

16. Use the distributive property to calculate each sum, difference, or product. -2 (5x - 3) = _____

- 10x + 6

18. Use the distributive property to calculate each sum, difference, or product. - (3y - 2x + 5) = _____

- 3y + 2x - 5

19) Use the distributive property to calculate each sum, difference, or product. -17 - 51x = _____

-17 (1 + 3x)

14. Complete each statement using the given property. 45 (12 x 0/45) = _____ ; multiplication property of zero

0

11. Complete each statement using the given property. 0.375 x (_____) = 1 ; multiplicative inverse property

1/0.375

21. Use the distributive property to calculate each sum, difference, or product. 5/3x² - 2/3x = _____

1/3x (5x - 2)

23. Use the distributive property to calculate each sum, difference, or product. 2h - 4 = _____

2 (h - 2)

12. Complete each statement using the given property. (2x² + 12x + 18) = _____ ; distributive property

2 (x² + 6x + 9)

24. Use the distributive property to calculate each sum, difference, or product. 25x² - 75 = _____

25 (x² - 3)

22. Use the distributive property to calculate each sum, difference, or product. (-a) (- 2 + 7a) = _____

2a - 7a²

17. Use the distributive property to calculate each sum, difference, or product. 3x + 9 = _____

3 (x + 3)

10. Complete each statement using the given property. 7 + xy = _____ ; commutative property of addition

xy + 7

20. Use the distributive property to calculate each sum, difference, or product. 4x²y + xy² + y³ = _____

y (4x² + xy + y²)

3. Name the property illustrated. 3 (ab) = (3a) b

associative property

1. Name the property illustrated. (x)(2) = (2)(x)

commutative property

4. Name the property illustrated. 1 + x = x + 1

commutative property

2. Name the property illustrated. 3(x + 4) = 3x + 12

distributive property

5. Name the property illustrated. xy² + y = y (xy + 1)

distributive property

6. Name the property illustrated. (1) (y) = y

identity property

7. Name the property illustrated. 2 (1/2) x = x

identity property

9. Name the property illustrated. 3 + (-3) = (-3) + 3 = 0

inverse property

8. Name the property illustrated. (0.1) (10) (0) = 0

multiplication property of zero

15. Use the distributive property to calculate each sum, difference, or product. p (1 + r) = _____

p + pr